diff --git "a/data/dm_maths/full_data_1/10076_11255.jsonl" "b/data/dm_maths/full_data_1/10076_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10076_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 6 = 5*y + 3*p + 1, -4*y - 3*p = -1. What is the smallest value in -1\/6, 0.3, y, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90\/12*(-128)\/(-48)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 581 is divided by 80?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**7\/70 + 17*d**3\/6 - 6*d**2. What is the first derivative of v(u) wrt u?\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 2. Suppose 4*l = -4*i - 12, y*l + 3*l = -5*i - 13. Is 39\/4 + l\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -610*l + 36*l + 17794 = 0 for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h**2 - 8*h + 1. Let k(c) = 11*c**2 - 25*c + 4. Let z(a) = 3*k(a) - 8*p(a). Does 2 divide z(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -331276 divided by -2?\nAnswer: 165638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7 - (0 - 4)) + 2. Is w + (-2 - (-300)\/3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/33003 and 157\/66006?\nAnswer: 66006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -89 - -107. Is z > 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*m = -d + 166, -d + 83 = -3*m. Suppose 3*t + 12 = 0, 6*r - 3*r - 5*t = d. Suppose 3*n - 9 = r. What is the greatest common divisor of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + -14. Let s be (d\/(-8))\/(6\/16). Solve -l - p = -s, 17 = 4*l + p + 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (612\/108)\/(-6*(-5)\/90)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1\/(x*x**5))\/(((x\/x**0)\/x)\/x**4))\/(((x\/(x\/x**(1\/4)))\/(x*x*(x*x**3)\/x*x))\/((x**(-1)*x)\/x)**47) assuming x is positive.\nAnswer: x**(-169\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 1 (c) -1\/5 (d) 0.5 (e) 187 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i - 16. Let z be c(-6). Let p = 11 - z. Is 129 - (p - 1\/1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h + 1. Suppose 13*u = 8*u - 25. Let m(b) = -13*b - 3. Let a(i) = u*j(i) - m(i). What is the tens digit of a(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*s + t + 64, 50 = 4*s - 2*t. Let n be ((-2)\/(-4))\/((-1555)\/(-1560) - 1). Let f = -145 - n. Is f <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z**3 + z**2 + 14*z - 5. Let y(j) = 4*j**3 + 13*j - 5. Let p(x) = 5*a(x) - 6*y(x). What is the tens digit of p(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-23 + 14) - 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 17*y - 121. Let s be v(-23). Solve 5*b = -4*k + s, 5*k = -6*b + 4*b + 17 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 142 - 141.708. What is z rounded to two dps?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 72704 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (657\/3360)\/(-1*(-6)\/(-4)). Let w = g - 1\/80. Which is the nearest to -1\/3? (a) -1\/3 (b) 3\/5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46.987100445 + 0.012892555. Let g = -47 + n. Round g to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 + -33. Suppose -1241 = -3*b + p*l, 2*l + 2661 = 5*b + 616. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*(40016\/(-1107) + 36)?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*z = 4*g + 39, 4*g + 3*z = -33. Let c = 30 + g. Let p = 201 + -139. What is the remainder when p is divided by c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -34543704023117 and -0.2.\nAnswer: -34543704023117.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (8 - 7)) + 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 363852 and 216.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 351 and 7007.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1155)\/(-1170))\/(-77)*(52\/(-78))\/(1\/(-9))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 7*g + 6. Let j be b(-4). Let s = -3 - j. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -12*m**3 - m**2 + 1. Calculate n(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15852, -15855, -15858, -15861, -15864?\nAnswer: -15867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 greater than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 929561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 3, u: 5}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/12 - (-230765)\/20. Let h = 207757\/18 - n. Find the common denominator of h and 5\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111217 a multiple of 243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 9:38 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r + 1. Let x be g(-14). Suppose 5*q + x = 0, -4*j = -3*q - 229 + 88. Suppose -5*m = j - 93. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in thirty-four fifths of a microsecond?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*i - 88 = -88*i. Calculate the remainder when 835 is divided by i.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 14.8. Let p = n + -1.8. Which is the nearest to p? (a) 0 (b) 1\/4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -173*f. Let n(d) = 2*d**2 - 106. Determine j(n(p)).\nAnswer: -346*p**2 + 18338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -3. Let f(j) = j**2 + 7*j - 8. Let i be f(v). Calculate the greatest common divisor of i and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 405, 809, 1215, 1623?\nAnswer: 2033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-3) + (-131)\/(-3). Let h = -41 + d. Factor 14\/3*z - 4\/3 - 19\/3*z**h - 4\/3*z**4 + 25\/6*z**3 + 1\/6*z**5.\nAnswer: (z - 2)**3*(z - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5866519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10171 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.4646 - -5.47. Let r = t + -7.3854. What is r rounded to one decimal place?\nAnswer: -7.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*k + 2609605, 4*k + 25*m - 28*m - 2609615 = 0. What is k rounded to the nearest 10000?\nAnswer: 650000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -8. Let k = m + -7.9. What is the nearest to -2\/3 in 0.4, k, 5\/6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1*967)\/(-11*10\/(-330)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316547048 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 12\/6 - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -28 - 17. Suppose s = -6*v + 3*v. Is 0 + 0 - 1*v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605) + (sqrt(605)*-2 - sqrt(605))**2*-2 + sqrt(605).\nAnswer: -10890 + 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -38. Let n be 429\/6 + (-15)\/(-30). Calculate the greatest common divisor of n and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18142414?\nAnswer: 2, 9071207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 825453143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2974?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23056 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 36*t. Let u(q) = -q**2 + 659. Give u(j(i)).\nAnswer: -1296*i**2 + 659","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 411*y**2 + 2833*y + 4846. Give z(-404).\nAnswer: 2826","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 16\/9, -0.3, 1040, 4, -1, 3 in descending order.\nAnswer: 1040, 4, 3, 16\/9, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99984423 to the nearest integer?\nAnswer: 9999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1485*-110.1\nAnswer: -163498.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -252 and 0.26.\nAnswer: -65.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4747, 9496, 14245, 18994, 23743?\n\"Answer: 4749*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11684 or -11675?\nAnswer: -11675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -35*k + 36*k - 441, -4*k + 1839 = -3*p. What is the highest common factor of 855 and k?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 138 + 19*y - 138 - 6*y - y + 9*y + 0*y - 4*y + 2*y + (2*y - 2*y - 2*y)*(5 - 3 + 0).\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-116)\/120 + 5\/30. Which is greater: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/80 and 107\/208.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1158 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4015 - 3?\nAnswer: 4012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 29164282 at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -189*t - 79. Is s(-38) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2520426, -2520548, -2520752, -2521038, -2521406, -2521856?\n\"Answer: -41*a**2 + a - 2520386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -115*w + 216 - 432 + 215 + (-2*w + 0*w - w)*(3 + 2 - 3).\nAnswer: -121*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((97*i - 3474 + 3474)*(0*i + 0*i + 2*i) + i**2 - 2*i**2 - 2*i**2)*(4*i**3 - i**3 - 2*i**3).\nAnswer: 191*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Sort -128251, -2\/5, 2\/3, 0.04 in descending order.\nAnswer: 2\/3, 0.04, -2\/5, -128251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -41*k + 40*k. Is 1\/598 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -4 - (-8 + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 239439209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1626 = 91*k - 1262 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*i + 2*k = -5, i - k - 4 = 0. Let r(n) = -n**2 - 8*n - 6. Let v be r(-7). What is the tens digit of 146*(1 - v - i\/(-6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -11*y + 12. Let b(i) = -24*i + 26. Let r(h) = 6*b(h) - 13*q(h). Let t(a) = a + 0*a + 0*a. What is t(r(x))?\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3*x = -66, -33*b + 2*x - 84 = -39*b. Calculate the greatest common divisor of 375 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0011, 4\/9, -8, 0 in decreasing order.\nAnswer: 4\/9, 0.0011, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 10, k: 2}. Give prob of sequence kaaa.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3\/10 (b) 1\/4 (c) 0 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*o = -9*r + 10, 2*r + 3*o - 5 = 0. Let x be 75\/(-25) + 183\/(1\/r). Suppose -4*c + x + 196 = 5*z, -4*z = 5*c - 461. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - (-5 + 0)) + -12. Let x = 53 + o. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*b + 4 = -0*q, -5*q = 5*b. Let z(u) = 4*u**3 - 2*u**2 - 2*u - 1. What is z(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 + 2.4. Let m = -7 + w. Let y = -176\/5 + 35. Which is the nearest to 3? (a) y (b) m (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, 1.2, -2\/9, 2\/5?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -35*2\/(-10)*8. Suppose -d = k - 8*k. Let z = -19 - -33. Calculate the least common multiple of k and z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2 - 1 = 0. Suppose -3*l + 28 + 3 = -4*y, -2*l - 2 = m*y. Suppose -l*x = 15, -4*z - 3*x = -2*x - 233. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14, -8, -4, -2, -2, -4?\n\"Answer: -k**2 + 9*k - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 19*o**2 - 20*o + 2. Let c(p) = 28*p**2 - 30*p + 3. Determine 5*c(n) - 8*q(n).\nAnswer: -12*n**2 + 10*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2331 - -1?\nAnswer: -2330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 6*v - 1. Is 6 a factor of f(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14600 - -14601. What is the closest to y in -1, -0.13, 7?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.18, 4\/9, -2 in ascending order.\nAnswer: -2, -1.18, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 12:39 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from pppeepppeppppppp.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.086 + -0.085854. What is x rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21393832.\nAnswer: 2, 79, 33851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 977 - -0.4135.\nAnswer: 977.4135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -126516.859782 + 126517. What is g rounded to three dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 - 473120*c - 55960633600.\nAnswer: -(c + 236560)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/3)\/((-10)\/(-60)). Is 118 - (0 - r - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -46 in 3, -7, -0.3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8 - 2)\/(12\/18). Let g = x + 23. Suppose 4*z - 5*z = -g. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206395 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*i - 2*k, i - 3*i = 4*k - 24. Solve -z = 3*g, -z - 2*g = i*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8958663 minutes in hours?\nAnswer: 0.014931105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 8*s - 9. Let k be j(3). Solve -t - k = 4*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27860219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3153 + 0?\nAnswer: 3153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**5\/4 - 46*i**4 - 13057*i**3\/4 - 222591*i**2\/2 - 1819755*i - 11376450 = 0. Calculate i.\nAnswer: -53, -30, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11822.6 (b) 2\/85 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve -84*y - 134*y + 3706 = 0 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l - 9. Let y be p(-11). Solve -y*j + 3*f - 1 = 1, 2*f = -4*j - 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.2, 9\/23, 8 in increasing order.\nAnswer: -4.2, 9\/23, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - k + 1. Let t be ((-9)\/(18\/4))\/2. Let a(u) be the second derivative of u**4\/12 - u**3\/2 + u**2 + 22*u. What is t*a(p) + 3*h(p)?\nAnswer: 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2188*z - 73257 = -592*z + 277023 for z.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79 + 3062*q + 1619*q + 18 - 519*q.\nAnswer: 4162*q - 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2238846 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 25, 11 in increasing order.\nAnswer: -5, 11, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/61944 and 149\/696.\nAnswer: 61944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -15*w**2 + 13*w - 1. Let z(h) = -22*h**2 - h - 1. Calculate i(a) - 3*z(a).\nAnswer: 51*a**2 + 16*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5 - 26 = 0. Put 2, 0.4, -3\/4, n in increasing order.\nAnswer: n, -3\/4, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 121530*r**2 - 29531793*r + 729.\nAnswer: 3*(r - 243)*(40510*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by 3043.\nAnswer: -29\/3043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43815 - -24349.\nAnswer: 68164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-9))\/((-1)\/30). Suppose 5*o - 1106 = -3*m, 4*m = 5*o + 3*m - 1098. Calculate the greatest common factor of o and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + u. Suppose 0*b + 2 = b. Let x(g) = b*g**2 + g**2 + 0 + 1 + 3*g. Suppose -4*p - 5*k = -33, -4*p = 2*k - 0 - 18. Give p*x(t) - 5*j(t).\nAnswer: t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, d: 1, e: 3, k: 2, r: 6}. Give prob of sequence dree.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w - 2 + 2 + 1. Let z(u) = 1335*u**2 - 359*u**2 - 363*u**2 - 254*u**2 - 360*u**2. Calculate f(z(l)).\nAnswer: 3*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1360)\/459)\/40)\/((-3)\/54).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*(-5)\/(-125)*5*-60. Let m = 359\/6 + g. Sort -4\/3, -3\/5, m, -1.1 in decreasing order.\nAnswer: m, -3\/5, -1.1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 + (-38 - (29 - 13))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 160\/(-200)*(-5)\/14\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 935*r + 484. Let a(m) = -31*m - 16. Let c(w) = -121*a(w) - 4*h(w). Let y(z) = -38*z + 1. Give y(c(q)).\nAnswer: -418*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**3\/s*s)\/s)\/(((s*s*(s\/(s*s\/(s*s*s*s*s**(-12)*s)))\/s*s)\/s)\/s))**(-11\/4) assuming s is positive.\nAnswer: s**(-55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-12))\/(-11 - -10 - (-65)\/(-40))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -63 times -11\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 143758837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of 0*t - 1\/120*t**6 + 0*t**5 + 0*t**3 + 0 + t**2 - 1\/12*t**4. Find the second derivative of v(i) wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00570159649 rounded to six decimal places?\nAnswer: -0.005702","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(80)*-3 - sqrt(80) - sqrt(80))*4)\/(-3*(sqrt(360) + 4*sqrt(360))*1).\nAnswer: 8*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5916 and 783?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49220?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.6 - -2.5. What is the closest to -1 in 2, 3\/7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 6 + 1 = 0. Let a(d) = 5*d**2 + d - 3. Let v(f) = 9*f**2 + 3*f - 5. Give q*a(r) + 3*v(r).\nAnswer: 2*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7715.08m in micrometers?\nAnswer: 7715080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m + 5. Let p(d) = 1 - 295*d + 886*d - 301*d - 297*d. What is p(q(u))?\nAnswer: -28*u - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2\/9, 3, -1\/7, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -13*k + 3*k. Let m be (-3 - k\/1)*-1 + 3. Is 94*(-393)\/(-18) - 4\/m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p - 30 = 11*p. Suppose 2017 = 5*o + 4*f, o + 1990 = p*o - 5*f. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -j - 9. What are the prime factors of 12\/(0 - (-2)\/j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvvvrvrzrwwvz. Give prob of sequence vvz.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20433702 + 3?\nAnswer: -20433699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 436504 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*s - 24. Solve 0 = -2*x + 2*z + 8, -4*x + 2*z - 2 = s*z for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/14 - (-610)\/(-70) - 192\/32?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 822 and 937628?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48775650 by -108150.\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2674075, 2673851, 2673629, 2673409, 2673191, 2672975, 2672761?\n\"Answer: a**2 - 227*a + 2674301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21756 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.6 (b) -7 (c) 2\/31 (d) 0.2 (e) -3\/8 (f) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -4 + 2 + (3 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*t**2*u - 25*t**2 - 18*t*u + 2*t - u wrt t.\nAnswer: -24*u - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7580, 7556, 7478, 7316, 7040, 6620, 6026, 5228?\n\"Answer: -5*h**3 + 3*h**2 + 2*h + 7580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-228)\/(-304)*(-16)\/15.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xrx when three letters picked without replacement from xxtxtvrxvxrxvrtg?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-156))\/(-2)*-3\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/28 and 83\/966?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11025541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.422434077 to 4 decimal places.\nAnswer: -0.4224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*q - 4 - 2 = 0, -c = 3*q - 15. Let s be (-14)\/(-4) - (-6)\/(-12). Suppose -m = -63 - s. What is the highest common factor of c and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b - 5. Let h be v(5). Let z = h - 2. Which is greater: -1\/2 or z?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-18))\/(78\/(-9) + 8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -9*x**3 - 42*x**2 - 141*x + 18. Let h(a) = -a**3 - a + 3. Let y(g) = -b(g) + 6*h(g). Factor y(q).\nAnswer: 3*q*(q + 5)*(q + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q**2 - 5*q. Let c(g) = 25*g**2 + 21*g. Let a(b) = -4*c(b) - 18*u(b). Is 34 a factor of a(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*w + 1 - 165*w - 1.\nAnswer: -22*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8317, 16638, 24959, 33280, 41601?\n\"Answer: 8321*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -8*g**2 + 353*g + 1104. Give r(-3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {n: 3, p: 7}?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*g**2 + 67 - 67 - 574*g**2 - 991*g**2.\nAnswer: -1586*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in 1\/7, 64\/5, 17, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = m - 3*u, -2*m + 4*u = -8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 230*w + 177811 = 55161. What is the lowest common multiple of w and 4400?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**5\/5 - 39*b**4 - 12087*b**3\/5 - 230917*b**2\/5 = 0. Calculate b.\nAnswer: -79, -37, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37.976 + -38. What is k rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3196*a - 86286. What is y(27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 - 65*h**2 + 13 - 4*h**3 + 29677*h - 6 - 29708*h + 25.\nAnswer: -(h + 1)*(h + 32)*(2*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-6)*(10 - -23). Let h = -18 + l. Suppose -2*u - u + f + 5 = 0, h*u - f - 6 = 0. Calculate the greatest common factor of 9 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/6215 - -12213\/1348655. Let d = 209\/868 + i. Which is bigger: d or -15?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -187557?\nAnswer: 187559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 781*z. Let b(v) = -12*v + 98. What is a(b(q))?\nAnswer: -9372*q + 76538","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(4) + sqrt(4) - ((sqrt(44) - sqrt(176)) + sqrt(44))\/sqrt(11))\/(sqrt(14)\/(-5*sqrt(28)\/sqrt(4) + sqrt(7))).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -144.9 - -143.28. Round i to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*b. Suppose k + b*k = 0. Suppose k = -2*o - 2*o + 92. Solve 3*q - 3*g + o = -7*g, 3*g + 14 = q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -44. What is the greatest common factor of k and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**4\/8 + 3417*u**3\/8 + 261863*u**2\/4 - 199389*u + 133496 = 0 for u.\nAnswer: -3256, -164, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-22))\/p**(2\/73))\/((p\/((p\/(p*(p\/(p*p\/p**(-2\/55)))\/p*p*p))\/p))\/p**(-21)) assuming p is positive.\nAnswer: p**(-176624\/4015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17375793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -180 - -902. Let f = 1405 - j. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 7 = -5. Sort g, -6, 2, -1 in descending order.\nAnswer: 2, -1, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5)*y*y**(-4)\/y)**(8\/7)\/((y**(-5)\/y**5)\/((y\/y**(-3)*y*y*y*y)\/(y**0*y))) assuming y is positive.\nAnswer: y**(47\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 11633245?\nAnswer: 11633245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**2*g**2*k + 42*d**2*g + 2*d*g*k**2 - 3*g**2*k**2 + 7*g**2*k - g wrt g.\nAnswer: -2*d**2*k - 6*k**2 + 14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2 + 2)*(-2 + 5 + 1) + 1 + 1 - 1 + (1 - 2 - 1)*(0 + 4 - 2))*(0*v**2 + 0*v**2 + 5*v**2).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/1 + -1)*(37 - 38)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 13*a**3\/3 + 7*a - 217. Let i(k) = k**2 + 1. Determine -2*h(x) + 14*i(x).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1284.33 minus -1677993?\nAnswer: 1679277.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 86? (a) 3\/28 (b) 16\/11 (c) 3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24317, -24358, -24397, -24434, -24469, -24502?\nAnswer: -24533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/27 and -55\/28107.\nAnswer: 28107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 6*k - 9. Let n be d(0). Let c be (0 - 0 - 1)\/(1\/n). Solve -2*w + 0*i = -i + c, 0 = -w + 5*i for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1568?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from ffkkqtkntnqngkf?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3385*n**3*o**3 + 6686*n**3 - n**2*o**3 + 2*n**2*o**2 - 2023*n**2 - 927*o**2 wrt n.\nAnswer: 20310*o**3 + 40116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -212*b**2 + 1881276*b + 106488.\nAnswer: -4*(b - 8874)*(53*b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 108736733\/1044 - 104154. What is the common denominator of 35\/174 and p?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14230, -7, -3, 1 in decreasing order.\nAnswer: 1, -3, -7, -14230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**3 + 37*f**2 - f + f**3 + f.\nAnswer: -2*f**3 + 37*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-76)\/(-16) + 1\/4. Let k be 9\/1*(84\/18 - 4). Let w be 20\/3*k\/j. Solve -2*v = -6*c + 2*c - 12, -5*v = c - w for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*b**3 - 5*b - b**3 + 9*b**3 - 4*b**2 + 5*b**2 to the form u + r*b**2 + l*b**3 + g*b and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -165 + 168. Suppose 9*q - 8*q = -t*z + 86996, 0 = 3*q + 12. What is z rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 856?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 94231008?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - (8\/10)\/((-12)\/30). Solve c*a - 3 = 7*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(6 + (18 - 19) - 32\/6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 823 (base 14) to base 5\nAnswer: 22344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14380786.\nAnswer: 2, 7, 1027199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: 104244020 (base 6) to base 11\nAnswer: 107a40a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (1 - -10) - 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + n - 1. Let a = -2 - -3. Let h(m) = 4*m**2 - 5*m. Let s(p) = a*h(p) + 5*i(p). What is the derivative of s(x) wrt x?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 6. Suppose -8 = 3*z - 4*r, t*z - 5*r = -2*z - 11. Which is the third smallest value? (a) -2 (b) z (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232 (base 4) in base 3?\nAnswer: 11002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8958)\/147807 + (-431)\/(-33)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -13361017+-621377\nAnswer: -13982394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58599 - 295301101.\nAnswer: -295359700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 p when two letters picked without replacement from {y: 1, n: 1, p: 6, c: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4 - 6*d**3 + 3*d**2 + 20*d + 12.\nAnswer: -(d - 2)*(d + 1)**2*(d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -30085.21?\nAnswer: 12034.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 61852 = -5*y - 9839, -5*y = l - 12977. List the prime factors of l.\nAnswer: 2, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from exxxhhxh. What is prob of sequence xxe?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.12 - -0.2. Let a = -0.0799994 + s. What is a rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t + 46. Let j(l) = 5*l + 46. Let m(h) = 2*j(h) - 3*p(h). What is the smallest common multiple of 9 and m(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*n - 28. Suppose 3*o + 4 + n = 5*a, -3*a = -5*o + 8. Let h = -0.09 + 5.09. Put 2\/11, h, o in descending order.\nAnswer: h, o, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4209.794 millennia to months.\nAnswer: 50517528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 272 (base 11) to base 3.\nAnswer: 102220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) - sqrt(5))*-3*2.\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - 6*g + 57, 297*w - 293*w - 44 = -4*g for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3 - 2 = 0, -5*l = 2*z - 18. What is the third biggest value in 2\/3, -4, 3, l?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73757 + 295025\/4. Let t = -1 + 12. Sort i, t, -1\/7 in increasing order.\nAnswer: i, -1\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/41 (b) 4 (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -157 - -164. Which is the nearest to -2? (a) 0 (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - w**2 + 14. Let c be i(0). Let m = c + -8. Solve m*q - 2*q + 4 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2513*o**5 - 31*o**4 - o**3 + 961380*o?\nAnswer: 50260*o**3 - 372*o**2 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.04672 millilitres to litres.\nAnswer: 0.03204672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, l: 1, j: 4, k: 2}. Give prob of sequence jl.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -112 + 345*p**2 + 210 - 37*p**5 - 98 wrt p?\nAnswer: -2220*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/5 - 32\/80. Suppose -l + 12 = -0*k + 2*k, k + 2*l - 9 = r. Suppose 43 = 3*z + k*u, z - u = 14 - 5. Calculate the remainder when 53 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*u**2 + 40*u**2 - 22*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 2, 1\/6, -1\/2, -4, 56\/11, 0.17?\nAnswer: 56\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -307 - -309. Solve 0*m - 1\/8*m**c + 1\/8 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125370 a multiple of 315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 12 (b) 8 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 994321 is divided by 58485.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 83 = n, -5*n - p + 177 - 178 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.383 to 0 decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3479855?\nAnswer: 5, 29, 103, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*c + 189*c - 85*c.\nAnswer: 26*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 v when four letters picked without replacement from {o: 3, v: 6, g: 4}.\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (616\/(-1155))\/(74\/15)\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + -13 + 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + (sqrt(2) + sqrt(50))*-6 - (sqrt(2) + sqrt(2) + 3 + sqrt(8)) - -4*-2*(3*(sqrt(2) + 1) - sqrt(2))) + 1)**2.\nAnswer: 2860*sqrt(2) + 6726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 139*w + 1074 + 594 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 0*i + 7*i**2 + 0*i - 2*i**2. Let y(f) = 2*f**2. Let g(t) = -t**3 - 6*t**2 - t + 4. Let k be g(-6). Let q = k + -2. Give q*y(n) - 3*d(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i - 42. Let g be y(-21). Let u(x) be the third derivative of 2*x**2 + 0*x + 0 - 1\/24*x**4 + g*x**3. Let d(w) = 9*w**2. Determine d(u(a)).\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*u = 4*l + 102*u - 6, 0 = 2*l - 2*u - 12. Solve t - 6*t - l*d - 41 = 0, -3*d - 17 = t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1832\/15 + -122. Let l be (2\/(-5))\/(8\/(-15)). Let y = -316 + 633\/2. What is the nearest to -0.2 in y, r, l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -5756?\nAnswer: 17268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 10*f - 43. Let w be j(15). Suppose 4*m + 8 = 2*m, w = 2*s + 5*m. Is -2 at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 229724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(6\/4) + (-16172)\/27057\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 27 = -2*k. Let t(d) = -d - 13. Let w be t(k). Let p(o) = o**3 + 5*o**2 + 2*o + 6. List the prime factors of p(w).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*p - 470 = 0. Let q = -63 - p. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -22*u**2 - 3221*u - 541. Calculate a(-146).\nAnswer: 773","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**5 - 74*l**4 - 282*l**3 - 442*l**2 - 314*l - 84 = 0. What is l?\nAnswer: -14, -3\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/10*(-6 - 1626\/(-108)) and 91\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 0*c**3 + 7 - c**3 - 33*c + 32*c + 0*c**3 + 7*c**2. Determine a(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + d - 3. Let c(y) = y + 1. Let n(u) = c(u) - v(u). Let l = -5 + 8. What is n(l)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - h + 4810 = 0, -68*t + h + 14430 = -65*t. What is the thousands digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 290 - 289.999999584. What is c rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5566 and 15?\nAnswer: 83490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/71, -154, 16?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 1. Suppose 0 = 4*c + 4. Let u be r(c). Let i = 1406 + -1404. Solve -2*o + u*o = i*d - 2, 4*d - 2*o - 22 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -3*c - t - 38, -t = c + 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1826*c**2 + 4942?\nAnswer: -3652*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -664*t**3 + 87*t**3 - 517*t**3.\nAnswer: -1094*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3. Let w(b) = 7. Let d(a) = 2*o(a) + w(a). Let n(f) = f**2 + 11. Let l(y) = -22*d(y) + 2*n(y). Let j(k) = 89*k. Determine j(l(m)).\nAnswer: 178*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -63721.6705 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v - 16*v = 6. Suppose 5*s - 2*q + 41 = 0, -v*q + 8 = s - q. Let p(j) = -2*j - 5. Give p(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2)*(-81*j + 18*j - 86*j)*(12 - 18 + 27) to m*j + o and give m.\nAnswer: -6258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*a = -18, -4*n + a = -3*n - 5. Let v be (3 + 30)\/3*2. Let i = -19 + v. Is n greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18998, 18996, 18994?\nAnswer: 18992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1000768*u + 1000768*u - 3*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**4\/11 + 1270*d**3\/11 - 283926*d**2\/11 + 10985354*d\/11 - 10702700\/11 = 0.\nAnswer: -817, 1, 50, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1120 (base 3) to base 11.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7739783, -7739780, -7739777, -7739774?\nAnswer: -7739771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-3) - 4\/(-12). Find the third derivative of 36*r**d - 108*r**2 + 29*r**3 + 47*r**2 wrt r.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 126?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 2. Let j = -2117 - -2121. Sort -4, -5\/3, j, a in descending order.\nAnswer: j, -5\/3, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -181 + 26. Let w = t + 280. Is 20 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 659 - 662. Let y(h) = -50*h**3 + 7*h**2 + 11*h - 3. What is the thousands digit of y(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3698*a**2*m**4 - 2*a**2*m**3 + 10*a**2*m - 2*a**2 + a + 14*m**2 wrt m?\nAnswer: 88752*a**2*m - 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -52 divided by 215\nAnswer: -52\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.089 + 9.789. Round x to 0 decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 + -34. Let i = h + -10. Find k, given that 6*k**2 + 2*k**2 - 2*k**2 - 10*k**5 + 6*k**4 + 24*k**i + 2*k**2 = 0.\nAnswer: -1, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1241 - -1270. Solve -2*g = -a + 7, -5*g - 3*a + 6 - u = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 2. Let u be 30*(2 + s) + -2. Let w = -1426 - -1433. Calculate the highest common factor of u and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -9 + 13 - (2 - 1). Let y be i\/(105\/(-20)) - 90\/14. Let o(g) = -g**3 - 6*g**2 + 7*g - 5. What is o(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(162) - (-1 + sqrt(162))) + sqrt(162))*3 - (sqrt(162)*-1 + -5))*-2 - (4 + -4 + 4 + sqrt(162) + 5 + sqrt(162)))**2.\nAnswer: 4500*sqrt(2) + 16825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15333 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**7\/105 - i**4\/24 - 3*i**2\/2 + 3*i. Let f(w) be the first derivative of x(w). Find the second derivative of f(g) wrt g.\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/6*3*2. Suppose -4*t + 3*t + 31 = -5*z, k*t - z = 17. Let n(v) = -v**2 + 8*v - 2. Does 5 divide n(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -6. Let y = i + -5. Let m = -3 + y. Put 0.2, 0.1, m in ascending order.\nAnswer: m, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.013+-68145\nAnswer: -68145.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37 by 312.\nAnswer: -37\/312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(3\/(-4)*(-192)\/(-360))*2\/35?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(7))**2 + sqrt(7) + 5 + 2 + 1 + sqrt(7).\nAnswer: 2*sqrt(7) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23713.436 - -23593. Let h = 120 + y. What is h rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6214 - 6214.004403. What is z rounded to four dps?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -348798*j**3 - 19*j**2 - 35*j + 75 wrt j?\nAnswer: -2092788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 5*r**2 + 6*r + 2. Let q be d(6). Suppose -q*j - 5 = -4*o - j, -15 = 3*j. Solve -3*n - n + 12 = o for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4123, -8239, -12355, -16471, -20587?\nAnswer: -24703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 114155483 a multiple of 1455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 308 and 264?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31283278 divided by 23.\nAnswer: -31283278\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((-2)\/(-9)) + -2. Let l(n) = n**2 + 2*n - 4. Let b(z) = -2*z**2 - 4*z + 7. Determine c*l(s) + 4*b(s).\nAnswer: -s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 411460 and 264510?\nAnswer: 3703140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h - 2. Let n be g(2). Let v be (-1*2\/n)\/1. Let z = 8\/3 + -2. Put v, z, -0.3 in descending order.\nAnswer: z, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 + 3 + 1)*(-1 - 5*l**2 + 3*l**2 - 2*l**2)*(47*l + 24*l - 53*l) to the form g*l**2 + w*l**3 + m + x*l and give w.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -2 - (482 + -482).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47.61 - 48. Let k = x + -0.11. Which is the nearest to -1? (a) -3 (b) k (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 + 40. Let n(j) be the third derivative of 0 - j**t + 1\/60*j**5 + 0*j**4 + 0*j + 1\/6*j**3. Let k(v) = 6*v**2 + v + 6. Give k(d) - 5*n(d).\nAnswer: d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.574 and 17551947.\nAnswer: 17551943.426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/362 and -97\/16946?\nAnswer: 3067226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002864124217 rounded to 6 dps?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2 - k - 1. Let o(j) = 4*j**4 - 3*j**3 - j**2 + 5*j + 3. Let g(u) = -2*b(u) - o(u). Factor g(c).\nAnswer: -(c - 1)**2*(c + 1)*(4*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.16 and -17.1.\nAnswer: -2.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1100) + 5 + -4 - (3 + sqrt(396)*2 + sqrt(396)*-2*1)**2.\nAnswer: -6 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1699839 greater than or equal to 1699839?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13091102 or 13091103?\nAnswer: 13091103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 1:08 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.39 - -0.19. Let k = -8 - -10.8. Let v = k - x. What is the biggest value in 0, v, -6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.22 + 6.08. Let g = s + -7. Let n be (20 - 13) + (-3 - 1). Which is the biggest value? (a) -1\/7 (b) g (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32032235*f + 32032208*f + 297 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(1*-1))\/(7676\/(-28785))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13144 + -183941\/14. Find the common denominator of -13\/20 and v.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 12 = 3*f + 2*f, -f + o + 4 = 0. Suppose -t + 5*n = -3*t - 23, f*n = -5*t - 5. Calculate the remainder when t is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 6*t = -3*v - 275, v = 4*t - 525. Let w = t - 127. Solve c - w*c - 2*f = 0, -4 = -4*c - 3*f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -65 + 51 - (-3 - (-4 - -6))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 4*p = 19, 2*c - 15 = -p - 13 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -675933, -675930, -675927, -675924, -675921?\nAnswer: -675918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 28 = 4*k, 8*m - 3*m = 3*k + 26. Let o = 0.3 - -0.2. Which is the second smallest value? (a) o (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/9 - 8478602*n**2\/9 - 2995280241200*n\/3 - 998425805000.\nAnswer: -2*(n + 1)*(n + 2119650)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-120)\/1260)\/((-2)\/(-3)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(95) - -2*sqrt(95)) + sqrt(95))\/(sqrt(40)\/(sqrt(8) - -2*sqrt(8)) - sqrt(5)).\nAnswer: 33*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 18086.\nAnswer: 1\/9043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*s - 332 = -76 - 1389 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 0*q - 18. Suppose 4*d + 4*r = -1504, 0 = 2*r - q*r + 16. Let a = -181 - d. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 21 = j + 5*b, -b = -5*j + 7. Find the first derivative of -139*n - 46 - 5*n**j + 143*n - 49 + 30 wrt n.\nAnswer: -10*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*k*k**(-9\/5)*k**25\/k assuming k is positive.\nAnswer: k**(126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyq when three letters picked without replacement from {x: 4, q: 3, y: 5, u: 3, k: 1, a: 1}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -15 - 1 - 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.46 - 0.59. What is the second biggest value in -2, -1\/5, t, -1\/12?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 56? (a) 7 (b) -1\/13 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7182 (b) 1\/2 (c) 2\/5 (d) -1\/2 (e) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -393 + 593 + 328 + 512 + t in the form m*t + b and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 50 = -54. Let p = 101 + f. Is 17 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*x, 4*u + x - 8 = 5*x. Let l be 0 + (u - -56 - (5 + -3)). Let c = 142 - l. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30944878 - 30944746.99903. Let j = -131 + x. Round j to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -4) + -565 + 572\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*k + 169*k = 0. Solve -2*j - 2*u = -k - 6, 0 = -3*u for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 57 + 3 = k, -3*l - 3*k = 36. Let u be ((-51)\/(-2516))\/((-1)\/(32\/l)). Which is greater: u or -1\/16?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*o**3*x**6 + 2*o**3 - o*x + 298*x**3 + 192*x**2 wrt x.\nAnswer: -360*o**3*x**3 + 1788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*f - 2821 - 1364. Calculate the greatest common factor of f and 1200.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -4*v - 2*p - 4, 3*v - 4*p = -28 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + u - 8. Let o(w) = -159*w**2 - 7*w + 68. What is -o(m) - 5*y(m)?\nAnswer: 164*m**2 + 2*m - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 - 41*u + 28. Let i be r(20). Solve -163 + i = -31*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**4\/5 + 13*q**3\/5 + 13*q**2 + 51*q\/5 = 0 for q.\nAnswer: -3, -1, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-7 - -19))\/(-4 - -8).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/21 + 4178*x\/21 - 6980\/7.\nAnswer: 2*(x - 5)*(x + 2094)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t. Let o(q) = 357 - 353 + 119*q**2 + 39*q**2. Calculate o(f(s)).\nAnswer: 158*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and 0.0465944.\nAnswer: -0.000931888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 15*j - 15. Calculate z(-12).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28915 - -33970. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-48)\/(-9))\/((-8)\/(-252)). Calculate the highest common factor of 21 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 5241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/9 (b) 1 (c) -0.7 (d) 24 (e) -3 (f) 39\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 + -58. Let i(p) = -p**2 + 5*p + 3. Let m(w) = -4*w - 2. Determine y*m(h) + 2*i(h).\nAnswer: -2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (3 + -2)) + (251 - 242).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)*1*-6 + 0 + -1 + sqrt(567) + -1 + 0 + -2 + -1)**2 + -1.\nAnswer: 450*sqrt(7) + 14199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/3 + 8 - 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/8 of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15441509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -6. Let j be (q\/10)\/(1\/(-10)). Let f(v) = j*v - 3*v + v. Let z(c) = -c**2. Give z(f(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 39 in 2, 121, -2\/9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 12) to base 7\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2 + 144*k + 36040. What is t(-103)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6949119 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*x - 2046512 = -89166512. Round x to the nearest ten thousand.\nAnswer: 1090000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 + 5*l - 113 + 55.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 (base 14) in base 13?\nAnswer: 27c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 187145926 to the power of 1\/4, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 divided by 35240.\nAnswer: 3\/1762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -6. Let h = 0.9999997 - g. What is h rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*r - 2 + 4*r**4 - r**3 + 0*r**3 + 2*r**3 - 2*r**4 as x + y*r**2 + q*r**4 + g*r**3 + i*r and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/11)*n)\/(n\/(n*n*n**(-21\/4)*n)))\/(n**(2\/47))**(-35) assuming n is positive.\nAnswer: n**(-1761\/2068)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -11.6. Let r = n - 0.6. What is the biggest value in r, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*sqrt(2) + sqrt(18) + -1.\nAnswer: -5 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 781 and 497?\nAnswer: 5467","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen fifths of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 3*j + 7, 5*s + 3*j - 25 = 4*j. Suppose 2*l = -s*c + 366, 2*c = -2*c + 20. Let a = -120 + l. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jyjy when four letters picked without replacement from {j: 7, y: 6}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 3*z + 633, -5*z = -2*n + 36 + 589. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2. Let u(j) = j**3 + 5*j**2 - 2*j. Let s = 21 + -15. Let k = -7 + s. Give k*u(x) - 3*h(x).\nAnswer: -x**3 - 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1243 - 11314?\nAnswer: -13112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -891 = 56*l + 5 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15436 is divided by 249.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*m - 9 + 5 + 235 = 0 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -377\/955 - 1\/191. Let l(b) = -b**2 - 6*b + 2. Let w be l(-6). Let j be (-2)\/(1\/((-1)\/w)). Is j bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -q - 3950, 5*q = -90*m + 89*m + 998. What is the highest common factor of 104 and m?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -2.2. Let p = -0.1 + j. Let m = 0.3 + -0.5. Which is the biggest value? (a) p (b) 1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*m**2 - 68*m**2 + 48*m**2 + 445*m)*(1 + 0 + 0).\nAnswer: 3*m**2 + 445*m","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -27, 45, 117?\n\"Answer: 72*u - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-52)\/(-10))\/(26740\/(-66850))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 11, -2*j + 66 - 44 = 4*y. Let s = 7 - 11. Put 9, y, -13, s in descending order.\nAnswer: 9, y, s, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -19 and -8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 - (-32 - -37 - -126) - 16?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 11*i - 194. Calculate l(14).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-42) + (-7)\/(-21).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 709725 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*z**2 + 406*z**2 + 494*z**2 + 143*z**2 + 200*z**2.\nAnswer: 1359*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6228 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - c - 5 = 0, 5*w - 3*c = -3 + 20 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 1. Let g(n) = -4*n**2 - 1. Let i(h) = -g(h) - p(h). Let c(d) = -8*d + 3. Give c(i(j)).\nAnswer: -24*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 144063897 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**7\/l))\/(l**0*l))\/(l**3*(l\/((l\/((l\/(l*l**(-2\/11)))\/l*l))\/l*l*l))\/l) assuming l is positive.\nAnswer: l**(-79\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2084 = 3*a - 7*a + 1041 + 1043 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 48 + -70 - (-33 + 4)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6431 + 6424. Put n, -2, 7 in decreasing order.\nAnswer: 7, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -10*a. Calculate s(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24701202.5999024 - -24701002.6. Let z = s - -200. Round z to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92435 = -2566*u - 19162 - 80853 for u.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 162 and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -17*q**2 + 15*q + 614. Let s(a) = 25*a**2 - 21*a - 920. Calculate 7*l(d) + 5*s(d).\nAnswer: 6*d**2 - 302","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4.1, -2\/5, -4 in decreasing order.\nAnswer: 1, -2\/5, -4, -4.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 75667269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.058 (b) 12 (c) 0.1 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 10, p: 9}. What is prob of sequence pypy?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006316006352 rounded to 5 decimal places?\nAnswer: -0.00632","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-6)\/(-28))*42\/28?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (1 + 4)) + (29 - (11 - -4)) + -8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c - 5. Let t(d) = 3 + 2 + 0 + d - 4. Calculate 5*t(s) + v(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -806676*d**2*k**3*s - 2*d**2*k*s - 425*d**2*s - 5*d*k**3*s - d*k**3 - 88*d*s - 14*k**2 wrt k.\nAnswer: -4840056*d**2*s - 30*d*s - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71536988?\nAnswer: 2, 17884247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - -7) + 6*(-2)\/3. Let t be (-61)\/(-2) + (-1)\/2. Suppose 3*z = 3*r + t, -2*z + 3*r = q*r + 5. Solve 5*o + 30 = -4*c, -z*o - 2 - 13 = c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/49, 0.2, -2\/7, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 178\/(-2225) + 3784\/(-200)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -0*p - 3*k - 52, -3*p - 2*k = -16. Let c be (-2)\/p + (-9)\/(-36). Let c - 1\/4*h + 1\/4*h**2 = 0. Calculate h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1201040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -92*a**3*f*w**3 - 3*a**3*w**3 + 2*a**2*f - 25*a**2*w**3 + 4*a**2 wrt a.\nAnswer: -552*f*w**3 - 18*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3037293243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/656)\/((-20)\/16)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -72\/665 and 67\/280.\nAnswer: 5320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-9\/4)*d*d)**(-2) assuming d is positive.\nAnswer: sqrt(d)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(810\/(-62216))*30\/4. Let p = -2880 - g. Find the common denominator of -20\/39 and p.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 5*i**2 - 3*i - 1. Let r be s(-4). Let q(d) = 4*d**2 - 4*d + 6. Let b(f) = -f**2 - 2. Let c(h) = 5*b(h) + q(h). Give c(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 5:22 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1220.9085 - 1222. Let g = -9.9 - -11. Let v = g + q. What is v rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19385 or 29922?\nAnswer: 19385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*v + 4*d + 20, -2*v = 2*d - 26. Let h be -2*(v + -4)\/(-2). Suppose 45 = 5*s + 3*w, -5*s + 53 = h*w + 13. Solve s = o - 4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105 + 91 + -2 - (-105 + 2)\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -469*c + 2380 = -609*c for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4))\/((-8)\/(16\/(-1))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1898*t - 23541 = 32787 + 63246 for t.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010100100110010100001110 - 0?\nAnswer: 110010100100110010100001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3715.01 rounded to the nearest one hundred?\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - l = -1841. Suppose 3*o - l - 43 = 0. List the prime factors of o.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 247, -9858, -2\/9 in descending order.\nAnswer: 247, -2\/9, -3, -9858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99974 is divided by 152?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 4. Suppose n + 3*n + 16 = y, -n = 4*l - 20. Let u be (-3)\/(3 - 2 - 2). Solve u*o + l = -6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -13.2. Let z = -104 + 938\/9. Suppose 2*m + 15 = -3*m. Put m, z, u in decreasing order.\nAnswer: z, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -v**4\/6 - v**3 + v**2. Suppose -4*j - 5*t - 24 = -0*j, 0 = t. List the prime factors of b(j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-2) + 434\/(-112)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 35 = -5*d, -4*w + 723*d - 727*d = -32. Solve -4*t + 2*a = -18, 3 = 80*t - 78*t + w*a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 17. Suppose -2*g + g = -z. Suppose 0*h - g*h + 836 = 0. What is the greatest common factor of h and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 608428 to the nearest integer?\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 8*g**2 + 6*g - 30. What is the remainder when 113 is divided by n(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.0909 times 4.16?\nAnswer: 66.938144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 96 - 70. What is the remainder when j is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s + 10 = 11*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -4*b - 1. Let i be w(-1). Let y(q) = -q**3 - q**2 + 5*q - 5. Let u be y(i). Let k = -12 - u. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v - 10. Let c(x) = 1. Let d(u) = -2*c(u) - t(u). Is d(6) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101100010 (base 2) to base 3.\nAnswer: -111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/4 + 33303*u**2\/4 - 66599*u\/4 - 99903\/4.\nAnswer: -(u - 33301)*(u - 3)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zvvjvvvvvvvvvv. What is prob of picking 1 j, 2 v, and 1 z?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 89\/2260 (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f + 94. Let h(b) = -2*b - 46. Let g(w) = -13*h(w) - 6*u(w). Let p be g(-17). Solve p = 5*n + 2 + 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 19.133, 5, 6, -0.8, -0.06, -1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 312\/9 - 3\/(-9) and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2220*i + 150 = -2205*i for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 10*o - 1. Let v = -3 - -2. What is p(v)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**2 + f + 1. Let j be z(-1). Let q(s) be the second derivative of -s**4\/12 - s**3\/2 - 3*s**2\/2 + s. Calculate q(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-130)\/(-52))\/(5\/4). Suppose p - r*p = -0*p. Let k = -5 - -1. Which is the nearest to 0.1? (a) -3 (b) p (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9471\/20 - 1834\/5. Let r = 107 - z. Which is the fourth smallest value? (a) r (b) 5 (c) 4\/9 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -10 (b) -1\/172 (c) 4 (d) -1317\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(2\/21))\/((x**(-4)*x)\/x)*(x\/(x\/x**(1\/9)))**(4\/7))**28 assuming x is positive.\nAnswer: x**(1300\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -218953 and 2019?\nAnswer: 220972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*y + 116*y - 3*l + 9 = 0, 2*l - 21 = -5*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 + h**3 - 3*h**4)*(1 + h + 1 - 7).\nAnswer: -3*h**5 + 15*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 580059 is divided by 145011.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, y: 2}. Give prob of picking 2 x.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/7364 and -17\/36820.\nAnswer: 36820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -5691?\nAnswer: -10\/5691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 541 is divided by 91?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1233\/1251 + 1\/(-1). Let j = v + -127\/834. Let o be 3*(-1)\/(6\/4). Put o, -0.1, j in increasing order.\nAnswer: o, j, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x - 15. Let p be m(6). Solve -3*t + 5*l + 23 = 0, -5*t - p*l - 2 = 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**2 - 4*h + 278*h**3 + 2*h**2 + 3 + 4*h - 122*h**3 to x*h**3 + j + f*h + r*h**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 6 = 4*y, -3*y + 4 = o + 2. Suppose 2*u = -o*t + 14, -u - 2*u = 0. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29465852, -117863410, -265192674, -471453644?\nAnswer: -736646320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4765 - -4767. Which is the biggest value? (a) i (b) -5 (c) 0.1305 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/22 + 39\/33\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34550 and 34550.\nAnswer: 34550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**5 - 2*b**5 - 3*b**5 - b**2 + b**2 - 2*b**5 + (-2*b**3 - b**3 + 0*b**3)*(-3*b**2 + 5*b**2 - b**2).\nAnswer: -9*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -155 or 19274?\nAnswer: 19274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-7 - -23) - 17.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606024 is divided by 4422?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 1663 = 4*b, 114*b = 115*b - 3*a - 437. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -1 (c) -1\/51 (d) 45 (e) 30\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 271*b - 260*b. Suppose 4*z = -3*p + 7*p, 0 = -3*p + 5*z - b. Factor -2\/3*r**p + 0*r**2 + 0 + 2\/3*r.\nAnswer: -2*r*(r - 1)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(256)*2))**2.\nAnswer: 3\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 21*w**2 - 11*w + 11. Let y be l(1). Let z(u) = -2*u + 43. Let b be z(y). Sort 2, b, 10.\nAnswer: b, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 27\/1257181?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 94*x**2 - 19*x**2 + 6986 - 6985 as a*x + y*x**2 + m and give y.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*x - 0. Let m(a) = a**2 - 8*a + 3. Let p be m(x). List the prime factors of p\/2*(-27)\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 3:39 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/2349 and (-28 - (-1579916)\/56160) + 2\/5.\nAnswer: 18792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 287 - 414.5. Let y = z + 128. Sort y, 0.4, -0.2, -47 in decreasing order.\nAnswer: y, 0.4, -0.2, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 5*c - 12 = 0, -o + 3*c - 14*c = -7*c + 3 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4182 + 4223 - (-1 - 0)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-12)\/(37\/(-6) - -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 10103?\nAnswer: -10103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + f + 11. Let w be k(-4). Suppose 3*z - 5*h = 3 - w, 0 = 4*z - h + 4. Suppose z = -r + 270 - 55. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14 + 10)\/(-1*2). Find the third derivative of -84*u**m + 39*u**2 - 14*u**3 + 226*u**3 wrt u.\nAnswer: 1272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3778*b - 7586*b + 186592 = 0 for b.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5646)\/63 + 102\/357. Is -90 greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a centimeter in millimeters?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2036 + 5977. Suppose -5*d + l - 786 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23830.00010513 - 23830. What is a rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352378601.\nAnswer: 17, 20728153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - t + 7, -22*w + t - 1 = -26*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3190531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 136*f**3 - 37 wrt f?\nAnswer: 408*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 2*g**2 + g + 4. Let f = -33 + 31. Let o be c(f). Solve -3*j + 0*w - w = o, 0 = 5*w - 20 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (198\/(-15))\/((4\/390)\/(-13*(-18)\/3042)).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**3\/3 + h**2\/2 + 2*h. Calculate the least common multiple of 5 and z(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -13. Let q = x - -26. Let y(j) = 13*j**2 - j + 1. Let n be y(1). What is the highest common factor of n and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.023376253 - 5.\nAnswer: -5.023376253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + n. Suppose -784 = -163*x - 784. Solve x*g - 5*g - 15 = n for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 9:59 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 5 = 4*t - 27, -165*p + 8 = -168*p - 0*t + t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/6221 (b) 1\/5 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = -17*c - 32. Is -0.1 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(832)*1 + sqrt(832))*4 + (-2*sqrt(832)*5 - sqrt(832)) + 2.\nAnswer: -24*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(21\/4))\/(r*r*r**25\/r) assuming r is positive.\nAnswer: r**(-75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 2*l - 3*l)*(10*l**2 - 15*l + 15*l)*(3 - 6 + 1)*(2 - 5 + 0).\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -7*l**3 - l**2 - l - 2. Is o(-2) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 78. Let v be j(-9). Factor 35*s**4 + 5*s**5 + 134 - 276 + 142 + 30*s**v.\nAnswer: 5*s**3*(s + 1)*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**3 - 3*a**3 - 2*a**3.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 10*p + 4*p**3 - 2*p + 2*p**3 - 1 - 5*p**3 + 12*p**2. Is h(-11) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1273991 and 62692.\nAnswer: 2239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 8459745\nAnswer: 8459745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 75285.35km in millimeters?\nAnswer: 75285350000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 3211968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2550388655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) 0.3 (c) -3\/8 (d) -1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13910, -13915, -13944, -14009, -14122, -14295?\nAnswer: -14540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 11:27 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11880765 is divided by 306?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 288 by 288.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -19*k + 46*k - 2*k**2 - 7*k - 24*k + k**3 + 1. Give a(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 12 + 6 = 3*c, -4*c = 2*n - 22 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 41816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/4)\/((-225)\/600). Suppose t = i*t - 1823. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1547.263 milligrams to micrograms.\nAnswer: 1547263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21794?\nAnswer: 2, 17, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 3*k + 49, -249*s + 244*s + 44 = -2*k. Solve o + s = 2*j, -40 = 3*o - 4*j - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 divided by 279?\nAnswer: -68\/279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1861 + 552 - 6736*m - 1066 with respect to m.\nAnswer: -6736","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/16 of a century in months?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -224.83 + 227. Let u = -0.17 + r. Sort u, 0.4, -0.2 in descending order.\nAnswer: u, 0.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - (-22 + -3 + 12) - (-2 - -1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(6) + 2*sqrt(6))*5)\/sqrt(2).\nAnswer: 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -458 = o + 2*g, -479 + 30 = o + 5*g. Let t = o + 478. What is the remainder when 81 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 3*o - 2*o - 1, 4*o - 10 = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 11, i: 5}. Give prob of picking 1 y and 1 i.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeklekekkekele. What is prob of sequence ekl?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 10 = 12. Which is the second biggest value? (a) 2\/15 (b) -2 (c) y (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187 = -5*f + 16*f. Solve 5*a + f - 22 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 369.3283?\nAnswer: 2585.2981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/(-56) - (-1638)\/147.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k - 186*k**2 + 17*k - 14*k.\nAnswer: -186*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 11:42 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from oorrrrrrzrroro.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -2*j + 33. Let w(b) = 21*b**3 - b**2 + 2*b - 2. Calculate the smallest common multiple of j and w(2).\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -4*p + 9. Let n(t) = -t**3 - 6*t**2 - 4*t - 8. What are the prime factors of n(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2014 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2. Suppose 2*t = -5 + 1, 0 = -4*z + t + 18. Let p(f) be the third derivative of 0 + 0*f**z - 1\/30*f**5 + 0*f + 0*f**3 + 2*f**2. Determine p(l(u)).\nAnswer: -2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 126*u - 19. Let l(g) = -2*g - 2. What is -i(k) + 3*l(k)?\nAnswer: -132*k + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 436 and 336483.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 710\/16847?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s = 4*o + 12*s + 29, -o - 26 = -5*s. Put -2, -4, 0, o, 6 in ascending order.\nAnswer: -4, -2, o, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -537 + 536. Let h = 0.8 - -0.2. Let y = 0 + h. What is the closest to y in -4, w, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 + 3*o**2 + o**5)*(18 + 24 - 69 + 9).\nAnswer: -18*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-6))\/(124\/(-465)))\/(10\/4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243*k - 26753593 - 50883786 + 24947932 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 1768529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 495 and 9108?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -2*g + 148, -1346*g + 1345*g = -10*u - 48 - 26 for g.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dgdigdjdidddggijdgd. Give prob of picking 1 j and 1 g.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 2\/41, -7, 3?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iivi when four letters picked without replacement from vmvvivvvmivi?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 6*y**2 - 395*y. Let q(g) = -14*g**2 + 793*g. What is 2*q(p) + 5*s(p)?\nAnswer: 2*p**2 - 389*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8596b4 - 5?\nAnswer: 8596af","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 11*v**2 + 15*v + 24. What is b(-11)?\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, o: 3}. Give prob of picking 2 v.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46*u**4*v - 13*u**3*v + u**2*v - 20*u*v - u - 5 wrt u?\nAnswer: 552*u**2*v - 78*u*v + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/1 - (18 + (-1 - 119\/17))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25182 + 12605 + 2*s**3 + 12597.\nAnswer: 2*s**3 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43628115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5723620829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*a - 4*b - 8, 2*a = -3*b + 1. Let r = 34 + 39. Suppose 2*h = -3*c - a + 34, 5*h + 4*c = r. Calculate the remainder when h is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-679)\/770 - 4\/(-22). Let c be ((-2)\/20)\/(2\/(-4)). Let k = p + c. Is k <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 105.044 and -6346591209?\nAnswer: 6346591314.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 390*p - 60*p + 172*p - 1 + 1 to the form r + f*p and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4886, 14022, 23158?\nAnswer: 32294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j*j**(-9))*j*j\/(j\/j**8)*j**(-17)\/j**(-6) assuming j is positive.\nAnswer: j**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e41 + 2?\nAnswer: -e3f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -28.5. Let o = -0.915 + -0.085. Which is the nearest to o? (a) k (b) -0.5 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pcel when four letters picked without replacement from elpcpplpp?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*h**2 - 1 + (0 + h**2 + 0)*(-2 - 14 - 2).\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17448, 69258, 155614, 276522, 431988?\nAnswer: 622018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38.4 + -8.6. Let u = -2582.4 - -2583. Which is smaller: n or u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -705550*j**2*x**2 + 562*j*x**2 - 191*j - 3*x**2 wrt j.\nAnswer: -1411100*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 10, d: 9}. What is prob of sequence zdzd?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 2 + (-2 - 7) + 14 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 6*v - 3. Let d = -8 - -4. Let x be g(d). Let o(b) = 0*b + 0*b - 7*b + x*b. Let c(r) = 4*r. What is o(c(w))?\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 370 = 10*o + 50. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*r**4 + 331*r**3 + 1078*r wrt r.\nAnswer: -36*r**2 + 1986*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.97 - -19625?\nAnswer: 19626.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007995815 rounded to five dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - 5*s = 4*i - 6, 18 = 2*i - 5*s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/8)\/((171\/(-24))\/(-19))*11?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/3 - 97*n**2\/3 - 494*n.\nAnswer: -n*(n + 19)*(n + 78)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 678199123?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 - 33. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-104 - -102) + 8 + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8013*d - 8011*d - 17 = -3*y, -5*y + 2*d = -7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 8092369*p - 48554222. Determine g(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*w + 15 = -28*w. Solve 0*m + w*p = -3*m - 3, -4*p = m + 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -50 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 196 = -5*f, -5*f + 2*f + 3*r - 114 = 0. What is the common denominator of -1 + -89*(-1)\/(-14) and -1 + 2 + (-82)\/f?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24288525 - -0.02\nAnswer: 24288525.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**4 + 809*c**3 - 163215*c**2 - 164025*c = 0 for c.\nAnswer: -1, 0, 405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -7*c - 2*m, -4*m = -3*c. Suppose c = -18*w + 17*w + 4*p + 58, 34 = w + 4*p. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62493.8 + -62886.8056. Let k = -0.0056 - f. Let n = k + -393.0159. What is n rounded to 3 decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 282757385?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(272)*-1 + 1 + 2 + -3))**2*-2.\nAnswer: -4896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1660.64570758 plus -22?\nAnswer: -1682.64570758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 9*c**2 - 12*c + 21. Let q be z(10). Let m(d) = -10*d**2 + 2*d - 1. Give m(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 314, 663, 1012?\nAnswer: 1361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**2*m + 2*j**2*v**2 + 697*j**2 + m*v**2 - 39*m*v - m + 9 with respect to j.\nAnswer: 4*j*m + 4*j*v**2 + 1394*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5\/6 - -4\/3. Let y = -918.9 - -919. What is the closest to y in m, 2\/9, 1\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -6*t**3 - 6*t**2 + 11*t - 17. Let p(r) = 2*r**3 + 2*r**2 - 4*r + 6. Give -6*i(u) - 17*p(u).\nAnswer: 2*u**3 + 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 234372300 = -123*g. Round g to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2352.112721 rounded to the nearest 10?\nAnswer: 2350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3291577 to the power of 1\/2, to the nearest integer?\nAnswer: 1814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/(w*w**25*w*w)))\/((w*w\/w**(-12\/7)*w)\/w))\/(w**(-7\/2)\/w*w*(w*w**0\/w)\/w))**13 assuming w is positive.\nAnswer: w**(5239\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -19*d - 3 + 9*d - d**2 + 11*d + 3*d. Suppose 3*g - 2*g + 4*c = 11, -5*c + 10 = 0. Suppose -g*w = -8*w + 15. What is k(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*n = 15. Suppose -15*m - 140 = -20*m. Solve t + 3*t + 4*v = m, n*v = -t + 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 94.91 - 95.14989. Let r = b + 0.283837. Let v = r + -0.0442. Round v to five dps.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g**3\/15 + 3142*g**2\/5 + 990952*g\/15 + 18824 = 0.\nAnswer: -543, -130, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 6192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37\/10 in 3, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/26))**(-3\/2)*(s*s\/((s**(-37)\/s)\/s*s))**19 assuming s is positive.\nAnswer: s**(39523\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2948 is divided by 732?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*x**2\/3 - 46*x\/3 - 24 = 0. Calculate x.\nAnswer: -4, -18\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 6*m - 7*m. Suppose 7*b - m = -0*b. What is the nearest to -4 in -1\/4, 0.3, b?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 2*j = -22. Let t(h) = -3*h**2 + 5*h**2 - 4*h**j. Let y(q) = 25*q. Give y(t(p)).\nAnswer: -50*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8678 is divided by 2873?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -330, -324, -320, -318, -318, -320, -324?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3*g - 5*g + 0*g)*(-g - g + 0*g) + 275*g**2 - 1094*g + 1094*g)*(4*g**2 - g**2 - g**2) to the form z*g**3 + y*g**2 + x*g**4 + r + k*g and give x.\nAnswer: 558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 42. Calculate the remainder when u is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2488.958 - -2467.9. Let t = -43 - -22. Let a = t - l. Round a to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72529*f - 6 - 8 - 15 + 72514*f + 29.\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-104)\/(-16) - 1\/(-2). Suppose 6*n + o = -5. Suppose -4 = -3*v - 1. Sort -5, n, v in decreasing order.\nAnswer: v, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - 4*r + r - 2)*(30*r**2 - 15*r**2 + 36*r**2)*(2 - 6 + 1 + r).\nAnswer: 102*r**4 - 408*r**3 + 306*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 minus -984.2?\nAnswer: 974.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5218091 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + o + 4)*(-5 + 2 + 1 + (0 - 5 + 3)*(-4 - 1 + 3) - 2 + 4 - 1 + 2 + 2 - 3 - 3 + 3 - 7).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-12))\/((1*-1)\/1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -672 - 1646*x + 1503 - 664 - 167.\nAnswer: -1646*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 810 and 733950.\nAnswer: 6605550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 61.29, -4\/7, -2\/3 in decreasing order.\nAnswer: 61.29, -4\/7, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/10*(-1000)\/560?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 8*n. Let w be z(8). Sort -4, -2, w in ascending order.\nAnswer: -4, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven halves of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 1639, -10 in decreasing order.\nAnswer: 1639, -1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (3 + (-12 - 5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 19165 * -210\nAnswer: -4024650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 15*a - 121. Let b(i) = -23*i - 77. Let r be b(-4). Is q(r) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -473 + 928. What are the prime factors of v?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4699.1 - -4705.1666. Let s = -0.0906 + y. Let m = s - 6. Round m to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3353*z**2 - 1526*z**2 + 5689 - 5689 to a*z + k + m*z**2 and give m.\nAnswer: 1827","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*h**4 + 25*h - 14 wrt h?\nAnswer: -20*h**3 + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 7*d - 5. Suppose -4*a - 4 = -5*g, 4*g - 1 = a + g. Let l be (-7 - a) + 6\/6. Let r be k(l). Solve 4*t = t - 4*i + r, 4*t + 5*i = 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-40))\/((16\/480*-6)\/((-52)\/(-4)))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**2 + 0*q**2 + 2*q**5 + (4 - 3 + 0)*(-q**5 - 1 + 1) + 3*q**5 - q**5 - 5*q**5.\nAnswer: -2*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 1\/18*m**6 - 2\/15*m**5 + 0*m + 2\/9*m**3 + 112 + 0*m**4 - 1\/6*m**2. Factor k(w).\nAnswer: w*(w - 1)**3*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -l**3*p*t + 65*l**3*p - 3*l**3 - 9515*l*p - p*t - 568725*t wrt t.\nAnswer: -l**3*p - p - 568725","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 15 = 3. Suppose 3*l + 15 = 0, x*c - l - 73 = 2*c. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**5\/4 + 13*j**4\/4 - 343*j**3\/4 + 995*j**2\/4 + 675*j\/2 = 0.\nAnswer: -27, -1, 0, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 5 - 19 = 0. Let x be 1*(-8 + (-4 - o) - -3). Let g be (42\/10 + x)\/(-46). Which is greater: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -5*x + 60, p - 14 - 16 = 5*x. Let z = p - 20. What is the highest common factor of z and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 2*v)*(-3 + 3 - 2)*((-1 + 0 - 1)*(2*v + 1 - 1) - v - v + 5*v) - 215*v + 215*v - 22*v**2 to the form n*v + p*v**2 + q and give p.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1656 and 5808?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vygyhgkxyxxygkkyx. Give prob of picking 1 v and 1 y.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1479 and 261?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-308))\/(8\/56)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**4 - 2*w**4 - 3*w**4 - w**2 + (-27 + 5*w + 27)*(0*w**3 - 4*w**3 + 8*w**3) as j*w**3 + s*w + q*w**4 + m + r*w**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -6. Suppose 16*l - 21*l + 410 = 0. Let x = -81 + l. What is the smallest common multiple of i and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -267*x**2 - x + 56*x**2 - 3*x**2 - 350*x**2 + 2*x to the form b + r*x**2 + f*x and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**3 - 3*f**2 - 16*f + 5. Let n(y) = 3*y**3 + 8*y**2 + 30*y - 11. Let d(r) = 5*h(r) + 3*n(r). Give d(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1075898, 2152017, 3228136, 4304255, 5380374, 6456493?\nAnswer: 7532612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -12*w**3 - 17*w**2 - 5158*w - 17. Let s(r) = 4*r**3 + 6*r**2 + 1723*r + 6. Give 6*c(j) + 17*s(j).\nAnswer: -4*j**3 - 1657*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286861711?\nAnswer: 61, 509, 9239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2287415 to the nearest integer?\nAnswer: 1512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1015680.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(19) + (sqrt(304) + -2 + sqrt(304))**2).\nAnswer: -186*sqrt(19) + 7320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.3 (b) 1 (c) -70\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -258, -1045, -2358, -4197, -6562, -9453?\nAnswer: -12870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14238 minus 0.281?\nAnswer: -0.13862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 2*g**3 + 2*g**2)*(2*g + 2*g - 2*g) + 34*g**3 + 11*g**4 - 34*g**3.\nAnswer: 15*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**4\/24 + 37*z**3\/12 + 9*z**2 - z + 11. Find i such that g(i) = 0.\nAnswer: -36, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 - 1 - (-112 + 58 + 139)?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k - 6. Let f be l(-5). Let p be ((-49)\/f)\/((-5)\/60). Let c = p + -64. Sort 4, -0.1, c in descending order.\nAnswer: 4, c, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**6\/25 + 67*j**5\/50 + 101*j**4\/15 - 196*j**3\/5 - 216*j**2\/5 - j + 196. Suppose o(h) = 0. What is h?\nAnswer: -18, -6, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -3. Let x(w) = 3*w**2 - 3*w + 4. Let g(v) = -2*v**2 - 2*v**2 + 112*v - 5 - 54*v - 55*v. Give f*g(m) - 5*x(m).\nAnswer: m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 12:18 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 601137620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 795 = 236*v - 38*v - 2967 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/30)\/i**(-5\/6)*i**(-24)\/(i*i*(i*i*i*i*i*i\/i**(-23)*i)\/i*i) assuming i is positive.\nAnswer: i**(-276\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -258048.23 times -14\nAnswer: 3612675.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -71005 divided by 38\nAnswer: -71005\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2 + 19 + 1 - 18 - 1059*k**3 - 394*k**2 wrt k?\nAnswer: -6354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1492 + -1460. Put g, 5, 1, -5 in ascending order.\nAnswer: -5, 1, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + ((sqrt(1300) - -1*sqrt(1300) - sqrt(1300)) + 2 - -5*sqrt(1300)*2))**2.\nAnswer: -1980*sqrt(13) + 471927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 1. Let i(w) = -5*w**2 - 2*w + 8. Suppose -4*d - 25 = 3*q + 13, -2*d - 10 = 0. What is q*l(p) - i(p)?\nAnswer: -p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 7 (c) -2\/2945\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1239, 2388, 3391, 4176, 4671, 4804, 4503?\nAnswer: 3696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/8)\/((-15)\/(-60))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxuuxx. What is prob of sequence ux?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 693\/44 + -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + (-146)\/4)\/(-5 + 15). Let g = -13\/4 - i. Which is the nearest to -1? (a) 0 (b) g (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 492*p - 30 = -488*p, 0 = 5*s - p + 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16f (base 16) to base 8.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 3*k + k + 20, -5*h + 4*k + 22 = 0. Let l be 2 - 1\/h*-6. Solve 2*r + 0*b = 4*b + 20, 3*b + 22 = l*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 632*w**4 + 640*w**4 - 1269*w**4 - 3*w**5 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -885, 0, 4, -0.5, 5, 2.\nAnswer: -885, -0.5, 0, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 - ((0 - -3) + -2)) + -340 + 339.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*g + 2 = -0*g, -4*d = 3*g - 5. Suppose -4*q - 3*t + 2*t + 346 = 0, 5*q - d*t - 439 = 0. What are the prime factors of q?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -204 + -70?\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1077 is divided by 155?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1121 and 649.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 752641345 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6027 - -0.72071. What is d rounded to 3 decimal places?\nAnswer: 0.118","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3933*o = -3922*o - 198 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 124*j - 126*j + 13616, 5*o - 17020 = -2*j. Is o a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -t - 5. Suppose 4*q = 13 + 7. Let w = q - t. Put -1, -5, w in descending order.\nAnswer: w, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/1187424 and 137\/2374848?\nAnswer: 2374848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/792 and -71\/4824.\nAnswer: 53064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 8. Let j be (-64)\/(-126) + m\/18. Let f = -3 + 3. Which is the third smallest value? (a) j (b) f (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z - 25*z + 6*z + 11*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -127*i**5 + i**4 + 202298*i**3 - 184054097*i**2?\nAnswer: -7620*i**2 + 24*i + 1213788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*n - 15*n + 3*n**3 - 332 + 1244.\nAnswer: 3*n**3 + 912","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38175 + 10*n + 9*n + 38175.\nAnswer: 19*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + 4 - 3) + 26 + -6.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1))\/((-473)\/(-258)*(-2)\/(-11))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {y: 3, z: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 139 + -116. Suppose 19*p + 116 = z*p. Let w = 92 - p. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 48*v**3 + 3*v**2\/2 - 7. Let t(n) = n**2 - 1. Let i(f) = 4*t(f) + x(f). Does 21 divide i(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 203018 and 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 32.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2280 - -2360. What is the greatest common divisor of h and 1240?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 62 (c) -3 (d) 5 (e) -22\/5 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3c5cb6 (base 13) in base 14?\nAnswer: 2a38bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4721 divided by -116916?\nAnswer: 4721\/116916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12105 (base 6) in base 12?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -173 + 165.4. Let l = d - -0.6. What is the third smallest value in -5, 6, l, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 4311\nAnswer: 5\/4311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -233 + 216 + 8\/1. Let q(g) = -2*g**3 - 17*g**2 - 4*g + 5. Calculate q(b).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20579513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 603169481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/41 in -0.1, -2\/3, 27, 3\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 65, 1, -2, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/63 - (6 - 4)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppee when four letters picked without replacement from pwowpeowwbpweoowb.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - a = -2*t - 17, -t + 2*a + 8 = 0. Let b be (-3 + t)*128\/6. Let h be (2 - 6) + (12 - 0). Calculate the greatest common divisor of h and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103 + 44?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 125603991 rounded to the nearest 10000?\nAnswer: 125600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 2. Let t = 10 + r. Let o = 11 - t. Solve 3 + o = 3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101102010 (base 3) in base 2?\nAnswer: -1110110100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*27\/(-297)*-53.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110001 - -1111111?\nAnswer: 11110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -673309 = -49*a - 675465 for a.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*i + 4*m = 20, 3*i + 4*m - 20 = 0. Suppose 2*k - 5*n + 25 = 0, 4*n = k - n + 20. Let b = i - k. Solve -2*o - b + 1 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3005 + 3011. Let h(t) be the first derivative of 0*t**2 + 17 + q*t**3 + 0*t - 16\/5*t**5 + 0*t**4. Find the third derivative of h(u) wrt u.\nAnswer: -384*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 78?\nAnswer: -7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 19 = 3*z, 2*w = 29*z - 24*z + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001 - -110001000101110?\nAnswer: 110001000011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/50 + 12876\/(-1850). Let g(q) = 2*q - 17. What is g(i)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 + 0. Let c(t) = 24*t + 675. Let u be c(-28). What is the nearest to g in u, 3\/7, 1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**4 + 70*r**3 + 340*r**2 + 360*r.\nAnswer: -5*r*(r - 18)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*w = -56*w + 4, 0 = -x + 2*w + 12903. What are the prime factors of x?\nAnswer: 12899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9 - 7)\/(4\/54). Let y = -49 + g. Let o be 114\/(-264) - 4\/y. Which is the second biggest value? (a) -0.3 (b) o (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 765\/158, 2, 0.3, -2.\nAnswer: -2, 0.3, 2, 765\/158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 11:26 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*r + 3. Sort -4, r, 6 in descending order.\nAnswer: 6, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -4*i**5 + 100*i**4 + 112*i**3 - 208*i**2 = 0?\nAnswer: -2, 0, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-116)\/(-5) - 3\/15?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 58746*c**2*j + 13069111*c**2*q**2 + 29*j*q**2 wrt j?\nAnswer: 58746*c**2 + 29*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 810 - 811. Put -95, x, -2 in descending order.\nAnswer: x, -2, -95","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y**2 - 40*y + 5. Suppose 0*n - 3*n + 6 = 0, -2*i = -5*n + 2. Suppose -39 = -i*h + h. What is the remainder when h is divided by b(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*c**3*p**4 + 85*c**3*p**2 - 207*c**3 + 2*c**2*p**2 - 506*c*p**5 wrt p.\nAnswer: -576*c**3*p - 30360*c*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 765*x - 4233. What are the prime factors of i(45)?\nAnswer: 2, 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1577267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 105 = 3*p. What is the tens digit of p\/(42\/(-8)) - 12588\/(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*((5035\/(-40))\/19 + (-12)\/32).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - x + 1. Let n(s) = 4*s**2 - 3*s + 5. Let k(a) = n(a) + 2*w(a). Let h be k(5). What is the highest common divisor of h and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.52, -9, 2, -1 in decreasing order.\nAnswer: 2.52, 2, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -7. Suppose -22 = -5*y - m. Let c(k) = -2 + y*k + 0 + 0 - 2*k + k**2. Determine c(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/9)\/((-4)\/(-3)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -610102193625 - -0.2.\nAnswer: -610102193624.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 65, 268, 603, 1070?\n\"Answer: 66*h**2 + 5*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, s: 2, m: 9, l: 2, u: 2}. What is prob of picking 2 m?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -94814 and -104 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 10*q**2 + 6. What is v(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 35. Suppose -4*t - 13 = -s, 2*s + 2*t = -2*t + d. Differentiate -s + 12*x**2 - 10 + 11 wrt x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72\/25 + -143\/100. What is the common denominator of j and 79\/88?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -478 less than or equal to -479?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3903, -7804, -11705, -15606, -19507?\nAnswer: -23408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 811 + (15 - (-54)\/(-6)). Let a = -723 - -742. Calculate the greatest common divisor of b and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -5*r**3 - 2*r + 4. Let j(i) = 5*i**3 + 2*i - 3. Determine -3*g(u) - 4*j(u).\nAnswer: -5*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8555 - -8558. Calculate the highest common divisor of s and 855.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -5*f**3\/3 - 2*f. Suppose -2*v + 5*h = -0*v + 11, 3*h - 17 = -4*v. Let s(z) = -26*z**v + 9*z**2 + 8*z**2. Determine a(s(o)).\nAnswer: 90*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67 - 64. Let g be 42\/(22\/(-24) + 1). Suppose 2*j + u = g, -s*j - 2*u + 663 = -94. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 2*t**2 + 1. Let n be x(2). Suppose 0 = 5*d - 4 - n. Let p(a) = 2*a - 4 + 0*a**2 - 2*a**2 + 3 + a**3. Give p(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.74 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 4*x + 948, -873 = -5*b + 5*x + 707. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 10)\/(4\/((-20)\/(-3))).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 - 158\/3. Let q be (-3)\/(-2) - (-35)\/10. Sort 0.2, g, q.\nAnswer: g, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6 = -u + 32, -2*u = 4*l - 64. Suppose 6*t + 5*g - u = 2*t, 2*t = g + 14. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60928 and 357?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3 (b) 2.2 (c) 0.3 (d) -0.5 (e) -0.95\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + 5. Let y be 3*2\/(-6) - -19. Let q = y - b. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13338 = -1503*u - 36261 for u.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 94\/8 - 9\/12. Let k(f) = f - 4. Let z(h) = -2*h + 11. Let q(a) = d*k(a) + 4*z(a). Let c(b) = -2*b**2. Calculate c(q(j)).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -5*u**2\/2 - 8*u + 32. Let k = 15 + -21. Let w be y(k). Solve 5*d = -25, -v = -0*v - 5*d - w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -87. Let v = -49 + u. Let n = v - 23. Which is the second biggest value? (a) -4 (b) n (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/2, 0, -1, 24?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-455) - (-1)\/2*(-92)\/(-322).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462192.1 millimeters in micrometers?\nAnswer: 462192100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4 + 84464*m**3 - 1189224900*m**2 + 5584993780000*m - 39036713406250.\nAnswer: -2*(m - 14075)**3*(m - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3760885\/48 + 78349. Find the common denominator of v and -82\/75.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f + 19 = 2*f + 3*s, -4*f + 48 = 8*s for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*v + 124 = -301, 5*f - 4*v - 2230 = 0. Suppose -11*k = -2*k - f. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m + 10*m = -p + 8, p = -3*m + 13 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 775958237.\nAnswer: 193, 1069, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 2*g - 260, 0 = -5*d + 3*g + 250 + 396. Which is greater: 127 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 + -44.64. Round u to 0 dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2476?\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - g - 5. Suppose -16 = 19*h - 73. Let t(k) = -5*k**3 + 8. Let f(z) = 4*z**3 - z - 9. Let i(a) = -3*f(a) - 2*t(a). What is h*i(j) + 7*m(j)?\nAnswer: j**3 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/3)\/m)**(-10)\/(m*m**(2\/3)*m**(-4)) assuming m is positive.\nAnswer: m**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + (-92 - -74 - -39).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.194 + 0.356. Let n = f + -16.362. What is n rounded to 0 decimal places?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 78, 306, 694, 1248, 1974, 2878, 3966?\n\"Answer: u**3 + 74*u**2 - u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -39 divided by 1791\nAnswer: -13\/597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**30\/b**(1\/4))\/(((b\/(b**(-15)*b))\/b*b)\/(b*b*(b\/b**4*b)\/b*b)) assuming b is positive.\nAnswer: b**(59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (2\/(-2) - -2). Suppose 9*p - 430 = -p. Suppose 5*z = -w + p, 8*z - 3*z - 46 = -2*w. Solve -3*d + n = -4*x - 15, -4*x = 3*d - z for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78342.75t to grams.\nAnswer: 78342750000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64*p - 31*p + 2549 - 5*p**2 + 5*p**4 - 2542 + p**3 - 32*p to x + m*p + s*p**3 + c*p**4 + h*p**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/1)\/2)\/(8\/(-4))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - f + 0*f)*(1 + 4 - 3) + 81*f - 87*f - 99*f.\nAnswer: -107*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*i - 40 - 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 540.7935 rounded to two decimal places?\nAnswer: 540.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/63)\/((-5)\/(-7))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((75\/(-10))\/(-5)*-3*(-56)\/(-819))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2 - 1 - 32*l.\nAnswer: -32*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(114)\/((sqrt(168)\/sqrt(4))\/sqrt(7)))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 786?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/5)\/((-1)\/5). Let f(k) = 2*k - 1. Let t be f(-2). Suppose -w = 5*c - 8, 2*w = -3*c + 6*w - 9. Sort t, n, c.\nAnswer: t, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-20)\/(-3))\/((-5 - -3)\/(-6)). Differentiate -r - d**4 + 24*d**4 - d**4 with respect to d.\nAnswer: 88*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/4*12\/9. Suppose x*w + 2*w = 212. What is the remainder when w is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 b when four letters picked without replacement from {i: 1, j: 3, s: 1, b: 7}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 13 - 10 - (5 - (3 + 4))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-592)\/(-518)*21\/(-45)*-3?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 222*h - 218*h - 47, -4*u - h = -28. Factor 0*c + 1\/3*c**2 + 1\/3*c**u - 1\/3*c**3 + 0 - 1\/3*c**4.\nAnswer: c**2*(c - 1)**2*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 403.51 + 0.24603?\nAnswer: 403.75603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31035, 31118, 31201, 31284, 31367, 31450?\nAnswer: 31533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6*q**3 + 7*q + 5. Suppose 2*d - 7*j = -2*j + 12, -4*d - 3*j = 28. Let p(h) = 17*h**3 + 20*h + 14. Calculate d*p(m) + 11*l(m).\nAnswer: -2*m**3 - 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhmh when four letters picked without replacement from hhmh?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 4. Let r be (4 + -4)\/(0 + j). Suppose 4*d + 5*n - 66 = r, -4*d = -0*d + 3*n - 62. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1829\/5 - 364. Let p(n) = n**2 - 22. Suppose i + 5*q + 26 - 1 = 0, -2*i + 2 = -3*q. Let v be p(i). Which is smaller: v or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 684\/27360*(-8)\/4*((-6)\/3)\/(-16).\nAnswer: -1\/160","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 14*q**2 + 13*q + 122. What is the remainder when 464 is divided by r(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 0.425.\nAnswer: 2.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (180\/(-8))\/((-1)\/2). Let g = o - 19. What is the remainder when 102 is divided by g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*k**2 + 19*k**2 + 10 - 10.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 3\/1 - 360\/(-12).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -54, -72, -88?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-2 - (-1 + -9 + 5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1311, 5, 11 in descending order.\nAnswer: 1311, 11, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6\/7 (b) 30\/13 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2107 times 885.01?\nAnswer: -186.471607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**6\/60 + y**4\/8 - 31*y**2 + 12. Let t(x) = 6*x + 4*x**3 - x**2 - x + 2*x. What is 7*q(s) - 3*t(s)?\nAnswer: 2*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 18, 0.4 in descending order.\nAnswer: 42, 18, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3)*(l\/l**(2\/9)*l)\/l*l)**1 assuming l is positive.\nAnswer: l**(-11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 154 and 1134?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3089*c**2 - 2177*c*l**3 - 127*l**3 - 2*l**2 - 10225 wrt c.\nAnswer: 6178*c - 2177*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5 = 0, -2*w = k - 2 + 1. Let n(s) be the third derivative of -7*s**4\/24 - 5*s**3\/6 - s**2. What are the prime factors of n(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -17244.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*u = -45. Let o be (-1717)\/187 - (-4)\/22. Let n = o + u. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 191\/2 + -96. Let f(k) = k**3 - k**2 - k - 3. Let t be f(0). Which is the biggest value? (a) y (b) 0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 11:29 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or -1078?\nAnswer: -1078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7746, 10608, 13470?\nAnswer: 16332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2640 divided by 5.\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 107047609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4527760 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219*i + 11856 = -232*i. Let g = i - -1849. List the prime factors of g.\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -2)*4\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 996000 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1346\/56 + 14\/56)*(-1015)\/(-145). Suppose 20 = -2*l + 4*l. What is the greatest common divisor of d and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/3 + d**2\/3 + 2*d\/3.\nAnswer: -d*(d - 2)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + (-2)\/(-4))*-308. Calculate the greatest common divisor of 14 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121923 divided by 402.\nAnswer: 40641\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -557*749\nAnswer: -417193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + (-38)\/(-12))\/(7\/28*2)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*z = 80. Let s = -64 + 103. Calculate the remainder when s is divided by z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 5*p**2 - 5*p + 5. Let b be q(6). Let o = -89 + 100. What is the highest common factor of o and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**4\/2 + j**3\/2 + 62*j**2 - 182*j + 120 = 0. Calculate j.\nAnswer: -12, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 30 = -8*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/((j*j**(-2\/15))\/j)*j*j*j*j*j**4\/j)\/(j**(-2)\/j**(1\/8)) assuming j is positive.\nAnswer: j**(1351\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + 18. Let k = -15 + h. Let -14*i - 11*i**2 + 62*i - 45*i**2 - 8 + k*i**3 - 2*i**2 = 0. Calculate i.\nAnswer: 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 + 162*q**2 - 127*q**2 - 123*q**2.\nAnswer: -88*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -48? (a) -2\/3 (b) -0.2 (c) 0.55667 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 7*u + 42. Suppose -15*p - 24 - 66 = -0. Give o(p).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 11*y**2 + 4*y. Let m(k) = -32*k**2 - 13*k. Let w(u) = -3*u + 2. Let d be w(-2). Let x(p) = d*t(p) + 3*m(p). Find the second derivative of x(b) wrt b.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 = -4*j + 7*i, 5*i = 5*j - 49 - 121. Sort -1, 62, j in decreasing order.\nAnswer: 62, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.39 + -0.14. Let y = -2.25 + b. Let v be 1\/((-3)\/(-7)) - 2. What is the nearest to -1 in y, 3, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 615*j**5\/4 - 49*j**4\/12 - 5*j**3\/6 + 1089*j + 2. Find the third derivative of x(b) wrt b.\nAnswer: 18450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05683316 and 2?\nAnswer: -0.11366632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, -1\/2, -5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*c = -14, 21 - 5 = 4*c. Suppose 0*b - y = -2*b. Solve -q + 2 = -b for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12480 divided by -4?\nAnswer: 3120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1667, -3334, -5001, -6668, -8335?\nAnswer: -10002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-5))\/(12\/(-30)). Let m be 1\/(n + (-18)\/8). Let o = m - -24. What is the smallest common multiple of 6 and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*287723.\nAnswer: 28772.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/296 and -52\/5?\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 217 + -147. Solve -59*o + 11 = -r*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wl when two letters picked without replacement from wlwlwlwwwwwhwwwww?\nAnswer: 39\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12470.\nAnswer: 2, 5, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -17513 * 4\nAnswer: -70052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -323 - -337. Factor 153*b - 20*b**4 - 70 - 9*b**3 - 42 - 25*b**2 + 4 + 23*b**4 - y*b**2.\nAnswer: 3*(b - 3)**2*(b - 1)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 7*n + 9. Let z be y(-1). Let g(b) be the third derivative of 0 + 2*b**2 + 1\/24*b**6 - 1\/12*b**4 + 0*b**z + 0*b - 1\/20*b**5. Factor g(k).\nAnswer: k*(k - 1)*(5*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 522 and 1357407408?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*z + 34 = -a, 5*a - 111 = -3*z. Suppose -7*r - a = -8*r. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -372 less than 1.9?\nAnswer: 373.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 14*x + 16. Let g be r(14). Let d = g + -8. What are the prime factors of (4\/d + 0)\/(4\/1896)?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - 28508?\nAnswer: -28515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iqs when three letters picked without replacement from ssqsfsssqssfsisissqs?\nAnswer: 13\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 3917052?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x - 1. Let w(f) = -f**3 + 8*f**2 - 9*f. Let a(q) = -2*r(q) - w(q). Let j be a(7). Suppose 5*t - 65 = -0*d - d, 75 = j*d - t. Is 10 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17516 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c - 4*c + 4*c + 4 - 4*c. Let l be o(-5). Suppose 0 = -4*w + 11 + l. Solve w*d = 2*j + 11, 0 = 2*d + j + 2*j + 7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*s**5 - 14*s + 14*s + (-2*s + 4*s - 3*s)*(s**4 + 2*s**3 - 2*s**3) - 3*s**5 + s**5 + s**5.\nAnswer: -18*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59186473 divided by 3.\nAnswer: 59186473\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 11) in base 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58349\/8 or 7295?\nAnswer: 58349\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((11 - -1 - 0) + 775 + -767)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 - 6*r + 323. Let s(p) = p. Calculate s(c(l)).\nAnswer: 2*l**2 - 6*l + 323","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 3, k: 9}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + v + 25 + 11 = 0, 5*m = -4*v + 135. Let c = 21 + -10. Calculate the remainder when m is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180313151 is divided by 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132 and 80146?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114791 is divided by 7632.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2 - 6529720*v + 6529718 = 0. What is v?\nAnswer: 1, 3264859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10804 (base 11) to base 12\nAnswer: -9051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5*o - 2)*(4*o - 5*o - 1 + 2*o).\nAnswer: -5*o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 999999*t + 10. Let o = 0 + 10. Let b be h(o). Round b to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 306808 and 20504?\nAnswer: 786348904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4443.159 decades to months.\nAnswer: 533179.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.026811132 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 225948028 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.243681 years to decades.\nAnswer: 0.5243681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/9*(-21)\/(-7)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -28, 3, -14, 22, 5 in descending order.\nAnswer: 22, 5, 3, -10, -14, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z + 2. Let s be b(-4). Let l be ((-28)\/35)\/((-2)\/s). Solve a - 12 = l*p, -5*p + 1 = a + 7 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 236 = -44. Suppose -3*p + 12 = 0, 0 = c - 5*c - 2*p + h. Calculate the remainder when 87 is divided by c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 6 - 2 - 4*t + 5*t. Let j be r(0). Suppose 3*x - j = -n + 1, -5*x + 19 = 3*n. Solve -v = v + n for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126884*l - 178289*l + 107847*l.\nAnswer: -197326*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 2*i + 885. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 446*k = 450*k - 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 75395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*f*m**2 + 5*f + 168*m**2 wrt f?\nAnswer: -13*m**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 6*z**2 - 6*z - 4. Let y be m(-5). Suppose 2*q = q - y. What are the prime factors of 3 + -1 + q\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 98*i - 8. Let j(z) = 100*z - 10. Give 6*d(f) - 5*j(f).\nAnswer: 88*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 7 = -5. Let k = -5 - -5. Suppose -2*m + 3*t + 14 = k, -4*m = t - 6*t - 32. Solve -20 = 3*u + v*n + 9, -m = -4*u + 5*n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dyz when three letters picked without replacement from {j: 1, z: 1, d: 1, x: 1, y: 1, u: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - 9888\/(-456))\/((-12)\/57)*58.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*y - 168*y + 26227 = -32753. List the prime factors of y.\nAnswer: 2, 5, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 37 = 28*k - 32*k, -3*k + 5*r = 64 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 155657 in -1, -0.3, -2, -0.4, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 14*z**3\/3 - 2*z**2 + z + 12. Is v(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 2 (b) -159 (c) 98 (d) -491\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45.5 + 0.5. Let o = m - 45.6. Which is the third biggest value? (a) 0.5 (b) o (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 13. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*k + i = -8, 11 = -2*k - 3*i. Let l(a) = -5*a + 11. Let d(q) = -q. Let u(c) = k*l(c) + 6*d(c). Give u(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1529*w**3 + 1232*w**2.\nAnswer: 9174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 323505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17175\/(-1575) - 4\/42?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 + 1937766*n + 83320240.\nAnswer: 2*(n + 43)*(n + 968840)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5115028 times -0.1?\nAnswer: 511502.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -60361902 divided by -9?\nAnswer: 6706878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41242 + 20624 + 20618 + p**2 + 2*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of s**6\/120 + s**5\/15 + s**4\/8 + s**3\/2 - 7*s**2 + 6. Let y(q) = -2*q - 11. Let h be y(-4). Determine f(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 123*f**2 + 988*f - 20418. Calculate s(116).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*((sqrt(5324) - -1*sqrt(5324)) + sqrt(5324)))\/(sqrt(324) + 6*(sqrt(324) - -1*sqrt(324)) + -1*2*sqrt(324)).\nAnswer: -5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237252?\nAnswer: 2, 3, 17, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 0.411\nAnswer: -0.2055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1155, 868, 215, -984, -2909, -5740?\nAnswer: -9657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 465*d - 3786. Let t be v(6). Do -995 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*m**5*z - 5*m**4*z - 19*m**2 - m*z + 4*z wrt m?\nAnswer: 180*m**2*z - 120*m*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -9*g - 30. Let x = 14 - 22. Let q be o(x). Suppose -q = -0*l - 6*l. Put 0, l, 3 in decreasing order.\nAnswer: l, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 + -43. Let i be ((-15)\/12)\/((-3)\/(-12)). Is (-134)\/3*w\/i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 13500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -16. Find the second derivative of 3*g - 8*g - z*g**3 + 2*g**2 + 6 - 3 - 12*g wrt g.\nAnswer: -78*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5636958.\nAnswer: 2, 3, 19, 197, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152 = 12*b + 80 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*w - 25 = -3*p, 2*p - 4*w = 10. Find the third derivative of 3*m**6 + m**6 - 2*m**5 + 2*m**5 + p*m**2 wrt m.\nAnswer: 480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103 + 89 + 2*b + 14.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-6)\/(60\/(-50))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 6*i**2 - i - 2. Let u be t(-6). Suppose 4 = u*s - 12. Is (-16)\/2*(-13)\/s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.87 times -8?\nAnswer: 86.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*d + 16 = 0. Suppose 0 = c + 2*c + 6, -d*n + 1086 = c. Suppose -2*i = n + 28. Round i to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(637)*2 - 2*(0 + sqrt(637))**2 - -5*(sqrt(637)*-3 + 2)**2.\nAnswer: -406*sqrt(13) + 27416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*l = -240*l + 23 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2224 divided by -556.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145083 + 88127 = 6205*l + 84290 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1697.882 rounded to the nearest 10?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 3*c - 3*c)*(5 - 4 - 2) - 3*c + 4*c - 4*c - 1656 - 105*c - 388*c + 1656.\nAnswer: -498*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43934433.\nAnswer: 3, 43, 340577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 31, 42, 53, 64?\n\"Answer: 11*r + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -35 (b) 1\/4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3541 + 3545. Let w(u) be the second derivative of 8*u + 0 + 4\/3*u**2 - 5\/6*u**k - 4\/9*u**3. Suppose w(x) = 0. What is x?\nAnswer: -2\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 3\/(2 - 37\/20).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39263.2 to the nearest one thousand.\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74985.\nAnswer: 3, 5, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/18*(-10)\/(-660)*(-12)\/16*2?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42 + 38*h - 105 - 349 - 340 - 36*h to the form q*h + n and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-672)*(-40)\/5*-42\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 11 - 17 = 0. Suppose -14 = -2*q - 2*f, -f + 16 = 5*q - q. Let m(u) = -u**3 + 4*u**2 - 2*u - 3. Let v be m(q). Which is smaller: v or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -220, -302, -384, -466, -548, -630?\n\"Answer: -82*g - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - p + 1. Let l(x) = 8*x**3 + 6*x**2 - 6*x + 8. Let j = 891 - 897. What is j*b(r) + l(r)?\nAnswer: 8*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 10381*z + 414. Let o be c(-8). Is o\/(-10) + ((-35)\/25 - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - w. Let c be k(1). Let j be ((-29)\/(-87))\/((-2)\/12). Is c smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1833570 divided by 33955\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 286133681 a multiple of 2206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -43 - 2*t + 78 - 58 + 39*t + 19*t. Let p(x) = -19*x + 8. Calculate 6*l(f) + 17*p(f).\nAnswer: 13*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-22)\/(-4) + -2)*-14. Suppose -3*s - x + 4*x + 228 = 0, -4*x + 101 = s. Let g = a + s. Is g a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232275 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 183031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 15) in base 13?\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 100000101100100011011111 (base 2) to base 4\nAnswer: 200230203133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 167 + -165. Let s = 9060 + -190178\/21. Find the common denominator of 6\/16 + -1 + q\/4 and s.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 5, 1\/3.\nAnswer: 2\/11, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1439\/16 + 90. Let o = 43\/80 + g. Factor 0 - 1\/5*v**5 + 1\/5*v**2 + 0*v - o*v**3 + 3\/5*v**4.\nAnswer: -v**2*(v - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s - 6. Suppose -3*c = -5*f - 26, -4*c - 2 = -10. Let b be u(f). Suppose -5*k - b = -p, 5*k - 2*p = -7*p - 40. Is k at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, p: 4}. Give prob of sequence pp.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/5, 26, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 1.8 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -20, 1\/13, 13 in decreasing order.\nAnswer: 13, 1\/13, -0.3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*d + 5*x, 0 = -2*d - 4*x - 2 + 10. Let l be (-114)\/(-4)*d\/(-9). Let n = l - 9. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**9\/2520 - w**7\/840 - w**4\/4 + 14*w. Let u(n) be the third derivative of v(n). What is the third derivative of u(m) wrt m?\nAnswer: 144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38686.8 tonnes to nanograms.\nAnswer: 38686800000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u - 9. Let t be j(7). Let y be (t - -3)\/4 - 3. Let m be -2*y\/((-2)\/(-9)). Which is bigger: m or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325 - 1921 - 1482 = -19*g. Solve -7*k = -190 + g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54.9 + -75.4. Let z = 15.5 + x. Which is the second smallest value? (a) 2 (b) z (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**7\/21 - 517*r**6\/30 - r**4\/12 + 36*r**2 + 1081*r. What is the third derivative of m(l) wrt l?\nAnswer: -120*l**2 - 12408*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 20 = -3*z. Suppose 0 = 5*t, 0 = -3*i - z*t - t - 6. Which is smaller: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 135\/3916 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -284282 divided by -463\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 7*z**2 - z - 4. Let f be c(-7). Let k = 6 - 4. Solve -k*a + f + 2 = x, 5*a + 4*x = 17 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 8. Let v = 8 + t. Is v > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 10:50 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2037 divided by -679?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(-2*sqrt(20) + sqrt(20)) - (sqrt(80) + 2))*-4)**2.\nAnswer: 384*sqrt(5) + 2944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 216 + -200. What is the smallest common multiple of 28 and t?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8528822 + -11951072. Let d = 3422250.3299989 + y. Let s = 0.33 - d. What is s rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 178357159 to the nearest integer?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*m - 47 = 3*m, 0 = k + 5*m - 14. Let a(d) = -12 + d**2 + 0*d - 5*d + 11 + 2*d. Does 14 divide a(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bffbbfbb.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3431526 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 30, 17, -8, -45?\n\"Answer: -6*y**2 + 5*y + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g + 5. What is j(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l + 163 - 133 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 8:59 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 8*i - i. Solve x + i*t = -10, -5*x - 3*t = -5 - 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(576)*1 + (sqrt(48)\/sqrt(4) + sqrt(12))\/sqrt(3))\/((1*sqrt(576))\/sqrt(2)).\nAnswer: 7*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3451*a**2 + 1699 wrt a.\nAnswer: 6902*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -4. Let k(t) = 4*t - 3. Determine k(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 5*k**2 + 5*k - 3. Let w be c(4). Suppose -p = -w, -p = -5*h - 1 + 10. What is the remainder when h\/(-2) + (3 - -31) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*w - w - 3 = 0, 0 = -5*w. Let u(j) = 4*j**2 - 13. What is the remainder when u(s) is divided by (-4)\/30 + 1274\/105?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4 + (-174)\/21)\/(26\/(-75894)).\nAnswer: 2, 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6687 divide 968665446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-47 - 1)*15\/(-9). Suppose x = n - 6*n. Let l = 47 + n. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 977.\nAnswer: 5862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 17*u - 30. Let h be o(15). Suppose 0 = 3*l - a - 4*a + 143, 0 = -5*l - 5*a - 305. Let y = l + 61. Put -6, h, y in decreasing order.\nAnswer: y, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 20998*p + 1973754. Calculate d(-94).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.101 - -0.023. Which is the second smallest value? (a) -3 (b) 0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-112)\/196*(-252)\/(-24)*1\/(-3). Solve 8 = -z*q - 2*a, 72*a + 12 = -3*q + 67*a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 361 and 361 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 - 18*i + 64. Calculate t(8).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-9 - ((2 - 13 - -2) + 9))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18610979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 3056.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w - 2. Let y be q(1). Let b = -5 - -8. Suppose y = 5*f - b*f - 24. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.1 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/2 - (-9)\/6. Suppose 4*o + o = -4*a + 43, g = -5*o - a + 37. Solve -o = 5*k - 5*h + 3, 2*k + h = -10 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1296*x + 12194 = -827*x for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 647273 and 3586?\nAnswer: 1294546","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 5*a - 5, 2*s - 5*a + 4 = -3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 139370411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50502150 (base 6) to base 3.\nAnswer: 2201010000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 515 divided by 103?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k + 16. Calculate the remainder when 19 is divided by c(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 60, 256, 678, 1428, 2608, 4320?\n\"Answer: 17*t**3 + 11*t**2 + 44*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 196 = -g, -2*p = -3*g - p + 588. Suppose 2*c = 4*o - g, o - 2*c - 100 = -o. Is o a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*j + 422 = -4*c + 136, 0 = 2*c + 4*j + 38 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r. Let w(i) be the third derivative of -3*i**4\/8 + 6*i**2. Determine y(w(d)).\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9295432?\nAnswer: 2, 1161929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-4) + 6 - 2. Let i(j) be the second derivative of -j + 0*j**d + 0 - 1\/3*j**3. Let p(w) = w. Give p(i(m)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1134490 is divided by 51.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/4 + (-1833)\/1602 - (-72)\/(-54).\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/4*6\/(-180). Let o(y) be the second derivative of -1\/24*y**3 + 0*y**2 + 0 + f*y**4 - 2*y. Factor o(m).\nAnswer: m*(2*m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 9. Let v be ((-8)\/(-4))\/2*5. Do v and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20712184.\nAnswer: 2, 61, 42443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**13*q)*q*(q**11\/q)\/q)\/(((q\/(q\/q**23*q)*q)\/q)\/(q\/q**(-11))) assuming q is positive.\nAnswer: q**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - ((-1179)\/6)\/(-3). Let k = x - -65. Let r be 80\/(-198) - 4\/(-22). Is r at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 4 + 1 - (0 + -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/394392 and -59\/2784.\nAnswer: 45749472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 1831*s = -1832*s + 13, 4*t - 5 = s for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*y + 13, -2*t - 3 = t. Let i(d) be the third derivative of -d**5\/60 - d**4\/8 - 2*d**3\/3 + 7*d**2. What is i(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -6*m**3 - m**2. Let u be -4*1\/(-2) + -3. Let h be v(u). Suppose -j - 48 = -h*j. What is the lowest common multiple of j and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*d**2 - 22*d**3 + 15*d**2 + 5*d**3.\nAnswer: -17*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -1110?\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/2 - 2\/4. Let w = 0 + 4. Suppose 0*j + j = -5. Sort j, w, l in decreasing order.\nAnswer: w, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.9927 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 127 + -1?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*v + 2 + (0 + v + 0)*(-2 + 3 + 1) + 2 - 10 + 25 + 1132*v - 15.\nAnswer: 1136*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-6) - (-20)\/24. Find the first derivative of 3*r**2 + z + 2*r**2 - 7*r**2 wrt r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/5 + (-54)\/30. Let n be (2*10\/(-2))\/q. Suppose -6*c = -3*c - n*s + 5, 3 = 5*c + 3*s. Is 1\/2 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**2\/5 + 12*f + 180 = 0.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110111111011001111 (base 2) in base 11?\nAnswer: 475012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 - 118*y - 37. Let z be s(63). Solve 4 = 465*u - z*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5949 is divided by 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -1\/8*x**4 + 2\/3*x**3 + 0*x**2 + 1\/360*x**6 + 0 + 1\/40*x**5 - x. Let y(b) be the second derivative of f(b). What is y(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 0.16 (b) 0.2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 123559263?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 66239518453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 1. Let v be (-2)\/(-3)*(-27)\/(-9). Let t(n) be the second derivative of -2*n**2 - v*n + 0 - 1\/3*n**3. Calculate -2*d(x) - t(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/15 - 31046*r\/3.\nAnswer: 2*r*(r - 77615)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101010000101001 + -10?\nAnswer: -100101010000101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x. Suppose -5*p + 15*p + 4*p + 41*p = 0. Let u(v) be the first derivative of -3 - 15\/2*v**2 + p*v. Calculate u(z(m)).\nAnswer: 30*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4 - 2 - 9*a + 3 - a**2. Suppose -2*d - 5 = 3, 40 = 4*i - 5*d. Let y(r) = -2*r**2 - 22*r + 12. Determine i*y(g) - 12*p(g).\nAnswer: 2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1064324168?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i. Suppose -3*s = -s - 8. Let z(g) be the first derivative of 3 + s*g**2 - g**2 - 2*g**2. What is z(q(w))?\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -24*x - 3. Calculate the remainder when 2\/(((-28)\/(-444))\/7) is divided by n(-2).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/162 and -127\/54?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -19*o**2 - 99*o - 9. Give a(-4).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 3*m - 10. Let h be n(10). Let u = h + -37. Is u a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 3 + (-4 + 6 + 0)*(-3 - 2 + 6))*(-19*p - 9*p + 35*p + (-2 + 1 - 1)*(-2*p + 3*p + 0*p) + 33*p + 28*p - 41*p - 2*p - p + p).\nAnswer: -46*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-3)\/(12\/(-14))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 414746682.\nAnswer: 2, 3, 7, 79, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-9) - 52\/(-9). Let p be (-10)\/(-16)*u\/5. Which is the third biggest value? (a) 3 (b) -1\/4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-126)\/(-70))\/((-6)\/(-50)). Let w = -11 + k. Suppose -5*o + 8 = t, -3*o = -2*t + 3*t - 4. Calculate the lowest common multiple of w and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19.66 and 0.17.\nAnswer: -3.3422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/3 of a hour?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -19*s**2. Let l(g) = -4283*g**2. Calculate l(w(n)).\nAnswer: -1546163*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 16*a**4 - 288332*a**3 - 648864*a**2 + 648828*a = 0.\nAnswer: -3, 0, 3\/4, 18023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4*l - 41. Let h(j) = 4*j + 40. What is 5*h(q) + 6*k(q)?\nAnswer: -4*q - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (8 + -6 + 5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.69 and -1?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -1355815.\nAnswer: 1355819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i + 12. Suppose 0 = -3*w - w + 36. Let m be l(w). What is the second biggest value in -3\/2, -3, m?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 16 = 6*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1536 and 404?\nAnswer: 155136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -7*d**2 - 275*d + 492. Give q(-41).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/153*((204\/(-66) - -4) + (-874)\/(-418)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51079327*d**2*l**3 - 74*d*l**3 + d*l + 1603*l**3 + 19*l**2 wrt d?\nAnswer: 102158654*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/24931504 and 11\/104.\nAnswer: 24931504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7756, 15511, 23266, 31021, 38776?\n\"Answer: 7755*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8156607.8 rounded to the nearest 10000?\nAnswer: 8160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.73 + 1.93. Put -0.6, 0.1, -0.2, t in increasing order.\nAnswer: -0.6, -0.2, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 867 and 1377?\nAnswer: 23409","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 4*o - 1\/4*o**4 + 3\/4*o**3 - 3\/4*o**2 + 0. Factor b(j).\nAnswer: -3*(j - 1)*(2*j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -108784218758\nAnswer: 108784218760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 3*w**3 + 1406424*w**2 + 164834299215*w - 329674224150 = 0.\nAnswer: -234405, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000225285 to seven decimal places.\nAnswer: 0.0000225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 2:26 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 6*x**2 + 8*x + 1. What is p(8)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.77 times -0.006?\nAnswer: -0.01662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from {x: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 11. Solve -4*i - 11 = q, -35 = -2*q + b*i - 9 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*k**4 + 445*k**3 + 64*k**2 + 233811*k.\nAnswer: 84*k**2 + 2670*k + 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 27\/(-6))*2148. Suppose 5*a + 0*f - 2*f - 9642 = 0, -4*f = 5*a - p. Suppose a = m + m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a + 2. Let f be x(-3). Let q = -3 - f. Let c(w) = -w**2 + w + 1. Let r(z) = -z**3 + z**2 - z - 2. Calculate q*r(n) - 4*c(n).\nAnswer: 2*n**3 + 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 8*h = -20 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**7\/840 - 53*z**6\/120 - 643*z**5\/240 - 215*z**4\/48 + 34*z**2 + 2*z + 6. Find j, given that v(j) = 0.\nAnswer: -2, -1, 0, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b + b - 7*b + 2 + 0 - 2*b.\nAnswer: -3*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 316375 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22442 + 0?\nAnswer: 22442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-4 + 0) + -3. Suppose 0 = c - u - 23, -c - w*u + 53 = 2*c. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*c + 48643 - 199013. Suppose -8*w = -c + 366. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2983973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 6*q**2 + 5. Let z be p(6). Suppose 4*c - z = 19. Suppose -4*u = 3*a - 61, -u - 12 = 3*a - 61. What is the highest common divisor of c and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 394 = 3*a + 271, 0 = -3*i - 12. Let p = a - -327. Suppose -f = -6*f + p. Calculate the greatest common factor of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 13) + 13 + -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5520 equal to 5515?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5 + 3*t - 4 - 3 + 5. Suppose 3*h - 3*b - b + 2 = 0, 7 = -h - 5*b. What is u(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 499*l**6 - l**4 + 1369*l**2 - 6*l + 6. Let w(n) = -n**6 - 3*n**2 - n + 1. Let o(a) = d(a) - 6*w(a). What is the third derivative of o(c) wrt c?\nAnswer: 60600*c**3 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.1 + -5. Suppose 1 - 14 = 2*x + 3*i, -5*x + 2*i - 4 = 0. Let p be x\/8 + 1\/(-28). Which is the smallest value? (a) -5 (b) r (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32255405 + -162?\nAnswer: -32255600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 926 + -607. List the prime factors of o.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292819914.\nAnswer: 2, 3, 97, 55903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 369777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 - 10.03. Let t be 93\/(-248)*(-2)\/(-3). Which is the second biggest value? (a) t (b) 0.24 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 7*s**2 + 30*s + 160. Give p(-5).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 6*z**2 - 4*z - 6. Determine x(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9310982503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72032 and 48?\nAnswer: 216096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = 4*o + 2*k - k, -o - 6 = 4*k. Let t = -16 - -5. Let s = t - o. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b**(1\/2)*b)\/b)\/b)\/b**(-1\/3))**(2\/67) assuming b is positive.\nAnswer: b**(5\/201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34164201 is divided by 1753?\nAnswer: 1737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 5. Let a(q) = 6*q. Let w(k) = 2 - 2 - k. Suppose 19*l = 21*l - 2. Calculate i*w(t) + l*a(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 1290 = 5*f - 3*y, y = -2*f + 515. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 - 1)*((194 - 63*r - 194)*(1 + 1 - 4) - 5 + r + 3 + 4).\nAnswer: -381*r - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -575856 by 4644.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11397388?\nAnswer: 2, 373, 7639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of 3*r**8\/14 + 4*r**6\/15 - 49*r**4\/12 + 138*r. Find the third derivative of w(o) wrt o.\nAnswer: 1440*o**3 + 192*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13674 (base 13) to base 15\nAnswer: -ab26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjssdbbsbsssscbzsbss. Give prob of picking 1 d, 1 z, and 1 s.\nAnswer: 11\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from xlxxxlllxxxxxxxlxl?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 33*n**2 - 91*n - 899. Let o be j(-25). What is the greatest common factor of o and 98?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 18. Solve -2*d - 2*o = 18, u*d - 4*o = -0*o + 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 471 + 254 + 236 - 8*t. Let h be v(4). Solve -3*s = h*q - 5*s - 12, 2*q = -s + 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (3 - 2)*1. Suppose -q*v = -7*v + 32. Suppose v*g - 230 = 3*g. Is g a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/364*14)\/(27\/(-2))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-22) - (8 - 6)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/18 + 274509\/729. What is the highest common factor of 2987 and p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 4)*(-4*f + f + 4*f)*(-179*f**2 - 2163*f**2 + 1390*f**2 - 1997*f**2).\nAnswer: -5898*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3280 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n. Let m(k) = -596446*k**2. Give a(m(d)).\nAnswer: -596446*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 169\/4533?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1992261 or -1992262?\nAnswer: -1992261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, -2\/2581, -0.4, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*t - 2*t**4 - t**2 + 9*t**2 + 5*t + 18*t**3 - 6*t**2 - 3*t**2 in the form d*t**2 + v*t + z*t**4 + l*t**3 + f and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 151343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**17\/q)**(-16)*(q\/(q\/q**14)*q)\/q**(-31) assuming q is positive.\nAnswer: q**(-210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1979*p - 22898 with respect to p.\nAnswer: -1979","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 16165202, 32330406, 48495610, 64660814?\n\"Answer: 16165204*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/18)\/(326\/(-29340))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-4 + 4 - -4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -5*u + 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 114*v**2*z + 17*v**2 + 7*v*z + 5*v + z + 1782 wrt v.\nAnswer: 228*z + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42 + 42 + 17*g**4)*(2 + 1 + 2).\nAnswer: 85*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**2 - z**2 + z**2 + (-2*z + z + 3*z)*(-2*z + 3*z + 0*z) + (-45*z**2 + 276*z**2 + 310*z**2)*(-3 + 4 - 2) as w*z**2 + i*z + o and give w.\nAnswer: -537","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4055?\nAnswer: 5, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 103685540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*i + 4*i - 3*i)*(9*i**2 - 13*i**2 - 13*i**2).\nAnswer: -153*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216433 and 97069?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -i**7\/10 - 3*i**6\/4 + 27*i**5\/20 + 5*i**4\/4 - 11*i**2\/2 + 15*i. Let k(j) be the first derivative of m(j). Factor k(c).\nAnswer: -3*c*(c - 1)*(c + 5)*(7*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 12 = 37. Suppose 0 = -0*s + 2*s - 24. Calculate the remainder when s is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 1. Let s(x) = -84*x**2 - 2. Give 2*h(o) - s(o).\nAnswer: 86*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -488, 21, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*o - 343 + 343)*(-2*o + 0*o + 0*o) - 3*o**2 - o**2 + 2*o**2 to the form v*o**2 + s + t*o and give v.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-56))\/(697\/92701).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0480041 to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2562096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -31037 (b) 0 (c) 1780\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 109*n - 135*n. Solve 0*b = 2*t + 5*b - 15, n = -2*b + 2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391 is divided by 90.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 61 = -5. Suppose -3*d + 1 = 73. Let f = y - d. Solve 6 = -w - f*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*sqrt(3))**2 + (3*(sqrt(3) - sqrt(12)))**2 - -2*((-1 + sqrt(3888))**2 - sqrt(27)).\nAnswer: -150*sqrt(3) + 7815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, 2\/5, 2\/15, 565, -3\/4?\nAnswer: 565","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90 by 90.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 517.\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 - (0 + (-5 - -2)). Suppose -l + 8 = -4*l - w, p = -2*l - 2*w. Let r be l - -1 - -1 - -2. Put 0.2, 0.5, r in decreasing order.\nAnswer: r, 0.5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60156 and 1620.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 246736799 to the nearest integer?\nAnswer: 15708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - s - 1. Let n(c) = -c**3 + 11*c**2 + 11*c + 11. Suppose 12 - 2 = -5*w. Determine w*n(u) - 22*z(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 11:39 PM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**4 - 5*w**3 + 5*w**2 - 6. Let n(a) = -2*a**4 + 4*a**3 - 4*a**2 + 5. Let o(j) = 4*h(j) + 5*n(j). Differentiate o(q) with respect to q.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 164*n**4 - n + 16*n**3 + 1 - 16*n**3 + 38*n**4 as b*n**4 + v*n + w*n**3 + x*n**2 + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 128\/10 + 17\/85 - -3. Let f be (-22 - (0 - -2))*(-8)\/z. Solve 2*r = -0*p + 3*p + 2, -3*r + f = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 55 = -4*o + 77, -2*o - 108 = -4*n. 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 next term in -8, -27, -46?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m, 15*b - 13*b + 4*m - 30 = 2 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + f = -6. Let d = -285 - -284.68. Let k = d - -0.52. Which is the nearest to -4\/9? (a) k (b) f (c) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -398 - -397.947. Let k = o - -0.0530859. Round k to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 11:35 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.002 or -509?\nAnswer: -509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37.1 + -35.1. Is p at most as big as -63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11819 and 130009?\nAnswer: 130009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 498909?\nAnswer: 3, 166303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 - 9*x**3 - 7*x**3)*(15*x - 38*x - 3071 + 3074).\nAnswer: 391*x**4 - 51*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-24)\/(-10))\/(2\/10). Let q = -8 + l. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11895, -11897, -11901, -11907, -11915, -11925?\nAnswer: -11937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -676 + 16 + 7*b - 491 - 6*b + 3*b.\nAnswer: 4*b - 1151","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 22*a - 58*a + a**2 + 36*a. Let k(o) = -169*o + 3. Calculate k(c(g)).\nAnswer: -169*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 360*r**3*v**2*z**2 - 2*r**3*v**2*z + 213*r**3*v**2 - 15*r**3*z**2 + 4*z wrt z?\nAnswer: 720*r**3*v**2 - 30*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 254, 509, 764?\nAnswer: 1019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o**(-1)\/o)\/o*o)**21*o**(-5)*o**(2\/5))\/((o*o\/(o**1\/o))**(2\/23)*(o**(2\/5))**41) assuming o is positive.\nAnswer: o**(-970\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n**3 + n**2 - n. Let c be d(1). Let r = 19 - 17. Suppose 4*f + r*o + 16 = f, -8 = c*o. Put 3, f, 1 in ascending order.\nAnswer: f, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 1)*1\/5. Let d = 535\/6 - 89. Let o = 10648\/15 + -710. Which is the third smallest value? (a) d (b) y (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12013123 (base 4) to base 8\nAnswer: -60733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -408490 + 171?\nAnswer: -40831a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 2) to base 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*m**3 - 967*m**2 + 8*m**3 - 971*m**2 + 1940*m**2 + 33*m**3.\nAnswer: -20*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l. Let o(p) = -38642*p**2 + 7. Give o(k(x)).\nAnswer: -38642*x**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 6812*l**3\/3 - l**2\/2 - 77*l - 5240. Differentiate g(m) wrt m.\nAnswer: 13624*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37 - 17) + -1 + -3 + -3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 91\/15 + 2\/(-5). Which is bigger: 6 or v?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 127085000 to the nearest one million.\nAnswer: 127000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/2*(-336)\/(-420). Let w be g\/132*-62 + 2\/11. Solve -15 = 6*r - w*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 69*m - 1228. Determine v(33).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 4, -5, 0, -56 in increasing order.\nAnswer: -56, -5, 0, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*-2 + 5 - sqrt(192))**2*1 - (-2 + (-5*4*sqrt(192) - sqrt(192))).\nAnswer: -72*sqrt(3) + 1755","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -b**3\/3 + 4*b. Suppose 9 = m - 26. What is the remainder when m is divided by h(-9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (46 + -46)\/(3 - 6). Let q = 13 + -13.5. Put -1\/3, q, z, -0.1 in descending order.\nAnswer: z, -0.1, -1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -0.5, 1, 0.4, 2, 148?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70) + -2*sqrt(70)*2 + sqrt(70) - sqrt(70)) + sqrt(70) - -6*1*sqrt(70))*-6)\/(sqrt(100)\/(sqrt(10) + sqrt(90)*3)*5).\nAnswer: -48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 0*v, -5*z + 5*v - 25 = 0. Suppose 25*p + 13 = -12. Let h be -1 + -10 - (z + (p - -3)). Let r(m) = -m**3 - 9*m**2 - 9*m + 2. Give r(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/4*4\/(-6). Let m = -0.8 - 6.2. Let w = -6.7 - m. Which is the nearest to -1? (a) j (b) 2\/5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 14*w + 1487719 = -2*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4362 - 98 = 226*v - 3179 + 437 for v.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1163 - 1133356?\nAnswer: -1134541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28*y + 397 - 10*y - 395)*(66 + 23 - 5) to s*y + j and give j.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2642670774 to the power of 1\/2, to the nearest integer?\nAnswer: 51407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -4*n + 29, -6*n + 2*n + 9 = o. Let f(l) = l + 1. Let j be f(0). Let v(z) = -j - z**3 + 0*z**2 + 2 - z**2 - z. Give v(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + (-30 + -1 - (315 - 326)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a centimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/(q\/q**(5\/2))*q)*((q**(-3)*q)\/q)\/q assuming q is positive.\nAnswer: q**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*r - 2*r + 11 = 0, 10 = -5*r. Suppose 2*q = c*w - 597, -q - 3*q = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-19))\/(178\/(-1691)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103923755?\nAnswer: 5, 13, 1598827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**5)**7*(m**15\/m)\/(m*m**13))**38 assuming m is positive.\nAnswer: m**1330","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (1 - 4)) + -4 - -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (46\/(-1))\/((-8)\/4). Let n = d - 21. What are the prime factors of (-56)\/(-10)*(12 - n)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1074004\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -499239709*y + 417777407.\nAnswer: -499239709","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(475) - (2 + sqrt(475) + 2))*5)**2*5.\nAnswer: 2003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uslzw. Give prob of sequence sl.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -9342118\nAnswer: 18684236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 82 and 10.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/61865952 and 71\/4968.\nAnswer: 556793568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*n + 23 = -64, l - 4*n - 39 = 0. Calculate the remainder when 211 is divided by l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 348\/48) + (-1)\/(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.5633187 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggt. What is prob of sequence gtg?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 5:56 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -206, -1126, -2658, -4802, -7558?\n\"Answer: -306*f**2 - 2*f + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 1331?\nAnswer: 1321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 3 + 3)*(-31 + 2*j**4 + 12 + 9 + 2*j).\nAnswer: -2*j**5 - 2*j**2 + 10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -197a0?\nAnswer: -1979a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/45 and 28\/69363915.\nAnswer: 208091745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 0) + (-3 - -15)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 r when two letters picked without replacement from {n: 1, y: 1, i: 1, r: 1, e: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-16)\/12)\/(1\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14527734, -14527737, -14527740, -14527743?\nAnswer: -14527746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 11*m**2 - 9*m + 6. Let w be l(-10). Does 3 divide ((-30 - -2)\/w)\/(0 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -43*k**8\/336 + 73*k**5\/60 - 100*k**2. What is the third derivative of j(n) wrt n?\nAnswer: -2580*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -1)\/((-2)\/10). Let z(d) = -3*d - 5. Let m(v) = -v - 2. Determine k*m(a) - 2*z(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11534\/237 + -49)*12\/324.\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*g**2 - 27 - 15 + 54 + 5*g - 12 - 2*g**3 in the form j*g + m*g**3 + t*g**2 + i and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*a - 4*a - 2*a to r + x*a and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 607 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 135 + -966. Let i = 828.51 + f. Which is greater: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000027429 to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*p = -40. Calculate the remainder when p is divided by (-24)\/(-42) + (-404)\/(-28).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -6*o + x + 47, 3*o - 74 = 5*x. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -15*5\/(-15)*3\/5. Suppose k*v + 483 = 5*b, 37 = -4*b + 3*v + 424. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -2 - 5) + 3 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 + 3*w + 5. Let o be u(5). Suppose -c - o = c. Let i = -15 - c. Is 10 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13756, -13755, -13754, -13753, -13752, -13751?\n\"Answer: b - 13757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -525827 - -275827. Let g be ((-65)\/5 - 1)*o. Round g to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004083901 to five dps.\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3613704407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-4\/3)\/(z\/((z*z**(-2\/3))\/z))*(z**(-1))**33*((z**(-8)*z)\/(z\/z**(-3\/5)))\/(z**(-2))**(7\/4) assuming z is positive.\nAnswer: z**(-411\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*j + 26 = 0. What is the units digit of 1\/(-2)*j + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/10)\/(28\/560)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -15 + 15 - (2975\/258 - 0). Let q = 23\/2 + p. Let b = q - -7103\/258. Calculate the common denominator of -21\/8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 7:19 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*6\/(-15))\/(45\/750*-5)?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (24\/(-160)*-636)\/(3*(-1)\/(-15)). Solve -474*q - 2 = l - b*q, -7 = l + 2*q for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 210364, 210362, 210360?\n\"Answer: -2*l + 210366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -3*f**4\/7 + 18*f**3\/7 + 108072*f**2\/7 + 10847328*f\/7 + 308161152\/7 = 0?\nAnswer: -76, 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -57088390 divided by -3?\nAnswer: 57088390\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17994 or 17989?\nAnswer: 17989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 777, 778, 779?\n\"Answer: a + 776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27480, -27491, -27502, -27513, -27524, -27535?\nAnswer: -27546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 4:38 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -167*o**3 + 1. Let p be g(-1). Let a = -38 - -59. What is the highest common divisor of a and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 9:52 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -821, -837, -853, -869, -885, -901?\nAnswer: -917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/3 + 212*i**2\/3 - 70*i.\nAnswer: -2*i*(i - 105)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of m**5\/12 + 895*m**4\/12 + 160205*m**3\/6 + 711*m**2. Factor r(y).\nAnswer: 5*(y + 179)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29149 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/2)\/(16\/40). Suppose z*y - 236409 = 151091. What is y rounded to the nearest one thousand?\nAnswer: 78000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7999 and 5?\nAnswer: 39995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2834*b**4 - 3082 wrt b.\nAnswer: -11336*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20211 to the power of 1\/2, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6 = 0, -15*i - 6*n + 8*n = -20*i + 37. Let s(k) be the first derivative of -k**4\/4 + 2*k**3\/3 + 3*k**2 + 7*k - 1. Give s(i).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5\/5 - 237*q**4\/5 + 20906*q**3\/5 - 162994*q**2 + 2410785*q - 2251925.\nAnswer: (q - 65)**3*(q - 41)*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + 10*t - 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7507 - 7585 + 84*d - 23*d wrt d.\nAnswer: 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 29. Let y(a) = -a - 2*a**m + 4*a - 29 + 30. Let h be y(2). Let o(g) = -2*g**3 + g. Let l(v) = -v**2. Determine h*o(p) - l(p).\nAnswer: 2*p**3 + p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1302 divided by 186?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54 - 52. Find the second derivative of 2*h - z*h**3 - 11*h - 9*h**3 - 37*h wrt h.\nAnswer: -66*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -8*h + 13. Let g be q(10). Let d = g + 81. Suppose -9*n - 2*c + 5 = -d*n, -3*c + 3 = -3*n. Does n = -6\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*d + 13. Suppose 8 = d*i - 18. Solve -i - 7 = 5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*a + 2*s = -32*a - 12, -3*s - 22 = -4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 104338?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 479 + (-3 - 0) - 6. Let y = 399 + i. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 44, 353, 1190, 2819, 5504, 9509?\n\"Answer: 44*k**3 + k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (107*d - 101*d + 4*d**2 - 5*d**2)*(-3 - 2 + 1)*(-5 + 5 - 2) to the form t + i*d**2 + z*d and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7596, -25385, -53370, -91551, -139928, -198501, -267270?\n\"Answer: -5098*f**2 - 2495*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.02929 - 325.12929. Let z = s + 312. Round z to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 523. Let j(v) = -2*v - 1566. Determine -3*j(w) - 8*n(w).\nAnswer: -2*w + 514","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 4, j: 1, i: 3, m: 1, r: 10}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 550 + -89a7?\nAnswer: -8457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 80 (b) 0 (c) -1 (d) 1\/11 (e) 3\/2 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-9)*3)\/(-1)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 14173*k + 7302. Let u(w) = -28280*w - 14602. Let a(z) = 9*n(z) + 4*u(z). What is the derivative of a(o) wrt o?\nAnswer: 14437","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 12*b - 4. Let q(o) = -24*o**2 + 0 + 26*o**2 - 27*o - 4 - 5. Let c(z) = 4*q(z) - 9*r(z). Let k(g) = -247*g**2. Give k(c(p)).\nAnswer: -247*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 - -38. Let l be (-28 + -3 + 5)*7. Let x be (-156)\/l + 0 + -1. Which is the biggest value? (a) x (b) q (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 10. Suppose -6 - o = -5*z. Let p(v) = -v**2 + v + 8. Let y be p(0). Solve 3*g - z + y = 0, 4*s + 5*g = 6 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 - (-4)\/2) + -4. Let u be (6\/9*1)\/(v\/(-84)). Solve r - u = 5*z, 0 = -2*r + 3*r - 2*z - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + -1 - sqrt(288))*4 + sqrt(288) + 6*sqrt(288)*-1.\nAnswer: -60*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29345971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z - 13. Let v(x) = x - 2. Give -5*l(j) + 30*v(j).\nAnswer: 40*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 1:54 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, c: 1, l: 3, z: 1, t: 1}. Give prob of sequence zllc.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23110 (base 6) to base 13.\nAnswer: -1656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8294.\nAnswer: 2, 11, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4942934 is divided by 1647633?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 47*z - 2*z + 2 - 2.\nAnswer: -49*z + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 565 a factor of 44659229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**4 + 2*l**2 + 3*l**3 - 2*l**4 - 11*l + 10*l to the form n*l**4 + b*l + o + k*l**3 + v*l**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 5*f - 60, -4*b - 4*f = b - 58. Suppose -1494 = -b*o + o. What are the prime factors of o?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 z, and 1 v when three letters picked without replacement from {v: 3, i: 4, z: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 15 (b) -1 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -11100?\nAnswer: 11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**5 - 196*p**4 + 43720*p**3 + 3885276*p**2 - 94007718*p - 97849080 = 0. Calculate p.\nAnswer: -129, -1, 21, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 330523883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c61 (base 14) to base 3.\nAnswer: -10100021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 522, -0.5, 0.23719?\nAnswer: 522","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1\/2))**47 assuming l is positive.\nAnswer: l**(141\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 2*f + 6 = 0, -f - 4 = -1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 5:20 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 435991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4977*d - 2805?\nAnswer: -4977","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*r + 6*i, -45*r = -48*r + 5*i + 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6125790 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: In base 7, what is -5 - -2014006?\nAnswer: 2014001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0416592ms to minutes.\nAnswer: 0.00000069432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-3 - 1) + (9 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 171453616 - 2?\nAnswer: 171453614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 less than -406.124?\nAnswer: -406.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5397772*o + 6907787 wrt o?\nAnswer: -5397772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3047?\nAnswer: 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 0 (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10166*d**2*f**3 - 3*d*f**3 - 2*d*f + 9*f**3 - 15 wrt d?\nAnswer: -20332*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 9*h**2 + 8. Let a(r) be the second derivative of 3*r**4\/4 + 7*r**2\/2 - 6520*r. Determine -6*a(d) + 5*w(d).\nAnswer: -9*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -5, 5, 131, -3, 2, 14.\nAnswer: -12, -5, -3, 2, 5, 14, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.1 + -2.5. Put b, -1, 3\/4 in increasing order.\nAnswer: -1, b, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 1\/336*u**8 + 0*u**4 + 0 - 1\/60*u**5 + 0*u**6 - 6*u**2 + 0*u**7 + 0*u**3 + 0*u. What is the third derivative of a(h) wrt h?\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 776516953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 64\/3. Put x, 0.2, -4 in decreasing order.\nAnswer: 0.2, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 3*z = 108. Round z to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 232 = -10. What is the greatest common divisor of 154 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.9 - -1.9. Let g(d) = d - 1. Let z be g(0). Let m be (-3)\/z*(0 - 1). Put m, o, 0.1 in decreasing order.\nAnswer: 0.1, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-74*x + 24*x - 79*x)*(3 - 2 + 1 - 3 - 1 + 2 + (-5 + 2 + 2)*(-1 + 2 + 1)) to m + v*x and give v.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 483 - 186 = -3*i. Let k be ((-8)\/6)\/(22\/i). Differentiate -k - 12*p**3 + 2*p**3 + 10 wrt p.\nAnswer: -30*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2 = 70. Let u be ((-51)\/(-34))\/(1\/(-2) - -1). Suppose -54 = -3*p - 5*c + u*c, 4*p - c - i = 0. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j - 11*j = 50636. Suppose -4*p - 3*s = 4072 - j, p - 2*s - 2155 = 0. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*x + 12 = 51*x. Let y(b) = 2*b**3 - 2*b**2 - 4*b - 1. Let l be y(3). Sort -2, l, x in decreasing order.\nAnswer: l, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 650 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-10))**(-15)\/(r**(-2\/37)*r**(2\/17)\/r*r) assuming r is positive.\nAnswer: r**(94310\/629)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -78707 divided by -33\nAnswer: 78707\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2900?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 203014 + 3421?\nAnswer: 211440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -8. Let z(n) be the second derivative of -n + 0 - 1\/40*n**5 + 1\/48*n**4 + 1\/12*n**3 - 1\/8*n**h. Find x, given that z(x) = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -6*a - a + 0*a - 54 - 3*a. Let o be w(-6). Solve 2*x = -2*k + 14, -2*k - o*x + 24 = -2*x for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 0.2 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(63)\/(sqrt(9)*2) + -5 + sqrt(63) - (sqrt(77)\/(sqrt(33)\/sqrt(3)) - (sqrt(252) - 2*sqrt(252))**2)).\nAnswer: 5*sqrt(7)\/2 + 248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18221, -18210, -18185, -18140, -18069?\nAnswer: -17966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 208 and 38974?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**5\/120 - w**4\/48 + 181*w**2. Factor r(n).\nAnswer: n*(n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 8*i - 5*h + 2, -10 = -4*i + h for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 + 0.437512\nAnswer: 0.497512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 q when two letters picked without replacement from {s: 1, j: 7, w: 2, d: 2, q: 1, c: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, 0.06, -3\/7, 15\/58, 148?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (-433)\/12*-3. Which is greater: 111 or d?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**2 - 9*i + 13*i + 2*i**4 + 3 - 5*i + 7*i**3 in the form y*i**2 + p*i**4 + x + a*i + t*i**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 896 + 1890 = 0. What are the prime factors of p?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53*g*u**3 + 8*g*u**2 - 4590604*g*u - 2*g - 19989*u**3 - 2*u**2 wrt u.\nAnswer: -318*g*u + 16*g - 119934*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -2*i - 2*i + 362, 3*b - 195 = 5*i. Suppose -4*g = 10*g - b. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00364240141 to 6 dps.\nAnswer: 0.003642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2.9 times -19802\nAnswer: -57425.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 10 = s. Suppose -s*k = -92 + 22. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - r**2 + 4. Calculate h(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 100*n**2*r**3 + 33172*n**2*r**2*w**3 + 38*n*r**3*w**3 + 132*n*r**3*w - 642*n*r*w**3 wrt n?\nAnswer: 200*r**3 + 66344*r**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50 - -199\/4. Let k = 4 + -6. Let y = k + 4. Which is the closest to -4? (a) w (b) y (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142859460 = -39*u - 22890540. What is u rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002383991 rounded to six dps?\nAnswer: -0.000238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/6)\/(2\/(-6)). Let y be (-6)\/9 + (-370)\/30. Let r = t - y. Does 17 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -11*x**2 + 2*x - 582. Let s(b) = -12*b**2 + 2*b - 693. Calculate -5*s(w) + 6*t(w).\nAnswer: -6*w**2 + 2*w - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, m: 3, x: 1, u: 1, d: 5}. What is prob of picking 1 b, 1 x, 1 m, and 1 u?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - -15 - (2 + 0)) + 6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 15981?\nAnswer: 15977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -499*x**3 - 37*x + 101*x - 64*x.\nAnswer: -499*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7305*v + 5 - 7305*v - 104*v**2 + (1 - v**2 - 1)*(-4 + 4 + 1).\nAnswer: -105*v**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/8 or 31771?\nAnswer: 31771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*n + 7*n - 64 = -19*n for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 2\/5*k**2 - 1\/5*k**4 + 1\/5*k - 1\/15*k**3 + 7. Factor g(h).\nAnswer: -(h - 1)*(h + 1)*(4*h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 24 + 10 = -2*g - 4, -g - 23 = g + 7*n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2 - 4. What is the third derivative of 19*a**2 - v*a**3 + 6*a**3 - 23*a**2 - a**3 wrt a?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 958 - 264407\/276. Calculate the common denominator of z and -22\/27.\nAnswer: 2484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, o: 5, s: 3}. What is prob of picking 2 o?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1460 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) 1 (c) 243 (d) 2 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j + 4*j**2 + 3 + 2*j + 0*j**3 - j**3 + j. Let u be m(5). What is the common denominator of -5 and (-8 - -2)*u\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-2))\/(57\/(-38))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 83124 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 s(j) = 2829*j - 65065. Let u be s(23). Determine c so that -2\/7*c**4 + 0 + 0*c - 6\/7*c**u - 8\/7*c**3 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 + (-127 - -133).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-18)*-6 + (-10)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -301224?\nAnswer: 301230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 3*x + 6. Suppose 3*a - 10 - 2 = 0. Suppose 3*l + 4 = -4*s, -a*l + 0*l = 3*s + 3. Which is smaller: x or s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4245698 - 1\/2*z**2 + 2914*z = 0. What is z?\nAnswer: 2914","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4277 - 3373. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*k + 68*k - 257*k.\nAnswer: -347*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 213 - 247*w + 3*w**4 + 2*w**2 - 230 + 249*w in the form q*w**3 + n*w + j*w**2 + r + b*w**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 365 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15135147 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/13 - 150*l**2\/13 - 3264*l\/13 - 16184\/13.\nAnswer: -2*(l + 7)*(l + 34)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 18. Let m = 6.7 - u. Let j = 918 + -918.1. Which is the third smallest value? (a) -3 (b) m (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-3 - ((-11 - -23) + 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-1))\/z)**18\/(z**(2\/13)\/(z*z**4)))**(-50) assuming z is positive.\nAnswer: z**(8550\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 45271 divided by -45271?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 866500303 to the nearest 10000.\nAnswer: 866500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7425 - 23935 = 464*v - 16*v for v.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*q = -14, -5*h - 3*q + 16 + 13 = 0. Solve -5*b + 1 = -h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/15 and 2\/31 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 95664 and 8?\nAnswer: 95664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -303003 (base 11) to base 15.\nAnswer: -99519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 + 13. Let z = -30 + o. What is the highest common factor of 24 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a - 2*a**2 + a + (5*a - 3*a - 4*a)*(2 - 2 + 4*a) as f*a**2 + s + x*a and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1742533 - -354?\nAnswer: 1742887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -x - 2. Let u(j) = -2*j - 2. Suppose 2*v + v - 9 = 0. Let z(l) = 2*l + 1. Give v*u(s) + x*z(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 154066?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5 - 4 = -k, q - 19 = 4*k. Let o(d) = -6*d**2 - 4 + 7*d + 8*d**3 + 6*d**q - 20*d**3 + 7*d**3. Is o(5) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*t + 417. Suppose -759 = -3*c + t. Suppose -4*j = -y + c, -4*j - 2*y = 383 + 9. Round j to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w - 5*w - 6*w + 8*w**2 + 18. Is z(3) a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 10:01 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**4\/3 - 46*p**3\/3 - 112*p**2\/3 + 184*p\/3 + 160 = 0.\nAnswer: -20, -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3.78, 530, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4296 + 4351 - (-24 - 3).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from vfvffvvvffvffvvfvffv?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -8 + 30*i - 15*i - i**3 - 16*i - 6*i**2. Let y be z(-6). Let u = 3\/22 - -15\/11. What is the closest to -1\/2 in u, y, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3 - 8281*s**2 - 8280*s = 0. What is s?\nAnswer: -8280, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-6*((-88)\/(-16))\/11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 43, -5, -1, -657, 6 in descending order.\nAnswer: 43, 6, -1, -5, -15, -657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 448821494 to the power of 1\/2, to the nearest integer?\nAnswer: 21185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/10 - 2583*k**2\/10 - 1291*k\/5.\nAnswer: -k*(k + 1)*(k + 2582)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -2*n - 11 + 1, 0 = 3*t for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 391843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1468*o**5 + o**4 + 171*o**2 + 6*o wrt o?\nAnswer: -88080*o**2 + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (280\/35)\/((-11)\/(-264)*12).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1623382 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1952, -0.009, 268, 1, -3.\nAnswer: -1952, -3, -0.009, 1, 268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -14 + 1. Let t = w - -20. Let n = t - 1. 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: Suppose b = 4*a - 296, b + 67 = a - 7. Let l(m) = 75*m**2 - 17*m - 18. Let f be l(-1). Differentiate -6 + a*q**2 - f*q**2 + 4*q**3 wrt q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 38 + -7?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1523537 divided by -6.\nAnswer: -1523537\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 331261572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 88995524 from 5.\nAnswer: -88995519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 810193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13539 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v - 1. Let s = -11 + 15. Let r be i(s). Suppose 4*l = -r*m + 18 + 26, -4*m = -4*l - 40. What is the remainder when 35 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298430.2 rounded to the nearest one thousand?\nAnswer: 298000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -75272992?\nAnswer: 75272995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 65310341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3 = 2*w, -w + 15 = 2*o. Suppose j + 4*d = 34, j - o*d + 2*d + 2 = 0. What is the remainder when 33 is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -1\/4, -6, 2\/5, -2\/25, 17.6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316538938?\nAnswer: 2, 79, 2003411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, r: 3, u: 1, m: 2, f: 2, s: 2}. Give prob of sequence eue.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pfmv when four letters picked without replacement from vfvqmqffvpvfpqmoffmv?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1731.\nAnswer: 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7519*s + 3*c = -7516*s + 36, 0 = -45*s + 5*c - 220 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 991 + -988. Let i(r) = -5*r - 2. Let o(z) = -6*z - 2. Let t = -8 + 6. What is t*o(k) + w*i(k)?\nAnswer: -3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20\/25 - 72\/(-60). Solve -2*c - 4 = 2*z - 24, 4*c - 30 = -k*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 265928 and 0.3?\nAnswer: 79778.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*o + 21*o - 12*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/2317 + -4624\/11585. What is the closest to -2\/5 in -5, c, -3\/8, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73891650673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -18*y - 7. Give h(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 23*h + 132. Let l be j(12). Suppose l = -p + 2*x + 208, -6*p + 3*p + 2*x + 640 = 0. Is 18 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -78 + 90. Let h(x) = x**3 + 5*x**2 + x - 1. Let c be h(-3). Let v = c - t. Solve -v*r = r + 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29553.\nAnswer: 3, 9851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7160*g**3 - 5720*g**2 wrt g.\nAnswer: -42960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 74497306?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*l + 5*l + 71412 - 72573 = 0 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 - -40. Let p(u) = u**2 + 6*u + 7. Let i be p(c). Suppose -5*b - i*f + 211 = -81, -2*b = 5*f - 121. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -364 and -363 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -41287\/467 equal to -87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 649*h**5\/10 - 19*h**4\/12 + 41*h**3\/6 + 9*h**2 - 9*h. Let p be t(-21). Round p to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -397023, -397027, -397031, -397035, -397039?\n\"Answer: -4*g - 397019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.869 - -1.969. What is the closest to 0 in 2, m, -0.3, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108296 - 35714 = -4*i + 5*k, 3*k = -3*i + 107994. What is i rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/45)\/(3\/(-15))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 7*x**2 + 10*x + 467. Determine c(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (117530\/(-105))\/(-2*(-1)\/(-3)). Suppose 3*m + 2*p = -2*p + 1254, -3*p + y = 4*m. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ig when two letters picked without replacement from {f: 1, o: 1, g: 1, i: 1, h: 4}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 147410 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 6*r - 130 = 0. What is the second derivative of -6*s + 20*s**2 + r*s**2 - 64*s**2 wrt s?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 - -118. Let g = i + -21. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.43 * -5\nAnswer: -2.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 + 48. Let v(z) = 348*z - 348*z - z**o. Let b(w) = 17*w**2. What is v(b(a))?\nAnswer: -289*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-2*sqrt(512)*3)\/(sqrt(8)\/sqrt(2)*-1 - (sqrt(1728) + sqrt(48) - sqrt(48))\/sqrt(12)))**2.\nAnswer: 41472\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*f - 17*f - 90 = 0. Solve 14*z - f = 13*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 12. Let q be 2*((-21)\/(-6) + m). Which is smaller: 1\/4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 2:12 AM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + -56.393\nAnswer: -56.193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -206 - 71994905865.\nAnswer: -71994906071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-135)\/624)\/((9\/(-12))\/(-3)) and -53\/7.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b, 13 - 17 = -4*q - 5*b for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**3 - 15*u**2 - 138*u - 120 = 0. Calculate u.\nAnswer: -4, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 - 0.4. Let m = 3 - 2. Let q = m - 6. What is the nearest to -1\/2 in j, -3, q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24 + 0)*(-5)\/(-15). Suppose -7*r = -61 - 149. Let m be (1*(4 + r\/d))\/1. Which is the nearest to -2? (a) 1 (b) m (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 4706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 4*n**2 + 5*n - 1. Let u be h(5). Let w be ((-32)\/(-10))\/u + 5\/25. Sort 0, -5, 5, w in increasing order.\nAnswer: -5, w, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2007273.084 and -0.3?\nAnswer: 2007273.384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z + 347. What is the remainder when h(10) is divided by 100?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000069987 to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 9*p + 35. Let j be w(3). Solve 14*t - j = 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83157749911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.774988ml?\nAnswer: 0.000774988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 466 = -w, -3*g + 187 = -4*w - 88. Let h = 97 + g. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 6:30 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12000 (base 3) to base 2.\nAnswer: 10000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2144515 * 19.7\nAnswer: -42246945.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/3)*z*(z\/(z\/z**(-2\/3)*z))\/z)\/(z*z**(3\/4)*z*z**0) assuming z is positive.\nAnswer: z**(-61\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1710\/(-75) + 27)\/((-3)\/10) - -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 607381 is divided by 607372?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23940*q**2 - 28910*q**2 - 2505*q**2 + 14770*q**2.\nAnswer: -40585*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4985000*u**3 + 2003*u + 1321.\nAnswer: 29910000*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**5\/17 - 2*o**4\/17 + 52*o**3\/17 - 12*o**2\/17 - 18*o + 270\/17 = 0.\nAnswer: -5, -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o**2 + 32*o - 40. Let q be d(8). Is 17 >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + -9)*(17 + -18). Let g be j\/77 - 474\/(-14). What is the highest common factor of 374 and g?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**4 + 444*j**3 - 16428*j**2.\nAnswer: -3*j**2*(j - 74)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 660977*w**3 + 119*w - 58*w - 61*w.\nAnswer: 660977*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 6 - (4 - 2). What is the units digit of 7 - j*(-1)\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 21*h**2 - 612*h + 88. Calculate c(29).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -259 and -19457.163?\nAnswer: 19198.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c**2 + 15*c**2 - c**2)*(0*c - c + 3*c) + 0*c**3 - 2*c**3 + 0*c**3 to the form w*c**3 + r + i*c**2 + p*c and give w.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -910*q + m - 19 = -915*q, 2*m - 56 = -4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - -1. Let x(s) = -4*s**3. Let v be (-1 - 0)*1 + 42 + -38. Let d(k) = -k + 22*k**3 - 12 - 5*k**v + 11. What is q*x(l) + 2*d(l)?\nAnswer: -2*l**3 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.10594*-3.\nAnswer: -3.31782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-20) - 3\/5. Let b = g - -3. Suppose 3*u + b*h = 71, 4*h + 2 - 6 = 0. Solve 3*p = 2*p - 2*m + 4, 4*p = 5*m - u for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (282 - 284) + (2 - (4 - -2))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 84*n**2 - 17*n + 55. Let h be t(3). Suppose -3*s + 6*a + 459 = 4*a, 5*s = 5*a + h. Calculate the highest common factor of s and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2163 * -78435.\nAnswer: -169654905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1443 (base 6) to base 13.\nAnswer: 23a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 759 and 1192458.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 5*f - 25 = 0. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 29 = 9*u. Suppose -25*k - 220 = -u*k. What is the highest common factor of 22 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/(-1694)*11*(-5096)\/(-42)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21435250 + 3?\nAnswer: -21435243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -274.3942 to the nearest integer.\nAnswer: -274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0\/h*h*(h*h**(-5)\/h*h)\/h*(h**(-2\/5))**(-5\/3))\/((h**1)**(-42)\/(h**(-7)*h**7*h)) assuming h is positive.\nAnswer: h**(116\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 1:56 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 21*i**3 - 2*i**2 - 2*i. Let q(d) = 20*d**3 - 3*d**2 - 3*d. Calculate 3*p(t) - 2*q(t).\nAnswer: 23*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 638007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Simplify 0 + (-2 + sqrt(200))*1 + (sqrt(6) - -3*(sqrt(6) - sqrt(30)\/sqrt(5)))\/(sqrt(6)\/(sqrt(4)\/sqrt(2))).\nAnswer: -2 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1143 = 42*b - 33*b. Suppose b = 13*m + 75. Calculate the remainder when 88 is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -74*x - 7. Let i(k) = 3*k. Calculate h(u) - 4*i(u).\nAnswer: -86*u - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17625.2 + 17625. Which is the nearest to 8? (a) 1\/6 (b) n (c) 14\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 9*w**2 - 471*w + 2968. Calculate k(6).\nAnswer: 466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -3*k - 16, -165514*q + 165515*q + 22 = -10*k for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/2 (b) 4 (c) -49 (d) 1 (e) -0.5 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.015 and 80081.\nAnswer: 1201.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1077 = w + 3*t + 37, 5*w + 4*t = -5559. Let s = 4811 + w. Round s to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 1. Let y(o) = 4*o - 4. Let s(j) = -j**3 + 14*j**2 - j + 16. Let a be s(14). Let q(n) = a*y(n) - 7*h(n). What is q(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 8*x**2 - 37 + 14 - 10*x + 16.\nAnswer: -8*x**2 - 10*x + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 453.6*-97.\nAnswer: -43999.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s**3 - 129*s**2 + 1059*s + 180 = 0. What is s?\nAnswer: -12, -1\/6, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46577 is divided by 81?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*i**4*z + 8*i**3*z**3 - 2*i**2*z**2 + 6*i*z**3 + i wrt i.\nAnswer: 192*i*z + 48*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**4\/9 + 4*o**3 + 37*o**2\/9 = 0.\nAnswer: -1, 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1793923.6646 - -1794184. Let h = 259.8553951 - d. Let z = 0.48 + h. Round z to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/8*(-8)\/(-2). Suppose 0 = 4*h - 3*h - 5*b - 27, -b + 1 = 3*h. Suppose 10 = 4*l - h. Solve 3 = l*k - o*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/2436 and -5\/1392.\nAnswer: 9744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -3. Let m be (x + 0)*5\/10. Let d = 4 - m. Solve -d*z + 0*z + 24 = 4*b, z = b - 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*q + 11 = 0, -3*n = -8*n + q - 17. What is the nearest to 0.1 in 4, n, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6499 a factor of 298141625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -l*s*z - 8*l*x**2*z**3 - l*x*z**2 - 4*l*z**3 + 577*s*x**2*z - 19*s*x*z**3 - 34*x**2*z + 8*z**2 wrt s?\nAnswer: -l*z + 577*x**2*z - 19*x*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1630.474 rounded to zero decimal places?\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1559, -1583, -1603, -1619, -1631, -1639?\n\"Answer: 2*x**2 - 30*x - 1531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 6*v**2 + 5*v + 4. Let y be c(-5). Suppose -y*t - 5 - 3 = 0. Is -4 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -529 - -526. What is the closest to -1\/2 in -2, -5, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvdvvvvdvvdvvvvvvv. What is prob of picking 2 v and 2 d?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*(sqrt(135)\/(-6*sqrt(5)))\/((sqrt(9) + sqrt(441))*-6).\nAnswer: -sqrt(3)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 18*u**2 + 174*u - 12. What are the prime factors of s(-23)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 8:55 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and 2718.\nAnswer: 135.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 102 = -2*r. Let q = 39 - r. Solve 0 = 2*j - q - 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 5*p**2 - 2*p)*(2 + 14*p - p - 9*p).\nAnswer: -20*p**3 - 10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 5 = -2*t + 17, 31*g + 62 = -2*t + 34 - 104 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 71 + -29 + (-6948)\/180\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + x = 6*r + 39, 4*x = -884 + 880 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-five halves of a meter?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**2 + 2*t. Suppose 13*y - 6 = 3*m + 8*y, -3*m + 4*y - 6 = 0. Give h(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1234*b - 1234*b + 3701*b - 1237*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52568786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.074100346 and -5.\nAnswer: -0.37050173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 4*u - 5. Let p be z(4). Let t(y) = y**3 + 4*y**2 - y + 6. Give t(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 4, 1, -4, 2, -112015 in increasing order.\nAnswer: -112015, -12, -4, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-6)\/3 - 1131\/103) + (-45591)\/(-3507)?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/60 and 29\/1400.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/((-9)\/3) + 1. Let q be 2\/k - 3\/(18\/(-230)). Calculate the highest common factor of q and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 13*w + 22. What is q(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 11 = -a. Let f = -18 + a. Suppose 0 = -2*o + f*p + 9 + 35, 4*o + 4*p - 76 = 0. Solve -3*u - u - o = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 2\/59 (c) -22322\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1745*u + 8 = -2*y - 1751*u, 4*u + 0*u - 3*u - 4 = y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8999, -17391, -25783?\nAnswer: -34175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -20*b**3 - 2*b**2 - 1. Let l be y(-2). Suppose z = 3*z + a - l, 3*z - 207 = 5*a. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 15397929 and -41.7888.\nAnswer: 15397887.2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - sqrt(22)) + sqrt(22))\/sqrt(2)*4.\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 b when three letters picked without replacement from bhyptyyy?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 4*h**2 + 9. Let y be c(-4). Suppose 0 = y*x - 30*x + 1533. Calculate the remainder when x is divided by 29.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -39*l - 129. Let k be z(-3). Let r be 12\/8 - (-2)\/k*9. Solve -2*x + r*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a**3 + 19*a**2 + 5*a - 7. Let z be v(-6). Is -2\/11299 <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 258046100 rounded to the nearest one million?\nAnswer: 258000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 55509*q**2 + 53*q + 79.\nAnswer: 111018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 404 + -390 + (6 - (-5 + 5)) - 103\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.02 - -0.38. Let y = -11\/9 - -13\/9. Let q = 22 - 17. What is the third biggest value in y, w, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-21)\/(-4))\/((-6)\/(-112)) is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n + n - 3*n)*(1 - 820*n - 2 + 250*n + 1) to j + a*n**2 + m*n and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5 + 2*c - 2*c - c. Let u be 0\/(-1) + 4*-1. What is r(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 6*z + 1. Let u be 20\/(-6)*(-12)\/(-10). Let j(s) = 16*s**3 + s - 1. Let k be j(-1). Let r be 940\/180 - u\/k. What is b(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -n + 16. Let s(x) = -x**2 - 8*x + 3. Let m be s(n). Let a(t) = -2*t**2 - 11*t - 5. Let c be a(-5). Solve m*f + c*f = 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-10\/7)\/(b*b\/(b\/((b*b**4)\/b)*b*b)*b*b*b))**20 assuming b is positive.\nAnswer: b**(-1040\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m**3 + 33*m**2 + 16*m + 40. Determine u(-6).\nAnswer: 2428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + o - 40. Let p be m(20). Let t = -360 + p. What is the least common multiple of 20 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/18)*u*u\/((u**(-2\/85)\/u)\/u)*u**2\/((u\/((u*u**(-15))\/u))\/u) assuming u is positive.\nAnswer: u**(-13649\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9476012 to the power of 1\/3, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-6) + (-4700)\/30. Let f be (2\/(-8))\/(3\/y). Calculate the greatest common divisor of 91 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 16294.41 years?\nAnswer: 16.29441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*w - 11 = 39. Suppose w*s = -2*y + 38, 6*y - 9*y = 2*s - 53. What is the least common multiple of ((-4)\/6)\/(1\/(-18)) and y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1447, 1437, 1421, 1399?\n\"Answer: -3*c**2 - c + 1451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 3:15 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209*r**2 + 58*r**2 + 38*r**2 + 63*r**2.\nAnswer: -50*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 713960*z**2 - 1427915*z**2 + 713948*z**2.\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 0*f + f = 71, 3*h - 41 = -f. Let q = -11 + h. Solve q = -4*w - 8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2972564816 to the nearest integer?\nAnswer: 1438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - u = -2*b + 1404, -3*u - 5*b = -2110. Let t = u + -285. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**6\/120 + u**5\/15 + u**4\/6 - u**3\/2 - 8*u**2 - 6*u. Let c(g) = -g**3 + 3*g**2 + 3*g - 2. Calculate -4*c(r) + 3*d(r).\nAnswer: r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1064 or -1063?\nAnswer: -1063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -76 - -139. Is d a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 108 (b) -1 (c) -3\/4 (d) -17 (e) 5 (f) 2\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000089802 rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**5 - 750*g**4 + 90568*g**3 - 3457832*g**2 - 362304*g + 13843328 = 0. What is g?\nAnswer: -2, 2, 79, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**3 + 364*b**2 + 728*b - 33120 = 0. What is b?\nAnswer: -10, 9, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -75182 and 0.0108.\nAnswer: -75181.9892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 13*d + 55. Suppose 60 = -4*y - m, 62 = 4*m + 46. Let h be c(y). Solve 0 = -4*x - 2*a + 3 - 5, -x + h = -a for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 1. Let p = 6 - y. Solve 0*k - p*k - 4 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*d + 21 = -0*r, -r = -d + 15. Let y be 436\/24 - (-2)\/r. Suppose 2*n = 5*n - y. 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: Put -12, -4, 11, 3 in descending order.\nAnswer: 11, 3, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.1 (b) -2\/59 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/7)*k**43)\/(k**(-11\/3)\/k**(1\/47)) assuming k is positive.\nAnswer: k**(45658\/987)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33111 is divided by 40?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15 from -0.6.\nAnswer: -15.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) -1 (c) -9 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 70*z - 72. Let h be k(2). Suppose 100 = -3*n - n - 2*q, -3*n = q + 77. Let b = -10 - n. Calculate the greatest common factor of b and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - -338 - (0 + 1). Suppose 3*u = -6*b + 4*b + 167, 0 = 4*b + 4*u - p. What is the tens digit of (b\/15)\/(1\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/76)\/(45\/12)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 796510*i**3 + 67*i**2 + i - 1292075032 wrt i.\nAnswer: 2389530*i**2 + 134*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**3 + 2*g**2 + 2*g. Let r be i(2). Let z = -5.11 - -0.11. What is the second smallest value in r, -0.5, z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1705 at least -2270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * -61\nAnswer: 36.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4\/1001 + 125141\/4004. Let g = -31 + o. Is 1 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 3*d + 1. Suppose -3 = 3*a + 3*p, 4*a + 2 = 3*p + 5. Suppose -4*z - 2*r + 18 = -a*r, 15 = 2*z + 3*r. Calculate t(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 2*g + 1. Let l be y(2). Suppose 3*f + 182 = 170, -4*i + f + 12 = 0. Solve 3*z = i*z + l for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5146 by 303.\nAnswer: -5146\/303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**4\/4 - 2*p**2 + 15*p. Let d(i) = -2*i**2 - 3*i**2 - i**2 + 2*i**2. Give d(o(c)).\nAnswer: -144*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11\/3 (b) -1\/2 (c) -0.225 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 238\/(-22) - 2\/11. Let u = -9 - r. Solve 0 = -u*j - 0 - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 9*n - 6. Let f be k(8). What is the third derivative of -9*j**f - 45*j**5 + 23*j**5 + 12*j**5 + 17*j**5 wrt j?\nAnswer: 420*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 + 4 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35.16 + 0.16. Let z = d - -35. Let n be 10\/35 - 33\/(-7). Which is the nearest to z? (a) n (b) -2\/17 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h*v**3*y**2 + 2*h*v**3*y - 590*h*v*y + 2*h*v - 406002418*v**3*y**2 - v**3*y - 89*v**3 - 5*v**2 wrt y?\nAnswer: -2*h*v**3 - 812004836*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -77 + 10\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 88025 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/((sqrt(15)*2)\/sqrt(3)) + (sqrt(80) + -4 + -5)**2 + 1 + (5 + sqrt(180) + sqrt(180) + -1 - (sqrt(180) - (4 + sqrt(180)*-1))**2).\nAnswer: -570 + 73*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1115654.\nAnswer: 2, 503, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72 + 110. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/1*14\/(-21). Suppose -18 = -b*p + 5*p. Let g = -12 + 1. Let s(h) = 7*h - 7. Let j(m) = 13*m - 13. Determine g*s(a) + p*j(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 17 + -15 - 726\/10. Let q = j - -3052\/45. Is q bigger than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*s - 5. Let o(v) = v**3 - 2*v**2 + 4*v - 5. Let y be o(2). Solve 4*d = s*q + 22, y*q = -3*d + 4*q + 11 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25723000 to the nearest 100000.\nAnswer: -25700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.088 (b) 2 (c) 0.5 (d) -4\/7 (e) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 291 or 97?\nAnswer: 291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28656, -57314, -85972?\nAnswer: -114630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/40*(-238)\/51*2*-3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -21761612 (base 9) to base 12\nAnswer: -364a102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -421*c + 1205.\nAnswer: -421","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/8*(-20)\/(-35).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -681.5076556 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (77*24\/(-252))\/((-4)\/3)\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22469 + 111799\/5. Let q = -9323\/90 - b. Let o = 5917001\/1148940 - -2\/57447. Find the common denominator of q and o.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 7*g + 36. Let k be i(-5). Suppose 0 = 4*h - 336 - 1116. Let v(b) = -k + 0 + h*b - 364*b. What is v(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1825)\/(-10780) + (-15)\/(7 - -83) and -125\/12.\nAnswer: 6468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 0 + 4)*((-616)\/(-52) + -12). Let r(v) = -v**2 - 8*v - 9. Let h be r(-7). What is the nearest to -2\/7 in h, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -227, -563, -1189, -2201, -3695?\nAnswer: -5767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -3. What is the greatest common factor of w and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64704a (base 12) to base 10.\nAnswer: 1588090","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2 + 5*a**2 - 2*a**2 + 0*a - 3 - 4*a. What is the units digit of h(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8574 * 856.\nAnswer: -7339344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 6 = 10*m. Solve -4*k - 8 = -m*k - 2*d, -3*d = -4*k - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1638)\/24)\/(-13) - 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -547265, -1094484, -1641703, -2188922, -2736141, -3283360?\nAnswer: -3830579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -h - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -5. Let m be (1\/2)\/(7\/2). Let p = -14.8 - -15. Which is the second biggest value? (a) r (b) p (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -172356, -172357, -172358, -172359, -172360?\n\"Answer: -u - 172355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*2\/8 - 1164\/(-48). Let w = -1708 - -960. Is 25 a factor of z\/115 + w\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glal when four letters picked without replacement from {g: 2, a: 1, l: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**5 + 488*y**4 - 964*y**3 + 480*y**2 = 0 for y.\nAnswer: 0, 1, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 326\/7 - 47. Let n = -0.625 - 0.185. Let k = -1.11 - n. What is the second biggest value in -2\/7, 3, s, k?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 5:31 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 6*f**2 + 5*f - 7. What is h(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 45*y - 84. Let l be p(2). Which is the third smallest value? (a) -657 (b) l (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 + 19. Let k be ((-4095)\/52)\/((-2)\/z). Let g = k + 566. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 0.3, 3\/1801, -1\/4, 0.02?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**4 + 15*x**2 - 4 + 8 - 15*x**2 + x to the form a*x**2 + j*x**3 + l*x**4 + b + o*x and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4221101111 (base 5) in base 11?\nAnswer: -4a4a233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4394, -4436, -4570, -4850, -5330, -6064, -7106?\n\"Answer: -9*w**3 + 8*w**2 - 3*w - 4390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3231097 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28983914 - 28984464 + 57968378 + 9*z**2.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 254282?\nAnswer: -254287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 0*j = 4*x - 356, -3*j = -2*x + 188. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -17*o - 1. Let w be c(8). Let d = w + 150. Calculate the remainder when 46 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(2 + 429\/(-182)). Let l(m) = 12*m + 165. What is l(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*r = -148*r - 107*r + 11648 for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 + -21. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0)**(-18)\/(((v**(1\/4)\/v)\/v)\/v)**13)**(1\/5) assuming v is positive.\nAnswer: v**(143\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 = 43*l - 31 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -279*r + 209.\nAnswer: -279","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 5388492.1 to the nearest ten thousand.\nAnswer: 5390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.83 + 0.764. What is r rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 1\/2 (b) 0.2 (c) 0.72 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 5*f, 5*s - f - 4*f = -50. Let j(z) = 1 - 6 - z + 0*z. Let d(k) = 2 + 2 - 37*k + 38*k. Determine s*j(q) - 6*d(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1858.\nAnswer: 2, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1230492 is divided by 68332.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 330939325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -6 - 8*s + 2*s + 2*s. Let z be u(-4). Let o = 13 - z. Calculate the greatest common divisor of o and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40442883?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 - 1704*s + 19872.\nAnswer: 4*(s - 414)*(s - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 20\/3*o**2 + 1\/3*o**3 + 19\/3*o.\nAnswer: o*(o - 19)*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/5 - 16*j\/5 - 24\/5.\nAnswer: -2*(j + 2)*(j + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 6:23 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-9 + 19 + -9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (594\/88 - 6\/8)\/9.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 2*u**2 - 1. Let b be w(2). Let o be (3 + -2)*(1 + b). Suppose o = 3*i + 21 - 57. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -119024 divided by -34?\nAnswer: 59512\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -u, -4*u + 2*g = -2*u - 8. Solve y + 2*n = 8, u*y - 6*n + 11*n - 25 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 568347?\nAnswer: 3, 13, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 3*y**2 + 2. Let z(g) = 4*g**3 + 1. Suppose 3*n = -1 - 2. Let v be z(n). List the prime factors of l(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2 = 0, -5*r = -3*c - 13 - 5. Suppose -141 + 27 = -r*h. Suppose -g + 0*g + h = 5*w, 3*w - 2*g - 15 = 0. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 748 and 207383.\nAnswer: 829532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + l. Let v(i) = -2*i**2 - 5*i. Let s(k) = 5*n(k) + v(k). Let y(b) = -27*b**2. Calculate y(s(r)).\nAnswer: -243*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.1095461 and -7.\nAnswer: 21.7668227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 1:35 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3643 - 3651. Let k(v) = 3*v**2 + 24*v - 3. Calculate k(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-1))\/(-1 + -1750). Let s = z + 120817\/3502. Find the common denominator of 10\/(-18)*29\/2 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 6*t + 5*u + 347, u + 925 = 5*t. Suppose -5*x + t = x. What is the remainder when 180 is divided by x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.065897 - 140172.765897. Let g = r - -140243.6883. Let w = g - 74. What is w rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26671 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 - -35. Put 0.1, d, -4 in increasing order.\nAnswer: -4, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-25))\/(((-3942)\/180)\/(-73))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15120 (base 8) in base 14?\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 61007, 61150, 61293, 61436, 61579?\n\"Answer: 143*q + 60864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002640978 rounded to 6 dps?\nAnswer: 0.000264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-837375)\/406)\/(-275))\/((-290)\/8)?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 494.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -947*z**5 - 2161*z**2 wrt z.\nAnswer: -56820*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1320*o**3 + 85*o**2 + 4846586*o.\nAnswer: 7920*o + 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d**3 + 2*d**2 - 2*d - 8. Let y be g(-2). Let l be 30\/(-20)*y*(-2)\/(-6). Solve -4*c - 6 - l = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8176 greater than or equal to -8176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 55*287\/(-248460) - (5\/(-35) + (-5)\/(-84))?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -24, 1, -0.5, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-103)\/(-1854))\/((-3)\/(27\/(-4)))*2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4994447 to the power of 1\/3, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32130\/425)\/(63\/(-70)).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -181 + 188. What is the smallest value in -0.05, s, 2\/11?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 73536536 and 11115988?\nAnswer: 955974968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 7*t**4\/6 - 2*t**3 - 29*t**2. Let l(h) = 2*h**2 + 85*h - 36. Let i(u) = -2*l(u) + 7*o(u). Factor i(k).\nAnswer: -2*(k - 6)*(2*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -7.103861 and 39.\nAnswer: 31.896139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c + 510. Let r(u) = 150*u - 268*u + 119*u. What is r(v(j))?\nAnswer: -j + 510","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-8) - (-51)\/12. Let c(h) = -h**2 + h + 3. Let n be c(m). Let b = n + 13. What is the least common multiple of b and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 485*b + 39040. Give i(-80).\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at most 47.21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6864 + -4385. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 10 = -i + 2*y, -278 = -5*i + 133*y - 39*y + 2*y for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 6*m**2 - 2*m - 8. Let q be k(-5). Let w = q - -12. Let g(j) = 2*j**2 + 12*j + 3. What is the hundreds digit of g(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 682356 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 702803.7 litres to millilitres.\nAnswer: 702803700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(4\/5))**(-4)\/(((r*r**(-4))\/r*r)\/r**(-17)) assuming r is positive.\nAnswer: r**(-106\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25716, 51416, 77116?\nAnswer: 102816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23301\/1028 - 1\/3084. What is the common denominator of -2\/799 and v?\nAnswer: 2397","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*b - 7, 3*b - 8 = 29*l - 30*l. Solve 4 = -17*c + 14*c - l*o, o = 4*c + 13 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 920 is divided by 330?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59611, 119317, 179017, 238705, 298375, 358021, 417637, 477217?\nAnswer: 536755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 118, 212, 304, 394, 482?\nAnswer: 568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13736379 equal to -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 24547964.\nAnswer: 147287784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 20*i**2 + 154*i + 59. What is o(26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 26 = 4*b - 24, -4*c + 4*b = 4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -223 - -10?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (3 + -4 + -1)) + (-158 - -192)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-5\/2)*y)\/(y\/(y*y**(-9)\/y*y)))\/(y**(-2))**(6\/23))**(24\/11) assuming y is positive.\nAnswer: y**(-4956\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 139559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x**2 - x + 6. Let a(q) = 4*q**2 + 2*q - 6. Let c(b) = 5*a(b) + 4*g(b). Let t(w) = -7*w**2 - 11*w + 11. Calculate -11*c(p) - 6*t(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 843?\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g**2 + 11*g + 6. Let i(q) = -21*q**2 - 187*q - 21. Let c(d) = -2*d**2 - 16*d - 2. Let z(s) = -12*c(s) + i(s). Give -4*p(a) + 9*z(a).\nAnswer: 7*a**2 + a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 260 (base 13) to base 11.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 2. Suppose p - 3 = -r - 2*p, y*p + 5 = -3*r. Let f(l) = -3*l**2 - 4*l - 3. Give f(r).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2413777?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2 - 174*x + 58. Determine g(-87).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 140220567?\nAnswer: 140220565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**4\/5 - 264*w**3\/5 - 5796*w**2\/5 + 1056*w\/5 + 23232\/5 = 0. What is w?\nAnswer: -44, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 653251592.\nAnswer: 2, 7, 31, 376297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 898 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**2 + 3*f**2 + 2*f**2. Let b(c) = -16*c + 9. Let p(t) = -339*t + 189. Let x(y) = 105*b(y) - 5*p(y). Give o(x(j)).\nAnswer: 675*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (48 + -9 - 41)*(-12)\/2 + -31\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 50.36388 litres?\nAnswer: 50363.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 21 = -3*t, j - 3 = -t - 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k - 1. Let u(d) = -13*d - 226. Let y(l) = -u(l) - 2*x(l). Let p be y(-12). Suppose 0*q**2 - 2\/11*q**3 + p*q + 0 = 0. What is q?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-2\/5))**(-8\/9)*(f*f**(3\/4))\/(f*(((f\/(((f*(f\/(f**(1\/9)*f))\/f)\/f)\/f))\/f)\/f)\/f))**(-1\/35))**(-2\/49) assuming f is positive.\nAnswer: f**(179\/154350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 5*a**3\/3 - 2*a**2 - 9*a - 21. List the prime factors of l(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239003?\nAnswer: 17, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036\/11 bigger than 95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-148)\/(-370))\/(6\/20).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 55*a**3\/6 - 3896*a**2\/3 - 37117*a\/6 + 8045\/3 = 0. What is a?\nAnswer: -5, 2\/5, 1609\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**2\/5 + 7467*u + 37334\/5 = 0.\nAnswer: -37334, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of t**6\/75 + 223*t**5\/30 - 93*t**4\/20 + 22*t**2 + 5*t. Suppose r(l) = 0. Calculate l.\nAnswer: -279, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 16*a**2 - 15*a + 10. What is v(-14)?\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t - 5. Let x(u) = -u + 1. Let m(v) = -2*v + 2. Let b(d) = 3*m(d) - 5*x(d). Determine -11*b(p) - 2*y(p).\nAnswer: 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12037 + -12031. Solve 5*y = 9*f - 12*f + 16, -2*y + 5*f = j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 3*l - 2*l**2)*(1 - 3 - 1)*(0*l + 7*l - 3*l) - 2*l**3 + 4*l - 4*l.\nAnswer: 22*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/198 + (-50)\/6)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-48)\/10*(-30)\/9. What is the common denominator of -71\/2 and (-408)\/b + 2*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 1168*n + 240. What is the thousands digit of l(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*p + 583 = -27*p - 595 - 1622 for p.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 5:09 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**17)\/b)**38\/(b**(-9))**(-1\/24) assuming b is positive.\nAnswer: b**(-5171\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 0 - 1\/120*s**5 - 7*s**2 + 0*s**3 + 0*s + 1\/144*s**4. Factor l(k).\nAnswer: -k*(3*k - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/22 - 73\/803?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/2, -2\/11, -1.5, -669, 0, 0.2, 5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7 + -9 + 15)\/(2\/10). Let r = 69 - y. Suppose 11*a = -r*a + 750. What is the remainder when a is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4 = 1. Let h be ((-1)\/n)\/(3\/(-18)). Suppose -a + 94 = l, h*a - 5*a = -3*l + 252. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21208811 is divided by 1178266?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4325*2.2.\nAnswer: 9515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133450*l**3 + 8 - 133479*l**3 - 8.\nAnswer: -29*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 141827956?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-25316)\/(-32) + (-4)\/32. What is i rounded to the nearest 10?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 12:59 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, -0.06, 2\/3, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 3*t - 15, -2*t + 10 = -4*i - 0*t. Suppose -37*c + 5*c + 1472 = i. Calculate the greatest common factor of 161 and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7634062 = -57*i + 7632010 for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b. Let k(m) = -53*m**2 - 11. Suppose -4*r - 21 = 4*x - 7*r, 0 = x - r + 5. Let n(h) = 28*h**2 + 6. Let s(c) = x*k(c) - 11*n(c). What is a(s(z))?\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 9*k**2 - 10*k + 7. Let j be b(8). Let d = 5 + j. Sort 0.1, 4, d in descending order.\nAnswer: 4, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 - -55. Solve -2*a + 4 + q = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 200 + -92. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -4\/1450371?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**2 + 28*j + 34. Let a = 9 + -4. Let f(t) = 2*t**2 + 19*t + 23. Let z(h) = a*w(h) - 7*f(h). Let y(b) = 7*b + 36. Let u be y(-6). What is z(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/440 and -1\/52?\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 608177082 and -4.\nAnswer: 608177078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3288301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 651792.\nAnswer: 2, 3, 37, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 54, 73?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 - 103*q - 1320. Let v be l(-28). Let r = -0.1 - -0.1. Put v, r, -0.5, 1\/4 in descending order.\nAnswer: 1\/4, r, -0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 174\/7 (c) -5 (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/1304, -3, 11, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343126818?\nAnswer: 2, 3, 1109, 17189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 843 by -281.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*o = 12*o - 1404. Calculate the least common multiple of o and 135.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(13) + sqrt(13) + sqrt(13) + 2) + sqrt(65)\/(-3*sqrt(5)) + -2.\nAnswer: 6 + 35*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -2515?\nAnswer: -2513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97077 is divided by 260.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2822075, -2822064, -2822053, -2822042, -2822031, -2822020?\n\"Answer: 11*r - 2822086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 48d?\nAnswer: -48a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 169 + -18. Let y = -151 + a. Which is smaller: y or -6\/41?\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8675, -17352, -26029, -34706, -43383, -52060?\n\"Answer: -8677*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4\/3 (b) -7 (c) 15.6 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 75 = 3*r + 27, -471 = -5*a + 2*r. Let v = -13 + a. Calculate the highest common factor of v and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88825733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2404*t - 157 = 1870 - 614 + 991 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -72, -36, 128, 420, 840, 1388?\n\"Answer: 64*g**2 - 156*g + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29382343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10100111110111100011110 (base 2) to base 15\nAnswer: -739c87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-1)\/3*(-2)\/((-140)\/(-42))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a**3 + 0*a**3 + 3*a**2 + 0*a**2 - 2*a**2 + a. Suppose 374 = 117*w - 328. What is the least common multiple of k(2) and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**3 + 137 + 96 + o - o + 19 + 2*o**4 - 2*o**2 to i + j*o**4 + w*o**3 + b*o + x*o**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 9:19 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (1 - (-6)\/(-3)). Suppose j - 4 = 0, -3*j + 31 = k*x - 1. Suppose 0 = 2*r - 24 + 8. Calculate the remainder when r is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70 + 701\/10. Let s = -67 - -71. Let j be (4\/(-20))\/(s\/20). Is j > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vew when three letters picked without replacement from wwaqffev?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -11. Let m be 3 - 3 - (-4)\/2. Let u(r) = q*r**m + 0*r - r + r. Let i(y) = -5*y. What is u(i(o))?\nAnswer: 50*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 145.92 - -24.38. Let q = s - 170. Sort 35, -2, -2\/5, q in decreasing order.\nAnswer: 35, q, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3662412 (base 8) to base 9\nAnswer: -1806856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1)**(2\/9)*(i*i**(-1))**(-2\/65))**(-2\/97) assuming i is positive.\nAnswer: i**(-4\/873)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**3*z**2 + 3655*i**3*z + 2754*i**3 + 1370*i**2 + 4357*z**2 wrt i.\nAnswer: 12*z**2 + 21930*z + 16524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 15 + 6 = 0. Is n even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**2 - w - 5. Determine q(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*c**4 + 143*c**4 + 51*c**4 + (2*c - 2*c + 2*c)*(-5*c**2 + 15*c**2 + 0*c**2)*(0 - c + 0) to h*c**4 + j + l*c + n*c**2 + p*c**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 0*v - v)*(1361 - 1361 - 21*v) + 7*v - 2*v**2 - 17*v + 3*v**2.\nAnswer: 43*v**2 - 10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 535.023963 to 1 dp.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 518420 - 212*g**2 - 230*g**2 + 2072*g**2 + 5*g**3 + 136045*g + 0*g**3.\nAnswer: 5*(g + 4)*(g + 161)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 6*v**2 - 2*v + 14. Let z be o(6). Suppose l + z*l = -18. Let b(f) = -f**3 - 5*f**2 - 2*f - 14. Let d be b(l). Solve 0 = -5*y + 9 - d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -332950.51 or -6?\nAnswer: -332950.51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**2\/9 + 1038*u - 260008\/9 = 0?\nAnswer: 28, 4643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 12*i**3 - 5*i**2 + 8*i + 1. Let x(g) = 8*g**3 - 3*g**2 + 5*g + 1. Determine -5*d(w) + 8*x(w).\nAnswer: 4*w**3 + w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and (-74)\/(-5) + 4\/20*1.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2297\/30 + -482\/5. Find the common denominator of -33\/116 and b.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**5\/60 + 5*v**4\/4 - 29*v**3\/6 + 288*v**2. Let q(u) = 0. Calculate u.\nAnswer: 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 3) in base 8?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -a + 7, -a + 12 = 2*y + 2. Solve -a*g - 5 = -9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + -5.1. Let y = 555\/2 - 43849\/158. Let t = y + 93\/553. Which is the closest to -1\/5? (a) t (b) i (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*o**4 + 3*o**3 - 23*o - 31*o + 0*o**3 wrt o.\nAnswer: -552*o**2 + 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/7 (b) 0.4 (c) 1\/6 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(75))\/sqrt(5) - sqrt(30)\/sqrt(2)*-5)\/((-2*sqrt(55))\/sqrt(11) - sqrt(15)\/sqrt(3)*-3).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 n, and 1 j when three letters picked without replacement from mssrgjn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 - 0.5. Suppose -13*t = t + 42. Let z(g) = 6*g + 6. Let m be z(t). Which is the nearest to m? (a) x (b) -1\/2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 165, 328, 493, 660, 829?\nAnswer: 1000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 84964403 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*b - 133, 93*b - 88*b + 77 = 2*g. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11466 and 17829.\nAnswer: 3244878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 5 = 0, g - 12 = 4*g - 3*b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 9*n - 8 + 4 = 0, -3*n = 4*v - 0*n - 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-74)\/(3 - (2 - -2)). Suppose x = -5*s + 3*x + m, 2*x = -4. Suppose -2 = -u + s. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-5 - 2)) + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -52873.621 to the nearest 10.\nAnswer: -52870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -213*x**2 - 27*x**4 + 2 + 101*x**2 + 112*x**2 + 2*x**3 + x**3 to the form w*x**4 + r*x**2 + d*x**3 + o*x + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -9 + -1 + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4)*z\/(z*(z*z*z\/z**(1\/14))\/z)*z)\/(z*z**(-3)\/z*z**12) assuming z is positive.\nAnswer: z**(-195\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (343 - 339) + -31 + -1\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 6*r**2 + 2. Let s be p(-6). Suppose 4*v = -w + 12, s*w = 6*w - v - 14. What is the greatest common factor of 12 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**5)\/x*x**2)**(-11\/4)\/((x*x\/((x*x**(-1\/4)*x)\/x*x))**(-2\/47))**46 assuming x is positive.\nAnswer: x**(-1011\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -c - 53, -3*g - 85 = 4*c + 104. Let m = -27 - c. What is the greatest common divisor of m and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50904)\/5656)\/((-1*(-2)\/(-20))\/((-29)\/(-87)))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 z when three letters picked without replacement from {z: 11, h: 1, d: 6, j: 1}.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -251 + 251.4. Which is the second smallest value? (a) p (b) 0 (c) 84 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*y - 51*y + 9400 = 15*y + 85*y for y.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 11*a**2 + 5*a - 5. Let s(j) = 70 + 8*j - 37 + 16*j**2 - 41. Determine -8*l(u) + 5*s(u).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*y + 167 = -373. Solve 3*g = -0*g - 15, y*v - 27 = 3*g for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-9)*3\/(-2). Let r(u) be the first derivative of 8*u**3\/3 + u**2\/2 + 1. Is r(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.01585 and 8\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/7))**35)**(3\/19)\/(x**(-1\/6)\/(x*(x*x\/x**(1\/7)*x*x)\/x)*(x*x\/(((x\/(x\/((x**(-1)*x)\/x*x)))\/x)\/x*x)*x)**(2\/105)) assuming x is positive.\nAnswer: x**(9451\/3990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**4\/12 - 5*h**3\/6 - h**2\/2 - 4*h. Is v(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 57\/21 - (5 + -2). What is the fourth biggest value in k, 2, 0.4, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/(-4068))\/(189\/(-42))*-1*2.\nAnswer: -2\/339","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 1. Let j(l) = -l**2 + 1. Suppose -4 - 6 = 2*d. Let t(h) = d*k(h) + 2*j(h). Factor t(m).\nAnswer: 3*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -550 + 1056 = -17*l + 761 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 162, 489, 1056, 1881, 2982, 4377, 6084?\n\"Answer: 3*w**3 + 102*w**2 + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -21, -15, -9, -3, 3, 9?\n\"Answer: 6*i - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -14 (b) 12\/13 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 868\/25 - 125471\/3675. Calculate the common denominator of r and 139\/168.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84\/(-21) - (-1092 - -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42721 rounded to the nearest one hundred?\nAnswer: -42700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10954123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.611 + 27.592.\nAnswer: 22.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/3070000 and 101\/800.\nAnswer: 6140000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**6 + 7136*n**4 - 11*n**3 - 1255885*n**2 wrt n?\nAnswer: 240*n**3 + 171264*n - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1786*y = 1882*y + 313 - 409 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5 + 2334*j**2 + 8821*j + 1 - 6 - 1087*j**2 wrt j.\nAnswer: 2494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lree when four letters picked without replacement from ljjjeenerrr?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6494350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 313 and 585.81?\nAnswer: 183358.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 28. Suppose 5*s = s + f, -3*c - 5*s = -82. Suppose -2*q - c = -3*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - 2*t. Suppose -11 = p - r, -165*p + 5 = -163*p + r. Sort t, -41, p in increasing order.\nAnswer: -41, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -918 divided by -3\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrra when four letters picked without replacement from {r: 18, a: 1}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2443*k - 57. Is n(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 2*t**2 + (-3 + 3 - 2 + (-1 + 3 - 5)*(-4 + 5 - 3))*(26*t + 26*t - 57*t + (0*t + 4*t - 2*t)*(-2 - 2 + 5))*(1 - 2*t - 1).\nAnswer: 22*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -355435152*h - 244019048.\nAnswer: -355435152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 109166 + -109084.581. Let q = k + 1.881. Round q to the nearest integer.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20\/3 or 66\/25?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 12. Let l = -0.2 + 0.3. Let w = l + 0. Which is the nearest to w? (a) -2 (b) k (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.653 and -488419.\nAnswer: -488419.653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -125, -211, -317, -449, -613?\nAnswer: -815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13292480\/323 or 41153?\nAnswer: 41153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of (1 + -1 + 567)*224\/336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.4 * 0.2\nAnswer: -1.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1519*j - 1 + 909*j + 1 to the form l*j + p and give l.\nAnswer: -610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2831, 2829, 2827, 2825, 2823?\n\"Answer: -2*d + 2833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.16+-8421212\nAnswer: -8421211.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 26 - 3*s**2 + 6*s**2 - 26. Let w(m) = -13*m**2. Give k(w(z)).\nAnswer: 507*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 5*p + 294. Is 31 a factor of n(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lggg when four letters picked without replacement from {p: 2, l: 8, t: 2, g: 6}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -152, -148, -142, -134?\n\"Answer: x**2 + x - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 183*p**2 - 183*p**2 + 9*p**5 + (-2*p**5 - 4*p**5 + 4*p**5)*(-1 - 2 + 2) - 8*p + 8*p + 4*p**5.\nAnswer: 15*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -79*t + 17. Let z = 25 + -31. Is s(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12321 divided by -784?\nAnswer: -12321\/784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 1:19 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n**2 + 7*n + 7. Let i(q) = -q**2 + q + 1. Calculate -42*i(j) + 6*p(j).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 3:52 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.12, 3, -1\/323, -3 in decreasing order.\nAnswer: 3, 0.12, -1\/323, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 1)*(620\/40 - 16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 94?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 0)*(-1 + 5 - 1)*(-2 - 12 - 6)*(-2*o + 2*o - 2*o)*(2 - 5 + 1) to u*o + z and give u.\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 1. Let b(n) = 2*n - 6. Determine -b(m) + 4*f(m).\nAnswer: 2*m + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8610, -17209, -25804, -34395, -42982, -51565?\n\"Answer: 2*g**2 - 8605*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (105 + -29 - 25).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 72*y - 55 - 17 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(21) + sqrt(21)*3 - sqrt(21))\/sqrt(7) + sqrt(3) + 1)*-3*2 + -4)**2 + 5.\nAnswer: 480*sqrt(3) + 1833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 27*c + 1153. Calculate j(-50).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/24*((-10)\/(-30))\/((-33)\/1056)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 0.374.\nAnswer: -4.626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5688786 milligrams to nanograms.\nAnswer: 568878.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 8*l**3\/3 + l**2\/2 + 4*l + 12. Let q be j(-4). Suppose -16 = 4*y - q. Solve -16 = -p - 5*x, p - 3*x = -3*p - y for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 430374 divided by -21\nAnswer: -20494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5688.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10112221211 - -2120?\nAnswer: -10112212021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -38. What is the closest to 0.1 in 1\/3, 0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**4 + 8*w**4 + 9*w**4)*(9 + 72 - 639 - 69 - 171).\nAnswer: -15162*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2119*h**2 + 107*h. Let q(b) = 11*b + 2. What is q(v(y))?\nAnswer: 23309*y**2 + 1177*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1886608*v**3 - 361437*v + 1?\nAnswer: -11319648*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83, 129, 189, 251, 303, 333, 329?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 312 and 468?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2173*j - 6528*j + 2181*j - j**3 + 2173*j + 4*j**4 - 13*j**2 + 4 - 7*j**3 to f*j + s*j**2 + i + r*j**3 + u*j**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2186449200 rounded to the nearest one million?\nAnswer: -2186000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)\/sqrt(3)*-6 - sqrt(22)) + sqrt(22))\/sqrt(11)*-3.\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 2\/5 (c) 148 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 t when two letters picked without replacement from {x: 1, f: 1, i: 1, t: 3, q: 2, n: 3}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2))**(-25) assuming f is positive.\nAnswer: f**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = j - 0*j - 103, -2*j = 5*s - 281. Let t = 130 - j. Let i(a) = 5*a - 1. Let v(f) = -21*f + 4. What is t*v(u) + 9*i(u)?\nAnswer: 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-109 - 159 + 218)*(30*g - 6*g - 2*g) as x*g + h and give x.\nAnswer: -1100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2*b + q - 6, -2*b - 4 = -2*q. Let r = 2 + 3. Suppose r*i + b*i - 20 = 0. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 309062 = -3*c, a + c + 47544 = -14262. What is a rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, j: 6, p: 1, f: 4, k: 1}. Give prob of sequence tfk.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(2\/(-3) - -2). Let v = 131 - 111. Let z be 42\/(-105) - (-3)\/v - -1. Put 2, z, t in increasing order.\nAnswer: z, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10926 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -140652 less than or equal to -140580?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 91, 175, 293, 451?\nAnswer: 655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11469 is divided by 1009.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-60) + (-1040)\/350?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 17 = 3*o + 2*o, 2*o - 3*q = 4. Suppose -5*z - 5*v = -z - 26, -o*z + 22 = v. Put -9, 1\/12, z in ascending order.\nAnswer: -9, 1\/12, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*v + 40 = 136 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-70)\/(-10)*4\/14. Suppose g*w + 1 = -5*v, 3*w - v = w + 29. Suppose -3*d = -w*d + 621. Is d a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4 = 5*x - 30, -x + d + 1 = 0. Suppose 9*v = x*v + 20. Find the third derivative of 25*b**3 - 3*b**3 - 22*b**2 - v*b**3 wrt b.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -151.307? (a) -3\/5 (b) 4 (c) -2\/5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -8*b**3 - b**2 + 2*b. Let w(t) = -23*t**3 - 2*t**2 + 6*t - 1. Calculate -8*o(x) + 3*w(x).\nAnswer: -5*x**3 + 2*x**2 + 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 0, 3, -5, -2 in ascending order.\nAnswer: -8, -5, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/15? (a) -0.2 (b) -2\/9 (c) -457 (d) 10 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*y + 103, -49 = -y - q + 5*q. Suppose 4*u - 90 = -m, -2*u + m + 15 = -y. Calculate the remainder when u is divided by (16\/8)\/(1\/6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.47 and -1666.962724962.\nAnswer: -1664.492724962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + 12\/4 - -5. Suppose 17 = c*k - 7. Let l(r) = -2*r - 5*r + k*r - 1 - 3*r**2. Determine l(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -32. Suppose 3*i - 27 = 3*t, q*t + 4*i = -3*t. Let v(h) = -h**3 - 2*h**2 - 4*h + 6. What are the prime factors of v(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -5*h**4\/4 + 7*h**3\/3 + 2. What is the third derivative of u(x) wrt x?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**16*k)\/k*k**30*(k*(k**15\/k)\/k)\/k*k\/k**(24\/7))**(-2\/7) assuming k is positive.\nAnswer: k**(-792\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*n + 41*n**3 - 71*n - 667*n - 19*n**3.\nAnswer: 22*n**3 - 754*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (32340\/(-164395))\/((-8)\/(-4636))?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 13. Suppose 3*r - 5*r = 5*a + 25, 4*a + 13 = -g*r. Is -6 <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 400? (a) -4 (b) -1 (c) -1\/3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65708.\nAnswer: 2, 16427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(272) - sqrt(17)) + -4 - (sqrt(17) - 1*sqrt(85)\/sqrt(5))) + (-3 + (sqrt(425) - (sqrt(425)*-3 - sqrt(425) - sqrt(425))) + -3)**2.\nAnswer: -378*sqrt(17) + 15360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4003159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-413)*18\/15*18\/(-54)?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76402 + 450*s - 4*s - 76402.\nAnswer: 446*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44\/9 + 2*a + 2\/9*a**3 + 8\/3*a**2 = 0.\nAnswer: -11, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-198)*(-392)\/343*21\nAnswer: -32\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -287 or -331?\nAnswer: -287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-135)*100\/(-30)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/281 - -291\/1405. Suppose 0 = -0*d + 2*d - 4. Suppose 0 = -3*c - d*c + 5. Is i greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0*y - 6 = 3*y, 4*y = 3*x - 8. Suppose 0 = 4*a - x*a - 12. Suppose a*v = 5*b - 6 + 27, v - 5*b = -3. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/((-5)\/132923) + 0. Let w = 21001603\/158 + h. Let q = -3\/79 + w. Which is the nearest to 0? (a) 2 (b) -1\/2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1190 divide 31726550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ucaa when four letters picked without replacement from {y: 1, a: 2, j: 1, c: 2, u: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93 and 701279303?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77 + 51. Let m = 80 - j. Is m a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.33 - 4616965849.\nAnswer: -4616965843.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 41 + 4. Let g = k - 13. Solve 0*t = g*t + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -292 + 242*d**2 + 7 + 280 + 3286*d**4 wrt d?\nAnswer: 78864*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -47 - -39 - (-993 - 0) is divided by 76?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15957?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 505443?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -0.45, 6\/67 in increasing order.\nAnswer: -3\/2, -0.45, 6\/67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*i**5 - 110*i**4 + 384*i**2.\nAnswer: 180*i**2 - 2640*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, b: 5, m: 3}. What is prob of sequence mzmm?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17265 and 2355?\nAnswer: 2710605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 4*t + 9. Let l be (64\/(-5))\/4*5\/(-2). What is the remainder when k(l) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1393977140?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z + 8. Let y be r(-6). Suppose 0*u - y = -3*g - u, 0 = -5*g - 5*u + 10. What is the greatest common factor of 54 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 949601 by 1219.\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from 151.835384.\nAnswer: 152.235384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -49912 - -1?\nAnswer: -49911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1647274 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-35) + 108\/(-14). Let x be (5\/(-2))\/(2\/y). Let q = -5 - -9. Solve q*s - 2*s - x = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + (-2*sqrt(1216) - sqrt(1216)))*-6*-4.\nAnswer: -2880*sqrt(19) - 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-976)\/(-120)*335\/536.\nAnswer: -61\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7470615*f**3 - 7*f**2 + 905026*f wrt f.\nAnswer: -44823690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 42247\/12 or 3520?\nAnswer: 42247\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 508\/18565 - -6\/395. Which is the closest to 2? (a) l (b) 5 (c) 0.3 (d) -0.27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**5\/60 - p**4\/3 + 5*p**3\/6 - 2*p**2. Let l = 137 + -130. Give c(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -10\/704871?\nAnswer: -10\/704871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -22. Suppose q*l - 11 = 309. Calculate the least common multiple of 126 and l.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1275) + (sqrt(1275) - (sqrt(1275) + (sqrt(1275) - 2*sqrt(1275)))) - -2*sqrt(1836))\/((sqrt(432)*-2 + sqrt(432))*3).\nAnswer: -11*sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5349 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-12)*(-34)\/289.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133261362?\nAnswer: 2, 3, 13, 63277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-7)\/3)\/(-7))\/((-7)\/6)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 45947 (base 14) to base 9\nAnswer: 277102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a + 22. Let f be j(4). Let l(q) be the third derivative of 0*q + q**f + 1\/3*q**3 + 5\/24*q**4 + 0. Calculate l(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28994, -32012, -35030, -38048?\nAnswer: -41066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 5) in base 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*y - 26*y + 6*y + (y - 5*y + 5*y)*(1 + 0 + 1) - 3 - y + 3.\nAnswer: -26*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20312133 + -13?\nAnswer: -20312201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -280*u - 39775. Calculate g(-140).\nAnswer: -575","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-697*w**2 + 193*w**2 + 256*w**2)*(w + 3*w - 2*w + (4 + 4 - 4)*(4*w - w + w)) to the form p*w**3 + u + f*w + a*w**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 280?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 190 = -5*s, 22796*s - 22795*s = 2*k - 23 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 2*f - 7. Let w be r(-5). Let o = 319 - 44. Let y = o - w. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*u + 143*u + 173*u - 497*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*b*i**3*p**2 + 6*b*i**3*p - 38*b*i**2 + 6*b*i*p - 2*b*i - 4*i**3 wrt p?\nAnswer: 10*b*i**3*p + 6*b*i**3 + 6*b*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ew when two letters picked without replacement from {q: 1, c: 3, e: 3, r: 1, w: 8, h: 3}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (15\/25 - (-36)\/(-10))\/((-7)\/36281)?\nAnswer: 3, 71, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 25200 = -4*w, -w = -0*w + j - 6294. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 - 371 = 291*i + 2198 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 102.42 * 1.2\nAnswer: 122.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-63)\/(-14)*(0 - 2). Let v be ((-6)\/q)\/((-4)\/(-42)). Suppose -2 = 4*i - 3*z, -i + 4*i + 2*z - v = 0. Which is greater: i or 3\/11?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 907542759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 100.53722 rounded to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87678368?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -7. Suppose 4*l + 18 = 2*w, -3*l - h = w + 3. Suppose 0*r + 13 = 5*d - w*r, -4*d - 2*r = -6. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 835*v**2 + 831*v**2 - 1667*v**2 - 1 + 1. Let n(b) = 153*b**2. Give l(n(w)).\nAnswer: -23409*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9490 + 13043. What are the prime factors of m?\nAnswer: 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -879809?\nAnswer: 879812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u - 1 + 6*u**3 + 18*u**4 - u - 20*u**4 in the form c*u**4 + w + i*u**2 + v*u + z*u**3 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*7\/(567\/(-18)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 - 111 = -2*n. Suppose 2*z + 2*r = 4*z + 12, -4*z - 54 = 2*r. Let w(f) = -4*f - 20. Calculate the remainder when n is divided by w(z).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20.4 - 21.321. Let m = -0.9 - f. Round m to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-199 - 379 - 469 + 12 + 16)*(0 + 0 - 3*p).\nAnswer: 3057*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1516530 (base 7) to base 13.\nAnswer: 72c48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2992949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/7, 1\/3, -2\/5, 0.625, -2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 757, 744, 827, 1054, 1473, 2132, 3079, 4362?\n\"Answer: 8*b**3 - 69*b + 818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -7*z + z. Suppose 0 = 2*k - z*k + 10160000. Round k to the nearest 100000.\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -14*r - 27 - 4*r**2 - r**3 + 28 + 14*r. What is l(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -8. Let r = 7282 - 7284. Let j = 0.08 + 4.92. What is the nearest to r in 1\/2, j, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times 6.816\nAnswer: 0.20448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 103047 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80560 by 212.\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 3. Let c(f) be the third derivative of -f**8\/1680 - f**7\/5040 - 11*f**5\/20 + 38*f**2. Let n(o) be the third derivative of c(o). Calculate n(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ece when three letters picked without replacement from {c: 16, e: 4}.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3310*j + 3301*j = 18 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47683?\nAnswer: 41, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 14*w - 17. Let x be j(-9). Let h = -61 - x. Suppose 2 + h = t + 5*f, 0 = 2*f. Solve 0*a - 12 = t*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-6))\/(4\/(-24))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -9*a**2 - 36*a. Let s(o) = -o. Suppose -115*h = -119*h - 2 + 14. Give h*g(m) - 108*s(m).\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(-4)\/6 + 8. Suppose 0*p + 5*p + b = 0. What is the tens digit of (-32)\/p + -6 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 66.71989 micrometers?\nAnswer: 0.00000006671989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51 + -31. Suppose 4*f = 4*c, 3*f - 7*f = -d. Suppose -3*n + 21 = -2*t, n + c*t = 6*n - 40. Do 11\/2 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 673 + 102601?\nAnswer: 103374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5418 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 common denominator of 55\/4956 and 131\/687468?\nAnswer: 4812276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(80\/12))\/((-6)\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 8 - 24 - 5*m + 20. Let l(k) = -7*k + 6. Suppose 22 = -4*r + 2. Calculate r*l(v) + 8*u(v).\nAnswer: -5*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1069 at least 18\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 573969 and 264?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 + 46. Suppose 5*d = 6*d - k. List the prime factors of (3 - 5)\/(d\/(-78)).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 35?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/((-238)\/85) - 339*1. Let i = x - -368. Solve -4*p - 21 = -8*p - 3*h, 4*h - i = -4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1490150965 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -7541*b - 29818. What is h(-4)?\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ikf when three letters picked without replacement from dddkkfokfyfkfiokod.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 1283*d**4\/4 - 2445*d + 3956. What is the derivative of t(w) wrt w?\nAnswer: 3849*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 2:58 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7695 - -7697. Which is the nearest to 0? (a) 40 (b) 5 (c) o (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -6068*h**2 - 36*h + 4327. Let i(y) = -18206*y**2 - 99*y + 12981. Let f(l) = -4*i(l) + 11*k(l). Differentiate f(s) wrt s.\nAnswer: 12152*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -15 + 3\/(-12) + (-2)\/(-8). Is 3 a factor of (p\/(-25))\/((-1)\/(-10))*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48 - -23. Let p = 5 - n. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15\/2*m**4 + 0*m - 27\/4*m**2 - 99\/4*m**3 + 0 = 0. What is m?\nAnswer: -3, -3\/10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 321 divided by -11091\nAnswer: -107\/3697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**7\/2520 + p**5\/120 - p**4\/6 - 2*p**2. Let l(t) be the second derivative of d(t). What is the derivative of l(w) wrt w?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -91.03 + 91. Which is the biggest value? (a) l (b) 1\/5 (c) -1\/9 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/4 - 189\/(-252). Let y(v) = -6*v + 3. Let w(j) = 6*j - 3. Determine x*w(r) - 3*y(r).\nAnswer: 6*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**5 - 8*z**4 - 86*z**3 + 188*z**2 + 984*z + 720 = 0 for z.\nAnswer: -5, -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.3, 1.5, -0.3?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 97 divided by 573\nAnswer: 97\/573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o - 68 + 68.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14.88 (b) -1\/206 (c) 6 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -2\/23 (c) 34155 (d) 247\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -10*n**3 - n**2 + 6*n - 11. Determine c(2).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (94\/(-987)*3)\/(1\/182*4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.1 take away 2?\nAnswer: 84.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**4 - 2*x + 2*x + (3*x**3 + 0*x**3 - 2*x**3)*(-2 + 2 + 2*x))*(-3 + 3 + 3*x).\nAnswer: 12*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 3. Suppose -199 = k*t - 511. Does 26 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d**2 - 34*d - 45. Give q(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52 and 14?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/(-2))\/(-4 - (-49)\/12). Let o = m + -9. Let y = 209 + o. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a century in years?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1933.37 to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 3 + 3)*(4*s**3 + 17*s**3 - 5*s**3) + s**4 - s**4 - 2*s**4.\nAnswer: 14*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.904497043 rounded to three decimal places?\nAnswer: -1.904","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(88) + ((sqrt(88) - sqrt(88)*1)*-3 - sqrt(88) - sqrt(88)))\/(1*sqrt(800)).\nAnswer: -4 - sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -10*f - 5*f**2 - 29 + 29 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 6*g - 13*g - 2*g**2 + 6*g)*(-37 + 20 - 66).\nAnswer: 166*g**2 + 83*g - 166","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6124 (base 7) in base 8?\nAnswer: -4115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -77 + 300. Let y = -221 + i. What is the highest common divisor of y and 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 2*c. Let x = 4 + -5. Let v be 2 - (c\/(-1))\/x. Solve -4 - v = -3*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1)**26)**(-29)*(r**(-2\/13)*r**(-1)*r*r)**29 assuming r is positive.\nAnswer: r**(-9483\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-1) + -2)\/2. Let n = p - 2. Sort 2, 0, n in descending order.\nAnswer: 2, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, -190, -822, -2082, -4186, -7350?\nAnswer: -11790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49357.\nAnswer: 7, 11, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 4 - 14. Suppose -u*q = -3 - 33. Solve i = 4*g - 7, 4*i - 1 + q = 5*g for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 2, -3\/20, -15, -5\/114, -1\/4?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001810717 to seven dps.\nAnswer: -0.0001811","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/6 + 345\/1800. Let a(n) be the third derivative of 1\/5*n**3 + 0 - 1\/100*n**5 + 5*n**2 + 0*n - f*n**4. Suppose a(x) = 0. Calculate x.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 + -52. Suppose -14 = -m - 0*m - 4*o, 3*o - 36 = -5*m. List the prime factors of 22 - m\/h*-5.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 1)*(1 - 1 - 2)*(0*i**2 + i**2 + 0*i**2).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -4. Let b = z + 1. Let x = 6 - b. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 472 (base 9) to base 7\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 5*t**2 + 3*t - 3. Let r be h(5). Let d be 2\/r*(0 - -9). Let g = 0 - -0.1. What is the closest to 1 in g, 1, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4451219547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/4 and -11569580 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 5*y - 8. Let m be t(7). Let o be (14\/(-4))\/(-7)*m. Let n = -1 + 5. What is the nearest to 0 in n, o, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1006, -2054, -3144, -4276, -5450?\nAnswer: -6666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 25. Solve 3*w = 2*w + i for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaaaxaxxaaxaaax. Give prob of sequence ax.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 94 = 3*b, j + 0*j = 4*b - 87. Suppose -f + v + v + 14 = 0, 4*f - 2*v = 38. Calculate the remainder when b is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76866592?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 559 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 42, 36, 56, 114, 222, 392?\n\"Answer: 2*f**3 + f**2 - 23*f + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 415 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*m + 1324502 = 7453866. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394465119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*m**4 + 20*m**4 - 4*m**4 + 2*m**2 + (4 - 4 - m)*(4*m - m**3 - 4*m).\nAnswer: 25*m**4 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 18. Suppose -3*x - 13 = f. Let s be 0 + -1 + (-7)\/x. What is the biggest value in s, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17+1331346661\nAnswer: 1331346678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 56179872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i - 24 + 24 + (-4*i + 6*i + 14*i)*(-47 + 17 + 15).\nAnswer: -236*i","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 243716935*j**3 + 186*j**2 - 66737*j - 3 wrt j.\nAnswer: 1462301610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j - 1852 - 1849 - 108*j**2 + 3699 - 2*j.\nAnswer: -108*j**2 - 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*i**3\/9 + 74*i**2\/3 - 20*i\/9.\nAnswer: -2*i*(i - 10)*(11*i - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -174 + 222. Suppose 0 = 51*s - u*s - 126. What is the highest common divisor of s and 336?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484*u - 1359 - 2029 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - v + (-1 + 1 + 1)*(3*v + 0*v - 2*v) + 2*v + 0 + 0 + v - 2 + 2 + 0 + 0 + 2*v + (14 - 3 + 4)*(-22*v - 348 + 348) - 2*v - 4*v - 2*v.\nAnswer: -333*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*g**2*m**2 + 1595573*g**2*m + 4*g**2 + 605293*g*m**2 wrt m?\nAnswer: -12*g**2 + 1210586*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001454 to 5 decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b = 15*b - 5*i + 5, -1 = -2*b - i for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/7584 and -59\/176.\nAnswer: 83424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -51 + 62*t**2 - 2\/3*t**3 - 1922*t. Factor n(k).\nAnswer: -2*(k - 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22)\/8*-2*2. Suppose 16*v = h*v - 10. Let i be (1 - v) + 42\/(-24)*2. What is the second biggest value in -0.14, i, -1, -4\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -52. Is (22\/2 - 4)\/(1\/f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 845, 1690, 2537, 3386, 4237, 5090, 5945?\nAnswer: 6802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 3:40 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-180)\/3120)\/(1\/(-4)*1)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1157 (base 14) in base 8?\nAnswer: -5711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**4 + 55*v**3 - 8525*v**2 + 16865*v - 8400 = 0. What is v?\nAnswer: -48, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1208300, -2416542, -3624782, -4833020, -6041256, -7249490, -8457722?\nAnswer: -9665952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2*sqrt(85) - sqrt(85) - sqrt(85))*4)\/(sqrt(35)\/(sqrt(7)*1) - (sqrt(720) + (2*sqrt(720) + sqrt(720) - sqrt(720)))).\nAnswer: 32*sqrt(17)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1292495*s**5*u + s**4*u**2 - 49*s**2*u**2 - 16062*s**2*u wrt s?\nAnswer: -77549700*s**2*u + 24*s*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6594.6? (a) 3 (b) 1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(55) + 4*6*sqrt(55))\/sqrt(5))**2.\nAnswer: 6870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -219, 1, -2 in ascending order.\nAnswer: -219, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1097 + 1098. Suppose -h = g - 5*g - 18, -5*h = g + 15. Sort d, 6, -1, h in ascending order.\nAnswer: h, -1, d, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100302 - 33?\nAnswer: -101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.09 + -0.31. Which is the closest to -0.1? (a) 0.1 (b) -1.3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -24.736687?\nAnswer: -74.210061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3507901 - 3507901 + 10*m**2.\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-5*sqrt(65)\/(1*sqrt(405)).\nAnswer: 10*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z**2 - 7*z - 4. Let g(d) = -d**2 - 4*d - 2. Give -7*g(b) + 4*i(b).\nAnswer: -5*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 16 = 4*p, 18*k = 3*p - 17*k + 55*k - 21*k + 13 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26024 is divided by 394.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 3*c**8\/8 - 31*c**4\/12 + 7*c. What is the third derivative of x(q) wrt q?\nAnswer: 2520*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*r - 7*m + 3*m, -4*m = -4*r - 16. Let y(j) = -j**2 - j + 19. Let o be y(r). Suppose -3*n = -o - 11. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00037506981 rounded to five dps?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(4\/3)*x*x*x\/(x*x*x**7)*x)\/(((x*x**(-1)\/x)\/x)\/x**(-5\/3))*((x\/(x*x**4*x))\/x*x**13)**(1\/48) assuming x is positive.\nAnswer: x**(-233\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 3*l + 2. Let x be i(-7). Let n = x - -275\/4. Let t = -6 - -10. Which is the second smallest value? (a) n (b) t (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 454.7748 centuries?\nAnswer: 45477.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/14)\/(6\/(-21)). Suppose 3*u = 4*w - 15, 7*u = 3*u - 4. Differentiate v*c**3 - 4*c**3 + c**w + 1 with respect to c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (29 - (12 + 24))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1054\/235 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 3*n - 2. Give u(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/44 - (-470)\/385.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, i: 1, e: 1, m: 3, d: 1, s: 5}. What is prob of sequence eade?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 633 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 4, -28.\nAnswer: -28, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 21, -5 in decreasing order.\nAnswer: 21, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 1355*m**2 - 9*m - 91. Is d(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 - -36. Put -1\/4, 0, o, 2 in descending order.\nAnswer: o, 2, 0, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.25 - 0.25. Let v = -2.9 + 0.9. What is the closest to 0.1 in -0.4, v, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -313 - -153\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375 + 142 = 11*x. Suppose o = 4*s + x, 2*s + 78 = 4*o - 68. Let k be 5\/7 + 5\/(o\/2). Which is smaller: -2\/7 or k?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131322322331 (base 4) to base 16.\nAnswer: -77aebd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6\/48 + (-30)\/(-144)*1185?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(8\/83)*-1. Let x = -167\/40 - v. Find the common denominator of x and 40\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27324.27 - -27689. What is v rounded to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1675 or -0.04?\nAnswer: 1675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 212701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.46 or -89.993?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 48.28*24249\nAnswer: 1170741.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140 and 4270.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -12.5. What is the smallest value in t, -0.4, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-14) + (-4)\/14. Let c(f) = 2*f + 1. Let g be c(a). Suppose 5*y + g*k - 50 = -2*k, 0 = 2*k + 6. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 - 4)\/2*(-15 - -12). Let f(s) = s - 1. Let i(k) = -k**2 - 3*k + 2. Let v(j) = f(j) + i(j). What is v(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*j + 155, 3*j = 4*s - 8*s + 85. Suppose 7*r - 112 = 3*r. Is (j\/r)\/((-2)\/(-24)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilometer in centimeters?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -88 + 184. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 76 - 75. What is the nearest to 2 in -2\/9, t, 1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -37*a**2 + 23. Let c(z) = 18*z**2 - 12. Let p(l) = 5*c(l) + 2*y(l). Find the first derivative of p(s) wrt s.\nAnswer: 32*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -32831534264 and -0.006.\nAnswer: -32831534264.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 23, 81, 0.03, 2\/9, -0.4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 - 1. Let s be 1 + -4 + 7 + 2. Suppose -8 = 7*k + s. Determine c(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**2\/3 - 14296*w\/3 - 51093904\/3 = 0.\nAnswer: -7148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ihrr when four letters picked without replacement from {h: 2, c: 2, r: 3, i: 8}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z**2 + 11*z + 5. Let n(m) = 12*m**2 - 45*m - 21. Let y(p) = -5*n(p) - 21*s(p). Is 7 a factor of y(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73788 - -21250907\/288. Find the common denominator of -3\/16 and q.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.6 - 5. Let t = -3 + 7. Let y = 1235\/7 - 176. Which is the third smallest value? (a) t (b) k (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 9:34 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-10 - 2) - (-30)\/(-15)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -61, -100, -139, -178?\n\"Answer: -39*j - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35*s + 15*s**6 - 4*s**6 + 14*s**2 - 35*s wrt s?\nAnswer: 1320*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*w**2 - 7248*w - 2640 = 0.\nAnswer: -4\/11, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-148)\/(-20) + 6\/(-15). Let o(x) = -7*x + t*x + 4 - x. What is the units digit of o(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1299438?\nAnswer: 2, 3, 7, 10313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 272, 534, 786, 1022, 1236, 1422, 1574, 1686?\nAnswer: 1752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -2 + -5 + 1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 683153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-435)\/2 + (-17 - -22))*-18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 442 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4730, -18910, -42552, -75662, -118246, -170310?\nAnswer: -231860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = 3*s - 8*s. Does 16 divide (s\/(-5))\/(3\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.8 - 5149?\nAnswer: -5105.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -111000101001000110 (base 2) to base 14\nAnswer: -6079c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 10*v - 8. Suppose -v*q - 360 = -9*q. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, 0.3, -2, 39, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/18 (b) -5 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d**4\/5 - 52410*d**3 + 17167026517*d**2\/5 + 13734250140*d + 68672298916\/5 = 0. What is d?\nAnswer: -2, 131027","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 5:44 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 2:31 PM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*x + 20. Solve 0 = 2*y - x*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(504)\/(sqrt(48)\/sqrt(4)) + sqrt(1050)*-1))\/((sqrt(2160) + 1*sqrt(2160))\/(-2*sqrt(640))))**2.\nAnswer: 1792\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dhbdbhsbbbbdsobbb. Give prob of picking 1 o, 1 h, and 1 d.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**31)*g)\/g*g\/(g*g*g*g**11*g*g)*g assuming g is positive.\nAnswer: g**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2778 + -2737. Solve 8 + i = -49*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 90 + -77. Solve 0 = -5*i - r - 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i + 15*i**3 + 69*i**3 - 191*i**3.\nAnswer: -107*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(160)*-2 - sqrt(80)\/sqrt(2)*2))\/(-5*(sqrt(512) + (sqrt(512) - ((sqrt(512) + (sqrt(512) - (sqrt(512)*1 - sqrt(512))))*3 + sqrt(512))))).\nAnswer: 9*sqrt(5)\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -4*g - 32, -5*k + 20 = -g - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 491, 824, 1143, 1442, 1715, 1956, 2159?\nAnswer: 2318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2982130 to the nearest 10000.\nAnswer: 2980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 681831031 divided by 250397.\nAnswer: 2723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 + 5*l + 2*l - l + 4*l.\nAnswer: -5*l*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 533733297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 16. What is the derivative of -5 + 2*g - 2*g + g**h - 6*g**3 wrt g?\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5492 and -104330\/19 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 309629 and 6.\nAnswer: 1857774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/6)\/(6\/(-108)). Let p = 8 - h. Suppose 3*x - x + 4*l - 44 = 0, p*l = x - 22. What is the greatest common factor of 33 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/3 (b) -16 (c) -5 (d) 5 (e) 2\/425\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 722*y. Let r(i) = 750*i**2. What is r(b(u))?\nAnswer: 390963000*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*t**5\/2 - 360*t**4 + 12903*t**3\/2 - 12777*t**2 + 7722*t - 1020 = 0. What is t?\nAnswer: -34, 2\/11, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (6*(0 + sqrt(468)) - (sqrt(468) + 1 + -3)))**2.\nAnswer: -180*sqrt(13) + 11709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-14)*-1122*347\/(-34353).\nAnswer: 68\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6245351933?\nAnswer: 6245351933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 110*y + 2 - 6 - 3 - 2*y. Is h(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -6, 1, -31.38, -3, -0.4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**5\/30 - g**4\/3 + 5*g**3\/3 - 8*g**2\/3 - 95*g + 1. Find a, given that o(a) = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -955\/7, -5, 1, 7 in increasing order.\nAnswer: -955\/7, -5, -4, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1326181748?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9600421, -19200851, -28801285, -38401723, -48002165?\n\"Answer: -2*j**2 - 9600424*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -321 + 318 + (-9 - 3).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 5*h - 2. Let x be j(-6). Suppose 0 = -3*p + l + 10, -4*p + 4*l + 2 = -6. Find the second derivative of p*d**4 + 11*d**x + 3*d - 10*d**4 wrt d.\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**3 + 33*n**2 + 35*n - 29. Let g be l(-27). Let m = 325066 - 121032. Let v = g - m. Round v to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -26. Suppose 2*v + 0*v = 88. Let q = 69 - v. Calculate the highest common divisor of q and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/143 and -83\/5720.\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1455 - 1246. Calculate the remainder when d is divided by 68.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((4 + (sqrt(136) + 1*sqrt(136) + sqrt(136) + sqrt(136) + sqrt(136))\/sqrt(8))**2 - (sqrt(272) + (sqrt(272)*-1)**2*-2)).\nAnswer: 36*sqrt(17) + 987","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 40383 = -y, -4*l + 5*y + 19438 + 34425 = 0. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 4. Suppose 2 + 2 = -2*v. Sort -5, v, g in decreasing order.\nAnswer: g, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((19\/((-665)\/(-30)))\/(6\/28))\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -85, -172, -259, -346?\n\"Answer: -87*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 plus 0.40332?\nAnswer: -15.59668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -626, -0.3, -6, 18?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*m + 27 = 0, -42*h - 3*m = -37*h. Solve x + 4*x = 25, -4*x + 8 = -h*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -87\/26 (b) -2\/13 (c) 0.5 (d) -25 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5654 - 23?\nAnswer: 5631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -2)*54\/(-36). Is -113*(0 - 3\/c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6704991, -13409983, -20114975, -26819967?\n\"Answer: -6704992*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, i: 4, k: 10, h: 1}. Give prob of sequence gkih.\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1015.1 to the nearest ten.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-13)\/(-39))\/(1\/9). Suppose c*d + 3*l = -0*d + 39, 2*l = -4*d + 54. Suppose -12*h = -d*h. Solve h = -5*z, 4*k + 3*z - 8 = 5*z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 2*d**2 + 2*d - 2. Let w be a(2). Suppose c - 4*l + 2*l - 90 = 0, -4*c + 400 = w*l. Calculate the remainder when c is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 176 - 167. Which is smaller: t or 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*w - 906 = 89*w. Which is greater: w or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175707341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q**2 + 6*q - 2. Let n(t) = -t. Suppose -55 + 44 = -11*m. What is m*b(z) + 5*n(z)?\nAnswer: -5*z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*i + 16 = 0. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18512708?\nAnswer: 2, 4628177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29 and 1218.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/123 smaller than 277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3811126635 to the power of 1\/4, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 4*y - 664 = -4*s, 0 = -3*s - 2*y - 988. Let l = s - -2956\/9. What is the nearest to -1 in l, -1, -2\/17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157864103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 576*l**5*x**3 + 9*l**3*x**3 - 2*l*x**3 - 6*l*x**2 - l + 7 wrt l.\nAnswer: 11520*l**3*x**3 + 54*l*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - p + 2. Let g be t(6). Let w = -255\/8 + g. What is the third smallest value in -0.1, w, -0.01?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2301 + -230?\nAnswer: 2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*p + 234 = -84*p. Suppose p*c + 132 = 128*c. Calculate the greatest common factor of c and 336.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 176*l**3 + 318*l**2 wrt l?\nAnswer: 1056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30949091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9529685357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -4*d + 48. Suppose -2*v - 10 = 0, 3*w - 17*v = -18*v + 136. Calculate the remainder when w is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1445 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 68 = -25. Suppose -x = -4*k - 109, 0*k + x = -k - d. Let b be (-21)\/(-6)*6\/k. Put 3, -1, b in descending order.\nAnswer: 3, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 337 = -227. What is the remainder when t is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = 6*b - r + 7, 0 = 4*r + 8. What is the second smallest value in -3, -0.4, b, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 - (-22 + 15 + -7 + 28 + -11)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35660 and 64188.\nAnswer: 320940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/11, 644779, -2?\nAnswer: 644779","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 45275 divided by 6\nAnswer: 45275\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 42 = 102. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -21*n - 5. Let q be x(-4). Is q\/2 + (-51)\/34 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 94 and 7.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 35*i**2 + 3*i + 9777. Let r(h) = 25*h. What is z(r(m))?\nAnswer: 21875*m**2 + 75*m + 9777","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(270\/(-4)))\/((-104)\/520)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -58eb (base 15) to base 12\nAnswer: -ab28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + w - 34. Suppose -1 = -3*m + 5*g, 4*m + 4*g - g + 47 = 0. Let i be n(m). Suppose 18 - i = -x. Solve 2*v = -2*y - y - 4, -4*v = 5*y + x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 111 + -69. Suppose -53*w + p = -56*w. Let s(f) = -2*f**2 - 28*f + 3. Calculate s(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) 3\/7 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -495*u + 310*u + 322*u - 8 as z*u + v and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 1\/26*r**4 - 102 + 1\/13*r**2 + 4\/39*r**3 + 0*r. Suppose c(w) = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-216)\/104*(-7462)\/(-1148)?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -354 - -346.44. Let q = y + 5.39. Let s = q + 2.170000502. Round s to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/7 (b) 4 (c) 2\/13 (d) 0.1 (e) -193\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in 13, -5, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) 2\/9 (c) -3 (d) 10 (e) -452\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 23. Let g = k + 15. Suppose -g*f - 2*w = -5*w - 494, f - 5*w = 112. Round f to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 - 4 = -14*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -14, -12, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 + -21. Let n = w + -11. Solve m = -3*a - 16, n*m - m - 4*a = 18 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**5 - 2*i**5 + 5*i**5 + (3*i**5 + i**5 - 2*i**5)*(4 + 0 - 2) + (1 - 1 - 2*i)*(-2*i**4 + 4*i**4 + i**4).\nAnswer: -i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3ccc5 - -5?\nAnswer: 3ccca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2 - 13 = 0. Suppose 4*r = 8*r - 3*g - 33, -2*r + o*g = 1. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (197 - 174) + (-12 - 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -26020, -5, -4, 2, 0 in increasing order.\nAnswer: -26020, -5, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 5*z = 0. Let l(u) be the third derivative of -u**2 - 1\/210*u**7 + z*u**6 + 0*u + 0*u**5 - 1\/3*u**3 + 0 + 0*u**4. Differentiate l(k) wrt k.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -13*s**2 + s + 20. Let n(k) be the second derivative of -k**4\/4 + 5*k**2\/2 + 16*k. Let c(u) = 2*f(u) - 9*n(u). Give c(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 732430868 to the nearest integer?\nAnswer: 901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -10*a**2 - 9*a - 38. Let p be m(-9). Let h = p - -1320. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4489318?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33666 or 1716979\/51?\nAnswer: 1716979\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -7)*1\/((-6)\/(-3)). Solve v*n - 4 = 3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02207753 to five dps.\nAnswer: 0.02208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4 + 36 = -4. Which is the nearest to l? (a) 1\/3 (b) 1.4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*l - 845 + 285 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000056644717 to seven decimal places.\nAnswer: 0.0000566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvv when three letters picked without replacement from {t: 3, v: 4, l: 2, o: 1, m: 3, z: 4}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6063 take away 386.5?\nAnswer: -6449.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/((o\/((o*o**(-42))\/o))\/o))\/(o**(-2\/37)*o))\/(o\/(((o*o**(-42)*o)\/o)\/o)*o*o*o**38*o))**(-2\/43) assuming o is positive.\nAnswer: o**(9320\/1591)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, -5, -1 in ascending order.\nAnswer: -7, -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -648 - 512 = -145*q. Solve -5*j - m = -q - 8, -j + 2*m + 12 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.19 + -0.09. Let u be 3 + 0 - (-1 - -1). Let k be (8\/90)\/((-2)\/u). Which is the closest to w? (a) k (b) 5\/4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 7*i**2 + 7*i + 8. Let y be 3*(0 + -1) - -3. Suppose y = 5*v + 5*q - 50, -4*v + 2*q = -v - 10. Is s(v) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 327 and 17876?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - 6*2\/4. Let v be 15\/18 + -1 + p. Let o = 0.2 + -1.2. Is v > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 at most -14079052\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 13*u**2 + u - 1. Let z be p(-2). Let x(h) = -h + 10*h + 9*h - 19*h + z. Does 5 divide x(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -4, -50?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -381072 (base 9) in base 3?\nAnswer: -102201002102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - h = -3, -g + 2 = h - 1. Let m(p) = p**3 + 6*p**2 + 3. Let t be m(-6). Suppose -8*v - 5 = -t*v. Is g less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(660) - sqrt(660)*-6)\/sqrt(12))\/sqrt(5) + 5 + (-4*-2*sqrt(88))\/(sqrt(600)\/sqrt(3)).\nAnswer: 5 + 43*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1114179 by 19547.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - (-29 - -64) - (-3 - (-2 - -4)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -389251*l**5 + 4*l**2 + 229*l?\nAnswer: -23355060*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 33*g + 168. Calculate d(-30).\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2054655492 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6065240267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10\/10137317 - -30493084186\/35125803405. Let g = h + -60\/77. Let d(p) = -2*p**2 - 2301*p + 2303. Let a be d(1). Is g greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12687 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*s = 26*s + 64. Calculate the remainder when 29 is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 11*a - 1 - 47*a.\nAnswer: -36*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 6*h**2 - 6*h - 15. Let a(s) = -3*s**3 + 13*s**2 - 13*s - 31. Let d(o) = 3*a(o) - 7*b(o). Is d(-3) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11\/22*-4 + 2. Let g = 4 - 3.7. Which is the closest to -0.1? (a) g (b) -2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2. Let c(n) = n**2 + 6*n. Let k(b) be the third derivative of -b**5\/30 - 7*b**4\/24 - 2*b**2. Let f(o) = 7*c(o) + 6*k(o). Determine f(l(y)).\nAnswer: -5*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 1802549?\nAnswer: -1802546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - q + 4790. Suppose -5 = s + 3*j + 8, -3*j - 1 = -2*s. Is q*4\/(-6)*(-3)\/s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2863091.7 + 2863086.70000025. Let b = l - -5. Round b to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1028 (base 13) to base 10.\nAnswer: 2231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 883194 is divided by 80290?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1467 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(100)*6 + sqrt(25))*-4)\/((-6*sqrt(500)*1 - sqrt(500)) + sqrt(500) + (sqrt(500)*1 + sqrt(500))*2).\nAnswer: -13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226617 is divided by 231?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11660, 46646, 104952, 186572, 291500?\nAnswer: 419730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -4*f**3\/3 - 56*f**2 - 780*f - 4470. Factor c(y).\nAnswer: -4*(y + 13)*(y + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 583651 by -1.\nAnswer: -583651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from biibdbdiidddf.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by 144?\nAnswer: -5\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 26169887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 2099595015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + m - 30. Suppose 0 = 3*b + 2*p - 50, 0 = -0*p - 3*p - 15. What is the remainder when -23*(4 + b\/(-4)) is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -469*a - 407*a + 747*a + 8*a + 71 - 71 + (-2*a + 3*a - 2*a)*(-4 + 3 - 1) - 1 + 1 + 2*a + 0 + 0 - 2*a.\nAnswer: -119*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3155220 divided by 1?\nAnswer: -3155220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4131\/7344*2*(-1)\/3\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.6 (b) -1\/5 (c) 5 (d) 1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3934 equal to 275367\/70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*l**3 + 1 + 72*l**3 + 3 - 24*l**3 - l**2 in the form n*l**3 + p*l**2 + q + v*l and give n.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 - 177535*k - 1242990.\nAnswer: 5*(k - 35514)*(k + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.99 + -0.01. Let s = x - 1. Let v = 0.12 + 4.88. What is the smallest value in s, v, -2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 5*x + 20, 2*x = -5*g + 27. Suppose 5*s - 11 - 11 = -4*j, -j + g = 2*s. Suppose 0 = -3*d - s*d + 5350. Round d to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*n**2 + 2 - 17 - 4 wrt n.\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 5:44 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2893 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 2*h = -2, 0 = -5*l - 28*h + 24*h - 32 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpeu when four letters picked without replacement from wedxpuu.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1784379850 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**3 - 20*t**2 + 41*t - 59. Let s be d(-17). Round s to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/15 + (6 - (-96)\/(-18))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d - 4. Suppose 99 = 4*v + 27. Let t = 30 - v. What is the least common multiple of t and s(12)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2424 and 44?\nAnswer: 26664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b + 76. Let w be -91 - 12\/8*(-4)\/6. Let x = 77 + w. Let r be u(x). Calculate the highest common factor of r and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0)**(10\/13)\/((k\/(k*k**(2\/9)))\/k*k**5))\/((k\/((k*k*k*k**1)\/k)*k)**48*(k**(1\/2)\/k)**(-8\/3)) assuming k is positive.\nAnswer: k**(386\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, z: 3}. Give prob of picking 2 f and 2 z.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/56 and -8\/21.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + -1 - (2 - 6 - -1). Let g(f) = -1. Let p(n) = -n + 4. Determine b*g(t) + p(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389 is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-4)*20\/25. Suppose c + 3*c = -4*u + 32, 0 = -u + c - s. Let y(k) = -k**3 + 3*k**2 - 3*k. Give y(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 0, 5, -2, -78?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9824*1.6489\nAnswer: 16198.7936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175686, -175660, -175628, -175590, -175546, -175496?\nAnswer: -175440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -13, -11, 7, 47, 115, 217, 359?\nAnswer: 547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 + 1 + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(70)\/sqrt(2))\/sqrt(7)*2.\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.07 + -0.73. Let f = -2.77 - -7.17. Let a = f - z. What is a rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + s**2 + 3*s - 15. Calculate the least common multiple of 6 and k(3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11745 + -12283. Is c less than -535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/3)*z**(6\/5)*(z\/((z\/z**(3\/5))\/z))\/(z\/(z*z**(-2\/11))*z*z)*(z*(z**(2\/7)\/z)\/z*z*z*z*z**(1\/4)*z)**(2\/115) assuming z is positive.\nAnswer: z**(71531\/53130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**16*((v\/(v\/v**(-13\/4)))\/v)\/v assuming v is positive.\nAnswer: v**(47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 - 4*m - 3. Let o be d(-2). Let s(f) be the first derivative of 4*f + 1\/3*f**3 + f**2 - 23. What is s(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 y when two letters picked without replacement from yyoyyyyyydyyoyyyy.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (76*l - 65 + 65)*(4 - 1 - 2) in the form q + c*l and give c.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -242500 equal to -242548?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 4480549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4864485640 to the nearest integer?\nAnswer: 1694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*20.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3 + 36 = -3*r, 0 = l + 4*r + 23. Let z(g) = g**2 + 6*g. Suppose 0 = 3*i - 57 - 3. Calculate the remainder when i is divided by z(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.11 in 84, 1.03, -6\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**3 + 12*o**2 - 51*o + 97. What is a(7)?\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**4 + 13*j**3 + 26*j**2 - 52*j - 120 = 0.\nAnswer: -10, -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-4) - 63\/126)*(-24)\/33. Let -a + 32\/11*h + 6\/11*h**3 - 26\/11*h**2 = 0. Calculate h.\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124 = 2*u + 6*u - 116 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15\/(-10))\/3)\/((30\/110)\/(-3)).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*m = -44. Let g be m\/7 - 4\/14. Determine s, given that -8*s + 3*s**3 - 3*s + g + 3*s - s = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (1 + 2 + -5 - 7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/5*1 - (-856)\/20. Suppose -h = 2*t - 126 - 80, 3*h + 2*t = 598. What is the highest common divisor of h and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 10*y + 28. Let m(p) = 2*p**2 + 20*p + 55. Let z(k) = -6*m(k) + 11*n(k). Let i be z(-11). Is i <= -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2695, -5336, -7981, -10630, -13283?\n\"Answer: -2*x**2 - 2635*x - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/59)\/(u**(-2\/85)\/u))\/(u**(-34)*u**(-12)) assuming u is positive.\nAnswer: u**(235908\/5015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7\/325 - -11\/25. Let d = y - -27\/26. Determine t, given that -1\/2*t**4 + 1\/2*t**3 - 1\/2*t + d*t**2 - 1 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95\/76*-1*(-16)\/(-4)*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + (-3 + sqrt(432) - sqrt(432)) + sqrt(432))*3 + 5.\nAnswer: -4 + 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -246*k**2 - 6*k - 4. Let v be x(-1). What is the units digit of (v\/(-8) - 1)*2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gkkg when four letters picked without replacement from gggggggkkkggkggk.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0, 3\/4, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -562 + 6*m + 2*m**3 - 413 - 5*m**3 + m**3 + 344.\nAnswer: -2*m**3 + 6*m - 631","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(((y*y**6)\/y)\/y))\/(y**(-6)\/y)*(y**(2\/7))**(-13\/2)*(y*y**(-2\/7)*y**(-2\/13))\/(y**1)**24 assuming y is positive.\nAnswer: y**(-1938\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 180094, 360179, 540264, 720349?\nAnswer: 900434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 308130439 to the nearest integer?\nAnswer: 17554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-6) + 0)\/((-12)\/144). Let n(j) = j + 3 + 8 + 0*j + 6. Let m be n(k). Solve 3*x = 2*c - 1, 3*x - m = -7*c + 3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -18. Factor -2*v - s*v + 5*v**2 + 20*v.\nAnswer: 5*v*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4825 or -4820?\nAnswer: -4825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 7:21 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -2. Suppose t = -5*g - 2*b + 27 + 55, -3*b = -5*g + 77. Calculate the greatest common factor of g and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -18*g**2 - 12*g + 12. Suppose 47 = -3*q - 178. Let z be q\/6 + (5\/(-10))\/(-1). Let m(i) = -7*i**2 - 5*i + 5. Give z*m(n) + 5*j(n).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4467.438 days in minutes?\nAnswer: 6433110.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 + -70 - -35) + (-37 - -1).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1181891 + 2661891. Suppose 370000 = h - 2*b, 4*h - 5*b + b = y. Round h to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43434 (base 6) to base 15\nAnswer: -1b9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*b + 4*b - 4*s - 20, -1071*b + 2134*b - 4 = 1065*b + s for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 23 + 8 = 0. Suppose -101*z + 78*z - 92 = 0. Sort 0, r, z in descending order.\nAnswer: 0, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-35)*-10*-7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -20*j**2 - 3*j. Let r(s) = -19*s**2 - 2*s. Let m(d) = 2*k(d) - 3*r(d). Let g(l) = -l - 7732 + 7732 + 6*l. What is m(g(n))?\nAnswer: 425*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (184\/(-69))\/(-8)*9\/(-8).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 greater than -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15503646\/(-224730) - (-4)\/(-330)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (0 - (-47 + -3)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**3 - 3*q**3 + 2*q**3 + (7*q**2 - 4*q**2 - 2*q**2)*(-q + 4*q - 4*q) - 40*q**3 + 17*q**3 + 27*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 225188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 404\/6 + 1\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -d + 114, -17*d = 4*k - 19*d - 94. Let x = 1025 + 840. Suppose -28*y + x = -k*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 = -99*w + 22*w + 331. Factor -8\/5*k - 2\/5*k**3 - 3\/5*k**4 + 1\/5*k**5 + 12\/5*k**w + 0.\nAnswer: k*(k - 2)**2*(k - 1)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-57)\/19 + 46\/14. Let o = 125 + -872\/7. Which is the third biggest value? (a) y (b) o (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 - 108*k + 965. Is u(72) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(((-1)\/(-8))\/(31\/(-248)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -19*i**2 - 2*i - 1. Let f = -6 + 5. Give j(f).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5859657, 5859662, 5859669, 5859678, 5859689, 5859702?\n\"Answer: w**2 + 2*w + 5859654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q = -2*q - q + 300 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 10:21 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/2))**(-5\/9)*r**9*r**(5\/3) assuming r is positive.\nAnswer: r**(187\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162806 is divided by 36?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of n**3\/3 - n**2\/2 - n + 1. Let h = 6 - 11. Let o(i) = -i**2 + i + 1. Determine h*o(b) - 4*a(b).\nAnswer: b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 98917.48 weeks in hours?\nAnswer: 16618136.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h - 1 + 0*h + 2*h + 4*h + h**2. Give n(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(63) + (sqrt(252)\/sqrt(4) - sqrt(7)))**2.\nAnswer: 30*sqrt(7) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 81*n**2 - 25*n + 33. Let a(y) = 27*y**2 - 9*y + 12. Calculate 11*a(g) - 4*v(g).\nAnswer: -27*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y**3 + 7*y**2 + y + 24. Let s(z) = z**3 - 2*z**2 - 6. Let u(i) = -2*l(i) - 9*s(i). Let p be u(4). Is (-6)\/(-12) + (-43)\/p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 31 = 5*j. Let y(s) = s**2 - 12*s + 8. Let k(v) = 2*v**2 - 25*v + 17. Let x(c) = 4*k(c) - 9*y(c). List the prime factors of x(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*q**3 + 22*q**3 - 27*q**3.\nAnswer: -92*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - s = -4. Which is the nearest to 2\/5? (a) s (b) 1\/4 (c) -78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4925, -19720, -44383, -78914, -123313?\nAnswer: -177580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and -2947.983.\nAnswer: -2948.483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 939\/1441 + -2\/131. Let v = g + 167\/66. What is the common denominator of v and -23\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -572*z = -110*z + 29106 for z.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 22 = -4*d + b, 5*b - 15 = -d. Let u = -2 + d. Suppose -2*w - 5 = -w, -u*q = -3*w - 99. Is 25 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57127 - 21327. Round k to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 45796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -5*n**2 - 6*n - 5. Let c(x) = 11*x**2 - 24*x + 10 + 67*x - 30*x. What is 4*c(a) + 9*u(a)?\nAnswer: -a**2 - 2*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(1\/2)*z)*z)**(28\/5) assuming z is positive.\nAnswer: z**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 3\/37 (c) 37 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4842154?\nAnswer: 2, 2421077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyy. Give prob of picking 4 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -325217\/9090 - 1\/3030. Let m = t + 36. Let k be ((-4)\/10)\/((-2)\/10). Which is the second biggest value? (a) 0.1 (b) k (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 629023410?\nAnswer: 2, 3, 5, 1031, 6779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 926 times 0.01?\nAnswer: 9.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 497975160 greater than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1404430 - -31?\nAnswer: -1404344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + 6*2*(sqrt(176) + 1)*-3*-5 + 4)**2.\nAnswer: 259200*sqrt(11) + 5734800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38 * 25.3111.\nAnswer: -961.8218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*f - 3*u, -2*u - 12 = -4*f + 14 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14688 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -2. Let l(o) = o**3 + 7*o**2 - 3*o - 5. List the prime factors of l(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/13)\/s*s*s)**(-2\/11)\/(((s**8\/s*s)\/s)\/s*s\/s**(-1\/7)) assuming s is positive.\nAnswer: s**(-664\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/4)\/y)**(1\/6))**(-49) assuming y is positive.\nAnswer: y**(245\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**4\/14 + 2*v**3\/21 + 4*v**2\/7 - 8*v\/7 - 7. Factor q(g).\nAnswer: -2*(g - 2)*(g - 1)*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/11, 3\/5, -12862?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p - 2. Let a(o) be the first derivative of -1\/2*o**2 - 3*o - 2. Let c be a(-6). What is j(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5*a**2 - 25*a + 45. Give w(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bpu when three letters picked without replacement from uupbg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 4*q + 24*f - 19*f, 5 = -5*q + 4*f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 4. Let i = -25 + 7. Let s = b - i. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.78 times -0.9?\nAnswer: 9.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (5 + (-9 + 1 - -5))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4534541 a multiple of 803?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 8. Suppose 13*m + 118 = 443. Suppose 0 = -18*h + 23*h + m. Do j and h have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52919, 105629, 158339, 211049, 263759?\nAnswer: 316469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 20, -3*h + 2*x + 153 = -292. Suppose -2*q + 169 = h. Solve 5*n = -3*y + q, -5*n = -5*y + 14 + 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/3)\/(-2))\/(157\/3255552*288)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, x: 2, a: 7}. Give prob of sequence tt.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkkkkttt. Give prob of picking 1 x and 1 k.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**5\/60 - b**4\/4 - 4*b**3\/3 - 4*b**2. Suppose -3*d = 2*d - 30. Give m(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-5*sqrt(96) + sqrt(96) - sqrt(96))\/(-3*sqrt(18)\/sqrt(6)))**2 + -2.\nAnswer: 12782\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -2\/6263 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -342 + (104 - -28) + 101.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {v: 4, k: 10}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136052 and 280102.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136, -141, -144, -145, -144, -141?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9367214*b**3 - 16997213?\nAnswer: -28101642*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*z + 55 - 56 - 1395*z.\nAnswer: -1526*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3 - 14\/9*p - 4\/9*p**2.\nAnswer: -2*(p + 3)*(2*p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/2*(5 - 7) + 4. What is the first derivative of -1 - 28*o**c + 70 + 16 - 8*o**2 wrt o?\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1500022663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*y + 2*r + 275, 376 = 4*y + 2*r. What is the smallest common multiple of 15 and y?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7458 and 4686.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1892 - 1892. Which is the nearest to p? (a) 1\/2 (b) 2 (c) -0.3 (d) 1.45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*w = -141*w + 2*m - m - 18, -4*w - 50 = 10*m for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 - 11*u + 17)*(-9 + 8 + 6*u + 3) to the form d*u + q + a*u**2 and give d.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1648774 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2939 = -31*r + 32327. Calculate the greatest common divisor of 216 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1417965 is divided by 708961.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 2, -4, 3 in ascending order.\nAnswer: -29, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 3*k**2 - k + 3. Suppose -2*p - 55 = 3*p. Let i = -8 - p. Calculate q(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5*(0 + -5 + ((sqrt(110)*3 + sqrt(110))*-2)\/sqrt(10)))**2*-6.\nAnswer: -108774 - 11040*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1078 and 132?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*c**4\/7 - 398*c**3\/7 + 380*c**2\/7.\nAnswer: -2*c**2*(c + 19)*(11*c - 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -235990677*r**3 - 46431862*r wrt r?\nAnswer: -1415944062*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -401132 (base 6) to base 14\nAnswer: -b612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33595\/4 - 8399. Which is the closest to -40? (a) l (b) 1 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1387 + 1998. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2 - 33785*k + 33786 = 0.\nAnswer: -33786, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a + 19 = 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**4\/24 + y**3 - 24*y**2. Suppose 0 = 7*w + 53 - 11. Determine v(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 20*a + 31. Let k = 20 + -12. Let q be (-57)\/k*6\/9*4. What is the remainder when 93 is divided by r(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130224 (base 7) to base 9.\nAnswer: 36076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/4, 30271, -3, -0.4, -4?\nAnswer: 30271","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7484840358 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.493506754 - 5.\nAnswer: 6.493506754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3184 + -2236. Suppose o = 11*t - 53. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - 204 + 164 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -79332.8197 to the nearest one thousand.\nAnswer: -79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 15 = -q, -4*l + q = -q - 10. Let a = l - 3. Suppose 3*z + a = 80. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + n - 558 - 561 + 1118. Suppose 2*f + 5 = 3. Let x(i) = 2*i**3 + i**2 + i - 1. Determine f*x(b) + s(b).\nAnswer: -2*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -6*f**3 - 5*f**2 + 8*f + 3. Let k(g) = 4*g**3 + 3*g**2 - 11*g + 4. Let a(i) = -i + 1. Let m(t) = 6*a(t) - k(t). Determine 8*m(p) - 5*v(p).\nAnswer: -2*p**3 + p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -41*x + 222, 5 - 6 = -3*x + 6*x - 7 for p.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -5. Is 33\/l*4\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142 = 13*n + 77 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 11\/3 (b) 97 (c) -5\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 209*y + 206*y - 429*y - 5.\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.048 in -0.1, 0.2, 5, 6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -167\/5 - -33. Let g = -19 + 28. Let l = g - 5. Which is the nearest to o? (a) 0.4 (b) -5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -169981349?\nAnswer: -169981340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -12. Suppose 0 = 5*u + 2*u - i. Suppose -n = -2*t - 21 - 68, 0 = -u*t + 6. What are the prime factors of n?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 12:36 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/16 of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3370*w - 12. Let l be f(-6). Let q = 34576486\/1709 + l. Let m = q + 213661\/30762. What is the common denominator of 85\/8 and m?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -119.691 - 5.429. Let z = n - -125. Sort 0.4, -1\/4, z.\nAnswer: -1\/4, z, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18765 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -16, 2\/9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -2152*t + 2155*t + 17, 5*i = 5*t + 15 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 - 1)*(-2*f + 13*f**2 + 2*f) + (1 + f**2 - 1)*(0 - 4 + 2) + 14*f**2 + 24*f**2 + 2*f**2 to the form a*f**2 + p + t*f and give a.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 59824665 a multiple of 1624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -7a?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 79671.\nAnswer: -1\/26557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1744 + 262 - 1285*k**3 + 1482.\nAnswer: -1285*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/(-7) + (-399)\/(-210). What is the closest to -4 in -0.4, s, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-10)*(-6)\/9)\/(14\/4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 67 (b) -2 (c) 5 (d) 3 (e) -0.79\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.16 and 1.9.\nAnswer: 0.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 693 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + 10 + -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**5\/60 + i**4\/24 + i**3\/6 - 24*i**2 - i. Let c(f) = 3*f**2 + 8*f + 3. Let d(b) = -c(b) + 4*q(b). Determine d(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 777 + -509. List the prime factors of y.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11675 - -42?\nAnswer: 11707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pfjfjhjhe. Give prob of picking 1 f and 1 p.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 135\/60*(-12)\/(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5916 - 1988 - 1971 - 1957 + 23*h**3 - 7*h**3.\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 853413 to the power of 1\/2, to the nearest integer?\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -353*j**3 - 202*j + 32*j + 173*j in the form o*j**2 + w + f*j**3 + h*j and give f.\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3 - (-4)\/468*21?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00527008 rounded to four decimal places?\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-6)*-1)\/(2\/6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three quarters of a litre in millilitres?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 113*w**2 + 2*w. Let p be a(-7). Let s = p + -60879\/11. Let m = s - -1123\/99. What is the closest to -2 in m, -4\/7, -0.5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 9 = -3*m. Suppose -4*h + 317 = m*y, 3*y - 4*h = -3*h + 292. What is the common denominator of y\/35 + (-9)\/21 and 49\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**4 + 23 - 16 - 11*p**2 - 297*p**2 - 9 to k + s*p + u*p**4 + a*p**3 + j*p**2 and give j.\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -77.1 (b) 77\/557 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1601, 5, 0 in increasing order.\nAnswer: -1601, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 159879?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 2*n**2 + 5*n - 5*n)*(550 + 945 + 310 + 669 - 47).\nAnswer: -4854*n**2 - 2427*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -f**4\/2 + 11*f**2\/2 - 2*f. Let w(z) = -z**2 + 2. Let h(n) = -2*c(n) + 11*w(n). Let s(i) = -4*i**2. Determine h(s(p)).\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 0*m**2 + m - 460001\/3*m**3 + 3. Let n be p(-1). What is n 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 hundred millions digit of 982106381?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 51629 divided by 7?\nAnswer: 51629\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 8:05 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2\/9 - 58\/9*o + 56\/9*o**2 = 0.\nAnswer: 1\/28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3*t = -18, 2*q = -q + t + 12. Suppose 14*a = q*a. Let k be 7\/(-21)*a\/2. Solve k*l = l + f + 8, -3*f = -5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 143399?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 434, 572, 490, 188, -334, -1076?\nAnswer: -2038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 + (0 - -7) - (-1 + 2) - (-24 - -16)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*h - 182*h - 109512 = 233*h + 594*h for h.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8972 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 4*b + 6*b. Let d(m) = -m**3 + 7*m**2 + 9*m - 9. Let c be d(8). Let l be (1 + -20)\/(c + b). Solve l = 5*a - 4*u, 5*u = a + 3*a - 17 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12, -20, -82, -180, -320, -508, -750?\n\"Answer: -l**3 - 9*l**2 + 2*l + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22156, 22567, 22978, 23389, 23800, 24211?\nAnswer: 24622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 7:14 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 c, and 1 n when four letters picked without replacement from cncnsynyycjcn.\nAnswer: 48\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -g + 360191*g**2 + 2*g - 352485*g**2 in the form h*g**2 + c*g + i and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*s = -72, -49 = -4*i - 5*s + 42. Suppose g - i = -5. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.1325 and 5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 45805 times -62?\nAnswer: -2839910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10216 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.7 + -6. Let k be (8\/(-10))\/(6\/(-165)). Let u be 1\/((-8)\/k) + 2. Which is the closest to 1? (a) z (b) -2\/13 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -206 (b) 1.3 (c) -3.26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 24234497 and -28010?\nAnswer: 24262507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -63*f + 26. What is the hundreds digit of q(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 31414, 62841, 94282, 125737, 157206, 188689, 220186?\n\"Answer: 7*o**2 + 31406*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(27\/(-42)*222\/5994)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3*(-1 + sqrt(3072) + sqrt(3072) + -1 + sqrt(3072) - sqrt(336)\/(sqrt(1008)\/sqrt(9)))**2.\nAnswer: -81233 + 1140*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 245 = 5*c, 12*l - 8*l + 1044 = -4*c. Let s = l - -272. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006158 to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 20*d**2 + 21*d + 35. Let k be v(-19). Let j(z) = 3*z**2 - z**3 + 2*z + 98 - 2*z**2 - 5*z**2 - 94. Calculate j(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h**2 + 9*h. Let k be s(-7). Suppose 9*y - 4*y - 3*z - k = 0, 0 = 3*z - 3. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 23*y - 90. Let r be c(-18). Factor 4\/13*x**2 - 2\/13*x**5 + 2\/13*x + 0*x**3 - 4\/13*x**4 + r.\nAnswer: -2*x*(x - 1)*(x + 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - -2)*158\/3. Let b = l + 1104\/7. Let j = 0.202 + -0.502. Sort -2\/17, j, b in increasing order.\nAnswer: j, b, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 j when four letters picked without replacement from {j: 9, x: 9}.\nAnswer: 36\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17887 and -0.2.\nAnswer: 3577.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3f - 17?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*((3 - 2 - 3)*(0*g + 3*g - g) + g + 0 + 0).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (-5)\/((-45)\/11). Which is the nearest to p? (a) 2 (b) 1\/6 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 73*k**8\/28 + 73*k**4\/3 - 314*k. Find the third derivative of a(w) wrt w.\nAnswer: 17520*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34332380759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((((sqrt(8) + sqrt(16)\/sqrt(2))*-5 - sqrt(8)) + sqrt(8))\/(sqrt(12)\/(1*sqrt(3))) + -3 + -4)**2.\nAnswer: 140*sqrt(2) + 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m**2 + 3*m - 3*m. Let c(s) be the first derivative of -s**3\/3 - 2*s + 1. Let t(g) be the first derivative of c(g). Give t(w(f)).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 14599 + 68319 = 11965. What are the prime factors of g?\nAnswer: 67, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-132) + 7\/21?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (20 + -22 - 14 - -32).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51671.1690478 - 0.9.\nAnswer: -51672.0690478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 12) to base 10.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 163 by -2.\nAnswer: -163\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.61 - -0.01. Let k = -1.4 - h. Let c = 9 - 4. Put k, 5\/4, c in descending order.\nAnswer: c, 5\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-1)*(-1 + 0). Let n = m + 1. Suppose -5*i - 18 = -38. Put -1, n, i in descending order.\nAnswer: i, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -3 - (-19 - -1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21.4 - -21.1. What is the third biggest value in q, -84, 0.4?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 153.99 + -154. Which is the second biggest value? (a) -5 (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/9, -4, -19, -2, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (0 + -2 - -2). Suppose -4*r - 3*i + 16 = 1, 0 = r + 5*i - 8. Suppose 0 = x*w - 9 - r. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16605, -33214, -49823, -66432, -83041?\nAnswer: -99650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/30*5\/6. Let n = 159 + -264. Let d = 104 + n. Which is smaller: o or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*y + 2*y - 10*y to the form u + m*y and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 d when two letters picked without replacement from {w: 1, g: 2, d: 1, e: 1, x: 1, o: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2065948 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-40) + (-4)\/16\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + a + 40 = 0. Suppose 7*v = 3*v + a. Find the third derivative of 3*d**4 + 2*d**4 - 6*d**4 - v*d**2 wrt d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j. Suppose 2*s = -3*l + 4268, -2858 = -7*l + 5*l + 5*s. Let w(v) = -80*v**2 - 710*v - 713*v + l*v. Calculate u(w(k)).\nAnswer: -160*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 136*m + 3950. What is b(-29)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -58*k**2 - 1. Let j(m) = -7*m. Calculate i(j(l)).\nAnswer: -2842*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3*239879484\nAnswer: 719638452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*j - 7*j = 15*j - 7*j. Let u = 5 - 3. Solve 2*b - b - u = j for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 s when two letters picked without replacement from qlsvfsvffsffsss?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433882 is divided by 108462.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27764 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, 6, 84, 258, 564, 1038, 1716, 2634?\nAnswer: 3828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 497*o - 409*o = -2904 for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3175928 and 5481?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*(sqrt(2016) - sqrt(2016)*3) - sqrt(2016))*1)\/((sqrt(567) + sqrt(567)*-1 + sqrt(567) - (1*sqrt(70))\/sqrt(10))*3))**2.\nAnswer: 81\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.02709 and 3011.\nAnswer: 3010.97291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/6*-2*19 + (-150 - -157)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u - 9. Let w(o) = -3*o**2 - 27*o + 34. Let l(d) = -4*r(d) - w(d). Let s(f) = -2*f**2 - 20*f - 1. Calculate -3*l(a) - 5*s(a).\nAnswer: a**2 - 17*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -15) + (-6)\/(48\/104) + 18?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177838 is divided by 1601?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -115151122 - 4?\nAnswer: -115151130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1736663 and 1377128?\nAnswer: 2179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1325763671 to the nearest integer?\nAnswer: 1099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express h + 3*h**2 - h**2 + 2*h - 2*h in the form j*h**2 + u*h + f and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 2\/3 (b) -1 (c) 0.3 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 3*x**2 - 2*x + 1. Let u be b(2). Let w = u + -9. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127131994 divided by 43?\nAnswer: -2956558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 5*i**2 + 9*i - 5. Let r be m(-7). Suppose -r = -g - 4. Suppose 0 = 4*k + t - 83 + g, k - 3 = -4*t. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -g**5\/20 + 3*g**4\/2 - 5*g**3\/3 - 35*g**2\/2 + 60*g. Does 64 divide c(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-80)\/48 + 3)\/((-2)\/(-2427)). Suppose -43*b + 15636 = r. What are the prime factors of b?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 36 = -0*b + 2*m, -4*b = -5*m - 117. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*z = 137 - 178, 3*z = 3. What is the second smallest value in 1.2, -1\/4, x?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 91500 a multiple of 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - n = 42, -4*c - 5*n + 20 = -2. Let m be 3\/c - (-3)\/(-8). Solve -4*g - 4 - 4 = m for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 9*u**2 - 4*u - 3. Let z be k(-9). Let s = z - 15. Let l be (-4)\/(-14) - 33\/(-7). Solve r = -0*p - 5*p - s, 4*r + l*p + 12 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 20 + 6. Let x(y) = 6*y**2 + 32*y - 75. Is x(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a9 (base 15) to base 6\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 5*o + 1. Let z be b(-13). Calculate the greatest common factor of z and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -13*o**3 - o**2 - 4*o - 2. Let v(w) = -15*w**3 - w**2 - 5*w - 5. Calculate -4*t(m) + 3*v(m).\nAnswer: 7*m**3 + m**2 + m - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50961 is divided by 132?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 5 + 5 = 5*u, 20 = -4*w - 4*u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -62, -88, -116, -146?\n\"Answer: -q**2 - 23*q - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*p + 0*p + 2*p)*(1 + 5 - 3) - 50*p + 25*p - 11*p)*(0 + 1 - 3).\nAnswer: 78*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/2 - (11 - (-12388)\/(-1235))*-5. Let f = 4 + -2. Which is the second biggest value? (a) -2 (b) f (c) s (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/10*(-1)\/2*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 204902857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1917*a*c**2*x**3 + 5*a*c*x**3 + 4*a*c*x + 8*a*x + 11*x**3 wrt c?\nAnswer: -3834*a*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -797642\/135 - -59091\/10. Calculate the common denominator of r and -83\/570.\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-1*(sqrt(832) + 1))**2 - (sqrt(39)\/sqrt(3)*-3 + sqrt(52)\/sqrt(4)*5)).\nAnswer: 14*sqrt(13) + 835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.843 rounded to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l**3 + 2*l**2 - 4*l + 4. Let w be f(3). Let u = w + 71. Solve n = -u*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0.31, -2, 3, -1\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 16, 57, 118, 205, 324?\n\"Answer: n**3 + 4*n**2 + 22*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/312884 and -61\/705630?\nAnswer: 201810180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y**2 + 49*y - 7. Let r be f(-10). Determine w, given that 2*w**5 - w - 3*w**5 + 2*w**4 + 2*w**5 + r*w**2 - 5*w**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1322*a*l**2 + 31*a*l - 492*a + 35813159*l**2 + 2 wrt a?\nAnswer: -1322*l**2 + 31*l - 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111110100 + -11?\nAnswer: -10111110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*l = -66*l + 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -1. Let r(x) = -2*x - 2. Let y(k) = k**3 - 12*k**2 + 11*k + 2. Let z be y(11). Let v be z\/5 + 18\/30. Give v*r(p) - 4*l(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 44352?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.091 + 1.15. Let a = 43.441 + n. Let l = -36 + a. What is l rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**5\/60 - q**3\/6 + q**2 + 122. Let o(t) = 4*t**2 - 1. Let v be o(1). Let w(m) = -m**2. Calculate v*g(c) - 2*w(c).\nAnswer: -c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/9*d**2 + 0 - 4\/9*d = 0. What is d?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p, -20*r + 13*r = -4*p - 31171. List the prime factors of r.\nAnswer: 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3952, 0, 22059, 4 in ascending order.\nAnswer: -5, 0, 4, 3952, 22059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m - 6*m + 16*m)*(6 + 6 + 2)*(-4 + 0 + 2) to c*m + h and give c.\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -831 + 847 + 501\/(-30).\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3301 - -3300.7. Which is the fourth smallest value? (a) -37\/5 (b) -1\/5 (c) -5 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 0 - 5 - h + 0 - 1. Let w be i(-6). Let n be w + (2 - 1) + 0. Sort n, 0.1, 3 in ascending order.\nAnswer: 0.1, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 19*h**2 + 20*h - 30. Let q be n(18). Suppose q*s - 216 = -0*s. What is the remainder when s is divided by 15 - 1 - 0 - 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1455, 568, 2601, 4650, 6721, 8820, 10953, 13126?\nAnswer: 15345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-16)*(-5 - -9). Let b(d) = 4 + 2*d**3 - 1 - 2. Determine b(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of 32*r**3\/3 + 9*r**2\/2 - r. Is v(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t**2 + t + 1. Let n be u(-1). Solve k + n + 9 = -4*y, 0 = 2*y - 4*k + 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 (base 13) in base 6?\nAnswer: -451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 89.21678s?\nAnswer: 89216780000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -17*s**2 - 3. Let i(a) = 5*a - 12. Let n(f) = -14*f + 34. Let r(y) = -17*i(y) - 6*n(y). Give r(v(m)).\nAnswer: 17*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 292826312 to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**2 - 1 + 1 + (-3*z**2 + 2*z**2 + 3*z**2)*(2 - 1 + 1) - z**2 + 5*z**2 - 3*z**2 + 7*z**2 - 4*z**2 + 3*z**2 + 6*z**2 + 4*z**2 - 5*z**2.\nAnswer: 17*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 0 (c) -6 (d) -5 (e) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(68)*-2 - sqrt(68)) + sqrt(68))*4*3)\/(sqrt(36)*3 - 3*(sqrt(4) - sqrt(196))).\nAnswer: -68*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0*j = 2*j + 185, 68 = 2*r - 2*j. Let a = 5 + 9. What is the remainder when r is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85069529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -21*p - 12*p - 21*p - 49 - p**2. What are the prime factors of j(-20)?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, 0, 1, -2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1143.81 and -63.244495.\nAnswer: 1080.565505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 33\/154*77\/99\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(5) + (sqrt(40)\/sqrt(32) + sqrt(5))**2)*-1)*5.\nAnswer: -145\/4 - 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 - -3. Let r = -50 - l. Suppose c + 14 = -3*q, q + 3*q + 21 = c. What is the second smallest value in c, r, -1, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z - 18323 = 4951. List the prime factors of z.\nAnswer: 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 7 - 25 = -t, -50 = -5*t - 2*z. Let i be (-15)\/(-12) - 2\/t. Differentiate -i + u**4 + 0 - 3*u**4 wrt u.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**4\/24 - j**3 + 15*j**2. Determine b(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/210*-7*14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -213.3565388.\nAnswer: -212.9565388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102, 1124, 3886, 9258, 18110, 31312, 49734, 74246?\nAnswer: 105718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and -738836.43?\nAnswer: 14776.7286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28980 by -175.\nAnswer: -828\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 - 15*c**2 - 20*c + 60.\nAnswer: 5*(c - 3)*(c - 2)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iici when four letters picked without replacement from {f: 2, c: 5, i: 9, e: 3}.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.047 - 0.053. Which is the closest to r? (a) 1\/9 (b) 0.3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/15*747\/8217?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32880 and 1200.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 + 3)*(2*y + 1 - 1) - 4 - y + 4 + (-2 + 0 + 3)*(-5*y + 3*y + 4*y) + y + 0*y + y.\nAnswer: 17*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**11\/(b\/(b**(-1\/12)\/b*b)))\/(b**(-2\/11)*b*b*b*b*b**(3\/5)) assuming b is positive.\nAnswer: b**(3629\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/9)\/((x\/x**(1\/9)*x)\/x*x))\/(x*x\/(((x*x\/(x**(-3\/4)\/x))\/x)\/x)*x*x*x**(8\/3)*x) assuming x is positive.\nAnswer: x**(-91\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 17*f**3 + 3*f**2 + 3*f - 3. Suppose 0 = 4*g - 12, -256*z - 3*g = -257*z - 6. Let m(h) = 187*h**3 + 34*h**2 + 34*h - 34. What is z*m(a) - 34*j(a)?\nAnswer: -17*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -7. Let d(m) = -5*m**3 + m**2. Determine d(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2 + 5*f + 8. Let u be b(8). Let g = u + 209. Find the common denominator of 61\/3 and 4\/2 - g\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2278470?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 1 - 5. Let o = z - -12. Suppose 4*h + 15 = o*h. Sort 1, -2, h in increasing order.\nAnswer: -2, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*o + 29*o = 5*b + 12, 2*o = -5*b - 19 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -36. Let w(b) = b**3 + 21*b**2 + 19*b + 21. What is the remainder when w(t) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4605 rounded to 2 decimal places?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njxtjjjnk. Give prob of sequence kxj.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/10 and -85\/518.\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 697*s**2 - 932*s**2 + 50*s - 2 + 5*s - 1261*s**2.\nAnswer: -1496*s**2 + 55*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(0 + (-3)\/1). Suppose t*b + 36 = 3*b. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + -0.1. Let j = 3\/41 - 59\/246. What is the nearest to 0.1 in 2\/5, g, j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1305922976 a multiple of 509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d**3 - 1230*d**2 + 398 wrt d.\nAnswer: -3*d**2 - 2460*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 at least 748\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 2*d + 8, 0 = -2*h - 4*d + 20 - 4. Determine j, given that -3\/2*j**4 - 3\/2*j**3 - 1\/2*j**5 + h*j - 1\/2*j**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(7) + 2)**2 + sqrt(7))*4 - (3 + ((sqrt(294)\/sqrt(6))\/sqrt(7))**2))*-4*4 + -2.\nAnswer: -576*sqrt(7) - 1314","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68 + 52. Let h be 8\/(47\/o + 3). Suppose -a + h = -111. List the prime factors of a.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 160*i*k**2 - 7*i*k - 3034*i - 48*k**2 - 2*k + 3 with respect to k.\nAnswer: 320*i*k - 7*i - 96*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, s: 1, v: 4, t: 1, k: 3, f: 5}. What is prob of picking 2 v?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 times 7.8?\nAnswer: 756.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(462)*2)\/(-3*sqrt(11)*1))\/(-3*-2*(sqrt(864) - (sqrt(864) - (sqrt(864) - (sqrt(864) + (sqrt(864) - (sqrt(864) - -1*sqrt(864)) - sqrt(864))))))).\nAnswer: -sqrt(7)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-12)*w**(-3\/4))**(3\/22) assuming w is positive.\nAnswer: w**(-153\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wb when two letters picked without replacement from bvvmovwvcwbmwmv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1086.564 + -1086. Round a to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63.094 - -0.094. Let f = 61 + c. What is the second biggest value in -1, -5, f, 2\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/839 (b) -47 (c) 120\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-1))\/(4\/(-8)). Let w be m\/8 + (-5)\/10. Put -5, -11, w in decreasing order.\nAnswer: w, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8623 + -540803.5.\nAnswer: -532180.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -724*l + 322*l + 12864 for l.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.05 + 4.95. Put -2\/9, -1\/4, h in descending order.\nAnswer: h, -2\/9, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 12*y - 67. Let s be f(6). Suppose -s*a = 2*b - 110, -4*a + 3*b = -7*a + 57. Calculate the remainder when a is divided by (-4)\/(-18) - 460\/(-36).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*c - 98*c - 21 = -32*c - 32*c - 25*k - 19, 0 = c - 5*k + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 733, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3516 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 4 (b) 0.06 (c) -0.3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012422314574 to 6 dps.\nAnswer: 0.001242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/2 + (-6)\/(-12). Let a(d) = -d - 18. Let q be a(-14). Does 26 divide (q\/f)\/(2\/(-201))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (((-425936)\/(-42))\/8)\/((-3)\/(-9))?\nAnswer: 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303132320 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -1. Let l be (3\/(-6))\/(d\/(-2)). Which is the smallest value? (a) l (b) -0.5 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 10:50 AM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 + 343799?\nAnswer: 343705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2 = -2*r. Let y = -35 + 5. Let f be 2\/y + (-3)\/9. Which is the third smallest value? (a) r (b) f (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.853 + -1.147. Let h = -0.2 + -0.2. Sort h, 0.3, 3, a in increasing order.\nAnswer: a, h, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.6 - 2. Let o = 0.3 + t. Let k = 1 + -5. Sort 2, o, k in decreasing order.\nAnswer: 2, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gnnnfnfgggfgngffnfn. Give prob of sequence fng.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**2 + 0*i**2 + 0*i**2 + (-4*i + 5*i + 3*i)*(2 - 2 - 2*i) + 3*i**2 + i**2 + 13*i**2.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**8\/336 + s**7\/105 - s**6\/8 + s**5\/15 + 5*s**4\/6 - 2*s**2 + 9. Factor r(j).\nAnswer: j*(j - 2)**2*(j + 1)*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 655030?\nAnswer: 2, 5, 31, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 926 (b) -3 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238 = 36*n + 634 - 224 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5692 + 5462. What is the third biggest value in -0.5, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60251112 divided by -6\nAnswer: 10041852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0035871 rounded to 4 dps?\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 13 (b) -7 (c) -2 (d) -19 (e) -0.394\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 134*c**2 - 310*c - 1806. Determine h(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211002221110 (base 3) to base 10.\nAnswer: -435171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(12)\/sqrt(4))**2 + -5 + 0 + sqrt(3) - (4*sqrt(12) + 4 + (sqrt(3) - sqrt(9)\/sqrt(3))**2).\nAnswer: -7*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12115146 + 0?\nAnswer: -12115146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003176 rounded to five decimal places?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5855*m + 5827*m - 11697*m.\nAnswer: -15*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4560976697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -483 divided by 23?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(2\/49)\/(g\/g**(-8)))**(1\/6))**(1\/2))**(4\/17) assuming g is positive.\nAnswer: g**(-439\/2499)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -57 and 6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224535604.\nAnswer: 2, 31, 1810771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of q**2 + 2*q + 2. Suppose 0 = v + 4*i + 15, 7*v + 5 = 4*v - 4*i. Suppose v*m + 0*m + 14 = 2*p, -p - 8 = 5*m. Calculate g(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -34738*q + 157. Let n(t) = t. What is n(a(p))?\nAnswer: -34738*p + 157","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.107028 and 252.2159.\nAnswer: 252.108872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 3)\/((28\/2)\/14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -153248 less than -0.222?\nAnswer: 153247.778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -17*o**3\/6 + o**2\/2 - 2*o. Let g be y(-1). Suppose g = 3*w - 6. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -u**6\/360 - u**5\/30 + u**4\/4 + u. Let b(n) be the third derivative of s(n). Differentiate b(t) wrt t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o**2 + 7*o - 8. Let q be (-36)\/(-8)*(-12)\/9. Let s(n) = n**2 - n + 1. Suppose 4 + 1 = -5*u. Determine q*s(f) + u*j(f).\nAnswer: -2*f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -5 + (-23)\/(184\/(-3056)) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-60)*4)\/(4\/(-8))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 8*n**3 + 4*n**2 - 8. Let y(r) = 17*r**3 + r**2 + 6*r - 5*r**2 + 13*r**2 - 17 - 6*r. Give 13*d(u) - 6*y(u).\nAnswer: 2*u**3 - 2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/84 - (-13)\/(-12).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 = -r, 0*r - 3*r = -5*i + 3. Let q be -4 + -3*r\/(-3). Solve 0 = -3*b - q - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**5\/4 - 5*k**4\/2 + 5*k**2\/2 - 3*k\/4 = 0. Calculate k.\nAnswer: -1, 0, 1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 12:30 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 + 428*j**2 + 36096*j - 73872.\nAnswer: -4*(j - 162)*(j - 2)*(j + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -31*w**3 + 13*w**2 - 36*w - 169. Is d(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -34 + 34 + 14*q**2 as i + o*q + r*q**2 and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -3*z**5\/7 + 81*z**4\/7 - 702*z**3\/7 + 1986*z**2\/7 - 495*z\/7 - 3267\/7 = 0.\nAnswer: -1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10465.\nAnswer: 5, 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17180 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 538 divide 47788460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 3:50 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 6186 + 6174 = -2*t, 2*t - 20 = -6*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -11?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-10 - ((-10 - 21) + 4)) - (0 - 33).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*p - b, -6 = 3*b. Let c = 5 - -3. Let g = p + c. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, -1\/2, 3, -4, 8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9083.55 millilitres to litres.\nAnswer: 9.08355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6400 and 0.0051.\nAnswer: 6400.0051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a - 6. Give j(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-12)*0)\/(-2). Suppose -s + w = -a + 6, 5*a = -2*s + 30. Which is bigger: 7 or a?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 295, 297, 299, 301, 303, 305?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - 59*4\/(-2). Let z = -78 + w. Is 21 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13569654 or 6?\nAnswer: 13569654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -68*f**5 - 3*f + 216 wrt f.\nAnswer: -1360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132443120 (base 6) to base 8.\nAnswer: -12067170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**3\/5 - 8387*g**2\/5 + 6700*g + 268256\/5 = 0. Calculate g.\nAnswer: -4, 8, 8383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 50\/18 + (-4)\/(-18). Let q(v) = -v - 2. Let t be q(-4). Solve 4*x = h*c - 8, 2*x - 11 = -t*c - x for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + 144 - 159 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 33 + 49 - 205 - -50\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y. Let u(r) = 1104363*r. Calculate v(u(x)).\nAnswer: 4417452*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5256925, -10513981, -15771037, -21028093?\n\"Answer: -5257056*v + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v. Let t(i) = i**2 + 3*i. Let h(r) = 4*q(r) - 5*t(r). Suppose -4*p = -32 + 8. Suppose -n - p = -f - 2, -5*f = 2*n + 1. Give h(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*w - 248 + 32. Let l(a) = a**3 + 5*a**2 - 5*a - 4. Let y be l(-4). Suppose y = x + x. Calculate the least common multiple of x and w.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14 or -469\/33?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12*-132.\nAnswer: -15.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -76a5787 - -4?\nAnswer: -76a5783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 10) in base 15?\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/8571747 and -1\/139605?\nAnswer: 42858735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24 - (-5166)\/216)\/(81\/24). Let i be (-9)\/12 - 34\/(-24). Which is smaller: i or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.92109 - -0.07891. What is the nearest to -0.9 in -1.8, 0.04, w?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/(-5) + (-4 - 57\/(-15)). Solve -4*i = -o - 13 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(66)\/(sqrt(42)\/sqrt(7)) + sqrt(11) + 0) + (-4*(sqrt(1331) + -3*sqrt(1331)) + sqrt(1331) + -2 + sqrt(1331) + sqrt(1331) + -3)**2.\nAnswer: -1212*sqrt(11) + 161076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 4 - -4 - 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26292 to the power of 1\/2, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*l + 998 = -524, 4*u - 6116 = -l. Suppose -u = -6*d - 3*d. Calculate the greatest common factor of 51 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/sqrt(4) + -4 + 5 - sqrt(55)\/(sqrt(125) - (sqrt(125) + (sqrt(125) - (2*sqrt(125) + sqrt(125) + sqrt(125)) - sqrt(125))) - sqrt(125)))**2.\nAnswer: 28*sqrt(11)\/15 + 2381\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -27627, -27566, -27505, -27444?\n\"Answer: 61*j - 27688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -219 - -222. Suppose -4*g + 3 = -5*g, -n*x = -g - 3. Solve x*d - 20 = -5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 41\/12*w**4 - 122*w + 1\/6*w**3 + 0 + 0*w**5 + 0*w**2 - 83\/30*w**6. Find the third derivative of r(n) wrt n.\nAnswer: -1992*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7562 and 456.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 10 - 2\/3*w**3 + 0*w**2 + 0*w**4 + 0*w**5 + 0*w + w**6. What is the third derivative of b(l) wrt l?\nAnswer: 360*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -162, 5, 3\/14, 7544 in descending order.\nAnswer: 7544, 5, 3\/14, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*u - 2*u. Suppose 1 - 65 = -u*z. Calculate the least common multiple of z and 82.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 83*m - 34 + 103, -2*j + 28 = j - 7*j for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xoo when three letters picked without replacement from {x: 3, o: 4}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -54\/38665 and -79\/182780.\nAnswer: 2010580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) + -4 + 3*sqrt(720) + 5 - (-5 + (sqrt(720) - (2 + sqrt(720)*-1)) + sqrt(720))) + 2)**2.\nAnswer: 240*sqrt(5) + 820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16327 and 9728077?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*b**6*u**3 - 21*b**3*u**3 - 3*b**2 - 309*b*u**3 wrt b.\nAnswer: -2640*b**3*u**3 - 126*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 14, 47, 4, -8 in decreasing order.\nAnswer: 47, 14, 4, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q**2 + 13*q**2 - q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -48157\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22120 = 5*i - 2*a, -8*i + 4*i - 3*a + 17696 = 0. Is 28 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6622 + 6622.2. What is the second biggest value in -4, -309, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u = 667 - 597 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 30, -5, -394, 3\/5?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 301 - 290. Which is the third smallest value? (a) -0.16 (b) 2\/7 (c) x (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 21*a - 644. Determine l(32).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 83805\/38 and 2204 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 0.4, -3, -8.51, -2.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 13*g**2 - 6*g + 7. Let r be s(1). Solve 0 = -r*b - 36 - 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 + 45. Let y be 30\/(-2)*(-12)\/15. Let d be (-4)\/y*2*-21. What is the highest common divisor of i and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - 8*67535\/10. Let a be (y\/52)\/(-6) + (-2)\/13. What is a rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6962, 31, 10, 1, -13 in decreasing order.\nAnswer: 6962, 31, 10, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -12 - 455*i**3 + 443*i**3 - 9*i + 8 - 9*i**2. Let b(r) = -3*r**3 - 2*r**2 - 2*r - 1. Determine -9*b(u) + 2*c(u).\nAnswer: 3*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, -1\/10, -1816, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 152 = 4*b - 0*m, -5*b + 5*m - 230 = 0. Is b\/(-70) + (-964)\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -217 - -525. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 25\/(-15) + 10\/6. Suppose 3*l = -3*w + 5*l + 82, 16 = 4*l. Let h = w + -21. Sort 5, h, j, 3 in increasing order.\nAnswer: j, 3, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 1. Let o(u) = u**3 + 4*u**2 - 2*u - 2. Let m(h) = o(h) + 3*v(h). Calculate m(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 11 + (5 - (-6 - -4) - 13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -47533*j + 142615. Give p(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -7*g + 318. What is the remainder when 48 is divided by p(44)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1499 - -a?\nAnswer: -148b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 + 15*h - 42.\nAnswer: 3*(h - 2)*(h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - (38 - 19) - ((8 - 4) + -20).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 62b2 - 9?\nAnswer: 62a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 488702*x.\nAnswer: -488702*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1720173 is divided by 571?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q + 7. Let i be c(-10). Let h be 1*3\/(-9)*i. Is 1 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 749?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*v = -552, 178*v + 138 = x + 173*v. Calculate the remainder when 277 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -33100142354?\nAnswer: -33100142345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 5:42 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 480007561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1197 = 4*y - 3*f, -y + 5*f = -4*y - 876. Let q be y\/(-9) + 4 + -2. Calculate the remainder when 1*14\/q - 18\/(-5) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16328)\/(-28) - (-4)\/(-28) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002441 to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 156837?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - -0.3. Let k = 551 - 545. What is the nearest to 1\/3 in k, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -117, 6, -96 in increasing order.\nAnswer: -117, -96, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16142456 - -103?\nAnswer: 16142562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4700 = -10*f + 9441 - 3061. What is the remainder when f is divided by 62?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + -14 - 24\/8. What is the second biggest value in 1, s, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, 0.5, -1\/4, -1\/74, -0.3 in ascending order.\nAnswer: -5\/4, -0.3, -1\/4, -1\/74, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 - 10*r - 9. Let o be i(6). Suppose 33 = 3*c + 10*v - 14*v, -o*v = 4*c - 19. Solve -3*t = 5*u - 12 - c, -3*t = 6 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26152*a**2*f*s**2 + 39*a**2*s**3 + 509*a**2 + a*f*s**3 + 5*a wrt f.\nAnswer: -26152*a**2*s**2 + a*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 22815.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 374853, 749724, 1124605, 1499502, 1874421, 2249368, 2624349?\nAnswer: 2999370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: a062 (base 16) to base 2\nAnswer: 1010000001100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -7*g**3 - 4*g**2 + 76. Let d(y) = 9*y**3 + 5*y**2 - 77. Determine 4*d(x) + 5*h(x).\nAnswer: x**3 + 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-902 - -891) + -3 + 3 + (-4 - 3).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**3 + w**2 + 13*w + 6 = 0. Calculate w.\nAnswer: -2, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 - 7539871*z - 7539870.\nAnswer: -(z + 1)*(z + 7539870)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m + 3*m - 4*m)*((-m + 2*m + m)*(-29*m - 44*m + 12*m) + (47 - 25*m - 47)*(3*m + 0*m - 2*m)) to c*m**2 + b*m + n*m**3 + z and give n.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 11*c. Let g(u) be the second derivative of -7\/6*u**3 + 0 + 0*u**2 + 130*u. Calculate g(z(l)).\nAnswer: -77*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/21 - 19\/(-7). Solve -3*s - 3*l = -4*l - 16, 0 = 3*s - w*l - 24 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 - 275*p + 7058. What is k(112)?\nAnswer: 1346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1412 + 1416 + (0 + -22 - 0).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - 14 - (-1 + 4 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/14)\/((-8454)\/19726).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.258? (a) -0.1 (b) -3 (c) 89 (d) 0.5 (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*v - 7 - 16*v + 21*v)*(-3 + 3 + v) to the form k + n*v + h*v**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -135 + 225. Let l = t + -90.5. Let o = -15\/4 - -109\/28. Which is the nearest to -2? (a) 1\/3 (b) o (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*14981828.\nAnswer: -1498182.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3290645 and 4270?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hccfuhuucuhccrhfuchf.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 3. Let r(b) = -b**2 - 58*b. Calculate r(i(f)).\nAnswer: -f**4 + 52*f**2 + 165","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1392 divided by -48?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 541899.861 - 542205. Let v = -304.519 - 0.481. Let k = l - v. Round k to 2 dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d**2 - 2*d - 23. Give g(-4).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 404 - (0\/(-7) + 8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65)*3 + sqrt(65) + sqrt(65))*6 + sqrt(65))\/(sqrt(5) + sqrt(5) + sqrt(20)*-2 + sqrt(5)).\nAnswer: -31*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -2. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*((u\/u**(3\/31))\/u)\/u)**37\/(u**18*u**(-10\/11)\/u) assuming u is positive.\nAnswer: u**(-6708\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2\/9, -3806, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97 + 17*w**2 + 92 + 358 - 118.\nAnswer: 17*w**2 + 429","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 + 60. Let h = -72411 + 72415. Solve 13 = s - 4*b, 2*b - 4*b - u = h*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 0*t**3 - t**2 - 2 + 1\/12*t**4 + 0*t. Let d(w) be the second derivative of r(w). Let u(x) = 2*x. Determine d(u(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1 - 94*k**3 + 55*k**3 - 3 + 50*k**3 + 1.\nAnswer: 11*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/234*1618380\/(-39960)?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (18\/(-7) - (-16)\/28) + 14241.\nAnswer: 29, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 l when two letters picked without replacement from {x: 9, k: 2, l: 1, j: 3, i: 3}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 9. Let a be (-5)\/20 - (-34)\/8. Calculate the remainder when h is divided by ((-2)\/a)\/(4*3\/(-216)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-20)\/6)\/((-7)\/966*56\/938)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 2*a + 80. Suppose 4*w - a = 6*w. What is the tens digit of 318\/5 - (-6)\/w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21\/8*p - 3\/8 - 6*p**3 - 3*p**2 = 0. What is p?\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 7*c + 1. Suppose 6*q = 7*q - 2. List the prime factors of h(q).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11914.32 - 0.4\nAnswer: -11914.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 581923 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and 1397187.46107916.\nAnswer: 1397187.86107916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**3\/5 - 18*v**2\/5 + 132*v\/5 - 112\/5 = 0.\nAnswer: -14, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 496*n + 7469. Determine u(-15).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2186, -2212, -2238, -2264?\n\"Answer: -26*w - 2160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1 + -1.8. Let u = t + 0.8. Suppose 3*k + k = -12. Which is smaller: u or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, 5, -0.4, -1\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 227293, -2, -5 in increasing order.\nAnswer: -5, -2, -1, 227293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355 >= 1355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2074 is divided by 853?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 6. Suppose -a - c = -6*a. Suppose -p - 7 = -3*r, -a*p - 2*p = 4*r - 20. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*j - 634 = 31*j. Let s = 8 - j. List the prime factors of s.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 13. Let r(j) = -2123732*j. Determine o(r(x)).\nAnswer: -4510237607824*x**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iltttllllt. What is prob of sequence lt?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17256)\/31636*(2\/42)\/(-1))\/(-1).\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4971387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of 89*r**6\/360 - 17*r**5\/120 - 2*r**4\/3 + 38*r**2. Let m(z) be the second derivative of h(z). Is m(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of u**3\/2 - 3*u**2 + 2*u. Let w be 11\/(-1) - 6\/(-3). Let t = 14 + w. Determine s(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*r - 570 + 327 = 0 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7876, -5, -343.\nAnswer: -7876, -343, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of 223*k**7\/210 + 13*k**5\/12 - k**4\/4 - 2*k**2 - 35*k. What is the third derivative of c(m) wrt m?\nAnswer: 5352*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 204\/374*66\/4. What is the highest common factor of 333 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 18*s**2 + 2*s - 33. Let a be k(18). Suppose -5*m - 5*q + 3435 = 0, -a*m = -m - 2*q - 1374. List the prime factors of m.\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 8:35 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 11*d**2 - d - 8. Let t be n(-11). What are the prime factors of 7\/(105\/395)*t\/1?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (0 + 0)) + -5 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1539297600 to the nearest integer?\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.2 and 3?\nAnswer: 6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3569.\nAnswer: 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/126153 and 56\/33.\nAnswer: 1387683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**9\/1512 + g**5\/120 + 5*g**4\/4 - 4*g**2. Let o(b) be the second derivative of c(b). What is the derivative of o(l) wrt l?\nAnswer: 40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekjgqkjqjqq. What is prob of picking 1 k and 1 q?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**3 - 3*x**2 + 3*x + 1. Let r be 2\/1*(-2 - (-88)\/16). Let n = r + 0. Let a(m) = -5*m**3 + 7*m**2 - 7*m - 2. Calculate n*w(l) + 3*a(l).\nAnswer: -l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75 - -78. Let z(r) = r**2 - 2*r - 8. Let k be z(5). Solve -5 = -p*u + k for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 660 and 420?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d - 4c6066?\nAnswer: -4c6059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12545308.\nAnswer: 2, 3136327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1759475 to the power of 1\/3, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-133))\/(((-4)\/(-1))\/(-8))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -28449, -28767, -29079, -29385, -29685, -29979?\n\"Answer: 3*f**2 - 327*f - 28125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f - 5. Let d(q) = -1876*q + 28. Give -d(i) - 6*v(i).\nAnswer: 1882*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11609608 - -5?\nAnswer: 11609613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 2. Let p be (-4)\/18 + (-101)\/(-9). Let y(t) be the first derivative of t**3\/3 - 5*t**2 - 11*t + 30. Let b be y(p). What is i(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/5)\/d*d)**(-2\/77)\/((d*d**(-1))\/(d*d**9)) assuming d is positive.\nAnswer: d**(3854\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00147917 to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/3)\/((-44)\/132)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k**2 - 705343718 + 705343718.\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001165128 to 7 dps.\nAnswer: 0.0001165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z - 24. Let n be l(-5). Suppose -17*d + 1 = n. Suppose d = 5*p - 4*o - 114, p - 39 = -4*o + 3. What is the remainder when p is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4906 = -9*l. Suppose 14*g - l = 954. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -1 + 12 - -12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y + 1. Let d be u(1). Let m = 46 + -37. Let v be (0 - 0) + (m - -4). Solve 2*n + 5*w - 6 = 1, w + v = -d*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 269724417 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*m - 10*m - 18 + 29*m)*((3*m**3 - 12*m**3 - 10*m**3)*(1 - 1 + 1) + 4*m**3 - 2*m**3 - m**3).\nAnswer: -72*m**4 + 324*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -1 - 1. What is the remainder when 104 + (-2)\/(-2)*a is divided by (-4592)\/(-210) + -22 + (-7)\/(315\/(-996))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -65*h - 42. What is the hundreds digit of f(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2912, -5862, -8958, -12272, -15876, -19842, -24242?\nAnswer: -29148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kfzk when four letters picked without replacement from {z: 2, k: 3, q: 1, f: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g = -4*j + 230, 15*j + 2*g = 10*j + 58 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2*g + 0*g + g)*(4 - 4 + 8*g) as c*g + s*g**2 + w and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a gram in milligrams?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y - 20*y**3 - 11*y**3 + 2*y + 32*y**3 + 2. Let r be w(2). Solve 3*h - u - u = -2, r*u + 8 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*n = 0, -5*n = f + 4*f + 45. Which is smaller: f or 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 908*k*l + 4*k + 3*l + 1922 wrt k?\nAnswer: 908*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36807802513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -5*w + 49, -73*h + 77*h + 4*w = 60. Solve 5 + 11 = 3*a + 5*b, 2*b - h = a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*c + 2 + 2*c - 2 + (-6*c + 4*c + c)*(-3 + 5 + 0) + 2*c + 3*c - 4*c + 2*c + 3*c - 3*c)*(-12 + 4 + 4)*(2 + 3 - 7).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-16)\/192)\/((-1)\/3). Is h >= 0.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15839619*v**4 - 11634408?\nAnswer: -63358476*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 673*l - l**2 - 673*l + 4 + 234 in the form w + c*l + q*l**2 and give w.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 990 - -1*(6 - 3). Suppose 88*i = 91*i - l. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/108)\/(2\/54*3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 6276*q + 106. Let n(f) = f + 18. Calculate -c(p) + 6*n(p).\nAnswer: -6270*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 10.5. Let q = v - 1. Let k = -2\/225 - -49\/450. Which is the nearest to -0.1? (a) 3\/4 (b) k (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -102 + 189 + (-56 - -85)?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 24*n**2 + 57*n + 149. Let s be u(22). Calculate the greatest common divisor of s and 1131.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ca when two letters picked without replacement from gcace.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.62 + 0.06.\nAnswer: -3.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.368334 minutes in seconds?\nAnswer: 22.10004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 73*h + 763. What is the remainder when 913 is divided by n(79)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -143*(135\/(-81) - 1\/3) is divided by 85.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36879734.\nAnswer: 2, 18439867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4645771, 9291546, 13937321?\n\"Answer: 4645775*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1264063, -1264054, -1264041, -1264024?\nAnswer: -1264003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r - 7. Let w(i) = i - 1. Let p be w(-6). Let f(q) be the third derivative of q**4\/12 + q**3\/2 - 9*q**2. Determine p*f(z) - 3*l(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/12 + (-26 - (70304\/78)\/(-16)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3\/5 - 534*c**2\/5 - 1077*c\/5 - 108.\nAnswer: 3*(c - 180)*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -6*b - 20. Give x(-13).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 570459 is divided by 83.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 5*f - 11 = 0, 4*f - 1 = 4*t + 3 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48.8 * 4.\nAnswer: -195.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 34538\/88 - (-2)\/8. Let q(z) = -z**3 + 5*z**2 - 4. Let d be q(-6). Let b = d - h. Find the common denominator of -17\/3 and b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.3, 391, -6, 6, 5, 36 in ascending order.\nAnswer: -6, 0.3, 3, 5, 6, 36, 391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -7 - (-5 - 5 - (-1 - 13))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -11*a**2 + 2. Let i(u) = -6842*u**2 - 3365. Let k(j) = f(j) + i(j). Differentiate k(l) with respect to l.\nAnswer: -13706*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 9*t**2 + 17*t - 63. Calculate l(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 108\/48 + (6 - 8). Let b(h) be the first derivative of -3\/16*h**4 + 9 - 1\/8*h**2 + g*h - 5\/12*h**3. Factor b(c).\nAnswer: -(c + 1)**2*(3*c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.1 - 1.84?\nAnswer: -9.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -836925 + 62.\nAnswer: -836863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 119446654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 112816 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5997 - -1.5997. Let t = 0.451 + -0.051. What is the nearest to 0.1 in -1\/3, l, 65, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98979, 197959, 296941, 395925, 494911?\nAnswer: 593899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -105 (b) -5\/6 (c) -9\/3659 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 793 = 2*g + 7651, -2*g = -5*h + 21098. Does 37 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 4*j = -140, -790 = -26*t - 135*j + 133*j for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 581 (b) 1 (c) -2.1 (d) -12 (e) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5544439 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(((3*(sqrt(17) + 0) - sqrt(119)\/(sqrt(7)*-1)) + 3)*-1 + 1))**2.\nAnswer: 576*sqrt(17) + 9936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229 = 3*b - y, -4*y - 83 = -3*b + 131. What is the highest common divisor of b and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166, 174, 188, 208?\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*n + h = -25*n - 5, -4*n - 5*h - 49 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**2 + 5*i**2 + 3*i**2)*(-i**2 - 3*i**2 + 2*i**2) + (3*i**3 + 0*i**3 - i**3)*(-4*i - 2*i + 4*i) - i**4 - 4*i**4 + 3*i**4.\nAnswer: -12*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83514 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 333?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28506 smaller than -74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 155559017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4974 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 58500624 and 168?\nAnswer: 58500624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*i + 47*i - 7*i + 6*i - 3*i + 2*i + 5*i - 4*i + i - 3*i - 4*i + 3*i + (-4*i + i + i)*(5 - 1 - 2).\nAnswer: 28*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.2 - 4. Let w = -5.2 + t. Let k = -5.99999944 - w. What is k rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -192*g - 368 with respect to g.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(729))\/(5*-2*sqrt(3)*1) + 0.\nAnswer: 27*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.440778002 to 3 dps.\nAnswer: 0.441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -1\/3, 39\/5, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 25 + 94 = 36. Let f(r) = -26*r + 6. Let n(a) = -5*a + 1. Determine l*n(o) - 2*f(o).\nAnswer: -3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 11*w + 7. Let j = -10768 + 10772. Determine u(j).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**3 - 5*s**2 - s + 7. Let g(w) = -w**2 + w + 5. Let d be (4\/(-3) + 1)*0. Let j be g(d). Is q(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -3*v**5\/5 - 3*v**4 - 4*v**3 - 30. Factor j(h).\nAnswer: -3*h**2*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11 (b) -0.23 (c) 1\/4 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2976988, -5953972, -8930958, -11907946, -14884936, -17861928?\n\"Answer: -j**2 - 2976981*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1471 + -1474. Let y(w) = -w + 5. Let b(k) = -5. Determine v*b(j) - 2*y(j).\nAnswer: 2*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -a**3\/3 - 34. Let g(u) = u + 0*u + 0*u + 2*u. Calculate t(g(o)).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -922 - 482. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*(sqrt(52) + (sqrt(208))**2) + -5*-6*sqrt(468)*-2.\nAnswer: -364*sqrt(13) - 414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1847\/4 - -462. Let v = 8.6 - 15.4. Is d smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) 3\/7 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -727760265 by -3.\nAnswer: 242586755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/13, -1\/3, 2.7?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -1\/12*u**4 + 1 + 3*u**2 - 2*u - 1\/6*u**3. Let r(j) be the first derivative of k(j). What is r(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 9. What is the remainder when z is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 1310489758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -15 + (20 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011101100001100 (base 2) to base 11.\nAnswer: 55660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(10)*1 + sqrt(10) + sqrt(10)) + sqrt(10))\/(sqrt(5)*2*5).\nAnswer: 13*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7068954 is divided by 905.\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49559, 99027, 148391, 197645, 246783?\nAnswer: 295799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 4*y - 5*l + 6*l, 3*y - 15 = -3*l. Solve -4*t = t - y for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -401, -766, -1131, -1496?\n\"Answer: -365*v - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4720*k**4*w**2 + 5*k**3*w**3 - 1695887*w**3 wrt k.\nAnswer: 18880*k**3*w**2 + 15*k**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/1911 and 40\/33.\nAnswer: 21021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*t + 75 = 107*t. Is 8 + -11 + 8310\/t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -71.4, -1\/6.\nAnswer: -71.4, -6, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 - -46. Suppose -34*h - 90 = -39*h. Put 4, h, a, 1 in decreasing order.\nAnswer: h, a, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 575049961 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -16*b. Let v(h) = h + 1. What is -2*l(q) - 2*v(q)?\nAnswer: 30*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 22*z. Let u(f) = 3*f**2 + 175*f. Calculate t(u(s)).\nAnswer: 66*s**2 + 3850*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-4 + 2 + 3)) + -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 555897 or 555682?\nAnswer: 555682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*n**3 - 5*n**2 - 99*n**3 + 5*n**2 + 47*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b - 3*b + 2 + 0. Let o be q(4). Let k(p) = 9*p**2 - 2*p. Let j be k(o). Calculate the greatest common factor of 5 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 + -69 + (-170)\/34\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.347 + 159?\nAnswer: 154.653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 10:13 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o + 8. Let c be s(-8). Let g(l) = -l + 2. What is the lowest common multiple of 21 and g(c)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3862816?\nAnswer: 2, 120713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 h when four letters picked without replacement from {f: 4, h: 3, r: 3, j: 2, d: 7}.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 12 = -5*b, -5*m + 20 = 5*b. What is the closest to 0.2 in m, 1\/6, 4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 74*k**5*w + 1743*k**3*w**3 + 78*k**2*w**3 - 2*k*w**3 + 233*w**2 wrt k.\nAnswer: 4440*k**2*w + 10458*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176240568 and 252.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -8, -0.0449, 1\/3, -3, -0.024?\nAnswer: -0.0449","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162459*t + 162501*t = -1008 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k - 2. Let f be b(7). Let g = -296 - -311. Suppose h + 86 = 2*h - f*n, -g = -3*n. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 57*g**2 + 225*g - 14. Let r be b(-4). What is the fourth smallest value in 406, r, -1\/8, -5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 3*y - 2. Suppose 4*j = 9 - 25. Let p be t(j). Suppose -p*l = -5 - 1. Solve -4*o = 3*u + 15, 3*u - 7*u - l*o = 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 60867534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, w: 1, v: 1, c: 1, u: 2, r: 1}. What is prob of picking 1 u, 1 w, 1 p, and 1 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1040)\/572)\/((-535)\/(-18832)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 8*w**2 + 479*w + 6722. What is r(-23)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.5, 5, -28 in descending order.\nAnswer: 5, 2.5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1144984123?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03327 rounded to three dps?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3721?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z + 2. Let w(h) = h + 1. Let q(c) = -3*c - 1. Let u(f) = -q(f) - 2*w(f). What is -4*i(a) - 7*u(a)?\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/7 + (-1800)\/(-70). Let w(j) = -j**3 - 6*j**2 + 5*j - 1. Let r be w(-7). What is the greatest common divisor of k and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2432731017?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17 + 6*f**3 - 17*f**3 + 17 + (-1 + 1 + f)*(-f**2 + 7*f**2 - 2*f**2).\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7381232ml to litres.\nAnswer: 0.0007381232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121541.2006 plus 0.005?\nAnswer: -1121541.1956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t + 11. Let y be u(7). Suppose -y*l - 14 = -20*l. What is the remainder when (13\/4)\/((-1)\/(-4)) is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-372*r**2 + 761*r**2 - 483*r**2)*(-7*r - r + 3*r) + 2*r**3 - r**3 - 2*r**3.\nAnswer: 469*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-11 + 8 + 6 + 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33147816257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 32968 = -335128. Let b = -12865 - a. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*o + 853142 = 142643. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 369146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1945141 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22786911 is divided by 786.\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 990 - -27*6\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42962206, 85924421, 128886636, 171848851, 214811066, 257773281?\nAnswer: 300735496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express g - 4*g - 17*g**2 + 3*g as h + m*g**2 + u*g and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*z + 603896 = 2*d - 92*z, 0 = 4*d - 5*z - 1207774. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v**3 - 2*v**2 - 3*v. Let w be n(-2). Suppose -o + 6*o = w. Suppose o*q - 5*q - 1 = 0. What is the lowest common multiple of q and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**4 + 35*k**3 + 130*k**2 - 360*k = 0. What is k?\nAnswer: -4, 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/29, 1.2, 2, -1\/2, -27?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -9 - ((-2 - 7) + 29) - -3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k - 7. Let x(z) = z - 3. Let y(n) = -3*i(n) + 7*x(n). Let w = 1 - -2. Let d(u) = 4*u + 2*u - 2 - w*u. Determine -d(g) + 4*y(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, d: 3, z: 1}. Give prob of picking 1 d and 1 k.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**5\/120 + b**4\/48 + b**2 + b. Let d(j) be the first derivative of g(j). What is p in d(p) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 978 and 3764811.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 9*y + n = 43, 0 = -3*y - 4*n + 67. Is y a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k**4 + 82884*k**3 - 114562224*k**2 + 183021168*k + 91543728 = 0 for k.\nAnswer: -2\/5, 2, 2762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxxqhhhqh. Give prob of picking 3 q.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -380 + 379. Let f(w) = w**2 - 13*w + 14. Let x be f(12). What is the nearest to v in -2\/9, -5, x?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4 = -3*g, 0*q = 2*g + 3*q + 2. Let r(n) = n + n - n - g*n + 9. Suppose 5*i + 2*o = -o + 55, -4*o + 20 = 0. Give r(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -52a7 + 8c?\nAnswer: -521b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.076 (b) -4 (c) 4 (d) -4\/3 (e) 0.013\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.45 (b) -65 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2108 + 106 - 75 = -67*k for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 3. Let z(g) = -8*g + 3. Let b(l) = 5*l - 4. Let v(x) = -14*x + 13. Let t(q) = 7*b(q) + 2*v(q). Determine y*z(d) + 5*t(d).\nAnswer: 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 * 37333702.\nAnswer: -22400221.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 32*p**2 + 87*p + 7. Give l(-29).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -67229?\nAnswer: -4\/67229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 3*h + 4. Let m(s) = -s + 1. Let q(p) = 3*m(p) - n(p). Calculate q(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3*l = 16, -11*w + 9*w = l + 6. Which is the third smallest value? (a) -31\/3 (b) 9 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-245))\/((-5)\/(-100))\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-90) - (-4)\/(-18). Let d(r) = -3*r + 111. Let p be d(35). Which is the closest to 1\/7? (a) n (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - (4\/(-22) + (-19800)\/242). Solve 4*z - h = -90 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120021 (base 3) to base 6.\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8502, -23571, -38640, -53709?\n\"Answer: -15069*n + 6567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 10 = 0, -3*x - i = -4 - 6. Suppose 4*u - 519995 = -5*k, -10*k = 3*u - x*k - 389995. What is u rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - s - 2*a - 2522 = 0, -s = -5*a - 1277. What are the prime factors of s?\nAnswer: 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(245) + 1 + sqrt(245) + 5 + 2 + sqrt(245) + 1 + 4 + (sqrt(245) - ((-1*sqrt(245) - sqrt(245)) + -3)))**2*-5 + 1.\nAnswer: -44944 - 5460*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -12*v**2 + 160*v - 33. Calculate s(13).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 246*p + 2806. Is 3 a factor of a(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30671035 to the power of 1\/3, to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2 - 10*k - 21. Let j(z) = -z**2 - 5*z - 11. Let m(u) = 11*j(u) - 6*v(u). Let s(p) = -3*p**3 + 62*p**2 - 42*p + 36. Let r be s(20). Give m(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c = -18*c + 15. What is the second smallest value in c, -0.2, -24?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 22*u**3\/3 - 45268*u**2\/3 + 478910*u\/3 + 180136\/3 = 0.\nAnswer: -4\/11, 11, 2047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 2*g + 37. Give c(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13530216?\nAnswer: 2, 3, 7, 80537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1122102000020 + 200201?\nAnswer: -1122101022112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 + -21302072873\nAnswer: -21302072872.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1175 - 2763?\nAnswer: -1577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1631 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2468607762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/17 (b) 2 (c) -1\/2 (d) -0.07 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 4*q**2 + 8*q - 5. Let d be s(5). Let x be (-3)\/(-10)*2325\/d. Let l = x - 93\/4. What is the common denominator of l and 23\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 3*p**2 - 3*p**2)*(0*p**2 + 2*p**2 - 3*p**2) + 3*p + 23472*p**3 - 58*p**4 - 46939*p**3 + 23481*p**3.\nAnswer: -57*p**4 + 14*p**3 + 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*91869874\nAnswer: 18373974.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 29*y**2 + 28*y - 88. What is t(-28)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 44*b**2 + 7*b + 83. List the prime factors of k(18).\nAnswer: 89, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-55)\/10 + 6)*(11 + 1). Let l(p) = 2*p**2 + 1. Let u be l(-1). What is the second derivative of -5*v + 12*v - q*v + 4*v**5 - u*v wrt v?\nAnswer: 80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70284 = 4*h + 4*w, w + 4*w - 35136 = -2*h. Suppose 3*a + 2*a = -o + 17549, -a - h = -o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**2 - g**2 + g**2 - 3 + 7*g**2 + 3 + (-2*g + 5*g - 5*g)*(-4*g + g + 2*g) + 358*g**2 - 232*g**2 + 370*g**2.\nAnswer: 506*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*p + 25. Suppose -2*h + p*h = 156. Suppose -4*y + y + h = 5*b, 0 = -5*y + 2*b + 35. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2100 (base 3) to base 4\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20038236 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 - 2*p. Let s be 3\/3 + -3 - -5. Let m be j(s). What is the first derivative of 0 - 5 + m*q**3 - 7 wrt q?\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m - 6 + 5 + m**3 - 4*m + m**2. Let q(z) = 7 - 8*z**3 + z**3 - 9*z**2 + 3*z**2 - z**4 + 7*z. Let b(x) = -2*q(x) - 14*v(x). Let b(o) = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(120) - sqrt(120))*-4)\/((-1*sqrt(120))\/sqrt(10)))\/((sqrt(16)\/sqrt(16))\/(1*sqrt(128))) + -1.\nAnswer: -1 + 64*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, 3, 0, -120, -6 in decreasing order.\nAnswer: 7, 3, 0, -2, -6, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 17. Calculate the lowest common multiple of ((-40)\/(-14))\/(4\/14) and o.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19366663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2852276917?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3*g**2 - 11 + 5)*(-8*g + 3 - 3) + (2*g**2 + 6*g - 1 - 2 - 4*g)*(g - 14*g + 8*g) in the form y*g + p + c*g**2 + i*g**3 and give y.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in centuries?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39280.\nAnswer: 2, 5, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - z + 2. Let l be t(2). Suppose b + l*b = -h + 21, -5*h = 4*b - 126. Suppose 2*f = -4*d + 30, 2*d + 37 = 5*f - h. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 7:23 PM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -9) + (-38 - -45) + -44.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/12*4*3\/(-2). Solve -2*i + m*w - 35 + 10 = 0, i + 4*w = 7 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12512 + -5?\nAnswer: 12504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 + 859. Let v(y) = 28*y + 45. Let q(n) = 6*n + 10. Let a(i) = 9*q(i) - 2*v(i). Give a(t(x)).\nAnswer: -4*x**2 - 1718","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19679\/18 - 1093. Let x = -5837\/1107 + 119\/41. Calculate the common denominator of x and s.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/12*2)\/((-3)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -62.2 + 69.328. Let f = -15 - -22. Let n = w - f. Round n to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 50, 101, 152, 203?\n\"Answer: 51*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l + 2. Let s be m(-2). Suppose -s*f - 88 = -10*f. What is the remainder when 41 is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**5\/30 - 7*t**4\/24 + t**3\/3 - t**2. Let g be q(-4). Is 20\/(2\/g)*-2 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8514 and 682.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**5 + 31*n**4 + 117*n**3 - 331*n**2 + 182*n = 0.\nAnswer: -26, -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t + 1. Suppose 10*f = 6*f - 4. Let g be f\/((-7)\/(-7))*3. Calculate d(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 + -26. What is the highest common factor of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121079804?\nAnswer: 2, 30269951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3*g + 226 = 0, -5*q + 75 + 123 = -g. Solve 3*x + 46*d - q*d = -8, -4*x = 4*d for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 4:53 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1721*z + 61431 + 2246 = 0 for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -91880 (base 11) to base 10.\nAnswer: -134156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 11*d**2 - 31*d + 62. Let y be a(13). What is the remainder when 41 is divided by 3*(y - (-100)\/15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -0.04586\nAnswer: -0.18344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + m**2 - 3*m - 2. Suppose 0 = -17*f + 24*f + 14. Let o be a(f). Let g be (o + 16\/(-138))\/(10\/(-15)). What is the nearest to 0 in 2\/7, 0.2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 97383?\nAnswer: 486915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 876, 51, -358 in increasing order.\nAnswer: -358, 51, 876","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 5*p**2 - 9*p - 15. Give j(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17\/63 + 1670\/63. Let r be 6\/(-4) - 51\/2. Let p = x + r. Which is the third smallest value? (a) 0.4 (b) 3 (c) p (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -120055, -116121, -112189, -108259, -104331?\n\"Answer: -c**2 + 3937*c - 123991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 l when two letters picked without replacement from {l: 2, q: 2, e: 1, z: 9}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, y: 1, c: 1, l: 1, m: 1}. What is prob of sequence ln?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1132 + -1029. Is 60 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dodttdtottdd. What is prob of sequence dtdt?\nAnswer: 10\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3*q = 1 - 10, -2*q = -k + 15. Let m(z) = 0*z - 5*z + k*z. Let w(b) = -b. What is m(w(i))?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 383\nAnswer: -5\/383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -7\/3*y**3 + 0*y**2 + 0*y**5 - 23*y + 0 + 0*y**4 - 2\/15*y**6. What is the second derivative of l(u) wrt u?\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 58, 45, 28, 7?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) - sqrt(5)) + (0 + sqrt(10)\/sqrt(2))**2.\nAnswer: 5 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 29*x**2 - x + 28. Let v be p(29). Is 37 a factor of (-6 + 4 + -35)*v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000594 rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -75*c**3 - 7*c**2 + 6*c + 13. What is the remainder when i(-1) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -30468, -61573, -92678?\n\"Answer: -31105*h + 637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a tonne in kilograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -155*f**2 - 30*f**2 - 27*f**2 to the form x*f**2 + i*f + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/3929 or 0?\nAnswer: -5\/3929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 5)*(3*n - 5*n + 0*n - 5)*(-5 + 4*n + 5).\nAnswer: 8*n**2 + 20*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-54)\/12*(-4)\/6. Solve -6*m + b*m - 3*q + 12 = 0, -2*m + 20 = 5*q for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1046 + 962. Is -90 less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51504 and 2088.\nAnswer: 154512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.21 or -1900\/717?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88 - -7. Suppose -8*d = -3*d - l. Does 11 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2859 + 4738. List the prime factors of o.\nAnswer: 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*j = -77*j - 1725. List the prime factors of j.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/4)\/(1\/(-10)). Let m(d) be the second derivative of d**4\/12 + d**3 + 3*d**2 + 26*d. Calculate m(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1286288 a multiple of 324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/3 of a day?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/208 and 95\/145256?\nAnswer: 3776656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 63001*b**2 - 4682656*b + 87011584.\nAnswer: (251*b - 9328)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of c**7\/630 - c**6\/90 + c**5\/36 - c**4\/36 - c**2. Determine n so that v(n) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 - -36)*55\/20*2\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174559617?\nAnswer: 3, 2155057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpmm when four letters picked without replacement from {m: 3, a: 1, n: 1, w: 2, z: 1, p: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - b + 5. Let j be (2\/(-3))\/((-6)\/(-18)). Let i be 6\/4*j + 12. Let z = 4 - i. Let o(l) = -2*l**3 + 2*l - 9. Calculate z*k(f) - 3*o(f).\nAnswer: f**3 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/17)*m*m*m*(m*m*(m*m\/(m**(-14)*m))\/m)\/m*m**22\/m*m*m\/(m\/(m*m**9*m))*m assuming m is positive.\nAnswer: m**(886\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 164\/(-14) - 566352\/(-82593)\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 + v**3 - v**5 + 2*v**5 + 7*v**5 - 7*v**5 + (-v**2 + 7*v**2 - 7*v**2)*(0*v**3 - 2*v**3 + v**3).\nAnswer: 2*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w. Let t(j) = 519*j**2 - 3071*j. Determine t(l(g)).\nAnswer: 4671*g**2 - 9213*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hf when two letters picked without replacement from {i: 6, g: 5, q: 5, h: 1, f: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34468 - 27200. Is 7267 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-3)*45\/(-6). Let h = d - 12. Let t(r) = 29*r**2 + 2*r. Let k be t(h). Calculate the highest common factor of k and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 3:51 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, k: 7}. Give prob of sequence ii.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14798 to the power of 1\/2, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 n, and 1 s when three letters picked without replacement from nxhsjjhnxxxh?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(8\/9)*m**(2\/9))\/(m**4)**27 assuming m is positive.\nAnswer: m**(-962\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 + -109 - 21 - (-13 + -1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 21*m + 27. Let o be d(-20). Let k = o + -46. Let s = -2 + 1.99. Which is the second smallest value? (a) k (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2. Let g(c) = 969*c + 12 - 1941*c + 971*c. Give m(g(t)).\nAnswer: -2*t**2 + 48*t - 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3690.558 weeks in minutes?\nAnswer: 37200824.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 866 + -858. What is the lowest common multiple of o and 326?\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10992943259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 0, 47, -6 in descending order.\nAnswer: 47, 5, 0, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125731 smaller than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 1265.\nAnswer: 5060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 290 = -2*m, g + 137 = -0*g - 5*m. Let k be 3\/(-6)*6 - g. Let s be 2250\/((7 + -3)\/k). Round s to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*1\/(-18))\/(8\/(-32))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 884, 882, 880, 878, 876, 874?\nAnswer: 872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -574a4 + 3764?\nAnswer: -53840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -163068 (base 13) to base 16\nAnswer: -861d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 1. Let i be (-2)\/2 + -14 + 8. What is the units digit of w(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25*11\/1815*(-18)\/5\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/1*(520\/48)\/65.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 9:20 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -8*b**2 - b + 1. Determine x(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u + 6*u + 11*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*c = 2*a - 8, 0 = -3*a - 2*c + 13. Sort -5, a, 26 in descending order.\nAnswer: 26, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -215 divided by 161\nAnswer: -215\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 20*t**3 - 2*t**2 - 13*t + 17. Is w(3) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/(-22))\/((-4560)\/(-1824)).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + 6. Solve j + 6 = 2*f, f = -0*f + 5*j + w for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 93 = -16*g. Suppose 28 = 5*c - 5*k - 32, -5*c - 4*k = -51. Sort c, -2, g.\nAnswer: -2, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 168 + -164. Suppose 2*b = 3*b - 4. Suppose -242 = -b*t + o, -2*t + k*o + 112 = 8*o. Is t a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2164065, -2164071, -2164077, -2164083?\n\"Answer: -6*x - 2164059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is -2210 (base 4) in base 9?\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/2 (b) 1 (c) -1\/14 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402*i + 1802 + 1401 = 389 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15394?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 3*l**2 + l + 1. Let o(z) = -6*z**3 - 18*z**2 - 22*z + 9. Let d(b) = -o(b) - 6*u(b). Is d(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 + 9 - 3) + 1 + 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11450330 (base 8) to base 7\nAnswer: -30225613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 371*i**2 + 4*i. Is s(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*f - 25*f - 455 + 518 to x*f + q and give q.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315910 = q - 15*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 5*m + 15 = 0, -c - m - 619 + 612 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 141*n + 142*n - 5, 0 = 2*h - 2*n - 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5a0 (base 11) to base 2\nAnswer: 1011001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -286*(-14)\/231 - (-1)\/(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 60*y + 5\/6*y**3 + 0 + 1\/4*y**5 - 5\/6*y**4 + 0*y**2. Let w(q) = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d - 8. Let n be m(6). Let t be (45\/5 - 4) + (-15 - -37). What is the common denominator of n\/(-8)*3\/(t\/(-237)) and -10\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -3*s + 13 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162244 is divided by 1475.\nAnswer: 1469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 15427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 228 - 121 - 55 + i**4 + 2*i as q*i + j*i**2 + l + x*i**3 + g*i**4 and give l.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 33293269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*r = -15*r - 2353 + 229 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 41 - 74 - 2*t + 37. Let x be y(-16). Suppose -4*n = -9 - 7. Calculate the greatest common factor of n and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/237784100 and 127\/1220.\nAnswer: 237784100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 333*r - 608*r + 310*r.\nAnswer: 35*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 28\/3. Suppose 2*d + 16 = 6*d. Find the common denominator of 680\/(-330)*6\/d and z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 0. Suppose 4*k - 23 = -z*j + 119, 0 = 5*k - j - 187. Let t = k - 22. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7602, 30671, 69126, 122973, 192218, 276867, 376926, 492401?\nAnswer: 623298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a67 (base 12) to base 9.\nAnswer: 6737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of 43*y**4\/4 + 4*y**3 + 986*y - 3. Factor g(l).\nAnswer: 3*l*(43*l + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 0*r**2 - 6919 + 6916 - r**2 - 6*r. What is k(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27812529*g**3 + 254740204.\nAnswer: 83437587*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -9*n**2. Let s(b) = 19*b - 31*b + 15 - 15 - 38*b. What is s(g(c))?\nAnswer: 450*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 335445 and 165.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2472*p**2 - 1238*p**2 - 1238*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w + 1. Let x be b(-2). Let q = -22 + 30. Suppose 0 = -3*u + x*u - q. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5858, -5859, -5860?\nAnswer: -5861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*b + 8*b**2 + 61718 + 13*b - 61565 as k*b + i*b**2 + l and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 14) in base 3?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1215\/4 + 304. Sort -3, 26, l, -1\/7 in increasing order.\nAnswer: -3, -1\/7, l, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7247 - 14529 + 46*x + 7282.\nAnswer: 46*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/20 and 4\/8*(-222)\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9649, 9514, 9379, 9244, 9109?\nAnswer: 8974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 j, and 1 f when four letters picked without replacement from jxjooqpf.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -407 - -298. Let w = v + 193. What is the highest common factor of w and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (47 - 47) + (-8 + -1 - -2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9688704, 9688705, 9688706, 9688707, 9688708, 9688709?\n\"Answer: f + 9688703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.99 + 0.01. Let v be (-4)\/52 + (-49)\/546. Which is the smallest value? (a) 0 (b) v (c) -2\/9 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = o + 5, 13 = -5*f - 4*o - 7. Suppose -3*w + 4*w - 22 = f. Solve 3*m + 0*m + w = 4*l, m = -4*l + 14 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4854\/71 or 0?\nAnswer: 4854\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 39*o + 10 - 1.\nAnswer: -39*o + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/45*5\/(3750\/(-15))?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.31898*-5.\nAnswer: -1.5949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**6\/120 + 7*o**5\/60 - 19*o**4\/24 + 17*o**3\/6 + o**2 + 2*o + 86. Give t(-9).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 30467 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bgg when three letters picked without replacement from {g: 1, c: 3, b: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 94551 + -474984\/5. Let a be (-1926)\/7*(-8)\/5. Let r = a + u. What is the common denominator of r and -99\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2848 divided by 4.\nAnswer: -712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -505*q**2 + 347*q**2 - 29439 + 29439.\nAnswer: -158*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3270 and 12918135.\nAnswer: 1635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6.99 from -1837.\nAnswer: -1830.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 0*v - 2*v)*(4 - 1 - 2) + 1 - 1 - v + v - 3*v + 0*v + (0 - 2 + 3)*(2*v - v - 3*v) - 2 - 2*v + 2 + 1 + v - 1.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*u = 996, 5*g + 8*u - 3*u - 1005 = 0. Suppose -5*j = -6640 + g. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 6*y**2 - 10*y - 3. Let b be r(-7). Suppose -12*h + 30*h - b = 0. Solve -2*s = -3*o - h, -3*o - 5 = 2*s - 0*s for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100792.\nAnswer: 2, 43, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3*t + t**3 + 4 - t to b*t**2 + u*t + k + s*t**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1693, -1702, -1711?\n\"Answer: -9*b - 1684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 166802.293 and 0.5.\nAnswer: 83401.1465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**7*(z\/(z\/((z**(-3\/4)\/z*z)\/z)))\/z)\/(z**(-4)\/z*z*z**(-3\/7)))**(8\/7) assuming z is positive.\nAnswer: z**(486\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*c = 8, -17 = -4*z + c - 2. Let n = 8 + -9. Suppose 0 = -2*m - m + 6. Put m, n, z in descending order.\nAnswer: z, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 895 is divided by 875?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -5*l**3 + 16*l. Let c be p(0). Let f(z) = 8*z + 7. Calculate f(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16567 + 0.4\nAnswer: 16567.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmamoroowoa. Give prob of sequence mmro.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*q**2 - q**2 + 16*q**2 as h*q**2 + g + i*q and give h.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 - 1360*j + 1360*j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*r + 21. Let q = r - 1. Let m be 385\/133 - 6\/(-57). Solve -1 + m = -q*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -263573*d**2 - 18*d + 1. Let y be h(1). Let n = -424290 - y. What is n rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/99 and 31\/63305.\nAnswer: 569745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q - 3*q**2 + 4*q - 2*q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 751732139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000972672 to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u - 231. Let r(g) = 4*g + 242. What is -3*f(m) - 2*r(m)?\nAnswer: m + 209","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 218353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -73 in increasing order.\nAnswer: -73, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 5*d**2 - 3. Let z be l(-5). Let i be ((-60)\/36)\/((-4)\/z). Is -2 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -339.4 + 294. Round y to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4b - -28bb?\nAnswer: 2917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -81*v - 180 - 711 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 114*q - 116*q + 447671 = 0, -3*v - 3*q + 1342986 = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (38\/133 - ((-80)\/14)\/1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16400)\/(-6560)*5\/(50\/24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of v**5\/150 + 29*v**4\/60 + 12*v**3 - 866*v**2. Find b such that o(b) = 0.\nAnswer: -20, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7667.93779 - 7668. What is b rounded to 3 dps?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express b - 4*b - 11*b**2 + 6*b**2 + 6*b**2 in the form g*b**2 + l*b + f and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wnfnwfsfffyifsw. What is prob of sequence niy?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 62509622 to the power of 1\/2, to the nearest integer?\nAnswer: 7906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2309 + 73*h - 109*h - 260*h.\nAnswer: -296*h + 2309","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6674.\nAnswer: 2, 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10010110 (base 2) to base 4\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-5) + 5\/((-175)\/(-126)). Solve 8 = -u + n*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c + 8. Give z(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*z = 4, -3*z = -5*p - 2*z + 22. Suppose 18 = -213*l + 219*l. Solve l*r + 11 = -p*w + 4*r, -w = -4*r - 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**5\/12 + 766*d**2. Let r(x) = 87*x**2 - 8. What is r(l(o))?\nAnswer: 2175*o**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 - -25. Let n(b) be the second derivative of 0 - 1\/12*b**4 + 3*b - 2*b**2 - 5\/6*b**3. What is n(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 392 divided by 709?\nAnswer: 392\/709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y - 10. Let l = -23 - -32. Let j be l\/(-6)*56\/12. Calculate the remainder when p(j) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14977\/2090 + 2\/3135. Calculate the common denominator of b and 55\/3688.\nAnswer: 11064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**2\/8 - 12681*o\/8 - 1203657\/4 = 0.\nAnswer: -182, 4409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 4*k - 4, 7 = 3*j - 306*k + 307*k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*x**5 - 100*x**4 - 6*x**2 + 10*x + 2060 wrt x.\nAnswer: 120*x**3 - 1200*x**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/8 + 63*b\/8 + 33\/4.\nAnswer: -3*(b - 22)*(b + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*a + 4*a + 15 + 132 = 0 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.302086 months in millennia?\nAnswer: 0.0021918405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4148 in 3, -3\/10, 20, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/10 - 12\/(-5). Suppose q = 4, j*u + 2*q + 240164 = 859906. Suppose -2490133 - u = 2*s. Round s to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 + 89 = -4*r. Let b = r + 71. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3290*w = 3418*w + 896 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-22)\/3)\/((-4)\/6). Let w = 3 - a. Let t(d) = 4*d**2 + 5*d. Let s(r) = -6*r**2 - 8*r. What is w*t(y) - 5*s(y)?\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 51, -1970.\nAnswer: -1970, 44, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 38 = -x, -3*r = -2*x + 62 + 9 - 23 for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**3\/6 - 2*o. Let j(n) be the first derivative of 3*n**2\/2 - 3. Calculate t(j(q)).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4128, -15248, -33778, -59718?\nAnswer: -93068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -18*j. Let l be m(-4). Let v(i) = -10*i + 180. Let d be v(0). Calculate the greatest common factor of d and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*u - 1625 - 1351 = 0 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 14*d**2 + 165*d - 12. Determine s(-10).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in -0.13, 11\/2, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, -218, 29 in increasing order.\nAnswer: -218, -6, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -3, 0, -0.6, -495, 4\/5 in decreasing order.\nAnswer: 4\/5, 0.4, 0, -0.6, -3, -495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/7, -5, -2\/7 in descending order.\nAnswer: 2, 2\/7, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of k**7\/105 - 3*k**6\/20 - k**5\/60 + 31*k**3\/2 - 155*k**2 - 1. What is the third derivative of c(x) wrt x?\nAnswer: 48*x - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (38 + -80 - (-4 - 2)) + 12 - 12\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h**3 - 9*h**2 + 15*h - 4. What is t(3)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23\/3, -1\/30153, -0.013.\nAnswer: -0.013, -1\/30153, 23\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 times -0.31\nAnswer: 0.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1101121020002 (base 3) to base 15\nAnswer: -e944e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004731 rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 0*h**2 + 0*h**3 + 0 - 24*h - 1\/3*h**4. Find f, given that l(f) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112013.\nAnswer: 11, 17, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 217 and 10220142?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -5882800.\nAnswer: -1176560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 4*p - 7*p. Let x(l) = -14*l. Let k be x(-1). Suppose 0*r - k = -2*r. What is the common denominator of p and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7872521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -8*t - 1. Let i = 5 + 9. Let p = -19 + 31. Suppose -p = 4*h - 4. Let q(z) = -z. What is h*r(y) + i*q(y)?\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 81900 divided by -27300?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*n + 147*n - 34 - 6*n with respect to n.\nAnswer: 133","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -2, 2, -31?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*c = 478*c - 4176 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 209 + -202. Calculate the remainder when 370 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1475 or -24631?\nAnswer: -24631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -73822 and 206?\nAnswer: 74028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5002863, -5003077, -5003289, -5003499, -5003707, -5003913, -5004117?\n\"Answer: j**2 - 217*j - 5002647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 4. Let u be (-2)\/(-5)*1*-5. Let l be (u\/i)\/((-4)\/(-8)). Which is the nearest to 1\/3? (a) 4 (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10458*l**2*o**3 - 13*l**2*o - l**2 + 11*l*o**3 + 7886*o**3 wrt l?\nAnswer: -20916*o**3 - 26*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 0.5, -334, 6\/7, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -43910, -87753, -131596, -175439?\n\"Answer: -43843*n - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y - 17. Suppose -2*q - 2*j - 16 = 0, q + 0*q = -5*j - 8. Let t be l(q). Let c be (185\/5 - t)\/(-1). Which is bigger: c or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 91*k**3 + 937?\nAnswer: 273*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50561 is divided by 6296?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -17*o**2 + 14*o. Let c(g) = 6*g**2 - g - 4. Let j(l) = -6*l**2 + 2*l + 3. Let u(k) = -3*c(k) - 4*j(k). Determine -3*t(m) - 8*u(m).\nAnswer: 3*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 - -76. Let q = -25 + d. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -35, 1, -65 in increasing order.\nAnswer: -65, -35, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 6. Let h = v - 13. Put h, 2\/11, -1\/5 in decreasing order.\nAnswer: 2\/11, -1\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3369745.91 to the nearest one hundred.\nAnswer: -3369700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 656772 and -19?\nAnswer: 656791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*m + 8084665, 37*m - 39*m + 4042340 = 2*j. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -407 and -0.3.\nAnswer: 122.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.02 (b) 0.3 (c) -66 (d) 1\/2 (e) -5 (f) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180006 - -154294.\nAnswer: -25712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 158802 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -v - m, -37*m + 34*m + 1 = -2*v. Suppose 3*k = v*w - 38, -82*k = w - 80*k - 15. Solve 0 = -4*b + 4*a + 8, -4*b + 3*a = -w for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/5 and 117\/110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 7*h - 3*h - 2*h + (78*h - 342 + 342)*(4 - 1 - 1) to the form c + g*h and give g.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 + -28. Suppose 4*g = -s + 5. Let i be -6*(-6)\/44 - 1. Which is the closest to g? (a) 4 (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326509689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((16\/(-160))\/((-4)\/30))\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -1122*s**2. Let p(m) = -2*m. What is p(w(a))?\nAnswer: 2244*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n + 36*n**3 + 8*n - 2.\nAnswer: 36*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-11 + (-2561)\/(-234))\/(1*(-2)\/(-2))\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjpu when four letters picked without replacement from upzzzjupuozzuub.\nAnswer: 5\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujuxff. What is prob of picking 1 f and 2 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4338, -7481, -10612, -13731, -16838, -19933, -23016?\n\"Answer: 6*g**2 - 3161*g - 1183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 10 = -2*x, 0 = 2*x - 4*f + 3 - 53. Suppose 6*q = 52 - 4. What is the remainder when x is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a - 26*a = -210. Solve -7*m + a*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/10)\/(-72)*4\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14414 + 24005?\nAnswer: 5151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 + -4 + (-1 - -6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 12. Let j = 0.116392 - -0.083608. What is the biggest value in j, -36, h, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55.32 - -56. Let v = 0.68056 - g. Round v to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 138 = -20*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 3. Let v be (-18)\/3 - a - -973. Suppose 0 = -o - o + v. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37269 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2. Let v be q(1). Let f = 6 + -1. Suppose -4*r - k = 11, 0 = 4*r - 4*k + k + 15. Sort r, f, v.\nAnswer: r, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 174*t**2 - 144*t**2 + 10*t - 9*t. Let s(v) = -4*v**2. What is a(s(f))?\nAnswer: 480*f**4 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f*z**4 - 180661*f*z**2 - 74*f + 8105769*z**5 wrt z.\nAnswer: 48*f*z + 486346140*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(135) + sqrt(135))\/sqrt(5))\/(5*(sqrt(27)\/sqrt(3) + sqrt(9))) + -3.\nAnswer: -3 + 3*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5091 or -61?\nAnswer: -5091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(176)*-2 + -2 + sqrt(176))**2.\nAnswer: 32*sqrt(11) + 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -931? (a) 0.2 (b) -0.2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/10 of a litre?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3376*k - 13343. What is x(4)?\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 7. Let p(w) = -4*w**q + 2 - 2 - w**3. Let i = -3984 + 3981. Calculate p(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 0)\/(23 - 30)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 429, 430, 431, 432?\n\"Answer: x + 428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 k, and 1 n when three letters picked without replacement from {r: 4, k: 1, n: 2}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 g when three letters picked without replacement from {l: 1, q: 7, g: 7, a: 3, c: 1}.\nAnswer: 49\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1015?\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 18, 28, 64, 138, 262?\n\"Answer: 2*b**3 + b**2 - 7*b + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1199*x**3 + 504 + 1025*x + 371 + 145*x**2 - 598*x**3 - 606*x**3.\nAnswer: -5*(x - 35)*(x + 1)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 (base 16) in base 6?\nAnswer: 3512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44*a*h*o**2 - 2*a*h*o - 3*a*o**2 - h*o**2 + 1751*o**2 - 2 wrt a.\nAnswer: -44*h*o**2 - 2*h*o - 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*b + 1344 + 1893. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from avaavavvaaa.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -9*g**3 - 93*g**2 - 8*g - 8. Let l(i) = 10*i**3 + 94*i**2 + 7*i + 7. Determine 7*f(s) + 8*l(s).\nAnswer: 17*s**3 + 101*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -t**3\/3 - 3*t**2 - 5*t - 1. Let a be h(-6). Let c = -55.99 - -56. Sort a, c, -3\/4 in descending order.\nAnswer: c, -3\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g - 2031 = 11*g + 2841. Sort -5, 3, -1, g.\nAnswer: g, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2479394.758 and -0.052473?\nAnswer: 2479394.810473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70 + 24 - 34) + 95.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2759749.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 381012628?\nAnswer: 3429113652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16.9 + -16.997. What is r rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48411 - 5*h - 48411 - 48407 + 145229.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 12:51 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1152 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: Convert -1876 (base 16) to base 2.\nAnswer: -1100001110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 5, -42 in ascending order.\nAnswer: -42, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r - 2. Let k be p(2). Suppose k = -2*d - 5*i + 10, -2*d - 3 = i - 5. Solve -4*f + 3*f - 2 = d for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 611700786*n. Let o(f) = -3*f**2. Determine o(l(z)).\nAnswer: -1122533554779053388*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (87 - 9 - 41)*(u + u + 2 - 4).\nAnswer: 74*u - 74","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2 - 2*n**2 - 5*n**3 + 4 - 12*n + 13*n wrt n.\nAnswer: -30*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22379785 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 33019 - -1 - -2 - -1. Let p = n - 1188955\/36. Find the common denominator of ((-2)\/(-12))\/((-9)\/81) and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 12:49 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 23*c + 4. Let u be t(-1). Let h = 28 - u. What is the remainder when h is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/4 or 2\/9541?\nAnswer: 2\/9541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 573636?\nAnswer: 573642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -15. Suppose 7 + 501 = h*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2*(-85)\/30)\/(7\/(-246)). Let a = b + 37771\/189. What is the common denominator of a and 29\/18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - -49. Calculate the remainder when a is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*w)*(0*w + 4*w - 2*w) - 5*w**2 + 12*w**2 + 10*w**2 + 7 - 3 + 4 - w**2.\nAnswer: 20*w**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1210556147 - 5?\nAnswer: -1210556154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 divided by 445?\nAnswer: 15\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 - -6. What is the greatest common factor of 16 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -18*o**3 - 2*o**2 + 2*o - 2. Let i(d) = d**3 - d**2 + d - 1. Let x(v) = -2*v**3 + 113*v**2 + 49*v + 457. Let j be x(57). Determine j*r(b) - 2*i(b).\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-62)\/(-8)*-2*2. Suppose 0 = -0*u + 3*u - 108. Let i = b + u. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 307960, 615936, 923912, 1231888, 1539864?\n\"Answer: 307976*k - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -609*m - 1730 + 1388 - 4818 = -93*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 * 0.3\nAnswer: -0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30 or 4.9441?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -5.4. Let m = -52123996\/200393 + 38\/10547. Let q = 260 + m. Put q, 5, i in decreasing order.\nAnswer: 5, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -47\/2, 0.4, 1, 2 in increasing order.\nAnswer: -47\/2, 0.4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31918 is divided by 522?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/1)\/(-9)*(72\/9)\/(-96).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 4*b - 7*b - 4*b.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 693924697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-25869)\/6*(-110)\/55 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k - 16 - 54. Solve 20 + 22*w**4 - 79*w**4 - 80*w + 32*w**4 + 75*w**2 + k*w**3 = 0 for w.\nAnswer: -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/17))**48\/(z*z**(2\/11))**45)**(-30) assuming z is positive.\nAnswer: z**(266670\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 176494733 to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.558691 + -0.558. What is x rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -2*q**5\/5 + q**4 - 4. Solve n(s) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*b - 35*b = -39. Which is greater: 3\/665 or b?\nAnswer: 3\/665","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*h - 1. Find the third derivative of -3*s**3 + 2*s**3 - 2*s**h - 3*s**3 wrt s.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + s - 1. Let g(o) = 3*o**2 - 2*o + 4. Calculate 2*d(q) + g(q).\nAnswer: q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(80)*-5 + 5)*-6 - (5*(sqrt(500) + -3) - ((sqrt(500)*1)**2 + -2)).\nAnswer: -410*sqrt(5) + 483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 4*k - 0*k. Suppose 8 = 5*r - 4*f, -2*r - 1 + k = f. Suppose r*y = -y. Which is smaller: y or 5.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 5*n + 15, 5*n + 15 = -25*v + 24*v. Solve v*u + 4*l = 3*u + 24, 0 = -u + 3*l - 13 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 4*k**2 + 3*k - 5. Let y be a(4). Let s = -4 + y. Let t(c) = -7*c**2 + s*c**2 - 2*c**3 - 4 - 5*c + 3*c**3 + 5. What is t(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 6*a**2 + 2. Let s(t) = t**3 + 5*t**2 + 7*t + 6. Let m be s(-4). Let l be i(m). Let z be (0 + (-6)\/(-3))\/l. Solve -z - 1 = d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76327\/60 - -15275\/12. Factor 0 + 10*d**2 - x*d**3 + 84\/5*d.\nAnswer: -2*d*(d - 14)*(2*d + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5210?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3524 (b) 2 (c) 5\/12 (d) 7 (e) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43138 bigger than 43328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-55)\/600*3 + (1 - 0) and 73\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2268447048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2265587.7 months?\nAnswer: 188798.975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -1\/6*x**4 + x + 0*x**2 - 1\/10*x**5 + 2\/3*x**3 - 5 - 11\/30*x**6. What is the third derivative of k(l) wrt l?\nAnswer: -264*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**7\/1050 - l**6\/150 - l**5\/150 + l**4\/10 + 3*l**3\/10 + 75*l**2. Solve m(o) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h + 11. Let s be g(-3). What are the prime factors of (s + 12\/4)\/((-3)\/108)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 29*b**3 - 4*b + 3. Let o be k(1). Let y = -2 - -6. Calculate the greatest common factor of y and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 r when two letters picked without replacement from {r: 5, c: 1, i: 8, g: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a - 3*n = 18*a - 2557, -4*a + 5*n = 5119. Are -1286 and a non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 224568285 to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 0*d - 2*d + 3*d + d. Let i(a) be the third derivative of -a**4\/24 + a**2. What is s(i(w))?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a - 32. Calculate n(13).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5659 rounded to the nearest 100?\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-21)*70\/(-4)*43\/8385?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5*(sqrt(70) + (sqrt(70) - 1*sqrt(70))))\/(sqrt(160)\/sqrt(4)).\nAnswer: -15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -250611.1?\nAnswer: 751833.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 8*c + 30 - 76 = -32 - 34, 0 = -h - 4*c + 3 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1475640 (base 10) to base 2.\nAnswer: 101101000010000111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8060287 to the nearest integer?\nAnswer: 2839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1659890 and 889.\nAnswer: 11619230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -27 - (-5580)\/(-252)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 111 - 58. Suppose 48*s - n*s = -20. Solve 0 = -g + s - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133551622923 - 277.7\nAnswer: 133551622645.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27095?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 60176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 6*y + 55. Determine q(-11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -26 and 53.77.\nAnswer: 27.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - -6) + (43 - (23 - 15))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3789665 at least as big as -18948329\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -40, -49, -64, -85, -112, -145, -184?\n\"Answer: -3*p**2 - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3945*a**2*y + 2*a*y**3 - 57485*y**3 wrt a.\nAnswer: 7890*a*y + 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxmgmtx. What is prob of sequence xt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 5*x**4\/3 + 2*x. Let p(d) = -3*d**2. Determine f(p(b)).\nAnswer: 180*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + 59. Let s = 147 + k. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-112 + 39 - 54)*((3*a - 3*a + 2*a)*(-4*a**2 - 3*a**2 + 6*a**2) + 2*a**3 + 0*a**3 - a**3).\nAnswer: 127*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g - 11. Let n be a(-5). Let x(w) be the first derivative of -w**4\/4 - 2*w**3 - w**2\/2 - 3*w + 3. Calculate x(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7850300 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2. Let s(c) = 337 + 49*c - 93*c + 42*c. Determine h(s(r)).\nAnswer: 8*r**2 - 2696*r + 227138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 44001 (base 5) in base 9?\nAnswer: 4104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 1, -1, 0, 4.\nAnswer: -1, 0, 1, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*q + 2*q + 4*f, 3*q - f + 14 = 0. Let w = q - 0. Let o be (0 + (-2)\/w)*20. Solve 2*r + o = 4*k, -5*k = r - 0*r - 24 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5426.\nAnswer: 2, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1f (base 16) in base 3?\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1248877, 2497681, 3746485, 4995289?\nAnswer: 6244093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39340 is divided by 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4057?\nAnswer: 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -37*i + 164. Let o(f) = -147*f + 678. Determine -6*o(n) + 25*v(n).\nAnswer: -43*n + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 149 and 5?\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27*((-2)\/10)\/((-126)\/210)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -11*v**3 - 124*v**2 + 183*v + 1036. What is c(-12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274 - 786 + 283 + 229 - 137*v**2.\nAnswer: -137*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*u**4\/6 + 39317*u**3\/6 - 55104043*u**2\/6 - 97435819*u\/2 - 13169535 = 0. What is u?\nAnswer: -5, -2\/7, 2811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82995 = -2*a - 82997 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.008 in -2, -4, 42, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1038, -2932, -6094, -10524?\n\"Answer: -634*s**2 + 8*s - 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 119 + 5. Let i = o - -105. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -8*z**3 + 13*z**2 + 25*z - 20. Let n(a) = -7*a**3 + 13*a**2 + 24*a - 21. Let l(r) = -7*n(r) + 6*q(r). Let c be l(14). Which is smaller: c or -28?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320919.\nAnswer: 3, 23, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -552, -2041, -4936, -9705?\nAnswer: -16816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/12)\/((-2)\/4)*(-35288)\/(-48521).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/10 + 9991*x**2\/5 + 39958*x\/5 + 39956\/5.\nAnswer: (x + 2)**2*(x + 19978)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -x + 3*f, -8*f = -3*x - 3*f + 27 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-5*-5*((2 + sqrt(245)*1 - sqrt(245)) + -4) + 3)**2.\nAnswer: 21609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -2.3, 26?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 674, 2698, 6072, 10796, 16870, 24294?\n\"Answer: 675*d**2 - d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335865 is divided by 335804?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 5*p + 2*p)*(-2*p**3 + 2*p**3 - p**3) + 408 + 2*p**4 - 56 + 0*p**4.\nAnswer: 3*p**4 + 352","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 2, 4, 0, 11, -1 in decreasing order.\nAnswer: 11, 4, 2, 0, -1, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -267784 divided by 3019\nAnswer: -267784\/3019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -174302700 rounded to the nearest one million?\nAnswer: -174000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.192363539 rounded to three dps?\nAnswer: -1.192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 231 = 777. List the prime factors of s.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5*o**3 - 6*o**2 + 6*o - 3134. Let x(k) = -k**3 - k**2 + k - 2. What is -m(c) + 6*x(c)?\nAnswer: -c**3 + 3122","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -5*o + 2*w - 5, -65*w = -2*o - 66*w - 9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -13631\/3 <= -4543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.16039, 3\/29, 0.2, 3, 4, 2\/13?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 55\/2 of a meter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14572585?\nAnswer: 5, 47, 62011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 31*t**4\/6 - 2731*t. Let a(w) = -3*w**2. What is a(u(x))?\nAnswer: -11532*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (100\/30)\/5 - 4\/6. Solve 0*n - n - 3 = x for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606 is divided by 299?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebebbbebbeeebebbebeb. Give prob of picking 2 b.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.31075 + 1.29. Round q to three dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*((1*sqrt(405) + 3)**2 + sqrt(405)).\nAnswer: -1245 - 189*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/38862 and 31\/24.\nAnswer: 155448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1122203 + 213?\nAnswer: 1123022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4290)\/(-260)*(-12)\/10*26\/78.\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, i: 7, n: 4}. Give prob of picking 2 n and 1 c.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-45820)\/(-50) - (-2)\/(-5). Let c = j - 576. What is c rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321159798?\nAnswer: 2, 3, 17842211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/9 + 7*f**3\/9 + 2*f**2\/3 - 28*f\/9 - 40\/9.\nAnswer: (f - 2)*(f + 2)**2*(f + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -5*j - 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-2 - -4) + -44. Let y be (-4)\/(-10) + q\/(-25). Suppose -2*o + 20 = 3*h, 0 = -y*h - 5*o - 2 + 30. Solve 5*i + 5*r + 3 = -12, -i = h*r + 9 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.800081 - 6.8. What is h rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 6*n**3 - 2*n**2 + 21*n + 57. Calculate l(-2).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19924*f**4 - 7*f - 1021.\nAnswer: -239088*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((22\/(-36))\/(3498\/(-212))).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -191\/7657 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-12) - (-68)\/16\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**3 - 8*y**2 - 2*y + 2. Let v be l(-4). What is the tens digit of 358\/v*35\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2497*h = -2495*h - 14482. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + -31 + (9 - 0) - (-25)\/(-4).\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(-5\/11)*g))\/g**(-14) assuming g is positive.\nAnswer: g**(148\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -16*x**2 + 11*x + 46. Let n(a) = 3*a**2 - 2*a - 9. Determine 11*n(z) + 2*v(z).\nAnswer: z**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1999927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 + -0.4. Let k = -19\/29 + 1688\/319. Let f = 437\/99 - k. Sort f, 1\/8, y in decreasing order.\nAnswer: y, 1\/8, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25652 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: b\"What is the gth term of -645, -641, -637, -633, -629?\n\"Answer: 4*g - 649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 748 and 21318?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3.31 * -2\nAnswer: -6.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 - -61. Calculate the lowest common multiple of 16 and s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*o + 2*o. Which is the smallest value? (a) 4 (b) o (c) 0.02 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 6:09 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3985830 to the nearest integer?\nAnswer: 1996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 331*l**2 + 53286*l - 789. Give s(-161).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 23*v**3\/6 + 5*v**2 + 7*v. Is j(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6858*l**2*t - 80*l*t**2 - 1623*t**2 - 240*t wrt l?\nAnswer: -13716*l*t - 80*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -796.181 + -4.\nAnswer: -800.181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z**3 - 6*z**2 - z + 302. Let s(u) = 18*u**3 - 39*u**2 - 7*u + 1812. Calculate 13*p(b) - 2*s(b).\nAnswer: 3*b**3 + b + 302","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0.01. Let p = 0.41 + m. Let x = 386 + -386.2. Which is the smallest value? (a) p (b) 1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29256900 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 87*h**3 + 5*h**2 - 5*h - 5. Let f(b) = -130*b**3 - 7*b**2 + 7*b + 7. Suppose -13*d - 2367 = -2302. What is d*f(j) - 7*n(j)?\nAnswer: 41*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 a when two letters picked without replacement from tqqtttotaojqqkj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4736883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 4*v**3\/3 - 957. Let r(m) = m - 21. Give r(o(c)).\nAnswer: 4*c**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4 - (-144414)\/27720 - (-18)\/(-33) and 44\/63?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 9:11 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -482 + 733. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -72*p**2 + 111*p**2 + 104*p**2 + p**2 - 2*p**2 + 0*p**2 + (0 - p + 0 - 9 + 9 + 4*p + (3*p + 0*p - 4*p)*(7 - 2 - 3))*(-p + 1 - 1).\nAnswer: 141*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 11, -5, 85\/346 in descending order.\nAnswer: 11, 5, 85\/346, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 11:31 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*d**2 - 11*d**2 - 4*d**2)*((3*d + 0*d - 6*d)*(-1 + 3 - 1) - 2*d + 2*d + 2*d) to the form o*d**2 + s*d**3 + p*d + y and give s.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7555 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2309 greater than or equal to 1\/1797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*m**2 - 2*m**2 - 8*m**2)*(m**2 + 3 - 3) to the form s*m**2 + q*m**4 + l*m + g*m**3 + c and give q.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 68*b**2 - 3*b - 201. Let u be y(-68). Solve -u*l - 9 = -3*t, -38*t + 4*l + 17 = -39*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -52d5 + 4?\nAnswer: -52d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*k - 22. Let z = -46 - -81. What is the highest common factor of z and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0028081265 rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 753*c*l**3 + 3*c*l**2 - c*l - 4*c - 10482*l**3 + 48777*l**2 wrt l.\nAnswer: 4518*c - 62892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of 19\/6*i**3 + 12*i + 1\/4*i**4 + 0 - 15\/2*i**2. Let v(o) be the first derivative of a(o). Differentiate v(h) wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, f: 4, o: 1, r: 10}. Give prob of picking 2 r, 1 o, and 1 y.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -1\/7, 2\/5, -1, -476?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -21131 - -12b?\nAnswer: -21004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k**2 - 10*k - 2. Determine j(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 3732712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1078116 and 767.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(24\/60)*164\/5. Which is smaller: 81 or s?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 6081*a + 2*a**3 + 436 - 1411 - 5*a**3 - 2203 - 3036*a**2 + 136 = 0.\nAnswer: -1014, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4147079?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0877 + -7.2677. Let z = 14.18 + r. What is the nearest to -1 in z, -2\/19, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 291168 and 41904.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 13*v - 5 to t + d*v and give d.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xa when two letters picked without replacement from xxaa?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-110)\/(-77) + 8\/14. Suppose k*p = -p + 63. Suppose p*u - 1761 = 18*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5371047 and -0.02.\nAnswer: 5371046.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -458 - -473. What is the least common multiple of 15 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19, 185, 461, 847, 1343, 1949?\n\"Answer: 55*i**2 + i - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30237 - 16*s**2 + 30237 - 3*s**2.\nAnswer: -19*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3228 divide 1718939052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -13841102?\nAnswer: -55364408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -26, -71, -116, -161?\n\"Answer: -45*t + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 79*0.01\nAnswer: 0.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 528570 and 1020?\nAnswer: 17971380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**2\/3 - 45901*u\/3 + 321356\/3 = 0 for u.\nAnswer: -45908, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11222 - 1021?\nAnswer: 10201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 2. Suppose 0 = 4*i - t - 6. Let z be 15\/(-9) + 1 + 0 + 1. Which is the closest to -3\/2? (a) 1 (b) i (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*u - 45 = 0, -4*u = 4*s - 5*u + 39. Sort 5, s, -5 in descending order.\nAnswer: 5, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, u: 4, x: 4, m: 1, t: 7}. What is prob of picking 1 x and 2 t?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 u when three letters picked without replacement from tzgfvuggugvuvgvugfug.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y - 4*x - 36, -2*y = -24*x + 21*x - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 16379250 divided by -3275850\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5411 - 2908. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1273?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3492705951?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.016105 to 4 decimal places.\nAnswer: 0.0161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 359, 551, 871, 1319, 1895?\nAnswer: 2599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1, 0.4, -1096?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 8*v**2 + 7*v - 16. Let n be s(5). Find the third derivative of -4*g - 3*g**2 + 2*g**5 + 10*g - 12*g**4 - 219*g**3 + n*g**3 wrt g.\nAnswer: 120*g**2 - 288*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86, 168, 252, 338, 426?\nAnswer: 516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -430*i - 3182*i + 159553 + 49943 = 0 for i.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1443 - -1003?\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/18 + 323\/(-570) + (-204)\/(-10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5\/6)*g*g\/(g*g**(-2\/41)*g*g*g)*(g*g\/((g\/g**4)\/g))**(2\/125))**(-17\/3) assuming g is positive.\nAnswer: g**(1405441\/92250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 992264 and 8584?\nAnswer: 36713768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -d**3\/4 - 18*d**2 - 189*d - 8612. Find v, given that o(v) = 0.\nAnswer: -42, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44624 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2951*w + 20149*w + 5768*w - 1.\nAnswer: 22966*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -146*n - 951. What is p(-6)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6124*u**2 + 5611*u**2 - 10769*u**2.\nAnswer: 966*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 3*g - 228, -3*g + g = 2*t + 472. Let v = -144 - t. Calculate the highest common factor of 6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-15) + 136\/(-10). Suppose -30 = 12*g + 6. Let m be y\/(52\/1176) - (g - 1). What is m rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 2*x - 4. Suppose x*d - 2*o - 2436 = 0, -5*d - o = -3*o - 3044. Let y = 5981\/10 - d. Calculate the common denominator of 61\/6 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -5*q - 3*z, 3*q = 5*q - 4*z - 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**2 - 11364800*f - 32289669760000 = 0 for f.\nAnswer: -5682400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, 384.\nAnswer: -5, 6, 384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8310 = -1797*n - 36834 - 37518 for n.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274512 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-6) + 51\/9. Let y(r) = -2*r**3 - 4*r**2 - 3*r - 2. Let d be y(-2). Suppose -2*k = -d*k + 30. Calculate the highest common divisor of q and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -60577*b**2 + 4188*b + 10.\nAnswer: -121154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from jjjjojjjjojjjojjjj.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35306 is divided by 483?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 878 is divided by 436.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a kilometer in meters?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 10*i**2 + 41*i + 136. Determine z(-3).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 3:51 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 390 from -2.32549754.\nAnswer: -392.32549754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 24162 + -14008. List the prime factors of z.\nAnswer: 2, 5077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1012141310 - 24?\nAnswer: -1012141334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 5*s**2 + 6*s + 4. Let l be c(6). Suppose -l*i + 22 = -62. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -a - 99. Let z = 243 + a. Suppose z = 3*v - 44. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62 + -56. Let l = 8 + -5. Suppose -l*n - 4 = -34. What is the lowest common multiple of a and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -28.77. Let x = u - -0.33. Which is smaller: 6 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.74 + -0.44. What is the smallest value in m, -2\/7, 0.1, 1\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 7*r - 3*o = 110599, -3*r = o - 82933. Is 23 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4108 a factor of 256114174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21045 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m**3 + 2*m**2 - 148*m + 9731.\nAnswer: -6*m**2 + 4*m - 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/5)\/(6\/(-15))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 p when two letters picked without replacement from oppp?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 267*m*p - 18417*m wrt p.\nAnswer: 267*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzezzzzuezuuzuzffzu. What is prob of sequence fee?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2207 - -2279. Let a = 29 - 2. What is the lowest common multiple of a and s?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 237070704*b**2 - 138725248*b.\nAnswer: 474141408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*c**3 - 5032*c**2 + 220220*c + 529984 = 0. What is c?\nAnswer: -16\/7, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/13044 and -31\/20?\nAnswer: 65220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 241*y**6\/30 + y**2 + 237*y - 282. Let i(f) be the first derivative of n(f). What is the derivative of i(s) wrt s?\nAnswer: 964*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 544\/5 or 110?\nAnswer: 544\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 262863822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11627 + 3169 + 6664*u**3 + 15*u**2 - 6660*u**3 + 4*u wrt u.\nAnswer: 12*u**2 + 30*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**6\/45 - 148*f**5\/15 - 1505*f**4\/18 + 524*f. Solve g(z) = 0.\nAnswer: -5, 0, 301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 8) to base 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1961867117.\nAnswer: 7, 280266731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 110.2?\nAnswer: -44.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22538 or -95?\nAnswer: -22538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 372116703 and 1713.\nAnswer: 1713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 98666921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 15 = -5*i. Suppose 4*o + 25 - 4 = i*d, 0 = 5*d + 4*o - 29. Calculate the remainder when 7*(6\/(-3) + 3) is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q + 10. Let k(a) = -217308*a**2. Calculate x(k(o)).\nAnswer: 434616*o**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/6)\/t)\/((t*t**10*t*t)\/t)*t**30*t**(-11) assuming t is positive.\nAnswer: t**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1911\/(-210)*45\/(-42))\/((-6)\/(-16))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 27*b - 81. Let u(l) = -105*l + 316. Let t(i) = -104*i + 311. Let m(c) = 2*t(c) - 3*u(c). Let v(h) = -26*d(h) + 6*m(h). Differentiate v(g) wrt g.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 295*y**8\/28 - 3275*y**4\/12 - 458*y. Find the third derivative of o(p) wrt p.\nAnswer: 70800*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5507a1 - 20?\nAnswer: -5507c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 2, -2\/9, -2\/37.\nAnswer: -2\/9, -2\/37, 3\/8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (32 - 26) - ((-1 - 0) + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*b - 6 = 0, -5*b + 0 = -5. Solve -2*u + w*t + 10 = 2*t, -5*t - 8 = 4*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 9*w**2 + 12*w + 36. Suppose 0 = -5*k - 5*n + 155, 0 = -k + 3*n - 3 + 22. What is the remainder when k is divided by p(-10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 p when two letters picked without replacement from ptmtfttfttftfot.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 + 5*u**2 - 4*u**2)*(u**3 - u**3 + 2*u**3) + u**5 - u + u - u**5 + 2*u**2 - 2*u**2 - 93*u**4 - 29*u**5 + 93*u**4 - 2*u - u**5 + 2*u.\nAnswer: -28*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142 (base 6) to base 11.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n**2 + 163*n + 940. Determine p(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 165*b - 483. Let x be w(3). Solve -13 = -3*h + 2*n, 5*n - x*n = -4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -634 + 653. Put 1, -4, v in descending order.\nAnswer: v, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37\/154 + -1\/22. Let y(p) = 2*p + 17. Let a be y(-8). Let f = -0.2 - -0.3. What is the closest to a in b, f, -2\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 212 and 126988?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6130, -6141, -6158, -6181, -6210?\nAnswer: -6245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -102836?\nAnswer: 102835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**(-6)))\/j*j*(j*j**(-6))\/j*j*j*j)\/((j\/(j**(-2\/31)\/j))\/j**4) assuming j is positive.\nAnswer: j**(-219\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75895234.\nAnswer: 2, 19, 1997243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 8*g**3 - 6*g**2 + 6*g. Let x(q) = 7*q**3 - 5*q**2 + 5*q. Suppose -5*c + 5 = -2*r, 2*c - 20 = 3*r - 7. Give r*u(i) + 6*x(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 4*b**2 + 2*b - 1. Let v be m(3). Suppose -v*r = -4*r - 180. Suppose -d + 22 = -r. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 7) to base 2.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16551 = 512*c + 172*c - 3969 for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 10*l - 9. Let c be z(-9). Let t = c + -7. Let g = -8 - t. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -3*p**4\/16 - p**3 - 15*p**2\/8 - 3*p\/2 + 24. Find m such that g(m) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.747 (b) 1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26.93*-0.4.\nAnswer: -10.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164447.\nAnswer: 164447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/2288 and 1\/484.\nAnswer: 25168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*g + 17. Suppose 0 = -u + g + 3. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c - -40101?\nAnswer: 4010d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**4 + 2*t**5 - 6*t**3 + 3*t**3 - 2*t**2 + t**3 = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-5\/3)\/v*v\/(v**(1\/14)\/v) assuming v is positive.\nAnswer: v**(-31\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of 5*x**8\/168 + 2*x**5\/15 + x**4\/3 + 55*x**2 - 2*x. Find the second derivative of c(v) wrt v.\nAnswer: 200*v**3 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = f + 4*f - 4*a, -2 = -2*a for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1238064227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 2 - 2 + 3)*(0*i**3 + i**3 + 0*i**3) + i**5 - 3*i**3 + 3*i**3 + (3*i**3 - 2*i**3 - 3*i**3)*(-105*i**2 + 28*i**2 - 3*i**2).\nAnswer: 162*i**5 + 3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 116 + -1. Let i = -111 + p. Let k = 0 - -0.2. Which is the nearest to 0.1? (a) 2\/7 (b) i (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 1, 3*c + 384*k - 380*k = 4. Let i(s) be the first derivative of 6 + 9*s + c*s**2 - 1\/2*s**4 + 0*s**3. Differentiate i(b) with respect to b.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c\/c**(-1\/3)*c)\/c))\/c*c*c*c**(-2\/3)*c**4*c**(6\/5)*(c**(2\/5))**4*c**(-4)*c\/((c**4*c*c)\/c) assuming c is positive.\nAnswer: c**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -31. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -652, -2509, -5602, -9931?\n\"Answer: -618*m**2 - 3*m - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.586173m to centimeters.\nAnswer: 758.6173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -8*b**2 + 52*b + 140. Calculate the remainder when 175 is divided by q(8).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 3, 4 = 4*d - 4*s - 0. Suppose -3*r + 4*r = d. Suppose 3*y + y = r. Solve y*k + 10 = -2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k**2 - 478*k - 165. What is r(-159)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 297 in 18, 2\/17, -0.4?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-3 + 1 + 0 + (433 - 434) - 60).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 5*a - 5*x + 23, -4*x + 17 = 3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254543419?\nAnswer: 13, 2423, 8081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 10, l: 2}. What is prob of picking 1 l and 1 i?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 45910.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 229*z + 32. Let d(a) = -42*a. Let u(j) = -6*d(j) - v(j). Determine u(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**3 - r**3 - 6*r**3 + 5*r**3 + r**3 + 55*r**2.\nAnswer: 2*r**3 + 55*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*1 + (-5216)\/326?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-17)\/z**(7\/6))**9)**(-33) assuming z is positive.\nAnswer: z**(10791\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 405 = -4*s + 424, 0 = 3*s + b for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0017959 to 5 decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3410.027765 + -3410. Round t to three decimal places.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yybb when four letters picked without replacement from yvyvbyvyyvyb.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356 = -4*y + 5*d, -d + 89 = -0*y - y. Let u = -54 - y. List the prime factors of u.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20380635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 10*x - 18. Suppose -2*h + 35 = 3*h. Let f be z(h). Find the second derivative of 0*t - 16*t - t**3 + 4*t**f - t wrt t.\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 685.122 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 175, -55, -431, -947, -1597, -2375, -3275, -4291?\nAnswer: -5417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of q**4\/10 - 14*q**3\/15 + 4*q**2\/5 + 24*q\/5 - 433. Determine w so that p(w) = 0.\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - y + 57, -4*z + 6*z - 4*y = -18. Let c = 6 - z. Calculate the remainder when 101 is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13437 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 150 = 6. Let o be 8 + -2 + 1*-10 + 15. Suppose a = 19*w - o*w. Calculate the smallest common multiple of w and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-7\/3)\/(((u\/(u\/u**6))\/u)\/u))**(2\/29) assuming u is positive.\nAnswer: u**(-38\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**4 - q**3 + q**3)*(0*q - 13 + 14 + q).\nAnswer: 3*q**5 + 3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 6*y - 9*y. Is (-1 - -3)*(-3 - y\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - -0.226. Let u = 22 - 21.91. Let y = n + u. What is y rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 747123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/3940 and -87\/788.\nAnswer: 3940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1654.\nAnswer: 2, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - c**2 - c - 82. Give x(0).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - n**2 - 2*n**2)*(3 + 2*n**3 - 3) + 2 + 5*n**5 - 2.\nAnswer: 3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**5 - 145*c**4 + 18870*c**3 + 158980*c**2 - 392200*c = 0. What is c?\nAnswer: -74, -10, 0, 2, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 + -3. Suppose -4*t - t + v = 2*x, -5*x = 2*t - 35. Solve 0 = -x*y - 5, 3*i + 0 = -y + 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*c**3 + 1059*c**3 - 130*c**3 + 44*c**3.\nAnswer: 840*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10658*m + 10656*m - 3*a + 32 = 0, -m = -667*a + 5332 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2003, -3531, -6089, -9677?\n\"Answer: -515*v**2 + 17*v - 1505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4668000 by 1556000.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-693)\/(-891)*3\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/sqrt(7))\/((sqrt(60)\/sqrt(5))\/sqrt(4)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00231943 to 4 dps.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1371.1 - 1368.1. Let a = -1.1 + -2.9. What is the closest to 3\/11 in h, a, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 2206*x**2 + 8 + 3.\nAnswer: 2206*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1934*u**3*y**2*z**3 + 59*u**3*z**3 + 2*u**2*y*z**3 - 92*u**2*z + 5*u*z + 4*y**2*z**2 + 5*z wrt u.\nAnswer: 11604*y**2*z**3 + 354*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-1\/4))**27*((k\/((k*(k**(7\/3)\/k)\/k)\/k))\/k)**14 assuming k is positive.\nAnswer: k**(349\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -940936, -1881214, -2821492?\n\"Answer: -940278*a - 658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 18*a**2 + 7*a - 21. Let t(s) = s**3 + 19*s**2 + 8*s - 22. Let k(f) = 6*t(f) - 7*x(f). Is 12 a factor of k(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -13, -5, 1 in ascending order.\nAnswer: -13, -5, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 150718*m + 52. Let h be d(-14). Round h to the nearest 100000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iinini. Give prob of sequence in.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 - 3 = -6*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14807888 and 16072.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3))**(-33)\/((r\/(r*r**(2\/7)))\/(r*r**(-1\/15)))*(r**(-5\/4)\/r)\/r**(-1\/8)*r**(3\/4)*r**(-1\/2) assuming r is positive.\nAnswer: r**(-19031\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (33\/24 + -2)*72\/(-9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -3*b - 2\/27*b**3 + 0*b**2 + 1\/6*b**4 + 0 - 7\/90*b**5. Factor w(t).\nAnswer: -2*t*(t - 1)*(7*t - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84631775, -338527096, -761685965, -1354108382, -2115794347, -3046743860, -4146956921?\nAnswer: -5416433530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -6 + 2*j**3 + 0*j**4 + 3\/5*j**5 + 0*j + 0*j**2. Find the third derivative of t(k) wrt k.\nAnswer: 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 20*r**2 + 11*r + 8. Let m be (-2)\/(-2)*1*(-6 - -26). What is the tens digit of d(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66)\/(-63)*(-2016)\/616.\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13361 and 279?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*l - 4*j, 4*l + l = -3*j + 7. Let g be 5\/(-2) + 125\/50. Suppose 4*h = -19 + 7. Put l, g, h in ascending order.\nAnswer: h, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.22 * -3150.\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2\/21, -2, -1\/4, -95, -2\/9, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-14) + (-117000)\/3640*(-2)\/(-6)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 17138284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3559 or 3544?\nAnswer: 3544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 180 = 13*n. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of u**6\/720 - 7*u**4\/24 + 30*u**2. Let z(d) be the second derivative of t(d). Let i(p) = -30*p. Give z(i(n)).\nAnswer: -30*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -12, -1, -28 in increasing order.\nAnswer: -28, -12, -1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z + 8*z + 10 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7571 is divided by 323.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.497 + 4.59. Let k = -4.636 - -4.649. Let f = k + n. What is f rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4819 is divided by 484?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + u)*(0 - 3 + 1)*(-1 + 8 + 1)*(0 + 0 + 1).\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5381.\nAnswer: 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -58*j + 61*j. What is the derivative of -16 - 22 - j*n**3 + 2*n - 7 wrt n?\nAnswer: -27*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 4*p + 8, -3*p + 5 = 5*v - 14. Suppose -4*q + 6 = -q. What is the lowest common multiple of v and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -0*p + 3*t - 888, -1500 = -5*p + 5*t. Suppose i = 3*i - p. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6332223 millennia in months?\nAnswer: 7598.6676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -23*x**4\/2 - 19*x**2 - 10. Find the second derivative of y(p) wrt p.\nAnswer: -276*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -19*g**3 - 15*g - 63. Let f(h) = 16*h**3 + 15*h + 53. What is 5*f(u) + 4*s(u)?\nAnswer: 4*u**3 + 15*u + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (9 + -13)*1*(-127)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 f when three letters picked without replacement from {r: 2, v: 3, t: 1, f: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**3 - 12*i**2 - 270*i - 800 = 0.\nAnswer: -5, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 38*s*x**3 - 849379*s + 335031*x**3 + 22*x wrt s.\nAnswer: 38*x**3 - 849379","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + 5*j - 4, 0 = 35*f - 40*f + j + 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2, 5*n - n - 54 = k. Let f = 230 - 104. What is the greatest common divisor of n and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -166.99539 rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -26*i - 3. Let g be v(1). Let a = 39 + g. Calculate the greatest common factor of 90 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 + 2*o**3 - 2*o**3)*(-2*o**2 - 5*o + 5*o + (3 - 4 + 0)*(2*o**2 - 1 + 1) + 4*o**2 + 2*o**2 - 5*o**2 - 2*o**2 + 36*o - 36*o).\nAnswer: -10*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 2*o + 2, 2*o = -5*y + y + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 5, -2*g + 6*f + 8 = 4*f. Which is the closest to g? (a) 1\/3 (b) -1\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-5*sqrt(180)*-2)**2)*5 + 5.\nAnswer: 90005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43 - -535?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2. Let i(s) = 285709367*s. Determine x(i(b)).\nAnswer: 81629842391540689*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.112 to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 10*r**2 - 2. Let z be n(-2). Suppose 0 = g - 2*g + z. Calculate the remainder when g is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1807*h - 1485*h - 574740 = -3386*h for h.\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1.89226 millennia?\nAnswer: 189.226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -3. Let z = -16 - -15.3. Let h = 4.3 - z. What is the biggest value in r, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*q + 37, -q = 4*q + 25. Let h(x) = x + 5. Let l be h(u). Let n(r) = 2*r**2 + r. What is the units digit of n(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - y - 2*y)*(-3 + 3 - 2*y**4) - y**5 - 2*y**5 + 2*y**5 - 2*y**5 - 9*y**5 + 2*y**5.\nAnswer: -14*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.1, -13\/10, 1\/2.\nAnswer: -13\/10, -0.3, 0.1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 134405 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(-9*a - a + 12*a).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -11, -35\/38, 0.1, 22?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2750*o**3*s*w - o**3*w**3 - 307*o**2*w**3 - 2*o*s**2*w**3 - 3*o*w**3 with respect to s.\nAnswer: -2750*o**3*w - 4*o*s*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-15\/4)\/(b*b*b*b\/(b**27\/b)*b*b*b))\/(b**(-6\/19)*b\/b**(-3\/5)) assuming b is positive.\nAnswer: b**(5307\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 62.55538l?\nAnswer: 62555.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22109519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6044 by 15825.\nAnswer: -6044\/15825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (102\/(-306))\/(10\/(-12))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2022323 (base 4) to base 5\nAnswer: -241031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - -7 - ((-2304)\/(-90) + -13)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -876*o**6 + 22*o**2 - 4*o - 9 wrt o?\nAnswer: -105120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1518*r + 1517*r + 4083500. What is r rounded to the nearest one hundred thousand?\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 10*x**2 - 5*x - 49. What is a(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7164\/(-45)*10\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1640\/10491 + -2\/807. Which is the closest to 2? (a) -2 (b) -4\/5 (c) w (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 78*r**2 + 353*r + 8911. Let n be f(-81). Let l(p) = p**3 + 7. Let d be l(0). Let o(k) = 0*k**2 - d*k**2 + k**2 + 2*k - 1. What is o(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31.9999991 + 32. Round s to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 36, 142, 402, 894, 1696, 2886, 4542?\n\"Answer: 13*a**3 - a**2 + 18*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**4\/4 + 801*f**3\/4 - 13053*f**2\/2.\nAnswer: -3*f**2*(f - 229)*(f - 38)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -32783 or -32780?\nAnswer: -32780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.00153210825 and 6.\nAnswer: 6.00153210825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*-5*10\/4. Let t = -21 - m. Suppose -4*k + 2 = 3*q + t, 0 = q + k. Solve 1 = i + q for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73704 = 45*s - 69*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 13 = -3*i + 10*w, -5 = -w. Find the third derivative of -51*k**4 + 0*k**i - 117*k**4 + 67*k**2 wrt k.\nAnswer: -4032*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - 20\/(-12) - 0. Let l = 3 - 2.7. Which is the closest to 3? (a) u (b) 4\/3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -6 + 4, -13*y - 4*o = -16*y + 23 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21479409 and 189?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 2, 29.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9152284 is divided by 1190.\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20695 + 26315 = 831*m - 38423 for m.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 724 - -111?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {i: 7, c: 2, y: 3, b: 8}.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (25\/(-175))\/(1\/7 - 1). Let x(f) be the second derivative of -c*f**3 - 1\/2*f**2 + 0 + 2*f. Let z(b) = -2*b**2 + 3*b + 4. Calculate -3*x(n) - z(n).\nAnswer: 2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289*k + 1332*k = -136*k - 22841 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, f: 11}. Give prob of picking 2 f.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1482 - -2408. Let i = z + -631. List the prime factors of i.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -229 - -1546. Does 56 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*((-68)\/24)\/(-17)*(-23958)\/(-1089).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*k + 2 - k - 2 to the form b + m*k and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 170 - 116. Let f = h + -52. Suppose 0 = -4*k - 3*y + 236, -5*y = 3*k + f*k - 295. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ykovorokkkkvvvko. What is prob of picking 1 k and 2 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vve when three letters picked without replacement from {s: 1, e: 1, v: 2, n: 1, t: 1, m: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*j = -61*j - 45. Solve -4*t + 2*m = -5 - 11, j*m = 5*t - 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (84\/63)\/(2\/6). Solve 3*d + 40 = -5*m, 4*d + 24 = -l*m - 16 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - n + 5*n = 0, -5*m = 3*n + 2. Let f be (m + -5)\/(2\/8). Let h = 50 + f. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1417 is divided by 489?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24938*l**2 + 11961*l - 24932*l**2 - 11961*l.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*r - r + 13560. Suppose 9*a - 4*a = r. What is the lowest common multiple of 22 and a?\nAnswer: 2486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -147 - -275. Suppose -2 = 21*q - o. Solve -q*d = -4*d - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 4*x + t, t - 132 = -5*x - 2*t. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -3 - ((-2)\/2 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -36 + -14?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5\/10 + 10749*f**4\/5 - 21496*f**3\/5.\nAnswer: -f**3*(f - 21496)*(f - 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 37.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 12, 2\/9, 108\/17?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by 1911.\nAnswer: -11\/637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -5*x + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111 - -1101100100001001?\nAnswer: 1101100101011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 635 = l, -3*u - 2*l = -6*u + 629. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -15*p + 1. Let k(l) = -2*l**2. Give u(k(f)).\nAnswer: 30*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/399 (b) 339 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 7*y**2 - y + 8. Let m be z(7). Solve 0 = -a + m for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 221 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + -1 + 1)*6. Suppose -5*p + n = 3*j, 4*j - 3*p - 48 = j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 500 divide 21000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 112*k - 107*k + 22, -25 = 5*s + 8*k. Solve s*n + 6 = -12*a + 9*a, 3*n - 2*a - 19 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/3, -2\/5, 4, -2 in decreasing order.\nAnswer: 4, -2\/5, -2, -8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -31*f**6\/40 + 67*f**4\/24 - f**3\/6 + 7*f**2 - 5. Find the second derivative of i(m) wrt m.\nAnswer: -558*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265 = -10*x - 515. Let i be 0 + (21*4 - 2). Let t = x + i. Solve -2*l + t*r = -10, 5*l - 3*r - 3 = 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21737567?\nAnswer: 443, 49069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert bf7cd6 (base 16) to base 9.\nAnswer: 25546404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 414894820.\nAnswer: 2, 5, 67, 309623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 - ((7 - (9 + -4)) + -6). Let o be 3\/c - 1053\/(-390). Sort -214, o, -2 in decreasing order.\nAnswer: o, -2, -214","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 22436, 22445, 22460, 22481, 22508, 22541?\n\"Answer: 3*i**2 + 22433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8676 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q. Let x(m) = 14*m + m**2 + 48*m + 7*m. What is i(x(l))?\nAnswer: l**2 + 69*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (26 - 14) + -20 + 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 110 - 52. Calculate the remainder when o is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**3 + 7*n**2 + 4 - 4*n**2 - 3*n**2 in the form d*n**2 + c + r*n**3 + w*n and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438029 a multiple of 1183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2389336?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 515019563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -157 + -100321?\nAnswer: -100500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 1. Let p be (6\/(-8))\/((-5)\/(-20)). Let r be (2\/3)\/(p\/(-9)). Put k, 4, r in increasing order.\nAnswer: r, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 68569?\nAnswer: -34284.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 116\/11 + -1154\/99. Let s be (14\/48)\/(252\/336). Let a = y - s. What is the nearest to -1 in a, -2\/15, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 104137719*s**4 + 144156064*s.\nAnswer: 1249652628*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 19 - 18 - 2\/10*3\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwwwlwwwwwwwwllw.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2 + sqrt(768))**2 + sqrt(48) - (-5 + (sqrt(3) - (sqrt(3) + -4*(2 + sqrt(3))))*3)**2.\nAnswer: -388*sqrt(3) - 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 > 53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -w - 3*w**3 + 5*w**2 - 3*w**2 + 0*w in the form v*w**3 + n*w + r*w**2 + b and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - 21 - -3 - (1 - (-2 - -4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l. Let z(x) be the first derivative of 2*x**3 - 9. What is z(n(r))?\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 7*t**6\/72 + t**5\/4 - 5*t**4\/6 - 10*t**3\/9 - 22*t**2 + t. Factor s(p).\nAnswer: 5*(p - 1)*(p + 2)*(7*p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12267783, 12267787, 12267791, 12267795, 12267799, 12267803?\nAnswer: 12267807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -3*y - 5*i, -218*y + 191*y + 141 = 3*i for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 144, -596, -1360, -2160, -3008, -3916?\n\"Answer: -2*s**3 - 726*s + 872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.03 + 0.33. Let l be (-969)\/(-342) + (-10)\/12. What is the second biggest value in b, 0, l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33.25, -1\/6, -65, 61 in descending order.\nAnswer: 61, -1\/6, -33.25, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 8:30 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -275222, -550532, -825816, -1101074?\nAnswer: -1376306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -155 + 238. Suppose 0 = h - 2*h - a. Let p = -52 - h. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 199 = -221. Is 24\/k + 4098\/14 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/684)\/(12\/2*(-402)\/5427).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 4. List the prime factors of (o - -6) + 2 + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 7. Let d be 3*(75\/(-27) - -3). What is the nearest to p in 5, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 398.\nAnswer: 10\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22099410 and 60.\nAnswer: 44198820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 571, 2198, 4919, 8740, 13667, 19706?\nAnswer: 26863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 28?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2923 > -2913?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - 2\/(-1 + -1). Is 2\/3 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 3*v = 0. Suppose 13*p = 2*p. Suppose v = -w - p + 6. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7676305089 and -9.\nAnswer: 7676305080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20481237 divided by -2275693.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -43470, -43363, -43256, -43149, -43042, -42935?\n\"Answer: 107*u - 43577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/10 of a second?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, i: 3}. What is prob of sequence iw?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 3:03 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j = -3*f + 18, -3*f + 77 = -2*j + 93 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18064?\nAnswer: 2, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011100111111011100 + -10011101?\nAnswer: 11011100111100111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus 13229?\nAnswer: 13228.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -533, -41, -49\/4, -16, -5?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 12\/8*(-1)\/(-3)*10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) -3\/4 (c) -2\/7 (d) 2\/67 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -101, 44, 181, 310, 431?\n\"Answer: -4*y**2 + 157*y - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(8\/5)\/n*n\/(n*n**(2\/5)))\/((n*n**1)\/(n\/(n*n*n\/(((n*n**14)\/n*n)\/n)*n))))**(-41) assuming n is positive.\nAnswer: n**(-1886\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -2 + -6 + -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -34405648 rounded to the nearest 1000000?\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = 6*p + 16. Let w(o) = 11*o**2 + 5*o + 6. Let x be w(-3). Let g = 93 - x. Solve -p*t = -t - g for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -6*c + c + 14, -4 = 2*c - 2*i. Suppose -4*s + k + 6 + 21 = 0, 5*s = -k + 45. Let x = s + c. Calculate the remainder when 33 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*t - 5*l - 45, 3*t - 25669*l + 27 = -25672*l for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2742 and -5.863.\nAnswer: 2736.137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 2\/13, 14.\nAnswer: -11, 2\/13, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 483519974*i**3*m**3 - 4821*i**3*m - 442*i**3 + i*m**2 - 2*i wrt m.\nAnswer: 2901119844*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1451655983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 - 2*j**2 - 4*j**2)*(-60 - 65 - 3*j + 105).\nAnswer: 9*j**3 + 60*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k\/(k*k**24))\/k)**(5\/17)*(k**(-2\/13))**(-43\/5) assuming k is positive.\nAnswer: k**(-6338\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 16*h**2 + 19*h - 16. Let b = -28 - -45. Does 9 divide j(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -530652 (base 7) to base 5\nAnswer: -10412234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 35534916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*c = 2*c - 25, -4*c = o - 25. Sort 31, o, -4, -5, 3 in increasing order.\nAnswer: -5, -4, o, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/5))**(-2\/123)\/((d*(d*d*d**1*d)\/d)\/(d*(((d*d*(d*d**(-6))\/d)\/d)\/d*d)\/d)) assuming d is positive.\nAnswer: d**(-5531\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 18 = 6. Let n be 3\/(-3)*(-20 - 0). What is the units digit of 5\/n + 54\/c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-5))\/(23\/(-115)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(2430\/(-7800))\/81.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -2 - 1) + 28\/(-20)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -17*y**5\/20 - y**4\/6 + y**2\/2 + 7*y. Is o(-1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/5 - 3196*a + 3358371\/5.\nAnswer: (a - 15767)*(a - 213)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*(-2 - 40\/(-12)). Let t(j) = j**2 - 10*j - 18. Let y(l) = 16 - 31 + 3*l**2 - 22 - 21*l. Let o(i) = z*y(i) - 10*t(i). Factor o(u).\nAnswer: 2*(u + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*v**2 + 42*v**3 - v**2 - 49*v**3 + (0 - 2*v + 0)*(-v**2 + 2*v**2 - 3*v**2) + 4*v**3 - 2*v**3 + 2*v**3 - 21 + 8*v**3 + 21.\nAnswer: 9*v**3 + 5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*q - 6 = 0, 11*r + q = 8*r + 9. Let x be 4 + r\/1 + -3 - 13. Is -11 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4374, 4531, 4688?\n\"Answer: 157*m + 4217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 1:11 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 91508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7\/11 (b) -1\/7 (c) 29045\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1785\/4 - 115853\/260. Calculate the common denominator of q and -18\/13.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8291.593 millilitres?\nAnswer: 8.291593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**3 - 1886*d**2 - 272835*d = 0.\nAnswer: -135, 0, 2021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 + h - h + (-9 + 11 - 34)*(-4*h**2 + 7*h**2 + 10*h**2) to x*h + r + u*h**2 and give u.\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 0. Let h(w) = m + 3 - 4 + 2*w. Give h(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 163, -2\/9, -7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6048435 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1*sqrt(40))\/sqrt(8)*-6)**2.\nAnswer: 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57 - 57 + 82*m**2)*(3 - 2 - 3).\nAnswer: -164*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {h: 6, m: 12}.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4347.9 - 4768. Let g = 442 + w. Round g to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 15. Let l = g - 9. What is the first derivative of -4 - t + 7 - l*t - t wrt t?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3576222 is divided by 30?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 469 and 5131.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -13\/7765093?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**1*j)\/(j*j*(((j**(2\/15)*j)\/j)\/j)\/j))\/((j\/((j*j**(-1)*j)\/j))\/j)**(43\/4))**(-35\/2) assuming j is positive.\nAnswer: j**(-98\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.8212296mg?\nAnswer: 0.0000008212296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -365, -286, -155, 28, 263?\nAnswer: 550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of 2*p**2 - 2*p - 7. What is the least common multiple of 20 and t(7)?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 469 + -463. Is (2111\/o)\/((-7)\/(-42)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(2057) + 0 + 2*sqrt(17)*-1 + -1 + sqrt(153) + 4)**2.\nAnswer: 168*sqrt(17) + 2497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108900 and 2848725?\nAnswer: 2475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -50f?\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 313254416 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -5*w**2 + 23210*w - 26935205 = 0.\nAnswer: 2321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -638 + 646. Solve 0 = 12*q - 32 + i for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 16?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w - 10. Determine p(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 8*h**2 + 8*h - 8. Let x be c(-12). Differentiate 72*k**3 - x*k**2 + 54 + 472*k**2 wrt k.\nAnswer: 216*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26 and 2.9.\nAnswer: 75.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/3*0\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33905 or 203435\/6?\nAnswer: 33905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3408662 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*s**5 + 4*s**5 + s**5 - 4*s**5 + 0*s**5 + 2*s**5 + 0*s**5 - 11*s**5 + 0*s**5 + (-s + s**4 + s)*(0 + 0 - 2*s) + 5*s**5 + 6*s**2 - 6*s**2.\nAnswer: -11*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 c when four letters picked without replacement from {c: 10, f: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14304 - 7861. What is the thousands digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -746*g + 1021*g - 243108 = 4777*g for g.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of c**3\/3 + 4*c**2 + 7*c - 5. Give d(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37194 at most as big as 1153038\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -1 - (0 - 2 - (-41 + 46)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, o: 2, w: 2, f: 4}. Give prob of sequence ggw.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 3\/10, -1385?\nAnswer: -1385","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 + 158*g - 600.\nAnswer: -2*(g - 75)*(g - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/63*(172242 - 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.98 + 8. Let b = -0.02 - l. Let x = b - -0.0399872. What is x rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*w + 14. Let v(g) = g + 12. What is the smallest common multiple of v(-11) and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 + 40. Suppose 4*h - 5*l = 4 + 3, -2*h - 3*l + 9 = 0. Suppose -h*k = 7*o - 3*o + 23, -4*k - 18 = -o. Put 2, g, o in decreasing order.\nAnswer: 2, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 7*m**2 - 5*m - 5. Let d be t(-6). Let j = 13 + d. Solve 13 = -2*a - j*s - 3, -2*a + 8 = -4*s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 3390 = -11*b. Suppose d + 452 = 3*u - u, 3*u - 3*d - b = 0. Suppose n - u = -n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 11. Suppose 0 = 2*h + d + 3, -3*h - 2*d = 6 - x. Suppose -z + h*z + 560000 = 0. What is z rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2 + 84*x + 477. What is p(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2. Let t(w) be the second derivative of 131*w**5\/60 - 46*w**2 + 2*w + 15. Let y(a) be the first derivative of t(a). Give f(y(m)).\nAnswer: 34322*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -3*q + q - 0*q - 16, 32*q = -50*q for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(3) - ((-4*sqrt(3))**2 + 3)) + sqrt(2700)*-3.\nAnswer: -153 - 87*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 76, 1, -128, -311, -548?\n\"Answer: -27*y**2 + 6*y + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(91)\/sqrt(7)*1 + 4.\nAnswer: 3 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1513169 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*t = -0*u + 20, -5*u + 4*t = 129. Let q = 99 + u. Let g = q + -42. Calculate the greatest common factor of g and 288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33798697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 - 368*p + 364.\nAnswer: 4*(p - 91)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/73 and 21\/21535?\nAnswer: 21535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.33*483.\nAnswer: -159.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2701 - 2806 - (5 - (-5 - -12)).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3629*n + 34333 = -3876*n for n.\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101000010111000011011 (base 2) in base 11?\nAnswer: 8236a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5838 - -10186. What are the prime factors of f?\nAnswer: 2, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-8))\/(2\/(-8)). Suppose -48*a + 31*a + 156 = 35*a. Solve 0 = d*c + 11 - a for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36734*p*x**2 - 2*p*x + 1332*p + x**2 - 4*x + 1 wrt x?\nAnswer: -73468*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*w = 117 - 350 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*c - 8*c - 7 - 2*c**2 + c**2 in the form a + u*c**2 + q*c and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, i: 4, h: 9}. Give prob of picking 1 u and 3 h.\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18, -22, -34, -60, -106, -178, -282?\n\"Answer: -x**3 + 2*x**2 - 3*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 - (-1097 + 1012)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1055647 = -40*c + 2516353. What is c rounded to the nearest one thousand?\nAnswer: 89000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1235248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 8 (b) -1 (c) 1\/5 (d) -3\/7 (e) -1056\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 14*q - 7*q - 4*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3404 at most -3404?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(300\/(-9))\/4. Let b be -1*1 - 5\/(h\/20). Let m(s) = s - 1. What is m(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -35159 and 0.0231?\nAnswer: -812.1729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + 3*y**2 + y**2)*(63*y + 135*y + 138*y).\nAnswer: 1008*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 12*k - 2. Suppose 2*p + 5*h = -49, h - 37 = p + 6*h. Calculate n(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 15.6. Let v be -2 + 0 + -1 + 1. Let w = -0.6 - -4.6. What is the biggest value in v, w, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 204 + -94. What is the remainder when 21 is divided by n\/9 + (-4)\/18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4960 and 341.\nAnswer: 54560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 3*m + 5. Let s = 10 + -10. Put s, 3, m in increasing order.\nAnswer: s, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 567290 + 5147290 = 0. Round w to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -m**6\/150 + 13*m**5\/25 - 209*m**4\/15 + 1936*m**3\/15 - 3*m - 992. Determine f so that u(f) = 0.\nAnswer: 0, 8, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (1 + -1 - 2 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + o + 3*l - 12, 4*l - 5 = -o. List the prime factors of 1112\/6 - 2\/o.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1365, -2782, -4189, -5586, -6973?\nAnswer: -8350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 4.9. Let m = 0.1 + v. What is the nearest to -2 in -0.2, -3\/7, m?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z - 6. Suppose 4*b = 20, w - 4*b = 6*w - 45. Suppose -c = r - 4*c - 19, 0 = w*c + 25. What is the units digit of n(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*g = -600. What is the highest common factor of g and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4020912.\nAnswer: 2, 3, 7, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 9*t**3 - t**2. Let w be (7\/((-21)\/6))\/(-8 + 7). Suppose -6 = -s + 2*j, 2 = 4*s + w*j - 2. Let f(h) = -4*h**3. Give s*q(n) + 5*f(n).\nAnswer: -2*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/2 + (-3)\/(-1). Solve 5*m + r + 0 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 121 = -109. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -130 - -2) + -2. Let s be 1\/(-4 - 45\/(-10)). Suppose s*r = -12 + y. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -623 - -625. Suppose 71*d - 67*d + 2 = -n*u, 33 = 4*d - 5*u. Let g(f) be the first derivative of -2*f**2 + 3*f + 1. What is g(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 + 3.5. Let r = -116\/455 - 2\/65. Suppose -2*q = x - 5, 25*x = 24*x + 3*q - 15. What is the closest to r in 3, h, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1255141 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -21*j + 66. Let f be h(8). Let c = -61 - f. What is the derivative of -36*u**3 - 81*u**2 + 40*u**2 - 25 + c*u**2 wrt u?\nAnswer: -108*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(342) + (sqrt(342) - (sqrt(342) + (sqrt(342) - (sqrt(342) + sqrt(342) + sqrt(342)*1))))*-3)\/(sqrt(10)\/(2*-1*sqrt(5))).\nAnswer: 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 9*c = 34. Let y(g) = -2*g**2 - 2*g + 2. Let r be y(2). Let x = r + 6. Sort c, x, 0 in descending order.\nAnswer: 0, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 20, -0.5, -0.3, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -277?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 231\/2 (b) 5 (c) 18 (d) 1\/7 (e) 3\/26 (f) 0.3 (g) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*i = -21. Suppose 11 = -q + 97. Let j = q + -90. Put 5, i, j in decreasing order.\nAnswer: i, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(170) - (sqrt(170) + -5*2*sqrt(170)))\/sqrt(10) + (-4 + 1 + sqrt(612))**2)*2 + 2)*4.\nAnswer: -208*sqrt(17) + 4976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 3*t**2 + 3*t + 3. Let s be n(-3). Let g = -3 - s. Solve 0 = -h - g*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of s*y + 1386*s + 4437*y + 3 wrt s?\nAnswer: y + 1386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/3)\/(b\/(((b\/(b\/(b*b**32*b)))\/b)\/b))*b*b\/b**29*(b\/b**(-3\/7))\/b assuming b is positive.\nAnswer: b**(86\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 77818, 155556, 233288, 311014, 388734, 466448, 544156?\n\"Answer: -3*t**2 + 77747*t + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 537? (a) 2\/9 (b) -11 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 520?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-3*1\/((-54)\/(-3)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 4 + 2)*(-2*d + d - d) + 6 - 5 - d + 2)*(-3*d**4 - 3*d**4 + 3*d**4).\nAnswer: -3*d**5 - 9*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 223, 507, 905, 1417, 2043?\nAnswer: 2783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76 or 78?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27132 and 2877.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2784012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 109 + 835*b**2 + 672*b**2 - 106 to v*b + c*b**2 + t and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + 20, -45*k + 91 = -21*k - 27*k - 22*a for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41566 or 41567?\nAnswer: 41566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 y when two letters picked without replacement from {c: 1, p: 1, y: 1, b: 1, q: 1, s: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a tonne in kilograms?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/2)\/((-355)\/(-852))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002707897 rounded to 6 dps?\nAnswer: -0.000271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyv when three letters picked without replacement from {v: 4, y: 14}.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = b - o + 2, 0 = -3*b - 1713*o + 1712*o - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 384 - 385. Which is smaller: -3\/182 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*m, -2*k + 959 = 101*m - 96*m. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 686 divided by -2581.\nAnswer: -686\/2581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -69*k + 52. Let y(a) = 2*a + 12. Give -w(g) + 5*y(g).\nAnswer: 79*g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -204 and 5.\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2900*v**2 - 58007*v + 103. Calculate u(20).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**3*n**3 - 213*h**3*n + h**3*p - 3*h*n**3*p + 13*h*n**3 + 28*n**3*p wrt h?\nAnswer: 12*h*n**3 - 1278*h*n + 6*h*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1505092?\nAnswer: 2, 139, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 i when two letters picked without replacement from {p: 3, z: 3, h: 2, d: 4, w: 2, i: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 11930, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 - 445?\nAnswer: -445.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 3*q**2)*(q**2 - q**2 + 4*q**2) + (q**3 - 2*q + 2*q)*(-2 + q + 2) + (1 + 1 - 1)*(-2*q**4 - 2 + 2) + (2*q + 4*q - 4*q)*(-q**3 + 0*q**2 + 0*q**2).\nAnswer: -15*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 2\/15 (c) 3 (d) -3\/8 (e) -2418\/25 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1368 (b) 1\/3 (c) -2\/15 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 45 + 71 = 0. Suppose 4*l + 5*o - 21 = 0, 0 = -o + 1 + 4. Calculate the remainder when r is divided by l + (-2 - -18 - 0).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -888977 * 0.0248\nAnswer: -22046.6296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-6)*(-8)\/(-6). Let n(u) = -u. Let q(a) = a + 1. Let o(j) = 3*n(j) + 2*q(j). Let m be o(2). Solve -r - v*r + 12 = m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - m**2 - 12. Let i be y(0). Does 7 divide (1 + (-52)\/i)*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h - h + 5*h)*(-2 + 0 + 0) - 6*h + 0*h + 4*h + (-3*h + 3*h + 2*h)*(3 + 0 - 5) - h + 5*h - 2*h to the form v*h + w and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a second in milliseconds?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1031, -59, -1135, -2191, -3221?\n\"Answer: r**3 + r**2 - 1100*r + 2129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(5\/6)\/m**(-3\/22))**(9\/8) assuming m is positive.\nAnswer: m**(12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66.1 + -65.3. What is the closest to r in 1\/4, 0, -0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 5:14 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -4?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -116161 (base 9) in base 2?\nAnswer: -10001000111101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2\/5 + 6423*v\/5 - 1966580 = 0. Calculate v.\nAnswer: -7700, 1277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.8, 122?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - y + 4*y)*(0*y**2 + y**3 + 0*y**2) + 73*y**4 + 708*y**4 - 772*y**4 - 58*y**2.\nAnswer: 10*y**4 - 58*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2169727 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 2\/58856279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + sqrt(38)\/sqrt(2))**2 + sqrt(95)\/(sqrt(5)*2 + sqrt(5)).\nAnswer: -5*sqrt(19)\/3 + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/103 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**3 - 20788514*m**2 - 62365528*m - 41577016 = 0.\nAnswer: -10394254, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -926 - -1862. What is the hundreds digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a (base 16) in base 6?\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1123 from -0.5.\nAnswer: -1123.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.02 + 2.02. Let y = 4 + -13. What is the smallest value in f, 1\/5, 1\/3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*x + 26*x - 1 + 3 - 11*x.\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002953545 rounded to 7 dps?\nAnswer: -0.0000295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 5*x - 6. Let m be h(-6). Suppose 4*r + m*r = 28. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)\/sqrt(48))\/(sqrt(8)\/(sqrt(4) + 5*(sqrt(4) + (sqrt(16) - sqrt(4))))).\nAnswer: 33*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 261524 to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.914 at most as big as 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 8*b = 7*b - 4, -s + 2*b = -11. What is the nearest to s in 0, 3, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46700*w**4 + 2*w**2 - 431361*w wrt w.\nAnswer: -560400*w**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -23462, -23812, -24396, -25214?\n\"Answer: -117*l**2 + l - 23346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 7619)*37\/(-222)*-6. Is -7620 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 90 = 6*v + 18*v. Solve 2*y + 3*r = -12, 5*y - 4*r + 10 = v for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*i + 5. What is the least common multiple of i and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 7 + 1 - 7. Let w(j) = j**2 + 8. What is -6*d(p) + w(p)?\nAnswer: p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 9 - 5 = 0. Suppose -2*g - 7 = -5*m, -4*g + 0*g + 5*m = -1. Let f = g + q. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c**2 - 16*c + 49. Let k(y) = -y**2 + 3*y - 10. Give -11*k(m) - 2*r(m).\nAnswer: 3*m**2 - m + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**2 - 19*g. Let s(t) = -4*t**2 + 19*t + 1. What is 5*m(h) + 4*s(h)?\nAnswer: -h**2 - 19*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x. Let d(a) be the first derivative of -a**5\/30 + 3*a**2\/2 - 3. Let j(c) be the second derivative of d(c). Determine f(j(n)).\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-231)\/(-1078)*(-14)\/(-3). Let f be ((-1)\/18)\/(5\/(-15)). What is the nearest to 2 in u, f, -1\/6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*r + 16, 3*r = 8*r + 20. Suppose 0*p + 1212 = 5*h + 3*p, 0 = t*p - 16. What is h rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 35407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 9. Let z(j) = -4*j**2 - 1522*j + 1466. Let h(w) = -6*g(w) - z(w). Factor h(k).\nAnswer: -2*(k - 760)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c**2 - 4*c + 1. Let k(a) = 4*a**2 + 6*a - 2. Let b(m) = -5*k(m) - 7*t(m). Let y be b(1). Solve 3*n + y*n = 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03 + 122.97. Let d = 122.9858 - t. What is d rounded to 3 decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 378*83\/(52290\/180)\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -853 - -855. Let q(y) = -32 + 3*y**2 + 10*y + 11 - 4*y**2 - y**2 - y**3 - 9*y**t. What is q(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 537451118?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 i when two letters picked without replacement from xxjxixjsxjxxjs?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 + 1521692*u**2 + 3043272*u - 36520416.\nAnswer: 4*(u - 4)*(u + 6)*(u + 380421)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z + 137 + 155 + 3*z**2 + z + 352.\nAnswer: 3*z**2 + 7*z + 644","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**9\/504 + r**5\/12 + r**2. Find the third derivative of n(a) wrt a.\nAnswer: -120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 8, p: 2, y: 4}. What is prob of sequence vvv?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o + 8*o + 60 = 0. What is the second derivative of 20*z - 3*z**o - 54*z + 35*z**3 - 7*z**3 - 2 - 18*z**3 wrt z?\nAnswer: -60*z**3 + 60*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 c when three letters picked without replacement from {h: 4, c: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/25, 0.0361, -1.7, -20\/3 in descending order.\nAnswer: 2\/25, 0.0361, -1.7, -20\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 12*i**2 - 1363*i - 643. Calculate l(114).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -22. What is the nearest to -0.1 in s, -6, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**4\/24 - 13*l**2 - 1. Let y(m) = 1. Let d(k) = -15*k - 75. Let j(a) = 3*d(a) + 225*y(a). Calculate j(c(b)).\nAnswer: -45*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*u - 74*u = -3*u + 2420 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 827 is divided by 737.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s. Suppose 3*v - 6 = 0, 4*d = -3*v + 14 - 0. Let a(l) = -d - 4 + 7 + 7*l + 15*l. Calculate p(a(r)).\nAnswer: 22*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + 2 + (-1 - 2). Suppose -i + 3 = -s. Let f(w) = -w**2 - 2*w + 2. Let u(z) = -1. Let g(x) = x**2 - 7*x + 4. Let t be g(6). What is s*f(d) + t*u(d)?\nAnswer: d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rfrrrrrfr. Give prob of picking 4 r.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1064*a**3 - 2876.\nAnswer: 3192*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1659790?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6766361 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -664*r**3 + 1448.\nAnswer: -1992*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54965 is divided by 452?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 113 and -16.2.\nAnswer: -1830.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 39 and 440.\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 497 - 454. Let n = 34 + -19. What is the remainder when k is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -5*h + 47, -h - q = q + 1. Let c = -5 + h. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 624 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -10*j + 162. Suppose 4*r - 478 = j. Is 44 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 229165\/2219219 + -18\/5149. Calculate the common denominator of -11\/9 and u.\nAnswer: 3879","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 + -31.9. Which is bigger: w or 0.06?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2853 + 5924. Is c - (1 - (-3 - (3 - 9))) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 297075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 133.98 * -0.3.\nAnswer: -40.194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -219869*n**2 + 3*n + 2. Let g be s(-2). Let w = g - -1669795. Let j = -230315 + w. Round j to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 4*a - 308. Let q = a - -499. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 + y**2 - 2 + 2*y + y**2)*(426*y + 117 - 117).\nAnswer: 852*y**3 + 852*y**2 - 852*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2379*g**3 - 7 + 2491*g**3)*(-2 - 2*g + 2) in the form b*g + h*g**3 + c*g**4 + p + t*g**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 22314403 (base 5) to base 9\nAnswer: 331664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 2:13 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 3. Suppose 0*b + b = -o + 4, 4*b - 16 = 4*o. Suppose -b*n + 7*n = 9. Solve n*w - 2*y = -4 + 3, 3*y - c = 5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(567) - (0 + sqrt(567))) + -5)*-5 + 0 + -3)**2.\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 4. Let d be (-2*3\/36)\/(-1). Which is the biggest value? (a) 0.4 (b) d (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**5 + 327*h**4 + 8595*h**3 + 50145*h**2 - 127398*h + 68328 = 0. What is h?\nAnswer: -73, -26, -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert eb663 (base 15) to base 3.\nAnswer: 1101222010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fkrr. What is prob of sequence fk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 7:28 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/1274*(455 - 406).\nAnswer: 22\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6077 + -6070. Let l(s) = 10*s**2 - 2*s + 3. Let v(h) = 5*h**2 - h + 2. Give b*v(o) - 4*l(o).\nAnswer: -5*o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 3 = 3*l. Suppose -3 = 4*h + 9. Sort h, 2, l.\nAnswer: h, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(171) - sqrt(171)*2*-6 - sqrt(171) - (2*(sqrt(171) + 0) + sqrt(171))) + -4)*6.\nAnswer: -48 + 324*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + -2 + (-12)\/4 + 4. Let u be -4 - (0 + -2) - -4*k. Put 0, u, -1 in increasing order.\nAnswer: -1, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -32*b**3 - 12*b**2 - 6*b + 18. Let f(v) = -31*v**3 - 10*v**2 - 5*v + 16. What is 6*f(o) - 5*z(o)?\nAnswer: -26*o**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -228 divided by 2?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + 1*sqrt(77) + sqrt(77))\/sqrt(7) - sqrt(11)) + sqrt(33)\/sqrt(27).\nAnswer: 7*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 674087220.\nAnswer: 2, 3, 5, 23, 162823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + (sqrt(684) + 2 - sqrt(684)))*-1 + -2 + -5)*-6)**2.\nAnswer: 4356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 7*i + 4*m = 2974, -i - 5*m + 599 = 0. Let l = i + -599. Which is the closest to -7? (a) l (b) -3 (c) 2\/15 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207099?\nAnswer: 3, 23011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/1 - (-2166 - -5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 + -42. Suppose 2*x - 5 = -11. Let g = x - v. Solve -g = -2*q, 3*w + 2*q + 0 = -5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 + 65301*p + 65305*p - 130606*p.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + t + 2. Let m be u(0). Suppose -9 = -z - 5*w, -3*w + 2 = -4*z + 8*z. Sort z, -4, m.\nAnswer: -4, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 6 + 3\/5*a**5 - 2*a**3 + 0*a**2 + 0*a**4 + 0*a. Find the third derivative of d(c) wrt c.\nAnswer: 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*k = -30, -k + 16 = -4*s + 3. Sort 2, s, -1, 1 in decreasing order.\nAnswer: 2, 1, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12c643 (base 13) in base 4?\nAnswer: 1233102220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t - 5*t + 2*t)*(-3*t + 3*t + 7*t)*(-107806 + 1347*t**2 + 107806 + 644*t**2) to the form f*t**4 + w*t**3 + q + i*t + a*t**2 and give f.\nAnswer: -27874","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 + 6*s**2 + s**2)*(6293*s - 5109 + 15321 - 5109 - 5103).\nAnswer: 18879*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*x**4 - 17212272*x - 353800908 wrt x?\nAnswer: -12*x**3 - 17212272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 532678, 2130712, 4794104, 8522854?\n\"Answer: 532679*f**2 - 3*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -823*b**3 + 5*b**2 - 356*b + 4. Let o(w) = -412*w**3 + 3*w**2 - 177*w + 2. Let v(h) = 3*m(h) - 5*o(h). What is the second derivative of v(y) wrt y?\nAnswer: -2454*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, k: 2, h: 1}. Give prob of picking 1 x and 1 h.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1.327, -2.8, 1, -4, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**3 - 2*l**2 - l + 1. Let p(w) = 4*w**3 + 5*w**2 + 3*w - 3. Let j(y) = 2*y**2 + 24*y + 30. Let x be j(-10). Determine x*u(f) - 4*p(f).\nAnswer: 4*f**3 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10414 > 10414?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 21 - -16) + (-11 - 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1703722?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -aa80?\nAnswer: -aa77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 3*z - 2 - 1 = 0, -4*y = -2*z + 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1419057, -2838114, -4257171?\nAnswer: -5676228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.02 (b) 59\/34 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(-1)))\/(m**4*m)*m**(1\/11)\/(m*m**(-1)) assuming m is positive.\nAnswer: m**(-43\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5\/3)*w\/w**(-5))\/(w\/(w\/w**(2\/15)*w))**(5\/3) assuming w is positive.\nAnswer: w**(52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 122990 to the power of 1\/2, to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -16457060 - -21?\nAnswer: -16457039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29737537?\nAnswer: 607, 48991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -7*q**2\/2 + 495. Let c(z) = -16*z. What is v(c(a))?\nAnswer: 112*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 7*d**2 - 24*d + 14. Let c(g) = 8*g**2 - 27*g + 17. Calculate -5*c(t) + 6*j(t).\nAnswer: 2*t**2 - 9*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 36743*h + 2057616. Determine a(-56).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -272 - -276. Suppose 32*q - 16 = -2*p + 31*q, 0 = l*p + 5*q - 32. Solve 3*y + 3*x - 5*x = -p, 4*y + 9 = x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/160*-16*265\/(-9328)?\nAnswer: -1\/176","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 10:04 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -5891\/3461 less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64285.\nAnswer: 5, 13, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*(sqrt(190)*1*-3 + sqrt(190)))\/((sqrt(50) + -2*sqrt(1800) + sqrt(50))\/(sqrt(5) + sqrt(5) + sqrt(5)*-2*-1)).\nAnswer: 24*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*p - 8 = 0. Suppose -5*d = -3*a - 164 - 85, 0 = -d + p*a + 54. Suppose -d = 2*y - 6*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**4 + 7450201*b**3 + 1544049*b + 1.\nAnswer: 24*b**2 + 44701206*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 7*u - 12. Let m be c(-10). Suppose 0 = -d + 3*j + 11, 4*j = 2*d - 0*d - 16. Calculate the greatest common factor of d and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 + 13 + 22 + 7\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(1575) + sqrt(1575)*-2)**2 - (sqrt(77)\/(sqrt(33)\/sqrt(3)) - -1*sqrt(28))).\nAnswer: -3*sqrt(7) + 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 1374*q + 8216. Determine j(-6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8 - -1) + (1 - 1). Let g = 11 + w. Suppose p + 21 = g*p. Calculate the least common multiple of 3 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/61476 and 41\/12.\nAnswer: 61476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -287\/3 - -101. Which is bigger: -1\/8 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 2:15 AM?\nAnswer: 346","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 5*z + 31, -4*j + 5 = -9*j - 4*z. Let g(h) = -2*h - 12. Let o be g(-9). Let t be (3\/o)\/(1\/(-2)). Sort j, t, 0 in descending order.\nAnswer: j, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7899472778 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33312447*c**6 + 11*c**2 + 688412 wrt c.\nAnswer: -3997493640*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1*sqrt(170)*-5)\/sqrt(10) + sqrt(85)\/(-2*sqrt(5)*3)*3)**2.\nAnswer: 28577\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*q*y**2 - 2*q*y - 25653*q - 4*y**2 + 454*y with respect to y.\nAnswer: 12*q*y - 2*q - 8*y + 454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16174 + -15135. Which is the third smallest value? (a) -1 (b) f (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23 - -1040232?\nAnswer: 1040204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 525*p - 4. Let v(d) = 524*d - 3. Let c(t) = -5*l(t) + 6*v(t). Let o(m) = -2*m - 1. Let x be o(-1). Is c(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*d - 5 - 25*d - 2*d + 5*d - 7 to the form q + t*d and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (14\/(-6))\/(3\/9). Let j = -16 - c. Let d be 4\/(-14) + j\/(-7). Solve 11 = 5*y + d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 289823148 and 719.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*d = -98016, -n = -251*d + 240*d - 19644. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -4.6. Which is the nearest to -1? (a) 0.5 (b) h (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p = -36*p + 25298 - 25514 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 0*u**3 + 7*u + 0*u**4 + 0*u**5 - 11\/30*u**6 + 3*u**2 + 0. Differentiate d(q) wrt q.\nAnswer: -44*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4615662, -4615663, -4615664?\nAnswer: -4615665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p = 63 + 27 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 9*s**2 + 14*s + 1. Let f be q(10). Suppose -6*k + k = 20, m = 2*k - f. Find the common denominator of -61\/9 and (-14)\/m + (-228)\/(-35).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*j**3 - 14*j**3 + 7*j**3.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2 = -a + 52, -4*a = -2*v + 34. Let t = 23 - v. Suppose z + 88 = 4*m - 72, 5*m - 200 = -3*z. What is the highest common factor of t and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 166 + -78. Let x be (-4)\/(-22) - (-248)\/c. Suppose -10*a = -x*a - 238. List the prime factors of a.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**7\/840 - 7*t**4\/24 + 5*t**2. Let y(f) be the second derivative of c(f). Let g(l) = -l. Calculate y(g(u)).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -65688 (base 10) to base 16\nAnswer: -10098","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37563 and 2109.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -55.2363 < -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.18, 12, 14807 in descending order.\nAnswer: 14807, 12, 0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 93047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 15 = -3*w, 4*w = 4*u + 5*w - 47. Suppose 0 = -4*n + n + u. What is the common denominator of 637\/56 - (-2)\/n and 97\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 12*v - 9. Let t be m(-10). Suppose 4*x = -4*l - 9 - t, 4*l + 13 = 3*x. Let z = x - 9. Is z < -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-93)\/(-12) + -4)*11760\/(-1050)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -108199\/22 - -4919. What is the common denominator of b and -21\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 + -13 + -38 + 1*19\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 818997521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-2)*12\/(-45))\/(2222\/(-505))\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, w: 1, y: 1, k: 1, c: 1}. Give prob of sequence yk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 + 6*a**2 + 12*a**2)*(36 - 7 + 0).\nAnswer: 522*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5223\/(-72) - (-2)\/(-16). Let d = p - -71. What is the nearest to 3 in 0, d, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -34*u**3 + 4*u**2 - 8*u - 14. Let z be h(-7). What is z rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*c*m - 10421*c - 374*m wrt m?\nAnswer: -5*c - 374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2376*a. Let l(u) be the first derivative of -u**2 + 686. Calculate l(x(y)).\nAnswer: -4752*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 5*y**2 - 2*y - 8. Calculate the least common multiple of 10 and z(-4).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160304797 is divided by 200.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8826 + 6281. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*r - r - 3*r)*(48 - 2*r + 45 - 92 - 7*r**3).\nAnswer: -133*r**4 - 38*r**2 + 19*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(2\/7))\/b)**(-2\/17)*b**3*b*b\/(b\/(b*b*b*b*((b\/(b\/(b\/(b**(-28)\/b*b)*b)))\/b)\/b*b)))**(-19) assuming b is positive.\nAnswer: b**(-83733\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(1617) + 3*sqrt(1617) - sqrt(1617))*-5)\/(sqrt(9)\/sqrt(75) - sqrt(30)\/(sqrt(20)\/sqrt(2))).\nAnswer: 525*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1798345 or -1798352?\nAnswer: -1798352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 10:47 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2383 - -2406 - (1 + -21)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 481 and 9516?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 24*u + 2*y, -11*u - 11*y = -3*u - 9*u - 10*y - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(256) - sqrt(256)*2*-2))\/((5*(sqrt(96) - (sqrt(96) + sqrt(96)*2)))\/(sqrt(12) + -3*(sqrt(36)\/sqrt(3) + sqrt(12))))*-3)**2.\nAnswer: 7200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.01464 + -34.98536. What is the biggest value in w, 1, -22?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) 0.1 (b) -1\/2 (c) -9 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5 = -3*m, -3*s + 3 = -9. Let l = 4 + m. Suppose 5*r - 14 = 11. Sort l, r, 2 in ascending order.\nAnswer: l, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 + 40. Let c = -2 - -1. Let n = c + t. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.019 (b) -0.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1600.1 to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5, -10, -11, -8, -1, 10?\n\"Answer: 2*d**2 - 11*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.1 and 0.3.\nAnswer: 2.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*k**2 + 0 - 77*k**2 + 374*k**2 - 45*k**2 + 0 - 77*k**2.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -444*k + 240. Let i(a) = 4*a - 8. Let o(l) = -30*i(l) - u(l). Let w(y) = -6*y**2. Calculate w(o(p)).\nAnswer: -629856*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 16. Let u = 34 - z. Let s be (-4)\/u*-30*-6000. Round s to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64693.9 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2472 or 2469?\nAnswer: 2472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 25*x**2 + 64*x + 21. Let d be w(-15). What is the greatest common divisor of 57 and d?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f + 16*f + 7 = 0 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -199 - -206. Sort -4, m, -2 in increasing order.\nAnswer: -4, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**2 - 4 + 5*g - 2*g - g**3 + g**2. Let l = -33 - -37. Calculate v(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - g - 4. Let p be l(3). Factor p*t**5 - 4*t**2 - 2*t**4 + 4*t**2.\nAnswer: 2*t**4*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 517193?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 323692 + -557692. What is k rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 62*f + 55*f - 40 - 29*f + 180 wrt f.\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11455*g + 22960*g - 13402*g + (0*g + 2*g - 4*g)*(-4 - 2 + 5).\nAnswer: -1895*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(sqrt(60)\/sqrt(80)).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 16*c**2 + 13*c - 17. Calculate v(-17).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40535197861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*q - 55 = 13*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8091047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -178160000 to the nearest 1000000.\nAnswer: -178000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 37127?\nAnswer: -37125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -87*(-6)\/(-4)*((-576)\/27 - 14) is divided by 71?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**5\/20 + r**3\/6 + 10*r**2 + 3*r. What is the common denominator of 59\/2 and w(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 124\nAnswer: 37.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 1, -3, 43 in increasing order.\nAnswer: -3, 1, 10, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10 + 4 + -6 - -27. Solve -d*y + 257 = 82 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((1\/(-9))\/((-15)\/180))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(3 - 7) - 0. Suppose -3*l + h = -2*l, 15 = o*h. Suppose -4*x = -l*g + 19915, -4*x = g + 4*g - 19875. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 0*v + 0*v)*(3*v - 22 - 4*v - 4*v).\nAnswer: 10*v**2 + 44*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -2*sqrt(17)*-1 + sqrt(153)*-3)*-4 + 1.\nAnswer: 1 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 157 = 8*y. Does 23 divide (-5)\/y - 277\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.307*1.\nAnswer: 0.307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 2)*(-17*o**2 + 20*o**2 + 24*o**2) + (-o + 0*o - o)*(o - o + o).\nAnswer: -56*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of a**2\/2 + 10*a + 1. Let j be b(-8). What is the third derivative of 0*d**4 + 2*d**j + d**4 + 0*d**2 wrt d?\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5107415547 rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-110)\/(-11) - (12 - 7 - 0). Solve 3*c + n*z = 9, -5*c + 8*z + 15 = 5*z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - 11*m + 7*m)*(-3 + 3 + 3 + (1 - 3 + 1)*(-4 + 0 + 1)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -8*x + 35. Let s be j(4). Let b(r) = -2*r**3 + 2*r**2 + 4*r. Give b(s).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 4:43 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -28*o**3\/3 + 15*o**2\/2 + 332. Find the second derivative of v(n) wrt n.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*270\/432*(-12)\/(-75)*5*-6?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -216 by -27.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 3:26 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 993.6701 decades in years?\nAnswer: 9936.701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, b: 2, r: 2}. Give prob of picking 1 b and 1 r.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 116 + 125 + 59 - 423 + 122 - 14807*v**3 to the form p*v**2 + g*v**3 + x*v + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 7.5. Let y = 0.1 - w. Suppose 0 = 5*j + 1 - 16. Which is the nearest to -0.1? (a) y (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -3, -3*j + 2*o = -102 + 25. Let x = 25 - j. Let a(v) = v**3 - v**2 - 2*v + 89. What is the remainder when a(x) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38285 and 28793265?\nAnswer: 2945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -359 = 6*a - 629. Calculate the greatest common factor of 8865 and a.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(1\/33))\/(m*m*m*m\/(m*m**18*m*m)*m)*m*m*m**(-1\/29)*m*m\/((m*m\/m**(-4)*m)\/m) assuming m is positive.\nAnswer: m**(14351\/957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(720) - (sqrt(720) + sqrt(720) + sqrt(720)*2 + -3)) + -2))**2 + (6*(sqrt(720)*2 + 4) + 5)**2 + 1 + 4.\nAnswer: 7704*sqrt(5) + 162855","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7970 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 11*u**2 + 17*u - 6. Let h(q) = 14*q**2 + 16*q - 9. What is 3*h(w) - 4*l(w)?\nAnswer: -2*w**2 - 20*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 22 = 8. Let s = 3 - -7. Let m = s + x. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*a + 3*a + 18, 2*a = x - 9. Let n be (3 + -1 + -3)*-2. Solve -t + x = n for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2 + -1*sqrt(17) + 3 + 4)**2.\nAnswer: -18*sqrt(17) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 4*l + 42, -3*h + 20557*l - 20562*l = -5*h + 69 for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.24838 in -51, 0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -3\/28*y**4 - 1\/21*y**3 + 0*y + 0*y**2 + 10. Suppose i(x) = 0. What is x?\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + -1. Suppose 176 = -163*p + 207*p. What is the units digit of p\/(-6) - 20\/q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 10*d**2 + 11*d - 11. Suppose 2*j - 18 = 3*i, j - 5*j - 5*i + 36 = 0. Calculate c(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4783060 (base 9) to base 16.\nAnswer: -27942c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*u = 2*u - 21, 2*k + 7 = -3*u. Let b(t) = k - 1 + t + 3 + 0. What is the remainder when 10 is divided by b(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106020 (base 7) to base 14.\nAnswer: 6c47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 883.743 hours in days?\nAnswer: 36.822625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 246697395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y*y\/(y**(-1)\/y)*y)\/y)**(-4\/33)\/(y**(-1))**(-2\/51))\/((y\/(y\/(y*y\/y**0)))**(-38))**(33\/2) assuming y is positive.\nAnswer: y**(703132\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by (-64)\/(-10) + (26\/10 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 4. Let n(l) = -9*l**3 - l**2 + l. Let r be n(1). Let b be (r\/18)\/(-2 - -4). What is the third smallest value in -1\/2, b, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 709 (c) 3\/4 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 651, 655, 669, 699, 751?\n\"Answer: n**3 - n**2 + 651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(((-72)\/(-108))\/((-8)\/12)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (4 - (0 + (-8 - (-5 + 0)))) + -20.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -487030, -487123, -487282, -487513, -487822?\nAnswer: -488215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of 4*t**5\/15 - 6*t**2. Let l(x) = 2*x**2. Determine f(l(i)).\nAnswer: 64*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 1:48 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -132 + 80. Let r = l - -52.000242. Round r to 5 decimal places.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2\/7 + 1124*x\/7 + 2232\/7.\nAnswer: 4*(x + 2)*(x + 279)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 272.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 300006 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*n + 8*n - 52*n - 739*n**2 - 261*n**2.\nAnswer: -1000*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-1 - -6) + 18\/6 and 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**4 + 2*x**3 + x. Let w(y) = -2091*y**5 + 8*y**4 + 20*y**3 - 12*y**2 + 7*y. Let t(u) = -9*m(u) + w(u). Find the third derivative of t(i) wrt i.\nAnswer: -125460*i**2 - 24*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-702620)\/7 - 2\/(-7). Let o = p - -74176374\/739. Let j = o - 30191\/6651. Find the common denominator of 131\/6 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b - 7. Let a be x(12). Suppose 2*t + 5*z = 3, -2*t + 4*z = -a*t + 8. Suppose -j + t*j - 393 = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-729)\/1215)\/((-6)\/460).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 209.46 + -212. Let y = j + 2.540665. Round y to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5*a - 3. Let o(s) = 0*s + s + 2*s + 2 + s. Let d(g) = -6*k(g) - 7*o(g). Determine d(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 412 - 2059\/5. What is the nearest to j in 0, -1, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 1 = 44. Let d be ((-21)\/(-9))\/((-5)\/x). Suppose -3*w - 44 = -d*w. Calculate the smallest common multiple of w and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -440952?\nAnswer: 5\/440952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 10*x**2 - 36*x + 66. Give o(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v - 2*v - 2*v)*(-v**2 - 176*v + 176*v - 3*v**3) + 3*v**4 + 3*v**4 - 5*v**4 + (-17*v**3 - 2*v**2 + 2*v**2)*(3*v + v - 6*v).\nAnswer: 32*v**4 - v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 32 - 13 = 0. Let m be 24\/20*(-3)\/q. Which is the closest to 1\/3? (a) m (b) 2 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111010101 (base 3) in base 10?\nAnswer: -9568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 117329 to the power of 1\/2, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13139702 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znbbnbb. What is prob of picking 1 b and 1 z?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/11? (a) 4 (b) -3 (c) 5\/51 (d) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4\/9 + 420592*h**3\/9 - 841190*h**2\/9 + 420596*h\/9.\nAnswer: 2*h*(h - 1)**2*(h + 210298)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + -212 + 190 + -1 + 3.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -33071 - 20?\nAnswer: -33091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 439 = -239*r - 883 - 590 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 4*i + 2. Let f be j(-4). Is f*(3 - 26\/6) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0.4 (c) -20 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.5 + -6.4. Let h = x + 5.7. Let k = h + -10. Which is the closest to 1\/3? (a) 2 (b) k (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 61843631535 and 551.\nAnswer: 61843632086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -1553\/4*c**2 + 0 + 1239\/4*c**3 - 1\/4*c**5 + 311\/2*c - 307\/4*c**4 = 0.\nAnswer: -311, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pii when three letters picked without replacement from {i: 7, p: 3}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.76 + -0.46. Which is the biggest value? (a) 4 (b) q (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -394035.5 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4\/3, 2, -2\/9, -10?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 22555273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 2:13 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12548810.31 rounded to the nearest 1000?\nAnswer: -12549000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 37 (base 9) to base 5\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 6:17 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 6*j + 10 = 5*j, 0 = -2*m - 2*j + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -64*r**3 - r**2 + 2*r - 1. Let q be w(1). Let h = 89 + q. Let o(n) = n + 10. Let c be o(-4). Solve -c*x = -11*x + h for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, -2\/33, -0.4?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56738 is divided by 1533.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*z + 623*z = 27470078 - 4082295. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 190 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13261 + -9466. Is c a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -41 and -42 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01141 to 4 dps.\nAnswer: 0.0114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 321 (base 6) to base 4\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 3 + 0 + (101 + -53 - 0)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 35 - 10 = 0. Let i = -9 + j. Solve -7*r + 6*r - 4 = i for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/4 and 45\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15719\/78 - -2856\/13. Calculate the common denominator of p and -83\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 20 = s, 10*s - 5*s + 3*z = -12. Let l = 5 + s. Suppose -l*t + 30 = -25. What is the smallest common multiple of 5 and t?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 266? (a) -639 (b) 4\/13 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - m + 4. Suppose -2*q + 13 = -5*q + 4*g, 0 = 3*q + 2*g + 25. Let t be i(q). Calculate the greatest common factor of 40 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u**2 - 6*u - 1. Let j(c) = -2*c**3 - 11*c**2 - 19*c - 2. Give 7*a(o) - 2*j(o).\nAnswer: 4*o**3 + o**2 - 4*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7726 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -250053 by -4903.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (26*2)\/(144\/(-3600)*-50)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**4 - 88*b**3 - 108*b**2 + 352*b + 368 = 0.\nAnswer: -2, -1, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12862453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from okkkokkk. Give prob of picking 1 o and 2 k.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -11*d**4 + 8*d**3 + 6*d + 129. Let k(q) = -34*q**4 + 22*q**3 + 17*q + 387. Let w(j) = -11*a(j) + 4*k(j). What is the first derivative of w(v) wrt v?\nAnswer: -60*v**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -f - 11, -x - 2*f + 0*f = -13. Suppose 3*q - 2 = u, 5*q + 10 - 60 = -x*u. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 3) to base 8\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1986*z - 480 = -2006*z. What is the remainder when 1966 is divided by z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -772*q - 12634 = 73058 for q.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -138*f - 20. Let d be t(-1). Suppose 112*g + 210 = d*g. What is the highest common factor of g and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1952)\/(-122) + (-7)\/((-693)\/(-1620)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.1998 - 4.2. What is k rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 5*l + 560. Let p = l + -1141\/4. Calculate the common denominator of 145\/6 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 - (-17 + 3 + 8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -1. Let c = s - 0. Suppose d + c*d = 30. Calculate the lowest common multiple of d and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 2:28 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1476 + 444 = -70*y + 10*y for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.4, -0.087, -4?\nAnswer: -0.087","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2116*d**2. Let h(w) be the third derivative of -w**4\/24 + 1125*w**2. Give h(u(n)).\nAnswer: 2116*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 3. Let i(d) = 8*d + 1. Calculate i(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48529, 48532, 48535, 48538, 48541?\nAnswer: 48544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -5*m**2 + 342225*m - 342220 = 0?\nAnswer: 1, 68444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*b = -2*v + 71, 5*b - 120 = -3*v. Let x = -19 + b. Suppose 7*n + 4 = x*n. Solve -n + 0 = -y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + -32. Let p = 131 + o. Factor -2*q**2 - q - 28*q - 11*q - p - 3*q**2.\nAnswer: -5*(q + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -166541240?\nAnswer: 166541235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**3 - 17*l**2 + 26*l + 176. What is a(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from ieieeeeeeweeeewewe.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -6. Let r(j) = -15*j + 8*j - 7 + 9*j. Give r(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41238\/11 + 3750. Calculate the common denominator of r and 97\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 47*x - 54*x. Suppose 4*w = -9*g + x*g + 1431, -2*w = 0. Is g a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.643? (a) -132 (b) 2\/7 (c) 1 (d) 1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 85a + 2170?\nAnswer: 2a1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + (sqrt(1260)*-4)\/((sqrt(84) + (sqrt(84) + sqrt(84)*-4 - sqrt(84)))\/sqrt(12))).\nAnswer: -2 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/7 of a week in hours?\nAnswer: 912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1097525?\nAnswer: 5, 11, 13, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 18\/5 of a tonne?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 5*r**2 + 17*r - 77. Suppose 24 = 4*t + 2*c - 0*c, -20 = -2*t - 5*c. Let d = 24 - 4. What is the least common multiple of d and i(t)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4163210781 rounded to two dps?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30247751167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 900549 is divided by 60.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*r - 3. Suppose 3 = r*f - 6. Factor -i**3 - i - 3*i**2 - f*i + 3*i - i.\nAnswer: -i*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 126*t + 2650 - 8950 for t.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -24253, -24147, -24039, -23929, -23817, -23703, -23587?\n\"Answer: h**2 + 103*h - 24357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -18, 3, -40 in descending order.\nAnswer: 3, 2, 1, -18, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + z - z)*(3 - 3 + 6*z)*(-z - 6 + 6)*(-18 - 55 + 3)*(4 + z - 4)*(2 + 1 - 1).\nAnswer: 1680*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-16))\/((-1)\/(-2))*16. Suppose 0 = -4*w - a*f - 12, 4*w + 0*f - 18 = 2*f. Solve w = 2*v + r - 0, -8 = 2*r for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 291183?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**4 + 12 + j + 5*j**4 - 13 - 2*j**2 to the form d*j + a*j**4 + g + h*j**2 + q*j**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59 by 85.\nAnswer: -59\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -15*a**2 + 18. Let t(g) = -g**2 + 1. Let m(k) = -2*d(k) - 6*t(k). What is the first derivative of m(r) wrt r?\nAnswer: 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 4706*m - 219003. Give l(-47).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3045542?\nAnswer: 2, 1522771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4035\/868 + 5\/868. Calculate the common denominator of 47\/14 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6165918 to the power of 1\/2, to the nearest integer?\nAnswer: 2483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12212 and 4?\nAnswer: 12212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 4*v + 7. Let i be o(-5). Suppose -4*b = 20, -i*x + 3*b = -2 - 13. Let j(d) = d - 11. Calculate j(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-165)\/(-40) - (-1)\/(-8) - -1262. Let l be (-3)\/(-15) + 122\/(-10). What is the units digit of z\/21 - l\/(-42)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/9 - 114709\/(-63). Suppose 5*v = -5*l + 2*v + p, v = -4*l + 1454. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 31, 0.1?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -2\/7, 4, 29?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 88607*b**6 - 90*b**2 - 383 wrt b?\nAnswer: 10632840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 30 and -214.\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4753 - 1971. Suppose 25*q - 29107 = -w. What are the prime factors of q?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*g**2 + 121046680*g - 26899260.\nAnswer: -5*(g - 2689926)*(9*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 1344279996 = 2*h, -12*o + 13*o - 5*h = 336070010. Round o to the nearest 1000000.\nAnswer: 336000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1703645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69990845 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.6 and -1700491326.\nAnswer: -1700491327.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 92788963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -11*z**3 + 4*z + 4. Let k(o) = 175*o**3 - 63*o - 63. Determine 4*k(q) + 63*t(q).\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*h**3 + 323 - 10*h**3 - 8*h**3 - 2*h**4 to the form b*h**3 + g*h + z + q*h**2 + f*h**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/4, -0.2, -2\/29, -1\/6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 - -21?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2193531\/100852)\/(12\/(-8)*1\/(-6)).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -1634016*w + 1634011. Determine y(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 385964, 771930, 1157896?\n\"Answer: 385966*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 972 - 2\/(-4 + 2). Suppose -6*t = -38 + 8. Suppose h - l = -2*u, 2*h - t*u = -u + 1922. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 406, 4273.5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2178 a factor of 211729914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -10 + 8. Suppose 0 = y*o - 6*w + 5*w - 11, -3*o + 5*w = -27. Suppose 0 = o*p + 2*j - 46, -2*j - 3 = -3*j. Solve -3*k + 4 - p = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1339006372*d**4 + 1111192810*d**2.\nAnswer: -32136152928*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - l + 13, 5*r - 2*l + 4 = 48. What is the remainder when 121 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 302*v**2*z - 1438*v**2 + 125*v*z - 2*v - 425*z wrt v?\nAnswer: 604*z - 2876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6722197?\nAnswer: 37, 97, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*a - 14 = -163 + 1122. Solve 41*f = a*f + 272 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 = 9*z - 8*z. What are the prime factors of z?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181921079.\nAnswer: 107, 1700197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42262781?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: 89 - 112 - (3 - 2)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -5*l**2 - 15*l - 10. Let q(z) = z**2 + z + 2. What is 6*q(m) + s(m)?\nAnswer: m**2 - 9*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/5)\/(4\/(-20)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2 + 5*(2 + sqrt(1053))))**2*1.\nAnswer: 6480*sqrt(13) + 237501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -6) + 0\/1. Suppose -5*t - 3*h = -13, -j*h - 41 = -5*t - 4. Solve 3*o = -10 - t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from nllnlllrnnrnllrrn.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 88, 170, 268, 388, 536, 718?\nAnswer: 940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 46*b**2 + 180*b + 507. Give a(-42).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 49 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 9. Let d(h) = -h**2 + 4*h. Let v be d(6). Let g be (2\/(-4))\/(t\/v). Solve x = g*x + 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**3\/6 + 499*w. Let p(h) = 6743*h. Calculate j(p(t)).\nAnswer: 6743*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - 51683 - 29846. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 > -0.14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 90*q**2 - 7*q + 24. Let l be m(3). Suppose -3*a + 2*a = 3*b - 207, l = 4*a - 3*b. List the prime factors of a.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2125 + 2127. Put -30, 4, w, -5 in increasing order.\nAnswer: -30, -5, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.307 - -0.587. Let g = a - 5.28. Do -2.1 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100101101110010011101 (base 2) to base 10\nAnswer: 1236125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 201172081?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00336196 to four decimal places.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 213523 (base 6) to base 8\nAnswer: 42433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/10)\/6*1*-42?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65804?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-1\/3)*(t**23*t)\/t assuming t is positive.\nAnswer: t**(73\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 591031 times 1?\nAnswer: 591031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x + 25. Let u be o(-10). Suppose -3*m = f - 401, -u*m = 8*f - 3*f - 655. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 311103 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/25)*j**(-5\/3))**31)**(-32) assuming j is positive.\nAnswer: j**(118048\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.07 + -0.43. Let c be ((-15)\/2)\/(27 + -30). Put c, 3, n, 0 in decreasing order.\nAnswer: 3, c, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 48\/(-64) + (-454)\/(-8). Suppose 7*k + y = 7. Let q(u) = -u**3 - 8*u**2 - 8*u - 11. What is q(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 6:24 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jhjghgjjhhghjhhh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-4944)\/2781 - (-4)\/6\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 117\/7 in -144\/7, 2\/5, -3\/7, 7, 0.04?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -39, -81, -131?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 21 = 6. Let z be (27\/n)\/((-6)\/20). Which is smaller: 5 or z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 10) to base 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oi when two letters picked without replacement from vvivvvvvviioovvdoo?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p + 24*p + 140 = 4*o, 3*o - 2*p = 100. Calculate the remainder when 739 is divided by o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(10) + sqrt(640) + sqrt(640)*-2 + sqrt(640) + sqrt(640)).\nAnswer: sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 298473740 to the power of 1\/2, to the nearest integer?\nAnswer: 17276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-8)\/(4\/(-2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u**2 - 26*u - 56. Is t(-19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k + 0*k + 35 + 6*k - k to r + h*k and give r.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -112*z**5\/5 - 79*z**2 + 268*z. Differentiate r(a) wrt a.\nAnswer: -1344*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-3)*63\/6. Let b = 124 + t. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6.528187 or -1\/3?\nAnswer: 6.528187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o + 1. Suppose -12591*i + 12622*i + 217 = 0. Let n(t) = 4*t + 1. Calculate i*l(x) + 4*n(x).\nAnswer: 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 165494*k**5*t + 798*k**5 - 1616681*k*t + 12*k wrt k?\nAnswer: 3309880*k**3*t + 15960*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.05 + 0.01. Let v = -1.94 - z. Suppose -2*f = -4*b - 10, -3*b - 2*f = -7*f - 10. What is the closest to 0.1 in b, v, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1224300 and 1120?\nAnswer: 9794400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 239, 950, 2133, 3788, 5915?\n\"Answer: 236*y**2 + 3*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 92026 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 47*m + 153. Calculate p(50).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1018176 and 456?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5*sqrt(2)*-4 + -2).\nAnswer: 12 + 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/834 and 18\/139.\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/110 - (-180)\/22. Suppose 0 = -3*d + g + 4. Suppose d*o - 21 = -a - 2*a, 3*a = 2*o + 3. Solve 2*k - a + 1 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 8\/5, 1, 4, 1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 2, -91, 14, 3.\nAnswer: -91, -3, -2, 2, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1720171 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -0.1, 5, 4, -0.17 in descending order.\nAnswer: 5, 4, -0.1, -0.17, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 29.4.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/28140 and -37\/38190?\nAnswer: 534660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 3*l + 1. Let b(a) = -a**3 - 2*a**2 - 2*a. Let s(c) = -c**3 - 3*c**2 - 2*c. Let t be s(-2). Let g = -2 + t. Let y be b(g). Calculate f(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 1:36 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 15*n**2 + 11*n + 11. Let l(o) = -4 - 2 - 5*o**2 + o**2 - 4*o**2 - 6*o. Let k(b) = -11*l(b) - 6*x(b). Let u(s) = -3*s**2. Calculate u(k(p)).\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56208 and 72602?\nAnswer: 1742448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2389109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 3. Let x = -7 + 4. Let f = x + 8. Is d smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 738 and 492420?\nAnswer: 60567660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**4 - 321980*q**3 + 12958890050*q**2 = 0.\nAnswer: 0, 80495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 2336\nAnswer: -3\/2336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-77)\/(-55)*(2 - 2 - 75\/(-30))\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/3)\/((-1)\/(-3)). Suppose 4*o = -4*m + m - 3, -35 = -5*o + 4*m. Suppose -8*n + 10 = -o*n. Solve -n*a = -k - 7 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of 1\/15*h**5 - 23*h**2 + 0*h + 0 - 7\/6*h**3 + 1\/8*h**4. Let t(a) = 0. Calculate a.\nAnswer: -7\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 2*k**2 + 5*k - 16. Let o(j) = j**3 + j. Let y(t) = 2*o(t) + z(t). What are the prime factors of y(3)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133498547 divided by 7?\nAnswer: 19071221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 + 3316988*v - 318467712.\nAnswer: 4*(v - 96)*(v + 829343)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1107797872.\nAnswer: 2, 1451, 47717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((m**3 - m + m)*(2 + 0 + 0) + (1 - 1 + 2*m**3)*(0 + 1 + 1))*(-3 + 3 - 2).\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18\/65 + 4\/455. Which is the nearest to r? (a) 0 (b) -1 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of l**4\/4 + 2*l**3 + 5*l**2\/2 + 5*l - 35. Let j = -1 + -4. Let h be q(j). Solve 3*f = i - h*i + 8, 5*f + 3*i = 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108471 is divided by 108460.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2173371076?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - r - 0*r - 54, r = -5*j + 142. Let a be (-8)\/j*-2*7. Solve 9*u = a*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2312*b - 373*b**3 + 778*b + 755*b - 150*b**3 + 779*b.\nAnswer: -523*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 + 4012*a + 2*a**2 + a**3 - 4012*a.\nAnswer: a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -16, -32, -48?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/((r\/((r*(r*r**22*r*r*r)\/r)\/r*r))\/r))\/(r**(-1\/24)\/r))\/(((r\/(r\/(r\/(r**(-11)*r*r))))\/r)\/r**(13\/3)) assuming r is positive.\nAnswer: r**(195\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*c = 98*c - 45*c - 280. Calculate the remainder when 157 is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.34468*0.3\nAnswer: 0.103404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 1. Let n be z(1). Let g = n - -5. Let x = 347 + -346. Do x and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200028 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a*p*v**2 + 31084*a*p + 4*a*v**4 + 90892*p*v + 20*p wrt v?\nAnswer: 2*a*p*v + 16*a*v**3 + 90892*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u**2 + 2*u**2 - 3*u**2)*(225 - 225 + 141*u)*(-2*u + 4*u - 4*u) to the form s + g*u**2 + a*u**3 + p*u + h*u**4 and give h.\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -148 + 147.825. Round h to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 21 = -133. Suppose -4022 = -s*d + 1718. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 133011560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1432*f**4 + 4*f**2 - 826*f + 111662708.\nAnswer: 5728*f**3 + 8*f - 826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(-6)*(-261)\/(-609). What is the closest to -1 in r, -2, -4\/9, 7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(475) + 2*sqrt(475))*2 - (-5*(-1 + sqrt(475)) - sqrt(475))) + ((5 + sqrt(475) + -1 + sqrt(475))**2 - sqrt(475))*5)*-1.\nAnswer: -9575 - 435*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -2\/5 (b) -5\/9 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3754 + -1429. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a decade in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 5\/5747997?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -125112 - -15?\nAnswer: -125075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-18) - 33\/(-18). Suppose -16*r = -15*r - t. Solve r = -5*g + 17 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 644435725.\nAnswer: 644435720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**3 - b**3 - 2*b**3 + (-5*b**2 + 3*b**2 - 5*b**2)*(15 - 15 + 5*b).\nAnswer: -34*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.6 - 2.6. Let s = -0.06 + 3.06. Let f = s - 3. Is f > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 0*p - 90. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 11*i**2 - 4*i - 8. Let a be v(-3). Let x be a\/(-623) - -3*(-5)\/(-105). Which is greater: -2\/3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 + 7*w - 6. Let u(k) = -2*k**2 - 7*k + 7. Calculate 6*q(v) + 5*u(v).\nAnswer: 2*v**2 + 7*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -8*d + 63. Let x be h(5). Suppose 2*f = i - 22, 0*i + 5*i - 138 = 3*f. Suppose 2*n = -5*r + i, -x = -2*r - 2*n - n. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6*l**2. Let t(c) be the third derivative of 11*c**5\/10 + 3*c**2. Let a(j) = 7*j**2. Let g(r) = -48*a(r) + 5*t(r). Calculate h(g(d)).\nAnswer: 216*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -24*t**5\/17 + 20074*t**4\/17 + 92534*t**3\/17 - 20074*t**2\/17 - 92510*t\/17 = 0. What is t?\nAnswer: -55\/12, -1, 0, 1, 841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r + 984467 - 3*r - 984463 in the form n + f*r and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 390 - 394.4. What is the third biggest value in t, -1\/3, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s. Let o(v) = v + 6. Let p(n) = n + 5. Let k(c) = -5*o(c) + 6*p(c). Give d(k(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, d: 1, p: 1, o: 2, u: 1}. What is prob of picking 1 o and 1 p?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/15, 1, 20, -3, 0.4, 2 in decreasing order.\nAnswer: 20, 2, 1, 8\/15, 0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -505 - 39 = 68*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -49. Let v = -23 + l. Let i be (-4)\/v*(-507)\/26. Solve i = -4*s - a, 0 = -s - 2*a + a - 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**3\/2 - 324*f**2 - 646*f = 0?\nAnswer: -646, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, o: 1, p: 1, y: 1, t: 1}. What is prob of picking 1 o and 1 t?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 468\/11? (a) 0.3 (b) 0.5 (c) -4 (d) -161\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5*(sqrt(833) - -6*(sqrt(833) + (sqrt(833) - (-1 + sqrt(833)))))*-1 + 0)*-1*-5)**2.\nAnswer: 3307500*sqrt(17) + 229798125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 8) + 4 + -2 + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/6)\/(2\/120). Let o be (-1)\/3 - (-28)\/(-6). Let r = o - n. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5884669512 a multiple of 549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 170112 and 56704?\nAnswer: 170112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 31*z + 90. Calculate the remainder when 66 is divided by v(29).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1795 and 2745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s*s*s**(2\/21)*s)*s)*(s\/((s*s*s**(-8))\/s*s)*s*s)\/s*s*(s*s*s*s\/s**(1\/4))**5)\/((s**2)**(5\/6)*s**(2\/11)\/(s*s**0*s)) assuming s is positive.\nAnswer: s**(9239\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7691 divided by 4?\nAnswer: -7691\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1140 = 9*b - 1158. Let j(g) = 5*g - 6. Let f(h) = -h. Let p(l) = -1. Let r(n) = f(n) - p(n). Give b*j(q) + 14*r(q).\nAnswer: -4*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3045564 (base 7) to base 9\nAnswer: 615063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 * 831793\nAnswer: -8317930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c - 45 = -26. Is -318 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/10 and 27\/5944.\nAnswer: 29720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**8\/2520 + a**7\/1575 - a**6\/900 - a**5\/450 + 5*a**2. Find d, given that s(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492356 is divided by 23429?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 10:38 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**4 + i**3 - i**3 + (-7*i + 7*i - 11*i**2)*(-16*i + 16*i + 2*i**2) to a*i**4 + s + o*i**2 + q*i**3 + b*i and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 8:45 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6899051105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 7*t**5\/30 + t**4\/9 - 7*t**3\/9 - 2*t**2\/3 + 2*t + 3. Let v(s) be the first derivative of h(s). Factor v(u).\nAnswer: 2*(u - 1)*(u + 1)*(7*u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62294, 129029, 195764, 262499?\nAnswer: 329234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -520771, 0 in decreasing order.\nAnswer: 0, -2, -520771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8382756 to the nearest integer?\nAnswer: 2895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55318 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 - 2652695.17506?\nAnswer: -2652695.18506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3824361 or -3824367?\nAnswer: -3824367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1368 divided by 342?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -13160672 times -12.2\nAnswer: 160560198.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -319837*n**3 + 470759*n**2?\nAnswer: -1919022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 85 + -80.55. What is s rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**3 + 7*j**2 + 4*j - 7. Let r(p) be the second derivative of -p**5\/10 + p**4\/2 + p**3\/2 - 3*p**2 + 3*p. Calculate 6*q(c) - 7*r(c).\nAnswer: 2*c**3 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of q**6\/39 - 22*q**5\/65 + 19*q**4\/26 - 6*q**3\/13 - 84. Let a(m) = 0. What is m?\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a. Let c(n) = -7*n**2 + 1064. Determine c(k(m)).\nAnswer: -7*m**2 + 1064","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 117087885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 31424*v + 157746. Determine u(-5).\nAnswer: 626","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10b4cb (base 13) to base 7\nAnswer: 3240255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 8*b + 156. Let g be l(9). Solve 20*a - 32 = 24*a + 3*o, -5*o = g*a + 35 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 663 + -660. What is the derivative of -17*z**u + 314*z - 196 - 13*z**3 - 318*z wrt z?\nAnswer: -90*z**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l. Let f(d) = 1170*d + 5. Determine v(f(o)).\nAnswer: -2340*o - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + (3*(sqrt(363) + 1) - sqrt(363)))**2.\nAnswer: 198*sqrt(3) + 3276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-41)\/2 - 115\/(3105\/(-324)).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -678 + 684. Solve -4*w - 10 = q for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -298843859*x**3 - 78262796*x**2 - x.\nAnswer: -1793063154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 92 - 12. Let d = 80 - w. Suppose 2*b - 3*u + d*u - 818 = 0, b + 4*u = 431. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a - 26*a - 456896 = -18*a. What are the prime factors of a?\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**3 + 99*h**2 + 49*h - 20. What is p(-49)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -245, -495, -745, -995, -1245?\nAnswer: -1495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 0*b**2 - 9*b**2 - 10 + b**2 - 3*b**2 - 11*b + b**3. Let m be q(12). What is the tens digit of ((-23)\/m)\/(3\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, g: 1, d: 2, e: 3}. What is prob of sequence agd?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (40\/(-28))\/(2\/(-14)). Differentiate 2 + t*v**2 - 4*v**2 - 8 wrt v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 10*x**2 + 2*x - 18. Let n be y(10). Solve -2*d = 4*a + 30, -n*d = 5*a + 28 + 7 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.1 - -91?\nAnswer: 59.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -3. Let y = 14\/31 - 8\/155. Which is the closest to y? (a) 1\/4 (b) -3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (7 - 37) - (7 + -29 + 24).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(19) + 3)**2 + (sqrt(19) - 1*sqrt(171)) + -6*(-2 + sqrt(76)\/sqrt(4)).\nAnswer: -6*sqrt(19) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 5*g + 10, 5*p - 18 = -4*g + 6*g. Suppose -6 = -3*h, 7*j - p*j = -3*h + 21. Solve -2*q + j*q = -3*s + 9, -q + s = -1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -83\/3 + 27. Let w be (-2)\/(-3) - (464\/(-12))\/2. Let a be -5 + (w\/4 - 1). Which is smaller: a or z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, -6\/5, -0.1, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.50067ns to microseconds.\nAnswer: 0.05150067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/8*(-80)\/50?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18108 and 7407.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 81953 equal to 81717?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*o**2 - 1880 + 1866 + 11*o - 4*o**2 - 6*o**2 to y + m*o + u*o**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 244400 to the nearest 10000.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 23\/7, -7, 14, -8, 0, -3.\nAnswer: -8, -7, -3, 0, 2, 23\/7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -39 + 47 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -114905*5\nAnswer: -574525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 159 = 5*j + 186, 3*h = 5*j + 28 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15922 equal to 15921?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 47*d**2 - 427*d + 975. Give y(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 42 in 210, -3, -1\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 16*h**2 + 9. Let o(u) = -17*u**2 - 10. Let d(n) = -6*j(n) - 5*o(n). Differentiate d(v) with respect to v.\nAnswer: -22*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3756 from -0.6589.\nAnswer: -3756.6589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -8. Let i = 0.06 - 2.06. Which is the closest to i? (a) 2 (b) t (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*l + 18*l - l - 675 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {b: 3, j: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, -2\/109, 1, -0.2, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 413*m**2 - 1712*m**2 - 718*m**2.\nAnswer: -2017*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21.229674*5.\nAnswer: -106.14837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvq when three letters picked without replacement from vqqqavtqqqqvqqaaqqe.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -372110 bigger than -372110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20434 (base 10) to base 2.\nAnswer: -100111111010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3\/7))**(6\/13)*(p\/p**(-10))\/p**(-7))**(5\/2) assuming p is positive.\nAnswer: p**(4050\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 16 = r. Find the common denominator of -55\/3 and ((-3)\/(-9))\/(5*r\/12).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27952631?\nAnswer: 7, 3993233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2325 and 0.018181?\nAnswer: -42.270825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/6)\/(8\/12). Let o = -127 + 124. Let f = 2\/7 + -4\/7. Sort f, o, n in ascending order.\nAnswer: o, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -2\/11, 219, 5.4, 2.\nAnswer: -2\/9, -2\/11, 2, 5.4, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oowooooowoooow. Give prob of picking 1 o and 2 w.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 687785 and -176?\nAnswer: -121050160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -381 and -719?\nAnswer: 273939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.4 - -1.16. Let d = p - -0.292. Round d to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 756 by 378.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221211200122201222 - 0?\nAnswer: 221211200122201222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 131351 and -0.035452.\nAnswer: 131350.964548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6798032 divided by -1\nAnswer: 6798032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*w**2 + 1 + (3 - 3 - 2)*(-3*w**2 + 4*w**2 + w**2) - 3*w**2 - w**2 + 3*w**2 + 8*w**2 + 135*w - 135*w.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/9)\/((t\/t**(7\/2))\/t))**(-2\/13) assuming t is positive.\nAnswer: t**(-67\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**3 - 2*x**3 + 33 - 3*x**2 + 3*x**2.\nAnswer: -3*x**3 + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 2. Let a be c(0). Suppose -a*i + 6 = -16. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + s - 8, -76*k = -81*k - 3*s + 4. Solve 2*x + k*c = -12, -13*x + 2*c = -18*x - 27 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 2:45 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*v - 23*v + 4*r - 15264, -2*r - 10 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-1 - 6 + 3)*(3 - 5*h - 3).\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 0.003.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - d)*(d - 2*d + 0*d) - 3*d + d**2 + 3*d - 3*d**2 + 5*d**2 - 4*d**2 + (-4 + 5 - 4)*(-5*d - 2*d**2 + 5*d).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1324*s + 1319*s - 65 = -m, -4*s = -m + 62. Suppose 2005 = 5*c - 3745. Calculate the greatest common factor of m and c.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + 2173227182080\nAnswer: 2173227182080.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/17? (a) 5\/3 (b) 0.8 (c) -0.6 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + -2)*(-9)\/3 - 20. Let d = 29 + g. Let c(y) = 7*y + 10*y - d*y. Let p(v) = -5*v. Calculate c(p(l)).\nAnswer: -25*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7448634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 * 7.\nAnswer: 4.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8*10.4\nAnswer: -83.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i - 4. Let f(g) = -2*g**2 + 3*g + 3. Let s be f(3). Let r be n(s). Suppose -k**3 + k**2 - 4*k**3 - r*k + 3*k**3 + 3*k**2 = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*s**3 + 330*s**2 - 655*s + 300 = 0. Calculate s.\nAnswer: -15, 4\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -q**2\/2 - 5*q - 1. Let m(x) = x**3 - 30*x**2 - 110*x + 350. Let c be m(33). Give l(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 2*h + 14, -131*q + 133*q - 3*h - 6 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 - 28. Let x(a) = a. Let z be x(3). Which is bigger: z or s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d + -175b?\nAnswer: -174c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2. Let m be (-40)\/(-4) + -3 + 4*-1. Let d(i) = m - 606*i - 3 + 622*i. Determine c(d(l)).\nAnswer: -512*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 30*w**3 - 50*w**2 + 50*w. Let q(d) = -d**3 + d**2 - d. Determine 50*q(l) + u(l).\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84 + 54 + 55 - 205 - 2*k**2 + 62.\nAnswer: -2*k**2 + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/(h**(1\/20)*h))*h\/h**14 assuming h is positive.\nAnswer: h**(-239\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c + 252 - 252.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 343723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 2:21 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -29300000 rounded to the nearest 1000000?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -332\/381431 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**15)**15)**(-3\/40))**(-43\/4) assuming y is positive.\nAnswer: y**(5805\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 9051645 + 7757559. Let z = -13152301 + f. Round z to the nearest 100000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 643734021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 741761\/291 + -2549. Let o be (8 - -1 - 4) + -5. Are o and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15593803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 265\/53*(-3)\/25\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1814*a - 3721 = -2002*a + 4175 for a.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4961*h + 17148 + 2696 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x - 1. Let j(t) = -16*t + 6. Suppose 24*d = 26*d + w - 27, 3*d - 23 = 2*w. Give d*k(h) + 2*j(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 758 - 761, 0 = -4*w - 20*q - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 2420.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**9)**(-4\/3)*((((t\/t**(-10))\/t)\/t)\/t)**43)**26 assuming t is positive.\nAnswer: t**8632","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1185026806 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**6\/10 + 3*j**5\/4 - j**4\/4 - 5*j**3\/2 + 193*j - 2. Determine p, given that i(p) = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 301*o**5 + 132*o - 2 wrt o.\nAnswer: 6020*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 574974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 261*o**2 + 5*o - 5. What is the units digit of q(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19426042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**5 + 24360*t**4 - 50552859*t**3 + 4451325570*t**2 - 8751089988*t + 4350292920 = 0. Calculate t.\nAnswer: 1, 90, 4014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157, 314, 471?\nAnswer: 628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b1b (base 16) to base 7.\nAnswer: -26142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 14*v + 98. Let x be w(-7). Suppose 2*n + 4*f - 148 = x, 3*f - 387 + 3 = -5*n. Calculate the lowest common multiple of 39 and n.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 4:09 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o. Determine d(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1954699935 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -285, -570, -855?\n\"Answer: -285*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9590 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 = 4*y - 157. What is the greatest common divisor of 176 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -27993811, -55987630, -83981451, -111975274, -139969099, -167962926?\n\"Answer: -v**2 - 27993816*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2050\/8 + 9\/12. Suppose 0 = -4*z + 1407 + f. Let o = z - 158. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ngbnbxbnwbbwxnnxn. Give prob of picking 2 b.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81027317?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 - 45.6. Let g = f - 0.4. Let h = g + -4. Which is the biggest value? (a) -3 (b) h (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(8*k + 16 - 16) + 2*k - 2*k + k + 2*k - 2*k + k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (624\/(-91))\/(20\/(-210)).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22.4 + -1.4. Let q = 23 - m. Put 3\/7, -0.2, 3, q in descending order.\nAnswer: 3, q, 3\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 36 = -k. What is the derivative of -k*l - 59*l + 3*l + 16 wrt l?\nAnswer: -65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - w + 66 = 0, -5*n = -0*n - w - 151. Let s(p) = 11*p + 302. Calculate the remainder when s(-8) is divided by n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1707.081nm in kilometers?\nAnswer: 0.000000001707081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -29*k - 398. Give v(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92983832.\nAnswer: 2, 101, 115079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 190 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-10)\/2)*15\/6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y**(-3\/4)))\/y*y)\/y**25)\/(y\/(y**10\/y*y*y*y*y))**(3\/7) assuming y is positive.\nAnswer: y**(-535\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by (0\/2)\/(6 - 5) + 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222000 + 10?\nAnswer: -221220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-16)\/12)\/((-4)\/6). Suppose -5*d + 0*d = l*x - 56, 3*d = 2*x + 40. Solve 2 - d = -5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-559)\/(-52)*-3)\/((-276)\/(-368))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 3*k - 0*k. Let o = 8 - 9. Let w = 3 - o. Solve 5*p = -4*q + w, k = 5*p - 5*q - 54 + 14 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 270*y - 1310. Does 5 divide t(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 2, -175?\nAnswer: -175","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -505997160*h**3 + h**2 - 38602813?\nAnswer: -3035982960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -9*j + 203 - 223 + j. List the prime factors of v(-16).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 44 + 28 = 0. Suppose 8*z + d = 2. Let v = 522\/5 - 104. What is the third biggest value in v, 5, z, -0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hrrhmrumurwhauurrhuh. Give prob of sequence whra.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 11*z**2 + 55*z + 2. Calculate m(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*m + m + 2*m)*(3096 + 906 - 2131) as v + d*m and give d.\nAnswer: -3742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2 - 19*j. Let t(r) = 2*r**2 - 2*r + 2. Let h(n) = n**2 - 2*n + 2. Let s(g) = -2*h(g) + 2*t(g). What is l(s(u))?\nAnswer: -8*u**4 - 38*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l + 8*l**2 + 8*l**2 - l**2 + 3*l**2.\nAnswer: 18*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**5\/2 - 9*g**4\/2 - 6*g**3.\nAnswer: 3*g**3*(g - 4)*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69.6 + -76. Let i = l + 6. What is the closest to 1 in -3, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x - 11 - 3 - 1. Let j be g(10). What is the remainder when 101 is divided by (52\/10)\/(7\/j)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 + 28. Let p = -113 - -109. Let b(y) = -3*y**2 + 9*y - 3. Let f(v) = v**2 - v - 1. Let l(k) = p*f(k) - b(k). What is l(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3776 - 56593\/15. What is the common denominator of k and 13\/291?\nAnswer: 1455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 2*m = m - 3, 3*z = 2*m - 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 598760 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*k**5 + 24232*k**4 + 226132*k**3 + 182896*k**2 - 30512*k - 11648 = 0.\nAnswer: -8, -1, -1\/5, 2\/7, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -167 + 170. Let j be 41\/(-328) + (-105)\/(-8) - c. Solve -4*o + 6 + j = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129555302 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1*2)\/((-1)\/(-2)). Suppose -66 = -s*t - 14. Let v be (3 - 0)\/((-3)\/(-2)). Solve 0 = v*p + 4*l + l + 11, -t = -2*p + 3*l for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -347363 + 6032?\nAnswer: -341331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5*w + 49. Let n be (-2)\/8 - 350\/8. Calculate the remainder when (-1359)\/(-33) + 8\/n is divided by x(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327878189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is 30637303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15022)\/1750063 - 191\/4893?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40 - -45. Suppose f = -d - d + 5, -17 = -4*f - b*d. Let p(u) = -u - 2. Calculate p(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3128059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -4*t**3\/3 + 44*t**2 - 468*t + 880. What is v in m(v) = 0?\nAnswer: 9, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - d**2 + d + 1. Let f(z) = 3*z**3 - z**2 + 6*z - 3*z**2 - z**2 - z**2 + 16. Let y(r) = -f(r) + 6*i(r). Find the first derivative of y(b) wrt b.\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6739692 is divided by 503?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 518, 700, 884, 1070, 1258?\n\"Answer: n**2 + 179*n + 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -139237, -139238, -139239, -139240?\n\"Answer: -a - 139236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v + 114. Let i be a(-27). Solve 2*h - y + 1 = i*h, -5*y + 5 = 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -112022559*h**2*j**2*r**3 + h**2*r**3 - 3*h*j*r - 35571345*j**2*r**3 - 3*j**2 wrt h.\nAnswer: -224045118*j**2*r**3 + 2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*m - 35*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10626 + 30562. Suppose -3*o = 2*s + k, 0 = -s + 3*o + 2*o - 20620. What is s rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1125 - 1122. Factor -4\/9 + 11\/9*g**2 - 1\/3*g**b - 8\/9*g.\nAnswer: -(g - 2)**2*(3*g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -503160, -503148, -503136, -503124?\nAnswer: -503112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of v**6\/90 + v**5\/30 - v**3\/3 - 4*v**2. Let j(c) be the first derivative of n(c). What is the second derivative of j(f) wrt f?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54810 (base 10) in base 3?\nAnswer: -2210012000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*a**6*k - 109*a**6 - 98*a**2 + 10*k wrt a?\nAnswer: 960*a**3*k - 13080*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -36*h + 57 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.6, -2\/23, 4, -110, -2\/7, -13.4?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l + 2*l**2 + 2*l + 3*l**3 - l**4 - 8 - 2 - 2 - 5*l**3 to the form a*l + k + y*l**2 + z*l**4 + p*l**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1059*x - 30379 = 50043 - 4174 for x.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - w - 1. Suppose -3*d - 5 = -23. Let s(n) be the third derivative of 1\/4*n**4 + n**2 + 0*n + n**3 + 0 + 7\/60*n**5. Determine d*v(l) + s(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s. Let u(l) be the second derivative of l**4\/4 + 8*l. Calculate o(u(w)).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4746 = -14*w - 70. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 48 = -3*n - 0*n, 5*w = 0. Let g be (-7)\/((-140)\/n)*-20. Suppose p = g + 26. What is the highest common divisor of p and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -36370 equal to -36351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and -12877202876820.\nAnswer: -12877202876825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/40547 and 36.\nAnswer: 40547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3)*b**(-27)*(b*b**(3\/2))\/(b*b**(-23\/5)*b*b) assuming b is positive.\nAnswer: b**(-259\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2.84 (b) 1\/7 (c) -2 (d) -1\/45 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + z = -3*z + 12, 4*z = -3*i + 32. Suppose 5*f + 92 = 7*f - i*v, 0 = -4*f - 4*v + 148. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 + 2*s**3 + 0*s**3)*(6 + 0 - 5)*(1 - 1 + 1).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*c - 12651 = 18 + 1686 for c.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 2. Suppose 6*m = 2*m. Suppose -b = -r - 1, m*r - 3*r = 4*b - 4. Let n be a(r). Solve 3*k - l = 2 + 5, -2*k = -2*l + n for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**4 + 29*h**3 + 40*h**2 + 33*h - 5. Let b(d) = 3*d**4 + 28*d**3 + 44*d**2 + 36*d - 4. Let w(a) = 5*b(a) - 4*o(a). Factor w(q).\nAnswer: 3*q*(q + 2)**2*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -327 - -332. Solve 3*z = s*f - 4, -2 - 2 = f + z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 14. Suppose 3*t - y - 6 = y, -t = 2*y - h. Suppose 2*b = -0*b + t. Solve 0 = -c + b*d - 14 + 5, 4*c + 4*d = -12 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6067733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 455072 and 128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37687.\nAnswer: 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1145*g + 2719*g - 2719 = 1394*g + 3221 for g.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19632 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 72*a**2 + 218*a - 486. What are the prime factors of r(69)?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199016 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 302*m**2 - 4*m + 3 wrt m.\nAnswer: 604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 4*m + 72, 4*k + m - 74 = -k. Calculate the least common multiple of k and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5 - 250*n + 2 + 251*n + 3. Let a(u) = 3*u. Let r(v) = -v. Let l(z) = 6*a(z) + 21*r(z). What is l(b(t))?\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1488.939454 rounded to 1 dp?\nAnswer: -1488.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -32\nAnswer: 9\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -5 - 3645\/18*-216?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/4522 and -40\/57?\nAnswer: 13566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -454.6 - -441. Which is bigger: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*g*u + 4*g - 77*u**2 + 65*u + 64936 with respect to u.\nAnswer: -8*g - 154*u + 65","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -u - 0*u + 1, -2 = -4*s - 2*u. What are the prime factors of (s + -2)*184\/(-16)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 2*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 175435216 to the power of 1\/2, to the nearest integer?\nAnswer: 13245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0345852 years in decades?\nAnswer: 0.00345852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pbwp when four letters picked without replacement from {b: 3, p: 7, w: 2}.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212*z - 449*z + 235*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04101 rounded to 3 dps?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 7*c**2 + c - 43. What is the tens digit of o(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -279*m + 6787. What is the hundreds digit of w(-81)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)\/(sqrt(16)\/sqrt(2)) + -5 - (-2*sqrt(11)*5 + -6*sqrt(11)*-1)) + 1)**2.\nAnswer: -40*sqrt(11) + 291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*h + k + 17, 0 = -2*h - 4*k + 2. Suppose a - 5*b = 25, h*b - 33 = -4*a + 90. Is a a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 13*n**3 - 4*n**2 + 3*n - 5. Is 25 a factor of u(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7146079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000082356 rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 10) in base 7?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -31873.35936 rounded to the nearest 10?\nAnswer: -31870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 52271603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -a**7\/840 - 5*a**4\/24 - 4*a**3\/3 + 4. Let t(l) be the third derivative of o(l). What is the derivative of t(h) wrt h?\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*x - 40 = -u, 2*x + 5 = u. Let c = 15 - u. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7716 divided by -3?\nAnswer: -2572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.29048518 to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9665 - 9649. Calculate the greatest common factor of 11 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 275752 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**4 + 0*u**4 - 3*u**4)*(-1 + 2*u + 1)*(-4 + 5 + 6).\nAnswer: -14*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/162864 and -69\/130.\nAnswer: 814320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -21*d - 7. Let f be v(7). Find the common denominator of (-2 - 1) + (-266)\/35 and f\/(-20) + 0\/(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-58 - 22*i + 58)*(1 - 2*i - 1) to f*i + m + j*i**2 and give j.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 3*l - 17200000. Let p be n(0). Round p to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186549?\nAnswer: 3, 11, 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3054.1 + 3052.8. What is the nearest to -2 in 3, 0.4, -0.3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**3 + 20*n**2 - 7*n - 3. Let m be 103\/(-15)*1 + -11 + 489\/45. Determine d(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 4*v**6\/3 + 11*v**3\/3 + 4. Find the third derivative of x(s) wrt s.\nAnswer: 480*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55672*f - 5*i = -55669*f + 64, 4*i + 12 = -f for f.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 350*d + 47. Is w(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*b = -125. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1262 is divided by 829?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 0, -258, 5\/6 in decreasing order.\nAnswer: 5\/6, 0, -18, -258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 9*w - 253. What is r(29)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 - 11101?\nAnswer: -11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32.5 + 32. Which is the second smallest value? (a) h (b) 0.3 (c) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 20490 = 2*j, 53*a - 58*a + 20430 = 2*j. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13340.\nAnswer: 2, 5, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70918, -70919, -70918, -70915?\nAnswer: -70910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-42)\/8)\/(6\/(-48)). Let v = f - 22. Suppose 2*b - 4 = 3*b, 5*b + v = -4*u. Is -2\/11 <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*a**2*b**2*j**3 - 3*a**2*b**2*j**2 - 2*a**2*b*j - 3*a**2*j**3 - 8*b**2*j**2 wrt j.\nAnswer: -102*a**2*b**2 - 18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/812 and 69\/812.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5738, -8409, -11082, -13757?\nAnswer: -16434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 2*a**2 - 4*a - 12. Let i be r(-3). Calculate the greatest common factor of i and 495.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.1, 0.49, 2, 2\/41?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, g: 2, m: 1, z: 1}. Give prob of picking 1 g and 1 x.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24\/11, 0.1, 0.2, -1\/8, -5 in decreasing order.\nAnswer: 24\/11, 0.2, 0.1, -1\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbgzczb. What is prob of sequence bb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 9*s**2 - 11*s - 13. Calculate j(10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -399*m + 21822. Determine x(55).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2731, 2729, 2727, 2725?\nAnswer: 2723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -532, -22, 513 in increasing order.\nAnswer: -532, -22, 4, 513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -19*d + 39. Solve r + 1 = 0, -3*c + d*r + 3 = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 225422898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -37, -21, -7, 5, 15, 23, 29?\n\"Answer: -q**2 + 19*q - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c**2 + 1561*c. Let u(j) = 3*j. What is u(y(p))?\nAnswer: -12*p**2 + 4683*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000143583 to six dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 45 = -2*m + b, -5*m + 4*b + 70 = 0. Suppose 4*f = m - 2. Suppose -3*h = f*h + 25, l - 5*h = 720025. Round l to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -r**6\/48 - 5*r**5\/24 - 35*r**4\/48 - 5*r**3\/4 + 3*r**2. Factor j(h).\nAnswer: -5*(h + 1)**2*(h + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 - -28. Let b = -23 - r. Let x = 1038 + -29061\/28. Is x at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 12*m - 352. Let q = -41 + m. Solve 0 = -n - q - 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 672 is divided by 42?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a**3 - 11*a**2 + 2*a + 25. Let v(y) = -2*y**3 - 5*y**2 + y + 12. Let f(z) = -718*z + 5731. Let t be f(8). What is t*v(p) + 6*m(p)?\nAnswer: 2*p**3 - p**2 - p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 16*k**2 + 12*k + 11. Let y(j) = 8*j**2 + 6*j + 6. Let c(z) = 2*g(z) - 5*y(z). Let d(h) = -7*h**2 - 5*h - 7. Determine 5*c(a) - 6*d(a).\nAnswer: 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4*j + 955 - 1893 + 953. Let c(t) = -10*t + 11. Let x(o) = -o + 1. Let r(z) = 2*c(z) - 22*x(z). Determine q(r(i)).\nAnswer: -8*i + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**5\/5 - 9736*u**4\/5 + 8018912*u**3\/5 - 365439360*u**2 = 0. What is u?\nAnswer: 0, 484, 3900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72231 is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.316 plus 0.4328260157?\nAnswer: 2.7488260157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 30084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -7*d**3 - d**2 - 3*d - 18. Let s(m) = 8*m**3 + m**2 + 4*m + 20. Give -5*s(g) - 6*y(g).\nAnswer: 2*g**3 + g**2 - 2*g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16767*o = 16789*o + 792 for o.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 10*o + 4. Let y be p(10). Suppose 3*d = 4*q - 39, -1 = q - y*d - 14. Let x be 2\/6 - (3\/q)\/1. Solve 2*h + 2 = -x for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 981242.751?\nAnswer: 981244.751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 734 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 149678.14 and 5?\nAnswer: 748390.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d + 1. Let w = -20 - -37. What is the remainder when w is divided by j(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/5, 1.9, 2\/3, 217467, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -19\/7, -4, 2\/9, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 8) in base 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 641772*c**2*f*t**3 - 10*c**2*f*t**2 + c**2*f + 8*c*f*t**3 - 186458*c*f*t**2 + 2*c*t**2 wrt t.\nAnswer: 3850632*c**2*f + 48*c*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 3*w - 58. What is the remainder when 140 is divided by w?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 132.3 + -132. What is the nearest to c in -5, -0.4, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 3) in base 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - t**2 - t - 1. Let f be q(2). Let h be (-1 + 3 + -2)*f. Solve -4 = 2*y - h*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/4, 5, 0.1, -3, -24450?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*t + 3*b + 1, -b - 7 = 3*t. Let y be 2*(-7 + (-26)\/(-4)). Put 4, y, t in descending order.\nAnswer: 4, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36875472*t**2 - 39*t - 99499 wrt t.\nAnswer: 73750944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 92 and 2?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 is divided by (-4)\/14 - 27\/(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 28 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/6 + (-138)\/4. Let v(y) = 6*y + 29. Let m(a) = -a - 5. Let d(o) = u*m(o) - 6*v(o). Differentiate d(l) wrt l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9712 - -47889. What is the ten thousands digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00230333937 to 6 decimal places.\nAnswer: -0.002303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 2*n**2 - 13*n - 11. Let x be w(-6). Suppose 7*l - x = 6*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*g - 25*g - 13. Calculate the highest common divisor of 13 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 103*z**2 - 8. Let k(g) = 34*g**2 - 3. Give 8*k(b) - 3*q(b).\nAnswer: -37*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-24)\/15)\/(10\/(-25)). Let l(z) = -5*z**2 + z**2 + 2*z**2 - n*z**2. Let g(c) = 2*c. Give g(l(p)).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 27. Let u be n(0). Let v = 24 - u. Is 13\/(v + (-70)\/(-23)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 22 = -u - 3*h, 0 = -5*u - 2*h - 41. Let b(r) = 8 + 0*r**2 - r**2 + 0*r + 1 + 3*r**2 - 2*r. Is b(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23649.73939 rounded to the nearest one hundred?\nAnswer: 23600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 222 divided by 6.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -14540 divided by -3635\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/50)\/1)\/((-79)\/790)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - (1 + (-2 - 11) + -9 - -7)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5615076 divided by -2807538\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*g + 188 + 197 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58793?\nAnswer: 7, 37, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000100 + -10111?\nAnswer: 10101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -6615435\/28 bigger than -236267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.03 (b) 23 (c) 1\/3 (d) -10 (e) -0.8 (f) 0 (g) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4241\/18354 + (-108)\/1242 and 67\/969.\nAnswer: 13566","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/18213 and 49\/8406.\nAnswer: 109278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 210*n**3 - 250*n wrt n?\nAnswer: 1260*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 37*p**3 - 29*p**2 + 11. Let w(v) = -19*v**3 + 14*v**2 - 6. Let g(y) = 6*b(y) + 11*w(y). What is the third derivative of g(t) wrt t?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1387228 and 96?\nAnswer: 33293472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -3 (b) 4 (c) -0.2 (d) -76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72 - 50. Let b be l\/4 + (-1)\/(-2). Suppose 0 = x - 3 - b. What is the lowest common multiple of 11 and x?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*((2*sqrt(153))**2*-5 + (sqrt(153) + (sqrt(153) - (sqrt(153) + 1*sqrt(153))**2))*-5).\nAnswer: -360*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + b = -o - 12, 8*o = -25*o + 37*o + 20*b + 312 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/26)\/o)\/(o\/o**32))\/(o*o**(-8))**(-18) assuming o is positive.\nAnswer: o**(-2495\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23982824.\nAnswer: 2, 2997853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2556 divided by -535.\nAnswer: -2556\/535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(288) + -1)**2.\nAnswer: -24*sqrt(2) + 286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23 and 23498.\nAnswer: -540454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/4)\/(4\/(-16)). Let x be (a\/4)\/((-12)\/(-16)). Find the third derivative of -3*v**2 + 6*v**x + 2*v**3 - 4*v**3 + 4*v**3 wrt v.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**2 + 3*b + 20. Let d be o(-7). Let l be 319\/d + (2 - -1). What is the second biggest value in -3, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 86*x + 566. Calculate n(-79).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56776375 a multiple of 2160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 302030233 + -100?\nAnswer: 302030133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23231 (base 5) to base 7.\nAnswer: 4634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*7*(-22)\/231?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*i, -4*r = -i - 0*i. Let p be 24\/2 - r\/3. Calculate the greatest common divisor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12977000 rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 + -36. Suppose z*c = -3*r + 95, 4*c + 29 = r + 7*c. Let t = 19 + r. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -2\/3, -0.07, 753.7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003532 to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 256 and 6338.\nAnswer: 811264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 24*s - 2*s - 130. Solve s = 5*g - 3*y + 16, -7 = -2*g + 5*y for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/126 and 67\/3975.\nAnswer: 166950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 2*j. Let g(l) be the first derivative of l**3 + 7*l**2\/2 + 140. Calculate -4*g(u) + 14*s(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -531, -1077, -1627, -2181, -2739, -3301?\nAnswer: -3867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.933 * 6.84.\nAnswer: -20.06172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 15.35. Let k = -0.05 - u. What is the second smallest value in k, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6 = 5*p, 5*p = -3*v + 9*p - 37. Which is the nearest to 2\/7? (a) -8 (b) v (c) -2 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -14. Suppose -3*s = s - n. Suppose 2*p - s*p + 100 = 0. Calculate the greatest common divisor of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**2\/5 + 18321*s + 91608\/5 = 0. What is s?\nAnswer: -1, 30536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -2079\/403331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*r - 10958 + 20*r - 54*r + 24*r to x*r + o and give o.\nAnswer: -10958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 18 - 3 - 8*f - 11 + f**2. What is n(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 2535?\nAnswer: 2535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 20*f**3 + 6*f**2 - 15*f + 20. Let c be p(13). Suppose -15279 + c = 5*o. Round o to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 2:16 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*x, 0 = -0*x + 3*x. List the prime factors of -8 + 4 + o - -142.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 623*v - v**2 - 623*v + 0*v**2. Let l(d) = 6*d**2. What is l(h(t))?\nAnswer: 6*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -32.5, -2\/7, 2\/13 in decreasing order.\nAnswer: 8, 2\/13, -2\/7, -32.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -9\/340199 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -26*x. Let z(t) = 1011 - 1008 - 2*t + t + 4*t. Let r(k) = k**2 - 2*k - 2. Let g(j) = 3*r(j) + 2*z(j). Give c(g(y)).\nAnswer: -78*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**3 + 4*b**3 + 4 + 3*b**3.\nAnswer: 5*b**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhva when four letters picked without replacement from {c: 1, v: 4, h: 10, a: 4}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 481.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 2*r - 16 + 4, 6*r = 4*d + 36. Solve d = 10*g - 9*g - 3*q - 5, g - 5 = -q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pddddfpdpmpddddddfmd. Give prob of picking 2 p and 1 f.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.2, 2, -5, -7\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 660486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -403225*l**3\/4 - 1905*l**2 - 9*l.\nAnswer: -l*(635*l + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 104827621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 32, -5 in ascending order.\nAnswer: -6, -5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**2\/4 + 120123*n\/4 = 0.\nAnswer: 0, 40041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.211 + 0.361. Put y, -5, -3 in decreasing order.\nAnswer: y, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*d = 299, -320 - 74 = 4*h - 2*d. Let p = h + 123. Calculate the remainder when p is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 4*w - 6, -49*n + 47*n = -3*w + 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 - 1068cd9?\nAnswer: -1068ce9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/14)\/(34\/(-24) + (-17)\/(-102)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 64. Let h = j - 54. Suppose 4*q = -4*y + 400, -3*q - 2 = -3*y + 268. What is the remainder when y is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*o - 117*o + 60*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*b = 1632 - 885 + 1618 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11744348 to the nearest integer?\nAnswer: 3427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1020333 (base 4) to base 8\nAnswer: -11077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -109 + 549. Suppose -220 = -10*o + v. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - (-3 + 1))\/(-1). Is -3 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4*t - 10 = 0, t = 6*p - p + 9. Calculate the remainder when 19 is divided by -10*(p - (-6)\/4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 29*l - 33*l. What is the remainder when 21 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3363 - 16.3307. Let y = -31 - -15. Let q = y - n. Round q to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 + -64. What is the third smallest value in 0.27, g, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12433, -24932, -37431?\n\"Answer: -12499*o + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 - 26 = 4*q + 3*o, q - 4*o - 1 = 0. Let k(g) = g**2 - 3*g + 1. Is k(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1395956296 divided by -56?\nAnswer: -24927791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*t + y + 222867 = -23*t, y + 178293 = 4*t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 26799017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 650611.5nm to kilometers.\nAnswer: 0.0000006506115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -15*v**2. Let i(p) = -272329*p. Calculate a(i(m)).\nAnswer: -1112446263615*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 1:08 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1517579 + -891723. Suppose -b + q = f, -4*b + 8*b - 3*q + 2503426 = 0. Let o = 2225858 + b. Round o to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 294 = v. Calculate the highest common factor of 1596 and v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*b**5 + 16*b**4 - 564*b**3 - 200*b**2 + 976*b + 672 = 0. What is b?\nAnswer: -42\/19, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 - 831\/(-9))\/((-35)\/(-42)). Sort -8, h, -4 in decreasing order.\nAnswer: h, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4 = -0*t. Suppose -4*g - 6 - t = 0. Let c(w) = w**3 + 2*w**2 - 1. Calculate c(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 11*n. Let p(z) be the third derivative of -3*z**4\/8 + 145*z**2 + 2*z. What is u(p(q))?\nAnswer: -99*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*f + 12 = 40*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 15462\/14789?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, e: 3, n: 1, o: 2}. Give prob of picking 2 e and 2 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30302 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 627?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17280 a multiple of 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*1 + -4)**2*-6.\nAnswer: -1176 + 288*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) - (0 + sqrt(147) + sqrt(147)))**2*-2.\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -435 times -0.2\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 2*o + 3*i + 21, -5*o - 3*i = 31. Let p = o - -10. Solve k = -p*u - 10, 3*u + 10 = -2*u + k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 374343486*b**2. Let r(q) = 2*q. Give r(s(y)).\nAnswer: 748686972*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 16033 (base 9) to base 11\nAnswer: 8269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 73049.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28545447*a**3 - 74*a + 40744?\nAnswer: -171272682*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m - 9. Let s(f) = -1. Let c(k) = -h(k) + 6*s(k). Let l be (-111)\/(-39) + (-8)\/(-52). Does 6 divide c(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 8:31 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 5.3. Let u = 0.4 + i. Let g be -1 + (-2)\/(-20)*-1*-8. Which is the third biggest value? (a) 4 (b) u (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-4)\/s)\/(s*s**(-1\/27)))**(-6))**(-1) assuming s is positive.\nAnswer: s**(-322\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -124*d - 991. Let s be k(-8). Solve 4*b - 2*l - 4 = 0, -5*b - s = -4*l - 0*l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1901*r = -341*r + 29640 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 4*l = -14 - 6, -5*l = -4*u + 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of l**7\/14 - l**4\/3 + l + 2. Let b(w) be the first derivative of y(w). Find the third derivative of b(t) wrt t.\nAnswer: 180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 9 = 3*w, 5*w + 2*o = 6*o - 15. Let j be 0\/((3 + -5)\/(-1)). Suppose x = -j*x - 4. Does x = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -290 + 777. What are the prime factors of f?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/(-12))\/(2\/(-9)). Let u = k + -4. Is 10 a factor of (u + 0)*(-100)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - 12*q - 63 = 0. Suppose -5*s - 37 = -142. Calculate the greatest common divisor of q and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200248308 a multiple of 579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 1489 = 17. Calculate the highest common factor of b and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2) + 21\/6. Suppose 5 = i + g*w - 4, 0 = -5*i + 2*w - 6. Suppose h = -i*h + 1. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.913 - -2.9152587. Round p to 5 decimal places.\nAnswer: 0.00226","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**3\/3 + 2525654*v**2\/3 + 25256762*v\/3 - 27782414\/3 = 0.\nAnswer: -11, 1, 1262837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.136 (b) -295 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/60)\/(((-4)\/(-7))\/(79980\/(-3010))).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 289230263 to the nearest integer?\nAnswer: 17007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r + r + r - 3)*(-r + 2*r + 2*r) in the form w + f*r**2 + u*r and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 - 8053855*b**2 + 3243224991120*b + 3243233044980.\nAnswer: 5*(b - 805386)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, f: 2, a: 1, s: 1, t: 1, v: 3}. What is prob of sequence fs?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41079667 is divided by 998?\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2862761*k**3 - 3*k**2 - 2*k - 1051124.\nAnswer: 17176566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 18. Let k = 2 - c. Let f be 1\/3 - (-14)\/(-6). Put k, f, 4 in decreasing order.\nAnswer: 4, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110 and 5632.\nAnswer: 28160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.3 - -5.7. Let v = k - 18.99999982. Round v to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b - 6*b - 9*b**3 + 8*b + b**2.\nAnswer: -9*b**3 + b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(2299) - (-2 + (sqrt(2299) + 1 - sqrt(2299))))**2)*-5.\nAnswer: -11485 - 110*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/96)\/(9\/18)*(-6)\/9?\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 2*n + 32, 4*t - 16 = -0*n + 4*n. Suppose 4*m = 12 + t. Let b be 3 - (2 + (-3)\/(-15)). What is the second smallest value in m, b, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 6.945613 decades?\nAnswer: 0.06945613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7030 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 733303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**8\/1176 + z**7\/735 + z**6\/140 - z**5\/210 - z**4\/42 - 29*z**2. Let y(l) = 0. Calculate l.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3346421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120520 + 142453 = -5433*q - 586563 for q.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 225\/1753 or -1?\nAnswer: 225\/1753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 1\/90 (b) -1\/4 (c) 0.5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -2*l + 2910. Suppose -3*c = 4*p - l, -36 = -c + 5*p + 132. What are the prime factors of c?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183927319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 165 = -3*t. Suppose -3*g + 3 = 2*n - 13, 4*g = 4*n + t. What is the remainder when g is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -277.1038017 to the nearest ten.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + (3 + sqrt(13) + 3 - (sqrt(13) - (1 + sqrt(13)))*5))**2.\nAnswer: 16*sqrt(13) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7471 - 1525?\nAnswer: 5f4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 847108?\nAnswer: 847108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7782 is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 4:28 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c**3 - 6*c**2 + 151*c + 83. Determine k(0).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2020340 and 38097840?\nAnswer: 266684880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (106\/(-3) - (-6)\/3)*1743\/(-1162).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -259 - -271. Solve -7*t - o = -4*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + 29. What is the remainder when 116 is divided by w?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 609068.9 minutes to milliseconds.\nAnswer: 36544134000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 987*i**3 + 198*i**2 + 661599 with respect to i.\nAnswer: 2961*i**2 + 396*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (1 + 0 - (-2 - -5)) + 24 + -27\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -16*b**3 - 57*b**2 - 71*b - 9. What is u(-4)?\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 41?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*j + 2. Suppose -567 - 105 = -19*z - 23*z. Solve -s = 4*k + 11, j*s = -2*k + k + z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 32.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 719565 and 6853?\nAnswer: 719565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35686, -4, 14 in decreasing order.\nAnswer: 35686, 14, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -d + 2*z + 13, -4*z + 67 = 5*d. Suppose l - 5*y - 14 = d, -123 = -5*l + 3*y. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 - -35.5. Let t = n + -2.5. Is t > -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 205 and 15615629?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 3*y**2 + y + 5. Suppose 224 = 4*j + 4*n, 288 = 2*j + 6*n + 180. Calculate the remainder when j is divided by b(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -390.000399 to 2 decimal places.\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 - 2*g**2 + 6*g**2)*(g**2 + 4*g - 4*g) + (33*g**4 + 36*g**4 + 51*g**4)*(0 - 4 + 1) + (1 - 1 - 2*g**2)*(g**2 + 0*g**2 + g**2).\nAnswer: -362*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i**3 - 14*i**2 + 40*i - 1. Let m(v) = 4*v**3 - 14*v**2 + 25*v - 2. Let d(z) = 6*m(z) - 5*u(z). What is d(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*k**3*n**2 + k**3*n + 750*k**2 + k*n - 4135*n**3 + 4*n wrt n.\nAnswer: 6*k**3 - 24810*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 18 = -5*g, -17 = 2*g - 6*g + 5*m for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127508634 is divided by 219087.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 476 - 449 = 9*g, g = -5*u - 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 3*n**2\/2 - 2. Let y(a) = -3*a**2 - 4*a. Let m(p) = -p**2 + 0*p - p + 0*p**2. Let l(b) = -4*m(b) + y(b). Give i(l(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y + 2*y**2 + 3*y + 5*y + (0*y**2 + y**2 + 0*y**2)*(-2 + 5 - 4).\nAnswer: y**2 + 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*b - 54. Let z = 39 - 35. Let j(h) = -h**3 + 6*h**2 - 6*h + 6. What is the remainder when b is divided by j(z)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**3 - 2*o**3 + 3*o**3 + (-1 - 3*o + 1)*(2*o**2 + o**2 - 2*o**2)*(-2 - 4 + 4)*(-2 - 6 + 1).\nAnswer: -44*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -297*q + 63. Let m be w(2). Let l = 5631034501\/10657075 + -2\/819775. Let a = l + m. What is the common denominator of a and -27\/4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -41543222 and -4?\nAnswer: 41543218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 64.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*2*2 - sqrt(77) - (sqrt(77) - (sqrt(77) - (sqrt(77) - (sqrt(77)*1*5 - sqrt(77) - sqrt(77))))))\/((3*sqrt(165)\/sqrt(3))\/sqrt(5)*3))**2.\nAnswer: 175\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 + -1325. Is (3\/12)\/((-4)\/h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16660130 (base 7) to base 8.\nAnswer: 6214323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 700\/140*((-2448)\/(-85))\/(-9)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 85 - 79. Let a be (-3 - 16)*j\/2. Let n = a - -59. Solve -n*g = -1 - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -3 (c) -0.3 (d) 0.92 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 6*z + 2. Let t(b) = -13*b - 4. Let o(l) = -4*p(l) - 2*t(l). Let v(w) = -69*w**2. Give v(o(r)).\nAnswer: -276*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 264 - 266. Sort g, 50, -3 in descending order.\nAnswer: 50, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.7574174 grams?\nAnswer: 0.0000007574174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -410 + 243. Let v = 165 + n. Let a(j) = -51*j**2 - 21*j - 21. Let m(q) = -5*q**2 - 2*q - 2. Determine v*a(h) + 21*m(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 b when three letters picked without replacement from obooooooooooooooooo.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1332 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.25 and -0.061357.\nAnswer: -0.01533925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/168 and 137\/72108.\nAnswer: 1009512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 2:33 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -512*k - 4386*k - 214*k + (4 - 2 - 4)*((3*k + 0*k - 5*k)*(1 + 0 - 2) + 2*k + 4*k - 4*k + k - k + k) to the form i + t*k and give t.\nAnswer: -5122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*p**3 - 25*p**3 - 1 - 24*p**3 to the form x*p**2 + r*p + m + d*p**3 and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 2*o**4 + 296*o - o**3 - 144*o - 2*o**2 - 151*o + 0*o**3 to m*o + k*o**3 + x*o**2 + r + v*o**4 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from khvwk. Give prob of sequence whk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -5*k - 4*f, 17*k - 4*f = 18*k - 13. Suppose 148 + 14 = k*p. Which is the closest to 2? (a) p (b) 0.2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bubpgouw. Give prob of picking 1 o, 1 b, and 1 g.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7 + 4 + 28*t - 168*t - 17 - 3. Let l(z) = 35*z + 2. Determine 9*l(i) + 2*r(i).\nAnswer: 35*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3371135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 92369.86ml in litres?\nAnswer: 92.36986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97267, 97267, 97277, 97303, 97351, 97427?\nAnswer: 97537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c. Let n(w) = -478*w**2 - 274. What is a(n(i))?\nAnswer: -2390*i**2 - 1370","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, -50, -156, -314, -542, -858, -1280?\nAnswer: -1826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 12:25 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 9. Let i be 3 + u - (0 + 2). Is 443 - (-5 + 1 + i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10021 (base 5) to base 14.\nAnswer: -336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60174995\/218289 + -2\/72763. Let a = -273 - n. Which is smaller: a or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105256 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: Rearrange (o**2 - 4*o**2 + 0*o**2)*(-2*o - 26 + 83 - 40) to p + y*o**2 + r*o + w*o**3 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/9*(-10)\/15. Let m = 2.7 - 1.6. Let o = m + -1. What is the closest to -1 in -1\/11, h, o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -9*p - 12. Let i(k) = -4*k - 6. Let t(h) = 5*i(h) - 2*m(h). Suppose 7*w = 4*w - 18. Is t(w) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1260695, 1260704, 1260717, 1260734?\n\"Answer: 2*k**2 + 3*k + 1260690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -2. Let y = h + -5. Let p = 1 - y. Which is the nearest to p? (a) -1 (b) -4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1690853 or 1690872?\nAnswer: 1690853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1157 at least as big as -1156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 234646935 + 0.1099\nAnswer: 234646935.1099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*q + 6 = -34, -q = 5*u - 105. Let k be ((-5)\/((-5)\/(-6)))\/2 + -185. Let a = 192 + k. Calculate the greatest common divisor of a and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -5*p + 5, -174*h + 29 = -173*h + 5*p. Solve 5*c + 21 = -h*k, -c + 7 = 4*k - 6*k for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 6:15 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (((-35)\/2)\/(-5))\/((-17)\/(-34)). Suppose 0 = u - b + 7. Which is smaller: u or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 3*z = 4*f - 62, -2*z + 46 = 5*f. Suppose 3*y + i + z = 2*i, 3*i + 24 = -4*y. Let r be 3\/(-2) - (-3)\/y. Are 0 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 12*l + 6. Calculate i(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15691?\nAnswer: 13, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 7451*j - 3881969. Calculate w(521).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p - 14*p + 19 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 7:54 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 13859424.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.78015 centuries to decades.\nAnswer: 37.8015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -17. Let d(h) be the first derivative of 0*h + 1\/4*h**2 + 1\/2*h**3 + 3\/8*h**4 - 2 + 1\/10*h**t. Determine a so that d(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-9) + 56\/9. Let k(a) = 7*a + 1. Let p(f) = -41*f - 12. Let y(o) = 6*k(o) + p(o). Give y(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 767 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -27 * 2\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -8*i - 82. Let v be r(-10). Let m be (-1)\/(v + 5 + -2) + 4. Let g = m - 5. Put 27, -0.5, g in descending order.\nAnswer: 27, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(20) + 5)**2 + 5.\nAnswer: 30*sqrt(5) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -8. Suppose -2*n = -3*n + h. Factor 7*u**4 + 0*u**4 - n*u**4 + u**5.\nAnswer: u**4*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2363387*l. Let i(y) = 4*y**2. Calculate o(i(z)).\nAnswer: -9453548*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*b - 2 + 21 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 16*q**2 + 0 + 18*q**2 + 2)*(-q + 2*q + 0*q).\nAnswer: 2*q**3 + q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*55535947.\nAnswer: 5553594.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11042927, -11042930, -11042933?\n\"Answer: -3*v - 11042924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s**2. Let o(d) be the first derivative of -d**3\/3 + 3. Give o(r(t)).\nAnswer: -16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4241 = -4*m, 12*a = 15*a - m - 12762. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-1 + 1 + (sqrt(320)*2 - sqrt(320)) + sqrt(320) - (sqrt(320) + 0 + sqrt(320) + 0 + 0)) + -1 + 5)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16420747*q - 2340766.\nAnswer: -16420747","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 45 = -5*z, 9*z = 4*z + p + 45. Suppose -z*m = -5*m + 6420. Is (-12)\/(-18)*m\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 885, 930, 975, 1020, 1065, 1110?\nAnswer: 1155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -17*m + 207. Let i be l(12). Sort 4, -108, i, -5 in decreasing order.\nAnswer: 4, i, -5, -108","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - m + 24. Let y(f) = -f**3 + 5*f**2 - 5*f + 4. Let z be y(4). Calculate the remainder when (-95)\/(-3)*1*3 is divided by q(z).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -6 - (1 + -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = 5*p - 1642. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360*b = 93*b - 94*b - 2154 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (518\/(-28) - -20)\/(-2 - 0). Which is smaller: y or -4\/27?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000 - -100001011001?\nAnswer: 100001101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/95 - -36\/95. What is the nearest to o in 3, 4, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 5:45 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/11 (b) 1 (c) -179.6 (d) -128\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1286984 at most as big as -489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 5*w**2 + 7*w + 7. Give t(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(1\/(-8)))\/(16\/(-24)). Let y = t - -3. Suppose 2*i - 8 = s - 0*i, -5*i = -5*s - y. Solve -u + 0*u = s for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -8 - -12) + -16 - 22\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2293, -4478, -6663?\nAnswer: -8848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/3*104\/(-390)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q**2 - 4 - 7*q**2 - 9*q**3 + 6 + 10*q**3 + 11*q. Let g be b(11). Solve -2*d - 6 - 12 = g*h, d = 3*h + 7 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.2 + 3.2. Which is the smallest value? (a) 3\/4 (b) -6 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1857.2433 months?\nAnswer: 0.154770275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 8130.7 (b) 1\/2 (c) -0.09 (d) -0.3 (e) 3 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52.54 + 695.06. Round c to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-10))\/((-6)\/(-10)). Let k = 47 + -49. Let l = -26 - -22. What is the nearest to i in k, l, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-1 + 2)) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -y + 55, -4*v + 20 = -3*y - y. Let z be 5\/10 + v\/4. Solve 0*q + z*q - 25 = -4*k, -2*q + 22 = 4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9076534 to the power of 1\/2, to the nearest integer?\nAnswer: 3013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.08 + -35.92. Let n = k - -25. Let y = n + 10.7. Which is smaller: 0.3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(260)\/(-1*sqrt(10))*1)\/(sqrt(144)\/sqrt(8) - sqrt(2) - sqrt(108)\/sqrt(6)))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13162449 to the power of 1\/2, to the nearest integer?\nAnswer: 3628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00122151359 to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26.3 + 26.42. Let z = -4.44 - -2.44. Which is the third biggest value? (a) 1 (b) z (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -10. Let y be w\/((-25)\/(-2))*-5. What is the derivative of -1 + c - c - y*c wrt c?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*22743538\nAnswer: -4548707.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10567546 and 2662.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -135 - -229. Suppose -4*t + c = -2*t + 2*w, 3*w = 5*t - 243. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1888 and 1136?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3328018483?\nAnswer: 113, 29451491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -3, 1, -28485, 0.\nAnswer: -28485, -3, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 10:24 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 7:56 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) -1 (b) -23\/98 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 74720620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 22 = 4*z, 3*p = 2*z + 15 + 7. Let s = 0 + z. Let d be s\/12*(2 + -1 + -7). Calculate the greatest common factor of d and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 8*j = -522. Let d = 192 + j. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 465.4 + -442.8. Which is the smallest value? (a) w (b) 1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**3 - o**5 + o**3 + (2*o - 1 + 1)*(-2*o**4 + 0 + 0) + (-2*o - 3*o + 8*o)*(0*o**4 + o**4 - 3*o**4).\nAnswer: -11*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 140080010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52)\/sqrt(4) + -2)**2*-1 - (-2 + (0 + sqrt(13))**2 + -4)) + -4.\nAnswer: -28 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2313.72231223 and -1?\nAnswer: 2312.72231223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.51 and 494?\nAnswer: 1239.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/349989 and 9\/7.\nAnswer: 2449923","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/17 - -43\/68. Let h = 45.3 - 45.7. Which is the nearest to v? (a) -1 (b) -5\/3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 1)*((13*y - 59*y - 3*y)*(-2 + 4 - 4) + 3*y - 5*y + 3*y).\nAnswer: 396*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.5 + -1.59. Let t = 0.29 + a. Is t at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 447 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222112221102 + -1100?\nAnswer: 222112220002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = f - 447, -9*k = 3*f - 4*k - 1365. Let l be 4*1 - f\/25. Calculate the remainder when 36 is divided by -6 - -3 - (l - 2\/1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 993 is divided by 365?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11\/(-1*1\/(-2)). Let a = 27 - d. Solve -p = -a*p + 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z + 1\/2*z**3 + 3\/2*z**2 + 0. Differentiate n(t) wrt t.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of i**10\/2520 - i**6\/120 + 2*i**3\/3 + 1. Let b(n) be the third derivative of p(n). Find the third derivative of b(a) wrt a.\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - g**2 - g + 2. Let d be n(0). Suppose 1 - d = v. Let i = v - -2. Solve -c - 3*f - 7 = -i, 2*f + 15 = 3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3 - (-2)\/2)*(-182)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ekq when three letters picked without replacement from kxekkckxqlclqeek?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*p = 19, -4*d = 2*p - 18 + 4. Let r(a) = -a**3 + a. Let x be r(1). Suppose x = -d*b + 11 + 13. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-10 - 1 - (53 - 68))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 107?\nAnswer: 5\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -180.06 + 182. Let h = g - -0.06. Let l = 0 - -0.1. Which is the smallest value? (a) l (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247722784.\nAnswer: 2, 1217, 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 19392*n + 445478. Determine z(-23).\nAnswer: -538","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -0.177, -2\/3, 3\/7, -2\/11?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 201030305?\nAnswer: 201030302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14609\/40 - -1858\/5. Calculate the common denominator of -53\/16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2103 + -349)\/((-1)\/2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324158 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + -24. Is (-7 + (-632)\/l)\/((-4)\/(-10)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8*-92\nAnswer: -73.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 87 = 27*h. Solve m - 2*m = -g + h, -5*g - 3*m = 22 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2210 + 211111?\nAnswer: 201201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 1\/8*i**2 + 17\/8 = 0. What is i?\nAnswer: -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-54 + 56)\/(0 + 62571). Let b = p - 1522585\/750852. What is the common denominator of b and -37\/27?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16303 is divided by 5406?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 16 + 52. Let v = l + 40. Is 23 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i**2. Let x(g) be the second derivative of -5*g**3\/3 + 25*g. Give d(x(n)).\nAnswer: 400*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 3) in base 8?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 307*m = 308*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 4:00 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2658?\nAnswer: 2, 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -4*w - 8, -4*k = -3*w - k - 24 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 1:43 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 6*h**2 - 31*h + 39. What is y(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 6, 348 = -2*u + 5*s + 105. Let x(l) = 61*l - 1. Let t be x(-3). Let j = u - t. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 55*i + 33 = 50*i, y - 4*i - 4 = 0. What is the remainder when 117 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -7*x**3 - 41*x**2 - 33*x - 215. Let s(i) = -2*i**3 + i. Let h(o) = -f(o) + 4*s(o). Calculate the remainder when h(42) is divided by 1 + -3 + 6\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 8*f - 96 + 28 + 37.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2809cd (base 16) in base 4?\nAnswer: 22000213031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**3 - 15*o**2 - 41*o - 7. Let f be v(7). Solve -38*r - 268 + 78 = f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*f + 50 = 24, 0 = 3*q + 5*f - 56. Calculate the remainder when 225 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4563.0705 rounded to the nearest ten?\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 4*t - 2*t)*(-1 + 1 + 1)*(-51552 - 58484 + 104238).\nAnswer: 11596*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -924, -1840, -2756, -3672, -4588?\nAnswer: -5504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/656035 and -34\/3665.\nAnswer: 656035","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2684)\/50325)\/(6\/(-135)*-5).\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v + n + 6, -14*v - 9*v + 15*v + 9*v - 46 = -3*n for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l**2 - 88*l + 501. What is b(7)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**5 + 2*u**4 + 2*u**3\/3 + 2*u - 76. Factor m(f).\nAnswer: 4*f*(f + 1)*(5*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2899786147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95 - 44 + 178 + 0*r - 39 + 2*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 2:08 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18877603?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -19*v + 47. Suppose -y + 4 = 0, -6*l + 1745 = -3*l + v*y. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 6:23 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2842216677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3512*f - 12 + 899*f + 25. Let q be s(17). Round q to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11360.1 - 11359. Which is the second smallest value? (a) -0.09 (b) f (c) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 498 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 707814250 a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(833) + 0)*4 + 0 + sqrt(833)*-4*-2 + -2)**2.\nAnswer: -1008*sqrt(17) + 119988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -360, -717, -1074, -1431, -1788, -2145?\n\"Answer: -357*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -144*m**4 + 24*m**3 + 87*m**2 + 30*m + 3 = 0.\nAnswer: -1\/3, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of d**3 - d - 2. Let i be (2\/3)\/((-4)\/6). Let v be u(i). Solve v = -2*s + s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -644, -1278, -1912, -2546?\n\"Answer: -634*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 2\/5207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(98) + 0)**2 + -2 - sqrt(98)) + -3) + -5.\nAnswer: -284 + 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-8)\/(-16)))\/(14\/2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5332 - 4980. Solve -h - x = -355 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8696 + 21 + (-4)\/(4\/3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 147 = -4*a. Let t = 50 + a. Suppose -6 = -d - 3*n, -2*d = 2*d - 3*n + t. Which is smaller: d or -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4241 (base 7) in base 5?\nAnswer: -21444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 11:45 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/((-9)\/3))\/(-14*1\/2)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12161?\nAnswer: 12161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1322 and -0.02?\nAnswer: 26.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 4:30 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g\/g**(-32))*g*g)\/(g*g**(7\/8)))**10 assuming g is positive.\nAnswer: g**(-1235\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a**5 - 194*a**4 - 1952*a**3\/3 + 44480*a**2\/3 - 102400*a\/3 + 64000\/3 = 0. Calculate a.\nAnswer: -20, 4\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 52\/3 of a year?\nAnswer: 208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - g = -24 + 10, 0 = 2*f + 3*g - 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55762\/5 - -11048. Let d = k + 104. What is the smallest value in d, -3\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 + c438?\nAnswer: c448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -v**5\/120 - v**3\/3 - 28*v + 158. Let y(c) be the third derivative of u(c). Give y(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -b**8\/168 + b**5\/60 + 2*b**2. What is the third derivative of m(r) wrt r?\nAnswer: -120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/400 and 17\/16.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/3 (b) -111856 (c) -5 (d) 576\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -96 + 13. Suppose -29*f = 4*h - 25*f + 328, -3*h = -3*f + 246. Which is bigger: h or b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -27*w + 176. Let c(v) = -6*v + 295. Let z be c(48). Let s be m(z). Let q(u) = -u**3 - 13*u**2 + u + 7. Determine q(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20*(-9)\/(-7650))\/((-9)\/(-5) + -2)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrzrzrsnzzznmzr. Give prob of sequence rs.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*t + 123509 = 66*t. Solve -1150 = -19*h - t for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3597793 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: Round 125.1687205 to 1 dp.\nAnswer: 125.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 7*d - 34. Suppose -j + 0*j + 2 = 0. Solve d*m - 10 = 2*s + m, j*s - 3*m + 11 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*c = -236, 6*u = u + 3*c - 327. Let x(v) = -117*v + 1141. Let f be x(8). Let d = f + u. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g**5\/2 - g**4\/2 + 7*g**3\/2 - 11*g**2\/2 - 18*g. Let p(q) = -2*q**3 - q**2 + 4*q - 2. Give -2*a(z) + 11*p(z).\nAnswer: -2*z**3 + z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5538 = -982*f + 59*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/56 of a week?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - u = 2*u + 70, -5*u + 86 = 2*z. Suppose 5*h + 2*v = 80, 2*v = -h + 6*v + z. What is the highest common factor of 36 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y\/y**(-7)*y))\/y)**(13\/3) assuming y is positive.\nAnswer: y**(-130\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + i - 22, -4*i + 18008 = -d + 18004 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/1)\/(-6)*-70*40\/(-7560)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 1. What is the first derivative of -4*r**z - 2 + 0*r**2 + 2*r**2 + 4 wrt r?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 82522*v**3 - 2.\nAnswer: -82522*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*n - 1042 = 136*n. Suppose -15*p + 188 = -n. What are the prime factors of p?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -813800 divided by 5\nAnswer: -162760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -z**2 + 4*z - 6. Suppose -2*c + o - 14 = 5*o, 2*c - o = 11. Suppose -c*i - 2*i = -25. What is s(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65.1 - 65. Put -2\/35, 0.3, 1\/17, p in decreasing order.\nAnswer: 0.3, p, 1\/17, -2\/35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(169 - -11)*18. What is the biggest value in j, 0.5, -0.4, -0.9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 123?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -101 + 129. What is the remainder when s is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -150, 2\/9, -8, -1, 1\/3, 6\/79, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 57 - 13*m - 6*m + 21*m as q*m + i and give i.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3126412\/413 + 7570. Let k = -892\/13629 - c. Put -2, k, 4\/5 in descending order.\nAnswer: 4\/5, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, e: 9, d: 4}. What is prob of picking 3 j?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4688829.\nAnswer: 3, 520981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 19 + 42 + -59?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 7 = -2*j + 1, 3*j = -9. Suppose k*v = 2*v + 4. List the prime factors of ((-261)\/45)\/(v\/10).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21035 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(8618\/1705 + -6 + 1). Which is smaller: -58 or z?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 1\/21*v**6 - 11 + 4\/21*v**3 + 0*v**4 + 0*v - 1\/7*v**2 - 4\/35*v**5. Solve r(g) = 0 for g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (s + 0*s + 0*s)*(2 + 5 - 5) - 27*s - 1 + 0 + 24*s in the form w + n*s and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = l - 17, -2*b + 0*l - 4*l = -26. Suppose -86 + b = -5*j - 2*y, 5*j + y = 70. Calculate the remainder when 58 is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -160*i + 188835 + 55805. Does 153 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/2)\/((-100)\/(-80)). Solve c = j - s, -4*j + 5*c + 10 = 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z - 37. Let s(y) = y + 37. Give -4*k(x) - 3*s(x).\nAnswer: x + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3253 - -3155. Is v at most -484\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4*a + 45, -4*a = -28 + 8. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1861148?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 92.447 to the nearest integer.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*h**3 + 1 + 224*h**3 + h**2 - 1 - 113*h**3.\nAnswer: 2*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10.5 - 11. Let f = -19 + 2. Let h = f + 18. What is the nearest to h in b, 1, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 170311?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*w + 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-6)*1*24\/42?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -530 + 3?\nAnswer: -527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*o**2 + o**2 - 2*o**4 + 0*o**4 in the form s*o + d*o**4 + n*o**3 + q*o**2 + c and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -56*(-15)\/6 + -4. Suppose 0*u = -4*u - c. Let l = 45 + u. Does l = 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2496978*a**2*m*y**2 + a**2*m*y - a*y**2 - 27*a*y + 24848*m*y + 2*y**2 wrt a?\nAnswer: -4993956*m*y**2 + 2*m*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -95565*y**3 + 3203*y + 10 wrt y.\nAnswer: -573390*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3873, 35, 4 in increasing order.\nAnswer: 4, 35, 3873","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -55049.09747 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 1 + 1 = -2*n, -4*b + 5 = n. Let s(i) = -21 - 9*i + i**b + 21. Let d be s(11). What is the highest common factor of 2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001100011 (base 2) in base 10?\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -w - 192. Let b be 1236\/w - -4 - (-3)\/8. List the prime factors of b - (4\/(-4) + 3).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in days?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -45483 - -4?\nAnswer: -4547d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 + 3*v**3 - 2*v**3)*(v**2 + 5 - 3 - 1) - 3*v**5 - 2*v**5 + 3*v**5.\nAnswer: -3*v**5 - v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/484 - -961\/3388. Do y and 1\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + p - 4. What is y(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 2*a**2 + 2*a - 2. Let p be f(2). Suppose -c = -0*w - 5*w + p, w = -2*c + 8. Solve 9 = x + 5*q, 4*x = 3*q - 6 - w for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -155*w + 325. What is q(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4429 minus 912.836089?\nAnswer: 3516.163911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -2 (c) 0.03 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a*a**(14\/11)*a\/(a\/(a*a*(a*a**(-9\/2))\/a*a))*a**(14\/9)*a**(-2\/67) assuming a is positive.\nAnswer: a**(43757\/13266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10354 + 10357. Which is the smallest value? (a) -0.2 (b) -35 (c) -0.3 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1144123 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54 - 12 + 69 - 4*r**4 + 3*r**4 - r**2 to the form t*r**4 + w*r**3 + o + b*r**2 + l*r and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13450.\nAnswer: 2, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 5*b, 0 = 8*r - 6*r + 5*b + 1660 - 1682 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 99.64255431 to one dp.\nAnswer: 99.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wv when two letters picked without replacement from {t: 5, v: 2, w: 3, a: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**3 + 232*a**2 + 641*a - 139. Give f(80).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58)\/180 - (-5)\/50?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*o = 193 - 271 - 2109 + 31 for o.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z + 2. Let a be j(0). Let d(q) = 4*q**2 - 2*q**2 + a + 3*q - 3*q**2. Suppose -10*o = -12*o + 4. Determine d(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1441252893 to the nearest integer?\nAnswer: 37964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1664*o + 1121*o + 5*o**2 - 2205 - 580*o - 5*o**3.\nAnswer: -5*(o - 21)*(o - 1)*(o + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5254742695 to four decimal places.\nAnswer: 0.5255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + y + 2*q = -170, -5*y + 277 = 3*q. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 202*g**2 + 215*g*l**3 + 410366*l**3 wrt g.\nAnswer: 404*g + 215*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 724837?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 130123340?\nAnswer: 130123341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jij when three letters picked without replacement from jjjjjjjijjij?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -36, -31, -24, -15?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2603.3 rounded to the nearest 10?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/2)\/a)**(-2\/119))**7 assuming a is positive.\nAnswer: a**(3\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07197? (a) -7 (b) -0.1 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 131.26 - 0.0199553?\nAnswer: 131.2400447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.9 - 3. Is -13 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/9)\/((-464)\/(-522))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t**5 - 995*t**4 - 29160*t**3 + 320740*t**2 - 900800*t + 768000 = 0. Calculate t.\nAnswer: -160, -48, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.029 + 0.009. Is b greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (27335\/(-275))\/(7\/(-3920)).\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008)*1 + 4 + sqrt(1008) + (sqrt(1008) + 1 + sqrt(1008) + -1 - sqrt(1008)))**2 + -1.\nAnswer: 288*sqrt(7) + 9087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1606, -5972, -13214, -23332, -36326, -52196, -70942?\n\"Answer: -1438*d**2 - 52*d - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26792979 divided by 26792979?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 463907 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 - 35. Let t(q) = -q**3 - 11*q**2 - 24*q - 23. Calculate the remainder when 150 is divided by t(y).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 597206117*p**2 - 958747519*p wrt p?\nAnswer: 1194412234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -12*p**6 + 6*p**5 + 17*p**2 + 6*p. Let q(a) = 13*a**6 - 5*a**5 - 17*a**2 - 5*a. Let m(t) = 5*c(t) + 6*q(t). Find the third derivative of m(d) wrt d.\nAnswer: 2160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -5*p**2 + 27390*p - 37510605 = 0?\nAnswer: 2739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 + 5*w**2 + 4*w**2 to g + x*w**2 + z*w and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 3, j + 1983 + 349 = d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -6. Let w(r) = 2*r**3 - 17*r**2 + 2*r - 13. Let j(b) = b**3 - 9*b**2 + b - 7. Let k(n) = 11*j(n) - 6*w(n). What is the units digit of k(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23195502559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2002233 (base 4) to base 14\nAnswer: 3099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of 569*z**6\/15 - 3599*z**2 + 1194*z. Find the first derivative of m(x) wrt x.\nAnswer: 4552*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -28*(-2)\/4 + -4. Let w = 17 - v. What is the derivative of 3*c + 3*c - 2*c - w + 4 wrt c?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wsw when three letters picked without replacement from {w: 7, z: 11, s: 1}?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -0.0063 (c) -53 (d) -2\/5 (e) -0.2 (f) -8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 2. Let p be s(0). Suppose -7*d - 305 = -p*d. Is -62 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, d: 2, n: 1, o: 1, l: 4, g: 6}. Give prob of sequence pgn.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*t**2 + 3878193 + 3878191 - 7756384.\nAnswer: -41*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeieieeiieeeeeieei. Give prob of picking 1 i and 3 e.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51) - -1*sqrt(204))\/(sqrt(75)*-2 - sqrt(75)) - ((sqrt(136) - -2*sqrt(136))*-2)\/(sqrt(80)\/sqrt(40)).\nAnswer: 59*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 602?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mfuf when four letters picked without replacement from fuufhhuummufmuumuu?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 0*t**4 + 1\/630*t**7 + 0*t + 1\/18*t**3 + 0*t**6 - t**2 - 1\/90*t**5 + 0. Factor h(p).\nAnswer: (p - 1)**2*(p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/64 of a millimeter?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, -31, -180, -389, -658?\nAnswer: -987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1880 + -1916. Which is the third biggest value? (a) -0.4 (b) -0.1 (c) -5 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31036051 or 31036053?\nAnswer: 31036051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-2)\/3)*(-140)\/(-42).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence se when two letters picked without replacement from seexeexssxss.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 960 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 219191\/110 - 9978\/5. Find the common denominator of 32\/7 and o.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 k when four letters picked without replacement from nkonxkkkkkoxxkkkxkoo.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.9431 to one dp.\nAnswer: -13.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 238*i + 235*i = 84, -5*t + 2*i + 355 = 0. Calculate the remainder when 217 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 627 - 619. Suppose -5516 = -h*m + 33372. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1982, -1986, -1976, -1946, -1890, -1802, -1676, -1506?\nAnswer: -1286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*r + 3 - 3 = 0. Let z(n) be the third derivative of r + 0*n + 2*n**2 - 1\/14*n**3 + 1\/84*n**4 + 1\/420*n**5. Factor z(f).\nAnswer: (f - 1)*(f + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4445 divide 367304089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -1, -2\/231, -2\/23 in ascending order.\nAnswer: -1, -2\/23, -2\/231, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.89583 rounded to 1 decimal place?\nAnswer: 8.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3155536 to the power of 1\/2, to the nearest integer?\nAnswer: 1776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2. Let d(h) = h + 2. Let g(x) = 415*x**2 + 415*x + 830. Let u(t) = -415*d(t) + g(t). Calculate u(i(l)).\nAnswer: 415*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -0*l. Let m(p) = -2*p**3 + 4*p**2 + 3*p - 4. Let c be m(2). Suppose c*w - 7 - 5 = l. Solve 2*g - 2 = q, -9 = -g - 3*q + w for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/7, -0.18562, -0.3, -1\/2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 1 + 4*k - 5*k**2 + 41 + 12*k**2 - 8 + 7. What is the tens digit of g(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (-143)\/(-429)*(-5196)\/2. Calculate the highest common divisor of 176 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 0 - 9\/2*p**2 + 15*p + 5\/3*p**3. What is the remainder when 123 is divided by y(4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 11*m - 7. Let s be h(11). Let d = s + 3. Let r = d + 11. Solve -3 - r = -2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 - 54. Let u = 41\/3 - 13. What is the nearest to -5 in a, u, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 82\/17 (b) -2\/9 (c) -2.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 7*z + 2 = -5*z, -2*z + 14 = 3*k. Which is the closest to 0? (a) -4\/5 (b) k (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621608207.\nAnswer: 11, 1129, 50053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**2 + 5*h + 5. Let b(r) = 2*r**2 - 4*r - 4. Let s = 2 - 19. Let g = -12 - s. Let y(n) = g*b(n) + 4*d(n). Let y(k) = 0. Calculate k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -46*k**2 - 26*k - 4*k**4 + 2*k**4 + 98*k**2 - 82*k**2 - 8 - 14*k**3 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12008505941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -33*m**2 + 67*m**2 - m - 31*m**2 - 17. Let h be q(7). Does 24 divide (0 + 3)*-1 + h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -4*h**5\/15 - 5*h**4\/12 - h**3\/9 - 43. Factor g(v).\nAnswer: -v**2*(v + 1)*(4*v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z**2 + 234*z + 161. Calculate h(-46).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n - 373 + 344 = 3*z, 20 = -5*z + 5*n - 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/7, 1235, 1, -1?\nAnswer: 1235","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 7*a**3 + 13*a**2 + 4*a + 6. Let w(u) = 3*u**3 + 6*u**2 + 2*u + 3. Let c(r) = 2*f(r) - 5*w(r). Suppose -9 = 4*i + 3. What is c(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 5*j - 20 - 15, 5*j = 2*p - 7. Suppose 0 = 5*t + 1 - p. What is the second smallest value in -2\/13, -3, t?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(448) + -1)**2 + sqrt(448) - ((sqrt(56)\/sqrt(2))\/sqrt(4) + 5).\nAnswer: -9*sqrt(7) + 447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4)*8\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 0.1, -2\/41, 4, 0, 2\/7 in descending order.\nAnswer: 4, 4\/7, 2\/7, 0.1, 0, -2\/41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 10, t: 2, h: 3, d: 1}. What is prob of picking 1 h, 1 d, and 2 w?\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -345*g**2 - 25*g - 53. Let t(b) = -83*b**2 - 6*b - 13. Calculate 6*r(d) - 25*t(d).\nAnswer: 5*d**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6855*((-832)\/(-20))\/(-13). Calculate the highest common factor of 96 and m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-143)\/312)\/(-11))\/(3\/18)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.91 to one decimal place.\nAnswer: 11.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d + 33*d - 15 = 0. Solve -2*h = a + d, 4*a = -5*h + 2 + 3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + u. Let k be i(-3). Suppose s + k = 21. Solve -5*n = -0*n - 2*t - s, n = -t + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 24 = w - 0*w, 5*w + 3*n = 35. Suppose -3*g - 16 = -5*u, -u = u - 10. Sort g, 2, w in decreasing order.\nAnswer: w, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-806)\/13*(-48)\/(-288)?\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2343041 + -4253?\nAnswer: 2334344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -3. Suppose 0 = -u*y + 14 + 8. Let l = -7 + y. Is l a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 5*k + 4*m, 4*k + m = 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**4\/12 - 7*a**3\/3 - 9*a**2\/2 + 12*a. Let z be m(-11). Suppose 15*y + z = 12*y. Which is greater: y or -10?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d - 6*d + 3*d)*(-7 - 10 + 2)*(216*d - 732 + 732) to h*d + f*d**2 + m and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 1593*k + 1594*k = -17, k = 18*f - 4*k + 283 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 702 a factor of 906282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71385178?\nAnswer: 2, 35692589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -44205047*l + 1. Let c(b) = -5*b. Determine c(n(z)).\nAnswer: 221025235*z - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -503827*1.34.\nAnswer: -675128.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2152?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**5 + 80*j**4 + 582*j**3 - 6004*j**2 + 2176*j + 31680 = 0.\nAnswer: -11, -2, 4, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*r = -23*r + 9 - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62525 - -116511. List the prime factors of v.\nAnswer: 2, 26993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 4:15 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6756395 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 10:00 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 4*r - 2*x, 3*r + 5 + 14 = 2*x. Let a be (2\/6)\/((-1)\/r). Suppose 2*m - 4*d = 14, -a - 9 = 5*d. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140288 divided by -2.\nAnswer: 70144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/264 and -89\/74532.\nAnswer: 1639704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 29?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/3))**(-46)\/(k**(-1)*k**(-3\/5)) assuming k is positive.\nAnswer: k**(-206\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/131, 0, -3, -0.3, 107?\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 118*y**3 + 234*y**2 - 3*y. Let g(w) = -120*w**3 - 237*w**2 + 4*w. Let l(z) = 3*g(z) + 4*n(z). What is the third derivative of l(q) wrt q?\nAnswer: 672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yvpvpvspcvcv. What is prob of sequence ccs?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1560.006585 rounded to the nearest 10?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -130010?\nAnswer: 130013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011020100 (base 3) to base 7.\nAnswer: -123246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 630 by -3.\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7035153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 9*v + 5. Let i be a(6). Let c(x) = 2*x**2 + 25*x - 14. Let u be c(i). What is u rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 7 + -3 + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3, 3, 5, 3, -3, -13?\n\"Answer: -2*z**2 + 12*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4903000 rounded to the nearest 100000?\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -0.2, 5\/3, -10?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -4679.\nAnswer: -15\/4679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 921064 by -921064.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3677287 - -0.5\nAnswer: -3677286.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nr when two letters picked without replacement from {r: 5, v: 3, b: 3, n: 1}?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 - -41. Let g be (-13)\/p + -4 - (4 + -1). Which is the closest to -3? (a) g (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(((y*y**1*y*y)\/y)\/y))**(1\/18)*(y\/(y*y*(y\/((y**(3\/5)*y)\/y)*y)\/y))\/y**(-1\/7) assuming y is positive.\nAnswer: y**(-827\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w**3 - 20 + 20.\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of p**8\/56 + 33*p**5\/20 - p**4\/4 + p**3 + 2*p - 27. What is the third derivative of x(h) wrt h?\nAnswer: 120*h**3 + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2123441 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*m - 11066 + 17338 = 0 for m.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.8 in -0.5, 0.5, -2, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 6:18 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 125982.8 - 125983. Suppose t - 8 = -g, -5*t + 4*g = -0*g - 4. Which is the second smallest value? (a) 0.4 (b) t (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/9? (a) 2\/11 (b) 3 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 360049099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/7, 4\/7, -0.1, -47997.22 in descending order.\nAnswer: 4\/7, -0.1, -2\/7, -3, -47997.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 8*v**3 + v**2. Let f(w) = 11*w - 19*w - 4*w**2 + 4*w - w**3 - 2. Let c be f(-3). Calculate u(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2455 times 0.4\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + i**2 + i - 3*i**2 + 0*i**2 + (-2425*i - 1259*i - 482*i)*(3*i - 2 + 2).\nAnswer: -12500*i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -297.1 + 297. Which is the fourth biggest value? (a) -0.2 (b) x (c) 1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -1\/511 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5799 is divided by 2898.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 7*a**3 + a**2 - a. Let b be j(1). Let c be 2*(15\/(-10) - 1). Let w = c + b. Solve -12 = w*n - 6*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -1148*u**2 + 168*u - 168. Let l(r) = -14*r**2 + r - 1. What is -j(i) + 168*l(i)?\nAnswer: -1204*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (173*i - 552*i - 181*i - 477*i)*(-2*i - 2 + 2).\nAnswer: 2074*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9783262nm in centimeters?\nAnswer: 0.00000009783262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 - -22. Suppose -3*a = -0*a - 23673. Is z\/(-3) - a\/(-39) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 4470300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.4, -17.\nAnswer: -17, -6, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i - 5*i - 2*i)*(2*i**2 - i**2 - 2*i**2) + (4 + 2 - 7)*(4 - 4 - 2*i)*(12*i**2 + 2536*i - 2536*i).\nAnswer: 25*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4 = 6. Suppose -s*z - 3*d = 0, -2*z - 4 = -d + 3*d. Let y(u) = u - 3. Let a be y(z). Solve -2*n - 5*f + 2 = a, 5*n - 4*f + 10 = -18 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5782555 to the nearest integer?\nAnswer: 2405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3796249203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus -2191652722642?\nAnswer: -2191652722642.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o**2 - 7*o + 4. Let b(r) = -2*r**2 + 4*r - 2. Let u(m) = 5*b(m) + 3*i(m). What is u(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 3 + 19. Let a(o) = -2*o**3 - 195*o**2 + 98*o + 24. Let p be a(-98). Calculate the greatest common factor of r and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 >= -41748648?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 4*z - 8, 0 = -0*b - b - 2. Suppose 5*g - 17 = z*t, -3*t + 5*g - 4*g + 1 = 0. Suppose 6*v - 2*v = -2*i + 380, 0 = -t*i. Is 19 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, 2, 0, -14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26982 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -289 + 585. What are the prime factors of w?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 6*t. Let p be m(-7). Let l be p\/20 - 30\/(-50). Which is the nearest to 0? (a) -4 (b) -1\/2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 284, 0.033?\nAnswer: 284","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**2 - 2*h - 1. Calculate the lowest common multiple of 32 and f(3).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 6 = 8*c. Let t(v) = -10 + 3*v**2 + c - 4*v + 1 - 4*v**2. Give t(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/58790 and 64\/45.\nAnswer: 529110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 28*n**2 + 343*n + 210. Is 18 a factor of t(26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13613, 27225, 40839, 54455, 68073, 81693, 95315?\nAnswer: 108939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m + 16*m - 31*m - 48*m**3 + 8*m - m**3.\nAnswer: -49*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 2:04 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 73122458173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, 2, -1, -7, 0 in decreasing order.\nAnswer: 2, 0, -1, -7, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 15*s - 5. Let f be o(-8). Let z = -40 - f. What is the greatest common divisor of z and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 - 426 + 426.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -453? (a) 0.4 (b) -0.1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z + 7. Let y be n(-4). Suppose k = y*k - 92. List the prime factors of k.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**3 - 4*h**3 - 2*h**4)*(23 + 29 - 18)*(3*h + 0*h + 3*h).\nAnswer: -408*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 4*w - 2*w)*(4*w**3 - 2 - 2*w**3 + 3) + 114*w**2 - 114*w**2 + 16*w**4.\nAnswer: 14*w**4 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/6906 and 103\/22414?\nAnswer: 77395542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2078 + -2076. Let k(l) = -l**3 + 4*l**2 - 4*l + 3. Let u = 21 - 19. Let b be k(u). Solve b = g - d for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 364 by 26.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1073172 is divided by 39746?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 169 = -m, -6*i - 3*m + 181 = -2*i. What is the remainder when i is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -5, 11\/5, 2\/9?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1682 minus -33935969?\nAnswer: 33937651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 0.62 (c) 6\/24211 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/3, 2, -5\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*j - 1323*j - 364*j - 307*j to q*j + l and give q.\nAnswer: -2044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -634, -588, -512, -406, -270, -104?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*v - 0*v. Which is the nearest to 1? (a) -4 (b) v (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + -37 + 19 + -2 + 108 + (20 - 4).\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + k - 6*k)*(1 - 3 + 0) - 4*k + 2*k + 3*k + (-3*k + 5*k - k)*(5 + 5 + 2)*(36 + 10 - 5).\nAnswer: 497*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-6696)\/(-18879) + 2\/(-7))*-1\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 260 and 1170.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -f**3\/3 - 1. Let u(s) be the first derivative of 4*s**3\/3 - s**2 + 11511. Give u(j(r)).\nAnswer: 4*r**4 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 6*t - 16. Suppose -5*b + t*b = -10. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than 0.0624433?\nAnswer: 1.0624433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**6\/25 + 91*d**5\/100 + 113*d**4\/20 + 9*d**3\/5 + 9*d - 53. Determine r so that k(r) = 0.\nAnswer: -9, -6, -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639159 to the power of 1\/2, to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -2786759270 to the nearest one million.\nAnswer: -2787000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2108484 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7503634?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 0.9, -1\/118, -2\/15, 3\/2, -1\/4?\nAnswer: -1\/118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - 33) + (0 + -3 - -8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/25)\/(156\/(-110) + 2\/(-11))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jf when two letters picked without replacement from cecccfjef?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 95163, 380716, 856639, 1522932?\n\"Answer: 95185*p**2 - 2*p - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -37 + 34 - (4 + 1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 227 - 225. Let d(n) = 4 + 3*n + n + 29*n**i - 25*n**2. Suppose 0*p + 4 = -p. Let c(m) = m**3 - 5*m**2 - 5*m - 5. Determine p*c(k) - 5*d(k).\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-3 + 3 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 176 - 175. Let g(q) = 16*q**2 - 1. Give g(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 17*c**2. Let f be (-24)\/(-48) - 30\/(-4). Let w(d) = d + 3. Let u(z) = 2*z + 8. Let h(g) = f*w(g) - 3*u(g). What is h(n(q))?\nAnswer: 34*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -158 - -278. Let o = -120 + r. Suppose o = -4*a + 5 + 7. What is the lowest common multiple of a and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 2:21 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**4\/12 + a**3\/3 - 3*a**2 + 114*a. Calculate z(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + r + 0*r = -8, -5*o = -2*r + 11. Let v = -20 + 28. Let x be 1 - (v*-1)\/(-2). Is x less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1626.24+0.5\nAnswer: 1626.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5140 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 -4 - (-2157)\/(-330) - (-48510)\/4620?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.3 - 2.35. Let g = u - 4.453. Let i = g + -0.157. Round i to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 1918*j**2 + 30*j + 9. Is s(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 16529?\nAnswer: 6611.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326527895 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 7*d - 60. Let g be l(9). Suppose 0 = -g*u + 1637 + 478. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20670, -83462, -188122, -334656, -523070, -753370?\nAnswer: -1025562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d - 13. Let j be (-3 + 2)\/((-92)\/32 + 3). Let f be b(j). Suppose 36 = f*n - 7*n. Solve 5*g + v = n, 0 = g + 3*v + 2 - 15 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 20 - 148 = 0. What is the remainder when 167 is divided by r?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33006*-79.8.\nAnswer: -2633878.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 3) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/2*(-664)\/11952)\/((-3)\/(-92)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -25*l**2 - 1101*l - 92. Calculate g(-45).\nAnswer: -1172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6132 by -3.\nAnswer: 2044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**3 - v**2 + 3*v - 7. Let m be x(4). Let q = -99 + m. What are the prime factors of q?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*d**3 + 39*d**3 + 2*d**3)*(-5 + 12*d + 5 + (d + 0*d + d)*(-2 + 4 - 4) + 0*d - 3*d + 4*d) in the form f + m*d**4 + l*d**2 + k*d**3 + z*d and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u = -8*u + 3*u. Let h be (-28)\/(-77) - 252\/(-154). Factor u - 8\/7*v + 20\/7*v**h.\nAnswer: 4*v*(5*v - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g**3\/3 - g**2 + 2. Let d be h(2). Let w be (30\/(-72))\/((-1)\/8)*6. Solve -3*j + 3*l - 2 - 1 = d, 4*j + 2*l = w for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-45)\/180 + (-193047)\/(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5.02 in 3, -1.4, -0.5?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*x + 9851337 = 0, 4*c - x - 19702687 = 2*x. Suppose 2718165 = 2*n - 2733177. Let p = c - n. Round p to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 4*s + 2 = 0, -2*s - 8358 = -4*u. Round u to the nearest one hundred.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 12*g**2 + 10*g + 8. Let s be m(11). Let j be (-3)\/2*20\/6. Let o be j\/s*9\/45. Which is the second biggest value? (a) o (b) -3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 189389579 to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 493441, 493442, 493443, 493444?\n\"Answer: u + 493440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(13) - (-3 + 6*sqrt(13))))**2.\nAnswer: -120*sqrt(13) + 1336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13519437.22 rounded to the nearest one hundred thousand?\nAnswer: 13500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 1439904?\nAnswer: 1\/1439904","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 31463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 26*a + 811. Let l be b(-31). Solve 2*i + 14 = -l*v, 5*i = -4*v - 6 - 12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17759 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 507 = 5*i + 8*i. What is i rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5110 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 789162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**4 - f**2 - 34 + 59 - 28 + 4*f in the form x*f**3 + o + n*f**2 + z*f + i*f**4 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 28972 divided by -314?\nAnswer: -14486\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) + -1)**2 - sqrt(44)\/((sqrt(64) - sqrt(4)) + sqrt(4) - sqrt(4))) + ((sqrt(110)\/sqrt(40))**2 + -1)*-2.\nAnswer: -67*sqrt(11)\/3 + 2657\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 2:11 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttttttqttttqtttt. Give prob of sequence qt.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/2 - 1\/(-2). Suppose -12*g = -21*g + 27. Put m, g, 0 in descending order.\nAnswer: g, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 12*u**2 + 9*u - 127. Calculate d(-10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(5 - 63\/12). Let w(k) = -4*k**2 - k + 2. Let a(m) = 5*m**2 - 3. Let t(o) = 3*a(o) + 4*w(o). What is t(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8*6\/288)\/((-1)\/4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 9, 4, 13, 21, -4 in descending order.\nAnswer: 21, 13, 9, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 54*y**2 + 57*y + 117. What is i(-55)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12390, 16101, 22288, 30951?\nAnswer: 42090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -269*z**3 + 16*z**2 + 50*z + 37. Is p(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b**3 + 11*b**2 + 2*b - 14. Let x(s) = -5*s**3 + 12*s**2 + 2*s - 13. Let c(v) = -4*l(v) + 3*x(v). Let w be c(9). Does 12 divide (-14)\/(-21) + w\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 28*c. Let g(i) = -i. Let r = 135 - 134. Let u(x) = -4*x. Let b(v) = r*g(v) - u(v). Determine w(b(m)).\nAnswer: 84*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -1255*z + 4. Let h(i) = 1878*i - 4. Determine -5*h(y) - 7*r(y).\nAnswer: -605*y - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*f**4*r - 69*f**3*r**2 - 6*f*r + 15*r**2 - 2 wrt f.\nAnswer: 60*f**2*r - 414*f*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -226 or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 348 and 53236.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 23 = -17*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 407?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/(-12) + (4 - 4). Let m = a + 11\/10. Let c = -24\/11 + 116\/33. What is the third smallest value in c, -5, m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 568, 2266, 5102, 9082, 14212, 20498, 27946?\n\"Answer: u**3 + 563*u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(4\/9)*o)\/(o**(2\/11)\/o)*(o**(-2))**(-12))\/((o**2\/o*o)**(-26))**29 assuming o is positive.\nAnswer: o**(151991\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 5\/68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83639728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 10*p**2 + 6*p - 7. Let m be k(2). What is the greatest common factor of m and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.412 + 0.088. Which is greater: 0.06 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -535523 * -0.16.\nAnswer: 85683.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 58*f**2 - 11*f - 11. Let m(c) = -3 + 26*c**2 - 4*c - 45*c**2 + 40*c**2 - 1. Let b(g) = -11*m(g) + 4*q(g). Let h(u) = 101*u**2. Calculate h(b(x)).\nAnswer: 101*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, a: 5}. Give prob of picking 1 a and 1 v.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 0 + 3*p + 0*p**5 + 0*p**3 + 0*p**4 - 3\/2*p**2 + 2\/15*p**6. Differentiate m(h) with respect to h.\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.163 + 0.4\nAnswer: 0.563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -34*a**2 + 7*a - 3. Let g(t) = 35*t**2 - 6*t + 4. What is -6*b(h) - 7*g(h)?\nAnswer: -41*h**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4049311306*o**2 - 2*o**3 + 4049311306*o**2.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 114152\/9 - 12684. Let t = 0 + -0.5. Which is the closest to 20? (a) v (b) 0.1 (c) 2 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -11*c - 72. What is g(-12)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 + 1401314?\nAnswer: 1401342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/(-4 + 2))\/(4\/1082) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 338, 671, 1004, 1337?\n\"Answer: 333*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbfrfrbbr. What is prob of sequence ff?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -176421, -352830, -529227, -705612?\nAnswer: -881985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 v when two letters picked without replacement from {o: 11, h: 2, v: 2}.\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 s when three letters picked without replacement from {s: 2, k: 16}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, x: 1, o: 1, y: 3, h: 4, s: 2}. What is prob of sequence yyhr?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + l - 103154 + 103170 = -0*l, 5*n = -5*l + 70 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24805917 and -0.5.\nAnswer: 12402958.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of 3991*j**6\/30 - 35*j**3\/2 - 17*j**2\/2 + j + 1625. Find the second derivative of o(r) wrt r.\nAnswer: 47892*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4 - 4 = 0. Suppose 144 = t*y - 4*s, 2 - 43 = -y + 2*s. Suppose -5*u + 1064 = -y. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b*c*t**2 + 24*b*c*t + 3*b*c - b*t**2 + 54*b*t - 21270*c**2*t**2 + 3*c**2*t + 2*t wrt t.\nAnswer: 2*b*c - 2*b - 42540*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1795 + -1744. Which is the second smallest value? (a) -4 (b) 0.1 (c) o (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o = 11*o - 7, -86280 = -2*u - 4*o. What is the thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 24, 5, -15, 10, -5 in ascending order.\nAnswer: -15, -6, -5, 5, 10, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -107501 - -32680213\/304. Calculate the common denominator of -73\/272 and a.\nAnswer: 5168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 141, 471, 1121, 2199, 3813, 6071, 9081?\nAnswer: 12951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3935d8 + a?\nAnswer: -3935cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 10.2. Let t = 21 - 43\/2. Put 2, u, -5, t in increasing order.\nAnswer: -5, t, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -1. Let o = -28 + 27. Which is the closest to p? (a) o (b) 1\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(114)\/sqrt(384) + -4)**2.\nAnswer: -3*sqrt(19)\/4 + 595\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01359 + -0.0235904. Let f = 0.29 + -0.3. Let d = w - f. Round d to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54270 and 1170.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 2*v = 8, 13*c - 18*c + 56 = 4*v for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -27615 + -13.773\nAnswer: -27628.773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 1.6 (c) 0.4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25915 + 102960293\/3973. Is 0 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 429704?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -23. Suppose 0 = 5*i + 2*m - 237, -i + 4*m - m + 61 = a. Let w = -57 + 82. What is the remainder when i is divided by w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.31 - -869803.476884\nAnswer: 869803.166884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + c. Suppose -4*u - 1 = -3*u. Let b(z) = -6*z**3 - 5*z. Let g(l) = u*b(l) - 5*a(l). Factor g(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.7 and -2137877.\nAnswer: -2137880.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 26*t + 56. Let j be z(-24). Solve -p - 3*p = -j for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 5*b + 2. Let p be ((-6)\/9)\/(5\/(-45)). Suppose 5*j + 5*m - 40 = 0, -p*j + j + 40 = -5*m. Suppose 3*y - j = 4. Determine n(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence azw when three letters picked without replacement from zzzzawuzzuzwajzat.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 668880 to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 375927 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35423 (base 7) to base 13.\nAnswer: 4205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1452\/(-96) - -15) + (-121)\/(-8). Suppose 0 = -0*q + 5*q - 225. What is the highest common factor of q and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**2*i)**(-5\/2)\/(i**(2\/19)*i*i\/i**(-41)*i))**(-43) assuming i is positive.\nAnswer: i**(84323\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1401159914 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -0.3, 1\/3, 0.7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32 + 50?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 102098.\nAnswer: 2\/51049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2061 + 59956. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -61\/7 in 10, 5, -17\/3, 3\/4, 0.3?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296596 + 287992 = 478*j for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2296492 and 352.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -m**4\/4 - 5*m**3 + 11*m**2\/2 + 27*m - 61. What are the prime factors of v(-17)?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -126561775*o**3 - o**2 - 38495840*o.\nAnswer: -759370650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3897003157 to the power of 1\/3, to the nearest integer?\nAnswer: 1574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13660 - 20886. Let f = g - -13308. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (165*q**3 + 7*q + 1 - 5 - 167*q**3)*(-q**2 - 4*q**2 + 4*q**2).\nAnswer: 2*q**5 - 7*q**3 + 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 523*m**2 - 21*m - 6*m + 2527 - 2527 - 170*m**2 wrt m.\nAnswer: 706","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253*h**2 - 490*h**2 + 236*h**2 + 0*h**3 + 7*h**3.\nAnswer: 7*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40.82 + -41.32. Let f be (2 - 2)\/((-2)\/1). Which is the second biggest value? (a) -2 (b) 0.2 (c) f (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 85 + 5 = 0. Is c greater than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -106 or 149?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -6*d - 14. Let c(t) = -t**2 + 7*t + 4. Let i be c(6). Let o(u) = -u + 6. Let y be o(5). Let x(v) = v + 1. Let h(r) = i*x(r) + y*f(r). Calculate h(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/10767 and -115\/6?\nAnswer: 21534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -171, -155, -103, 3, 181, 449, 825?\n\"Answer: 3*v**3 - 5*v - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.021988867 to three dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 170*z - 154*z - 2928. Suppose 0 = -4*i + 4*y + 12, 4*i + 0 = -5*y + 57. Calculate the remainder when z is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2 - 4. Let g = -2 - q. Suppose h = -3 + 7. Solve 0 = p - g*p - h*i + 32, 5*p = 4*i for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110863261?\nAnswer: 110863261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, m: 11}. Give prob of sequence eem.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 - 288\/5. Let y = -6 + 6.7. Let a = y + -0.4. What is the second biggest value in r, a, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-78*v - 8 + 16 - 7)*((v + 0 + 0)*(-3 - 3*v + 3) - 4 + 4 - 5*v**2) to the form b*v + j*v**3 + l*v**2 + x and give j.\nAnswer: 624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-1 - (-2 + 1 + 4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9368)\/8*83 - 7. What is d rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*w + 21*w + 15. Suppose -4*t + 27 = -w*t. Suppose 0 = 4*n + j - 32, 9*n = 4*n - 4*j + 51. What is the remainder when t is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2825057 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (-3 + 6) - (157 + -149)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fzaf when four letters picked without replacement from aaoiwifzo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55\/266 + -3\/38. Let v = -3.96 + -0.04. Which is the smallest value? (a) h (b) v (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a centimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*l - 4*l - l + 5*l as s + b*l and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 339405122 a multiple of 2338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1009451414 to the nearest integer?\nAnswer: 31772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2246*n - 8912 = 72 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44*a**2*f**4 + a**2 - 4*a*f**2 - 172*a + 111*f**4 + 15*f**2 wrt f?\nAnswer: 1056*a**2*f + 2664*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/((3 - 1) + 0). Suppose 5*i = i + y. Which is the closest to i? (a) -0.4 (b) 2\/9 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194940.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -10*r**2. Let v(a) = -2*a + 6*a + 14*a + 8*a + 13*a. Give v(b(x)).\nAnswer: -390*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**6\/120 - j**5\/60 + j**4\/24 - j**3\/6 + 5*j**2. Let m(z) = -z**3 + 6*z**2 - 6*z + 6. Let c(a) = m(a) + 6*p(a). Factor c(y).\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-40 - -36 - (-3 - -4 - -2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -65446, 0, -43, 12 in increasing order.\nAnswer: -65446, -43, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + 35. Suppose -2*w + k = 2*w. Solve -u + 2 = -g, 0 = 4*u + g + w*g for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -9\/5 (b) 2\/5 (c) 7 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 133 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12 - 5)*-7 + 0. Suppose -5*p + u = 29. What is the lowest common multiple of 4 and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 12 = 2*r. Suppose r*j = -6*j + 8. Are j and -0.01 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 4:09 PM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 1.6. Let d = j + -0.4. Which is the nearest to 0.4? (a) -5\/2 (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of -4 + (-4992)\/((-88)\/11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3531*y**3 - 1772*y + 4?\nAnswer: 21186*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29310, -58616, -87912, -117192, -146450, -175680, -204876, -234032?\nAnswer: -263142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h. Let z(u) = -4*u + u - 6*u + 7*u. Give 13*f(j) + 6*z(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 167500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*1 + (42 - (6 + 3)). Suppose -31*s - 154 = -c*s. Calculate the remainder when s is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-657*z**3 + 517*z**3 - 1027*z**3).\nAnswer: -1167*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13894897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-4)\/(-198)*(-45)\/(-15).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -51*c. Let z(w) = -w**2. What is q(z(g))?\nAnswer: 51*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*l = 25, 5*s + 0*l - l - 30 = 0. Suppose d - 8 = -s. Find the second derivative of -49*m**d + 14*m + 28*m**3 + 27*m**3 wrt m.\nAnswer: 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61\/5 + -107\/10. Factor 3*h + 3\/2 + d*h**2.\nAnswer: 3*(h + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 86951846?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/6)\/((-8)\/(-12)). Let a be ((10\/(-15))\/(-1))\/(s\/(-12)). Suppose 0*w = -a*w + 32. Solve 3*r + 3*l = 0, -w*r - 5*l + 1 - 2 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.14, -1, 1\/9, -2\/7, 0?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**3 + 9135*r**2 - 6559800*r + 1012143500 = 0. Calculate r.\nAnswer: -2407, 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123 - 123 + 288*o**2.\nAnswer: 288*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.66647 - -0.66589306. Round l to 5 decimal places.\nAnswer: -0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17917530 is divided by 16714.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*n + 4*q - 39, -2*n - 7 = q. Let l be (n + 11 - 26) + (-2)\/(-1). Put l, 3, 1 in descending order.\nAnswer: 3, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**15*v)*v*v**(-16))\/(((v\/v**(-25))\/v)\/v**4) assuming v is positive.\nAnswer: v**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*a**3*n - 5159*a**3*t - 2*a**2*n*t - 131*a**2*t + 352*a*n*t wrt n?\nAnswer: 8*a**3 - 2*a**2*t + 352*a*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19321, -18668, -18043, -17452, -16901?\nAnswer: -16396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 6*f - 276. Let l be (0 + f)*(24 - 1). Let t = 667 - l. Round t to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -132.9414 and -0.5?\nAnswer: 66.4707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 312 plus -274450?\nAnswer: -274138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/((-20)\/(-8)) + -1. Which is greater: o or 4\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1544 + 655. List the prime factors of t.\nAnswer: 3, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**3 + 1170*h**2 - 48852*h + 136080 = 0. What is h?\nAnswer: 3, 42, 540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 1, 3, -162, 21, 5 in ascending order.\nAnswer: -162, 1, 3, 5, 21, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 2 = 4*n. Let w(j) = -j**2 + 9*j - 27. Let y be w(5). Let b(x) = -43*x - 285. Let m be b(y). Solve -d + 4 = 4*p, d = -n*d - 3*p + m for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*k**4 - 38529*k**2*m - 48*k*m + 7596*k wrt k?\nAnswer: -144*k**2 - 77058*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 0*i**3 + 1\/12*i**4 - 1\/120*i**6 - 1\/30*i**5 + 0 + 2*i**2 + 0*i. Let o be v(-3). Solve -o*s + 27 = 4*m, -m = 4*m - 3*s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.19 - -3.81. Let s = 0.1 + -1.1. Sort q, s, 1\/2 in descending order.\nAnswer: q, 1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 6*m + 2*m = 0. Suppose -8 = -d + r, m = -5*d + 10*d - r - 24. Put -4, -1, d, 3 in increasing order.\nAnswer: -4, -1, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -390932 + 146.\nAnswer: -390786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**(-29))\/p**(-2\/43))\/(p*p\/(p\/p**(-2\/3)*p)*p*p**(-1\/15)\/p) assuming p is positive.\nAnswer: p**(20498\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - -3*sqrt(156)*3) + (sqrt(156) + -4*sqrt(156))*-5)\/((sqrt(180)\/(sqrt(20) + sqrt(5)) - sqrt(36))\/(-2*sqrt(432))).\nAnswer: 900*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 276 and 62652?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + (sqrt(24) - (sqrt(600) + sqrt(600) + -2*sqrt(600))))\/(sqrt(968) + sqrt(968) + sqrt(968) + (-1*sqrt(968) - sqrt(968)))*2.\nAnswer: 4*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1832, -3647, -5462, -7277?\n\"Answer: -1815*v - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -430 + 433. Suppose -2 = 3*w - 5. What is the smallest common multiple of w and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/576 and 49\/60.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -487 - -511. Suppose 36*p = 84 + u. Solve 5*w = -3*v - 9, p*v - 5*v + 4*w + 16 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -96, -2867, 0, -8 in descending order.\nAnswer: 1, 0, -8, -96, -2867","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 307314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/6)\/(8\/12*(-5)\/(-5)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(5\/(-2521)) - (-2)\/(-10). Let l be g - (-4 - (-1 + -3)). Suppose 7*c + 5*c - l = 0. What is the remainder when c is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 q when three letters picked without replacement from {t: 3, i: 3, q: 4, d: 1, o: 7}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 not equal to -1798?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 92\/14 + (-8)\/14. Let v(y) = -y**3 + 7*y**2 - 8*y + 8. Let i be v(u). Which is the biggest value? (a) i (b) 2\/9 (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*k + 509 = 0. Let u = 3564\/7 + k. Let q = -0.8 - -0.4. Which is the closest to 1\/2? (a) u (b) 3\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 150291980752672 and -4?\nAnswer: 150291980752676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + x + 25 = 5*x, x = -5*k + 19. Suppose -5*m = a - 9370, -5*m + 3*m + k*a + 3731 = 0. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 388, -6, -134 in decreasing order.\nAnswer: 388, 4, 3, -6, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -93, -8, 9, 21, 4 in increasing order.\nAnswer: -93, -8, 4, 9, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 4. Suppose -5*t - 4*v = -16, v - 11 = -t - j*t. Suppose 3*a - 4*x - 58 = 0, -t*a - x = -26 - 26. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 - 91 - (-17 - 11)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 26 = 14. Let o be (-24)\/(-14) + a\/(-28). Solve o = g + 6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 683\/5 + -4789\/35. Let q = -41\/280 + v. What is the nearest to -3 in -3\/5, q, 1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((10\/25)\/(21\/(-175)))\/(2\/6). Let g(b) = -b**2 - 19*b - 16. Give g(y).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 4\/7 of a week?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.028385 to 2 dps.\nAnswer: -2.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1956 and 307581?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19725509*q**3*s**3 + q**3*s - 2*q**2*s**2 + 2*q**2*s - 205*q**2 - 2*q*s**3 - 298*q*s wrt q?\nAnswer: -118353054*s**3 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -193891?\nAnswer: -2\/193891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -100001 (base 2) to base 12\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*g**2 + 15*g**2 + 7*g**3)*(-3*g**2 + 2*g**2 - g**2) + (-2*g**2 - 2*g**2 + 2*g**2)*(3*g**3 + g**3 - 2*g**3).\nAnswer: -18*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + o + 1. Let l be s(-2). Let u = 1 - l. Which is smaller: -3 or u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -7222*m**2 - m - 2. Let z be (-25)\/(-4) - 2\/8. Let f be j(z). What is f rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 220\/6*(-3)\/(-4) and ((-18)\/32)\/((-1)\/(-6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -61.99999959 + 62. Round b to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4715179211.\nAnswer: 17, 41, 397939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*d**3*g**3 + 52*d**3*g**2*y**3 + d**2*g**2*y**3 + 3*d**2*g**2*y - 687*d**2*y**3 + d*g**3*y**3 wrt d.\nAnswer: 30*g**3 + 312*g**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 7*a - 17. Let h = 9 - 21. Does 34 divide l(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 1900299363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -1. Suppose 0 = w*d - 7 - 1. Solve -d*a + 15 = 3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154064 - 154478 = -3*k. Calculate the highest common divisor of 6716 and k.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 0) + (-39 - (33 + -50) - (-9 + 0))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 10*l - 45. Let v be y(9). Factor -13*d**3 - 74*d**2 - 5*d**4 + 17*d - 36*d**2 - 27*d**3 - 137*d - v.\nAnswer: -5*(d + 1)**2*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*j = -3 - 2, 5*d = 2*j + 22. Let k(o) = o**2 - 5*o**2 - 5*o - 3 + 3*o**2. Let x be k(-4). Solve -5*z + v = -6, -25 + x = -d*z - 4*v for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) - sqrt(105)\/sqrt(343))\/(sqrt(5) - 5*sqrt(5)*4))**2 + (sqrt(480)*-3)\/((sqrt(10) + sqrt(50)\/sqrt(5))*-1).\nAnswer: 108\/17689 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/11 in 1, -2, -5109, 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5 + 7*p**3 + 6*p**2 + p - 4*p - 8*p**3. What is the smallest common multiple of x(5) and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 402, 805, 1208?\nAnswer: 1611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3629847 is divided by 2374.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4\/5, -2, 0.017231?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3, -4, -0.4, -3\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/336 and -11\/20.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*v + 4358, 14*v = -g + 9*v + 1457. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 13*i**3 - 8*i**2 - 11*i - 9. Let c(y) = -y**3 + 4*y**2 + y + 1. Let o(p) = -2*c(p) - x(p). Let j(z) = 6*z**3 - 5*z - 4. What is 7*j(s) + 4*o(s)?\nAnswer: -2*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 4075116?\nAnswer: -5\/4075116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 - 9a?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 45, 38, 27, 12?\n\"Answer: -2*v**2 - v + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 467130524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 44*w**3 + 10*w**2 + 10*w + 10. Let h(f) = -31*f**3 - 7*f**2 - 7*f - 7. Let s(m) = 7*h(m) + 5*x(m). Determine s(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2055 + -18497\/9. Suppose -4*z - 2*m = -5 + 3, -5 = 5*z + 5*m. Sort 9, w, z, -3.\nAnswer: -3, w, z, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1db2 + -378b?\nAnswer: -19d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1637897 and 23386132?\nAnswer: 10847","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -7*k**3 - 279*k**2 + 41*k + 35. Calculate m(-40).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 9441.87 to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*m**4 - 3*m**3*v + 57*m*v + v wrt m?\nAnswer: 96*m**2 - 18*m*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 - -66. What is the smallest common multiple of a and 264\/(-110)*3\/(-2)*15?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbb when three letters picked without replacement from bbzzz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/15 (b) -1 (c) 111 (d) -3481\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*s + 0*s**3 + 10*s + 12*s**2 - s**3 in the form k + i*s**2 + w*s + o*s**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63483.53 centuries to years.\nAnswer: 6348353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 7 + 5 = 0. Suppose 2*f + 0*f = z. Let v(h) = 3*h - 3. Let x be v(f). Solve 6 = -x*m - 9 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -4 - 1) + (14 - (-12 + 26)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 238125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 11 + 4)*(1 + 0 + 0)*(0*j + 0*j - 2*j**2).\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clap when four letters picked without replacement from {c: 1, a: 2, d: 2, o: 2, p: 4, l: 1}?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p + 2*p + 0*p)*(-2 + 2 + p**2) - 4 + 4 + 5*p**3 in the form m*p + h + g*p**3 + r*p**2 and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -g + 3. Let p be -2*(g + -1 + 1). Suppose -2*y + 3*v = -p*v - 26, -2*y = -v - 34. Does 18 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**4 + 468*q**3 + 213958*q**2 - 28236312*q - 7280383112 = 0.\nAnswer: -194, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -151 - -158. What is the highest common factor of 7 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 324 = -0*j. Let l = -178 - -179. Let t be (l\/(-3))\/(6\/j). Solve 2*m = t + 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54243*f**5 - 40*f**4*l - 2*f*l + 325203*f wrt f?\nAnswer: -1084860*f**3 - 480*f**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 4:52 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12397654?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5921 a factor of 1283433902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**5\/60 - 5*i**4\/24 + 2*i**3\/3 + 3*i**2 + 3. Give o(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-five quarters of a millennium?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**3\/13 + 1370*x**2\/13 - 4124*x\/13 + 2752\/13 = 0.\nAnswer: -688, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 23 (b) -2\/5 (c) -105 (d) 2 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 86*v - 12. Let r be b(5). Suppose 5*h = -53 + r. What is the tens digit of 1\/(3\/9) + h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (0 - (19 + 1))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j = 5*j + 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 9*c - 60. Let u(x) = x - 6. Suppose -246*m = -111*m + 2835. Calculate m*u(h) + 2*i(h).\nAnswer: -3*h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 9 + (-11 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001111000 (base 2) in base 16?\nAnswer: -278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -393*l**3 - 45*l**2 - 3 wrt l.\nAnswer: -2358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 + -22. Suppose 25 = 4*q + q. Find the second derivative of k*a**2 - 2*a**2 - 7*a - q*a**2 wrt a.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29686 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1300 rounded to the nearest 10?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3680 = -15*b - 14*b + 21544. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356866601 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 27390835 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1064767 = 2129535\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1128.9 - -1210. What is j rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -259, -3\/11, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k + 2. Let m be t(3). Suppose 3*y + 2*w - 7 = 0, 4*y - 5*w + 18 = -m. What is the units digit of -1 - -5*(0 - y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**3\/6 + i**2\/2 - 6*i. Let d(r) = r**2 - 3*r - 5. Let z(h) = -d(h) + 5*g(h). What is the units digit of z(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4718 is divided by 1377?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/(-27)*-3*(65 + -8) is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(875) + (-4*(sqrt(875) - 2*sqrt(875) - sqrt(875)) - sqrt(875)) + 2*1*sqrt(875))\/(-6*sqrt(980)*4))**2.\nAnswer: 625\/4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74 or 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 80 - 56. Let t be (16\/(-6))\/(5\/30). Let s = t - -21. Solve 5*m - 10 = s*o, 0*o + 4*o = -4*m - q for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 46199*s - 39986?\nAnswer: 46199","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -15.5. Let s = 0.292 + -0.792. Which is the third smallest value? (a) -0.3 (b) -1 (c) s (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 16, 10, 6, 4?\n\"Answer: g**2 - 9*g + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245 - 1133*d - 56*d**3 + 57*d**3 + 246.\nAnswer: d**3 - 1133*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-4322)\/(-6483))\/(-5*(-1)\/(1290\/(-8)))\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of c**4\/12 - 7*c**3\/6 - 15*c**2\/2 - 2*c. Let v be b(8). Put 4\/5, v, -2\/11 in descending order.\nAnswer: 4\/5, -2\/11, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, l: 10}. Give prob of picking 1 c and 3 l.\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4 = 4*t, 3*q - 3*t = 2*q + 9. Let r be 3*(1 - 8\/6). Put r, -3\/2, q in decreasing order.\nAnswer: q, r, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77387 divided by -19.\nAnswer: 4073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cg when two letters picked without replacement from lcgak.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32195 is divided by 3070.\nAnswer: 1495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4020, -4012, -4004, -3996?\n\"Answer: 8*l - 4028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -4 in descending order.\nAnswer: 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -10c?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 72.27529 nanometers?\nAnswer: 0.000007227529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 10.9. Let r = -1.1 + g. Let m be -29 + 45 + -13 + 3\/(-2). Sort m, 4\/13, r in descending order.\nAnswer: m, r, 4\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -3, -20, 20742?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -28 and 726948?\nAnswer: 726976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4 + 0*z**2 - z**2 + 3*z + 4*z**2 - 2*z**2. Suppose 15 = -4*o + 3*n, 3 = -2*o + 5*n - 8. Determine y(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**3 + 17*y**2 + 25*y + 33. What is k(-10)?\nAnswer: -517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 59400 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**2 - 153*u - 3. Calculate g(29).\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 4850*h**4 - 122865*h**3 + 735735*h**2 + 541645*h + 32955 = 0.\nAnswer: -3\/5, -13\/194, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**5\/80 + q**4\/2 + 8*q**3 - 13*q**2 - 2*q. Let w(y) be the first derivative of m(y). Factor w(n).\nAnswer: 3*(n + 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ndzzzgzzvvdnl. What is prob of picking 1 n, 1 z, and 1 l?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3894 divided by -124404.\nAnswer: 649\/20734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 129056143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(2\/(18\/3)). Factor -5*x**2 - 2 - 2 + 8*x - x**3 + 5*x**3 - h*x**3.\nAnswer: (x - 2)**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/5)\/((-56)\/420). Solve -2*o = -5*v + 16, -6*v + n*v + 12 = -2*o for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 19*y**2 - 17*y - 24. What is c(18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -6*(-4 + 2 + sqrt(112) + 1 + sqrt(112) - (4*(0 + sqrt(112) + sqrt(112)) - (sqrt(112) + (4 + sqrt(112) + 1 - sqrt(112)) + sqrt(112)))))**2.\nAnswer: -5568*sqrt(7) + 65353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 24*u**2 - 4*u + 101. What is a(24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-5)*((-18)\/12)\/(-3)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a micrometer in nanometers?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9, -59, -135, -231, -341, -459, -579?\n\"Answer: x**3 - 19*x**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**2 - m**2 + m**2 + 6*m**2 + 2011*m - 7*m**2 as b*m + u + n*m**2 and give b.\nAnswer: 2011","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -4564 - -123242\/27. What is the common denominator of z and 59\/165?\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 110 (b) -185\/4 (c) -891\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.6884 + 0.3884. Sort b, -4\/13, -3 in decreasing order.\nAnswer: b, -4\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 5*g**2 - 7*g - 4. Let c be -1 + -3 + (-3 - -3). Let q be b(c). List the prime factors of 108\/(-3)*(-4)\/q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3*p, 4 = -2*p + 3*p + 3*g. Calculate the smallest common multiple of (8\/p)\/((-4)\/10) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 45 - a - 23)*(-2 - 2 + 6).\nAnswer: -2*a - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppampacpmpaammaaa. Give prob of picking 2 a.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddvvvdddvdvdd. What is prob of sequence dvvd?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 760.0461 + -760. Let j = 7.0539 + m. Which is the third biggest value? (a) -4 (b) j (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 3. Let y(g) = 35*g + 16*g - 29*g + 4 + 13*g - 6. List the prime factors of y(z).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 199*g**2 - 7535*g + 679. Give f(-51).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 0 (c) -13 (d) 4 (e) -5 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (0 - 26) + 60 + (70 - 127)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -32, -5, -0.1, -0.27?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 - -3)\/(3\/4). Sort -3, w, 2, 4 in descending order.\nAnswer: 4, 2, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3 = 1, -4*o = 3*w - 232. Let z = w + -64. Solve 4*k + z = 2*b, -k - 3*k + 3*b - 8 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/7 and -21 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*l + 83 - 7000 + 1664. What is the remainder when l is divided by (-1)\/4 - (-588)\/48?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -216, -432, -646, -858?\nAnswer: -1068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -b**3\/3 + 16*b**2 - 45*b + 3836. Give g(30).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32864 and 237?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 12.92. Let l = t - -0.14. Let j = l + -0.56. Sort j, -1, -0.2 in descending order.\nAnswer: -0.2, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*t**2 + 1 + (3 - 1 + 0)*(4*t**2 - 4*t**2 - 2*t**2) - 2 + 17 + 2*t**2 + 2*t + 20.\nAnswer: -4*t**2 + 2*t + 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 5*q**2 - 4*q - 1. Let j be v(5). Let a be (-18899993)\/j + (-1)\/(-3). Round a to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 39532, 5, 26, 1 in ascending order.\nAnswer: -2, 1, 5, 26, 39532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -306310 divided by 56?\nAnswer: -153155\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 12. Suppose 3 = 2*i + 5, r*a + 2*i = 0. Is (-1)\/(a\/(-74)*2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h + 52*h - 25734*h**2 - 41*h.\nAnswer: -25734*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83 + -82.8. Are -2 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 7:48 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(10)\/sqrt(2)) + sqrt(55)\/(sqrt(22)\/sqrt(2)).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 c when two letters picked without replacement from {m: 2, c: 11, i: 2}?\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/8, -0.059, 2\/27, -2, 0.06, -0.5?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(187))\/sqrt(11) - sqrt(17)) + -3 + -5 + (-2*sqrt(85)*-1)\/(sqrt(5) - (sqrt(45)\/(sqrt(27)\/sqrt(3)) - sqrt(5) - sqrt(5))))**2.\nAnswer: 32*sqrt(17) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 243186863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305*y + 5*s + 23 = 309*y, 3*s = 3*y - 21. Let w = 26 - -5. Calculate the remainder when w is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1835*k**2 + 853300*k - 11625 = 0.\nAnswer: 5\/367, 465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -70\/2469 and -61\/7932.\nAnswer: 6528036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x - 7. Let i be w(-6). Suppose 3*r - i - 4 = 0. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-6291))\/(22\/6). Let x = o + -258851\/46134. Calculate the common denominator of -83\/14 and x.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 - (-1 - 2 - -3). Let i = c - 2. Suppose -m + 10 = -5*v, i*v + 50 = 5*m + 6*v. What is the least common multiple of m and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58816\/(-1838) + (2 - (2 + 5)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*b + (98 - 40 - 16)*(-b + 8*b - b) - 5*b + 0*b + 4*b.\nAnswer: 249*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**3 - 1327*v**2 + 3340*v + 6664. Determine w(-666).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand b - 17*b - b - 2*b + 5 - 5 - 4*b + 4*b - b + (-1 + 3 - 4)*(0*b + 4*b - 2*b) - 5*b + 5*b - 2*b + 0*b - 3*b + 6*b.\nAnswer: -23*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 2, 3, 4423, -3.2406?\nAnswer: 4423","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 - 3093*s**2 - 98766*s.\nAnswer: 3*s*(s - 1062)*(s + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3349.2634 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 1:25 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, y: 3}. Give prob of sequence myy.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 2. Suppose -l = -2*a + 4. Solve a*t = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3038 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1177321, -1177304, -1177287, -1177270, -1177253, -1177236?\n\"Answer: 17*b - 1177338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100309891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8352\/223 or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3229*t = -3272*t. Does -2\/48887 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3080\/210)\/((-4)\/(-114)). Is 419 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.40277l to millilitres.\nAnswer: 2402.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**6\/120 - 2*l**5\/15 + 7*l**4\/24 + l**2. Let q be a(7). Let c(t) = t**3 + t**2 - t + 5. Give c(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84339 is divided by 14054?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0. Suppose z = -0*v + 3*v - 6. Suppose d = -2*d - 5*g - 6, 5*d + 3*g = 6. What is the nearest to 0 in d, v, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 24*x + 361. Suppose -96 = 27*c + 66. Let l be d(c). Calculate the greatest common divisor of 62 and l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5832182 and 4706?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -730, -2931, -6600, -11737, -18342, -26415, -35956?\nAnswer: -46965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7339 = 6*v - 10499. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -351*-79.9\nAnswer: 28044.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -91550 rounded to the nearest one thousand?\nAnswer: -92000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14027 is divided by 4664.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**5\/15 + g**4\/3 + 2*g**3\/3 - 516*g**2. Factor c(s).\nAnswer: 4*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 352\/9 + 2\/9*z**5 + 232\/9*z**3 - 64\/3*z - 256\/9*z**2 - 6*z**4 = 0.\nAnswer: -1, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -40*c**2 + 61*c + 16. Let s(i) = -37*i**2 + 60*i + 15. Let n(j) = -6*s(j) + 5*w(j). List the prime factors of n(8).\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 10:27 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r**4 - 4 + 4)*(3 + 1 - 3) - 129*r**4 + 5 + 3852*r**2 - 3852*r**2 to the form t*r**2 + i + a*r**3 + d*r**4 + c*r and give d.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/7 + 678*l\/7.\nAnswer: 3*l*(l + 226)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000521 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kz when two letters picked without replacement from kzeekkeekkkkk.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13.664319, -3, 3?\nAnswer: -13.664319","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -1, 6 in ascending order.\nAnswer: -3, -1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 397.4 rounded to the nearest 10?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r = 22*r - 70. Suppose r*s = 3*s. Find h, given that s + 8\/7*h**4 + 0*h - 6\/7*h**5 + 2\/7*h**3 - 4\/7*h**2 = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 14 = -c, 5*x - 5*c + 2*c = 14. What is the least common multiple of x and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a day in minutes?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-30) + -5*(-1)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*f + 5*m = -35*f + 8 + 52, -3*m = -12 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of o**5\/20 + o**4\/3 - 7*o**3\/6 - 2*o**2 - 5*o. Give b(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/9 and -19\/42753554.\nAnswer: 384781986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 104 or 18\/1091?\nAnswer: 18\/1091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 plus -45219.13?\nAnswer: -45219.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149, 569, 1257, 2213, 3437, 4929, 6689?\nAnswer: 8717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6517924520?\nAnswer: 2, 5, 43, 313, 12107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 0.6, 2\/191 in ascending order.\nAnswer: 2\/191, 1\/3, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i + 2*i + 3*i = -8*i. Solve 28 = 3*b + 5*c, -c + 10 = 5*b - i*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -447409\/4 - -418328007\/3740. Let z be (21\/(-595))\/((-6)\/(-4)). Let p = z - a. Are p and 1\/8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/44)\/(1\/134) + 108\/(-594)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u**2 - 7551*u - 3856. Let b(q) = -7*q**2 + 15102*q + 7885. Let y(t) = -3*b(t) - 5*i(t). What is the derivative of y(g) wrt g?\nAnswer: 2*g - 7551","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 918459965.\nAnswer: 5, 183691993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 875*t - 489*t - 31*t + 952*t.\nAnswer: 1307*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -27396 + -2?\nAnswer: -27398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -544 - 4?\nAnswer: -550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50224 - 27.\nAnswer: 50197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/20 (b) 2\/9 (c) 4 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7553096 to the power of 1\/2, to the nearest integer?\nAnswer: 2748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1068, -8494, -28650, -67902, -132616, -229158, -363894?\nAnswer: -543190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/8*g**2 - 3\/8*g - 9\/4.\nAnswer: 3*(g - 3)*(g + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5652453 divided by -2.\nAnswer: -5652453\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.88 + 0.12. Let b = 3 - g. Let h = 8.1 + b. Round h to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*u = -b + 5, -u - 4*b - 2 = 0. Suppose 5*z - 45 = 5*v, 5*z - 16 = 2*v + 14. Let n(s) = z + 2*s - u - 3. What is n(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 0*j + 35 + 7\/12*j**4 + 0*j**3 + 3*j**2 + 0*j**5 - 7\/8*j**6. What is the second derivative of r(f) wrt f?\nAnswer: -630*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i. Let x(d) = -268*d**2. Determine x(h(p)).\nAnswer: -1072*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-2*4\/(-40)). Suppose -l*u = -373 + 98. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20040 or 20052?\nAnswer: 20040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/(-27))\/(13\/(468\/152) - 4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*5.325147.\nAnswer: -21.300588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 139 - -8. Suppose 7*b = z - 392. Let l(v) = 135*v**2 - 145*v - 180. Let h(t) = -15*t**2 + 16*t + 20. Let f(u) = b*h(u) - 4*l(u). Solve f(w) = 0.\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p**4)\/p**(-7))\/(p**(-1\/3)\/p*p*p\/p**3))**(2\/9))**(-30) assuming p is positive.\nAnswer: p**(-860\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (66\/4)\/(15\/40). Let j be (-26)\/(-6) + (-2)\/6. Suppose -4*h + u = j. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*h + 20, -5*x + x - 2*h + 8 = 0. Let j = 4 + 1. Suppose q + 3*q - j*y - 30 = x, 31 = 5*q - 3*y. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 475, 476, 477, 478, 479, 480?\nAnswer: 481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 764 and 23875.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1214898?\nAnswer: 2, 3, 19, 10657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.57 + 4.03. Let x = -0.6 + k. Which is the third biggest value? (a) -4 (b) -3\/4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a + 3. Let v be (-111)\/(-15) + (-6)\/(-10). Let w be ((-2)\/4)\/((-1)\/v). Calculate i(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 377 - -73. What is c rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1845*h - 213*h**2 + 1860*h + 214*h**2.\nAnswer: h**2 + 15*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) -2\/9 (c) -42.6 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 8*p**2 + 2*p. Let n(d) = -3*d + 11. Suppose -26*m - 2*b + 20 = -23*m, -4*b = -5*m + 4. Let k be n(m). Give y(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**2*o + 546*f**2 + 7*f*o + 55*f - 5*o wrt f?\nAnswer: 4*o + 1092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -406 divided by 2.\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g + 2 + 3*g - g)*(-21*g + 21*g - 12*g**2) to the form d*g**3 + t*g + r*g**2 + c and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 451, 760, 1069, 1378?\nAnswer: 1687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2749173 and 510880.\nAnswer: 3193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 2:05 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 2:39 AM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 8*w = -19176. Let u be 5*(36 - -2)*19. Let f = u - w. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 2*n = 10, 5*h + 4*n - 23 - 15 = -19 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1494.982 years in millennia?\nAnswer: 1.494982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 11. Let y be (-2)\/28*-2*j. Suppose 0 = 3*w - 5*x - 1 + 9, -x - 16 = -5*w. Sort y, 3, w.\nAnswer: y, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -93, -114, -135, -156, -177, -198?\n\"Answer: -21*d - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.012 times 0.22636\nAnswer: -0.22907632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*o = -1. Let j(l) be the third derivative of 1\/60*l**5 + 0*l - 1\/24*l**4 + 1\/6*l**3 + 0 - 2*l**2 - 1\/20*l**6. Calculate j(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*o + 2*w = 99 - 11, -2*o - w = -1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 866*v - 718*v + 1494*v + 134644 = 0 for v.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(1144\/24)\/((-1)\/3). Suppose -g - 3*p + h = p, 0 = -3*g + p + 377. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15 and 4972.995.\nAnswer: 74594.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -52022 (b) 0 (c) -0.2 (d) 52 (e) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139289*p + 278569*p - 139282*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -242 (base 5) to base 9\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1394 divided by -1394.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + y - 3. Suppose -5 = 2*k + y. Let v be (-3 - k) + 0 + 9. Calculate the greatest common factor of v and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*p**2 + 116*p**2 - 55*p**2 + 0*p - p - 41 as a*p + b + u*p**2 and give b.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 + 191164*u + 191163.\nAnswer: (u + 1)*(u + 191163)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 93 in 9, -3, -40, 7, -0.2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -12, -1475 in descending order.\nAnswer: 4, -12, -1475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (8 - -8) + 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74 by 258.\nAnswer: -37\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 4:08 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -93.5 - -0.0696709?\nAnswer: -93.4303291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1480 and 4540537880?\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11 + 1\/(-5 - -4). Let x be (-16)\/18*20\/(-80). Which is the third biggest value? (a) 3 (b) j (c) x (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 - 16 + 32 + 315)*(-2*z - z + 6*z).\nAnswer: 1125*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*j = 1, -5*y - 4*j - 10 = 14. Let q(k) = -6*k - 1. Let l(g) = 7*g. Let d(n) = y*q(n) - 5*l(n). Find the first derivative of d(h) wrt h.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3055 + 43?\nAnswer: 3142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 172146143*l. Let h(a) = -5*a**2. Give t(h(u)).\nAnswer: -860730715*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2e0 (base 16) to base 4\nAnswer: -23200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*h - 126. Let f = -2 + h. Let k = 45 - f. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*v - 49 = 3*k, 3*v = -2*k + 18. Let l = v - 6. What is the second derivative of 2*o**l - 2*o - 5*o**2 + 0*o wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 169*r - 11100 + 11100 + 263*r as j*r + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d + d + 0*d)*(-66*d + 138*d - 5 + 186*d) to the form z*d**2 + f + q*d and give z.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*z - 67 = -18, -23 = -4*s + 5*z. Calculate the highest common divisor of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(684))*-6.\nAnswer: -36*sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -539, -548, -561, -584, -623, -684, -773, -896?\n\"Answer: -h**3 + 4*h**2 - 14*h - 528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 9 + 0)*(0 + 0 - 6)*(2 + 0 - 1)*(-2 + 3*p + 2) to r + h*p and give h.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1884 divided by 44252?\nAnswer: -471\/11063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(2\/13)*b)\/b)**(1\/6))**(-50)*b*b\/((b**3*b)\/b)*b**8*(b**(-2\/7))**(-2\/111) assuming b is positive.\nAnswer: b**(-466\/10101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 740 is divided by 213?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -19*d - 1. Let v(q) = 15*q. Calculate v(p(a)).\nAnswer: -285*a - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62143, -62337, -62531?\nAnswer: -62725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 171811 to the power of 1\/2, to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 156, -4, -5, -2\/9, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qnr when three letters picked without replacement from qiiennlierilninerni?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 3*b - 1972 = -2*v, -4*v + 3*b + 3969 = 0. Suppose v = 3*g - 54. Suppose -2*i - g + 1144 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1)*j**3\/j*((j**(-1)*j)\/j*j*j)**21*(j**(-1\/4)*j)**(-2\/5)\/((j*j**6)\/j*j**(-1\/4)\/j) assuming j is positive.\nAnswer: j**(339\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3623322 divided by 2?\nAnswer: -1811661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5*0.6088\nAnswer: 3.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 23162.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002903212021 to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12023001 + 310?\nAnswer: -12022251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 0, -5, 30 in increasing order.\nAnswer: -5, -4, -1, 0, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -5*w - 81. Let a be c(-15). Let l(d) = -2*d**3 - 9*d**2 - 5*d - 11. Is l(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/4 (b) 2\/19 (c) 0.0598\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + q + 690 = 0, 2*q - 1133 = 5*c - 2*q. Let u = 237 + c. What is the highest common divisor of 344 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -8) + -31 + 40?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2871 + -2912. Is k < -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 26551 + -1 - (-2 + (-21 - -32)). Suppose 20 = 5*g, 5*g = 2*b + 3*b + 249225. Let p = b + l. Round p to the nearest 1000.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 4356.\nAnswer: 4356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*f**4 + 266*f**3 + 4859*f**2 - f wrt f.\nAnswer: -168*f + 1596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9336 - -7?\nAnswer: -9329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-105)\/(-1))\/7*2\/(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -71, -135, -153, -83, 117, 489, 1075?\nAnswer: 1917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*z**4\/17 - 231624*z**3\/17 - 2149540*z**2\/17 - 469096*z\/17 - 25902\/17 = 0.\nAnswer: -9, -1\/9, 1439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 3.2, 10, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/8 + 101*u**2\/8 - 779*u\/4.\nAnswer: -u*(u - 82)*(u - 19)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-64)\/(-160))\/(1\/10 + 0). Solve -p = -0*c - u*c - 25, 0 = -2*c - 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-4 + 1 - 0) - (50 + -138 + 30).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -30484 divided by -7621\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -11*w**4 - 6*w**3 + 39. Find the third derivative of i(y) wrt y.\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - m**2 + 2 - 1 + (3 + m - 3)*(2 - m - 2).\nAnswer: -2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11247, 11218, 11187, 11154?\n\"Answer: -c**2 - 26*c + 11274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -804 in ascending order.\nAnswer: -804, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x = 9*x + 120 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y - 2*y**2 - 879600 - 3*y + 879600.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -583 + 1700\/3. Let j = 16 + q. What is the third smallest value in -4\/3, 3\/11, j?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*p - 864 = -59*p. What is the greatest common divisor of 45 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*v - 561*v - 1975 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.51 - -0.88. Let v = h - 0.37. Let p = -28.5 - -29. What is the nearest to 0 in v, p, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**3 + 2*y**2 - 2*y - 1. Let j(k) = -7*k - 114. Let u be j(-16). What is l(u)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4 = -5*x. Is x <= 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 22. Suppose -l = -y*l + 28. Calculate the highest common divisor of 84 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166 = 11*z + 38 - 59 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*v + a, -v - 3*a = -7 - 1. Factor 2*i**3 + i**2 + 0*i**3 + v*i - 5*i**2.\nAnswer: 2*i*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 83*x + 181. Let s be n(-2). Suppose 5*w - 4*w = 6. Calculate the highest common factor of s and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 495354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.9553 + 0.0447. Which is the third biggest value? (a) 2\/21 (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n. Let k be l(-5). Let u(v) = v**3 - v**2 - 2*v + 1. Let a(d) = -2*d**3 + d**2 + 2*d - 2. Let z(j) = 2*a(j) + 3*u(j). Is 21 a factor of z(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 2. Let w = y - 5. Is w greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.02 (b) 0.3 (c) -818864\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, t: 2, c: 1, o: 3, z: 1}. Give prob of picking 1 o and 1 t.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + y = 4, 9*g - y + 4 = 7*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51308 and 1031748?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -643 + 1112. Let z = -291 + v. Round z to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 68.9 and 4?\nAnswer: 275.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -6*l + 3*l + 6, 5*a = 2*l - 1. Suppose 3*k - 4*c = -11, l*k + c - 4 = 2*c. Solve -4*w**4 - 15*w**3 + 3*w - 16*w**2 + 63*w**3 - 33*w**k + 2 = 0.\nAnswer: -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-7 - -3) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -7*j**2 - 9*j - 6. Let w be m(-2). Let l be (-6)\/(-16) - (1034\/w - -2). Calculate the highest common divisor of 21 and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 67, -13, -147, -335?\n\"Answer: -27*s**2 + s + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305*j + 108 = 314*j. Let w(g) = g**2 - 13*g + 17. Give w(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -189555798 or -189555799?\nAnswer: -189555798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*t - 22*t + 2*t.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (6 - (-17 + 6 - -3) - 1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-36)*((-2685)\/(-105) + -29)?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*y - 1\/5*y**2 - 180.\nAnswer: -(y + 30)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/13, -98, 1880\/37?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l + 10. Let f be x(-4). Let r be f\/6 + 42\/18. Solve -r - 10 = -5*h - 4*o, o = -3*h + 10 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -1. Let j(c) = -7*c - 2. Let v be j(-1). Suppose 3*h = -v + 11. Solve d*g + 8 = -h*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 - -40202?\nAnswer: 40232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 12:41 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 8:05 PM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 989.55+1\nAnswer: 990.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/4 (b) -20 (c) 2 (d) -75\/4 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 8*z + 10. Let t be n(7). Let j = t - 0. Let r be 0 - -1 - (j + 10998). What is r rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x - 4. Let w be h(-31). Calculate the highest common divisor of w and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*q**3 + q**3 + 0*q**3)*(-2 + 6 - 2).\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83479676?\nAnswer: 2, 7, 2981417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9409*s**3 - 6*s**2 - 5*s**2 + 11*s**2.\nAnswer: 9409*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9685 is divided by 390?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10514 - 3?\nAnswer: -10520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 80*r - 2. Let q(y) = 4879*y - 123. What is -2*q(o) + 123*x(o)?\nAnswer: 82*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 8:55 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 + 408107?\nAnswer: 408162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*q**3 + 3*q**3 - 5*q**3 - 20*q**3 + 5*q**3.\nAnswer: -29*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1263 - 1236. Solve -t = -5*i + 14*f - 15*f, -f = -i + 3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d8ca2 (base 14) to base 16.\nAnswer: 18680e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(891) + 2*sqrt(891) + sqrt(891) + sqrt(891) - (-1 + sqrt(1584)))*6)**2.\nAnswer: 3960*sqrt(11) + 431344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*j + 199*j - 210 = 404*j for j.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -363*a**4 - 193347*a**3 - 1266222*a**2 + 479628*a - 44184 = 0. Calculate a.\nAnswer: -526, -7, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/70 - (-164)\/14. Let m = j - 7. Solve -4*n + 4*y = 0, -n = n + m*y for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28044, -28048, -28054, -28062, -28072, -28084?\nAnswer: -28098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/11 - o**2\/11 - 85*o\/11 - 25.\nAnswer: (o - 11)*(o + 5)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/((-25)\/180)*6\/12. Let i be (-3*(-3)\/l)\/((-2)\/12). Solve 3*r + 0*z = -i*z + 18, r - 5*z + 6 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 0)\/((-1)\/3). Suppose -2*v - 2 = 3*r - 10, g*v - 3*r = 42. Let m be (-17 - (15 + -27))\/(-1). What is the greatest common factor of m and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2, 5, -6, -37, -94, -183?\n\"Answer: -l**3 - l**2 + 13*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/809996 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 34 = 3*o - 23*o. Which is smaller: 4\/461 or o?\nAnswer: 4\/461","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113782123, 113782125, 113782127?\nAnswer: 113782129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**3 + 2*d**2 + 3*d - 3. Let n be 0\/2 + 4 + -2. Give y(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-6))**3)**(-4) assuming s is positive.\nAnswer: s**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**4\/7 + 128832*g**3\/7 + 644141*g**2\/7 + 772962*g\/7 = 0.\nAnswer: -128827, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**2\/5 + 2852308*z\/5 + 154036296\/5 = 0 for z.\nAnswer: -54, 713131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2131 divided by 3\nAnswer: -2131\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 397607387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -93 - -112. Is 19 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 6*y - y - 25, 2*r - 4*y - 24 = 0. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**5 + 366448*y**4 + 8394223908*y**3 + 67108724296*y**2 - 495057695696*y + 654520839648 = 0. What is y?\nAnswer: -45802, -13, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 20 (c) -2\/5 (d) 46297\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 74*c**2 - 144*c + 3. Let h be t(-72). Solve 4*v + h = 3*k, -1 = v + 6*k - 7*k for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373878165?\nAnswer: 3, 5, 53, 79, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-453)\/(-9) + -2 - (-90)\/(-270). Solve j*y = 12*y + 180 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.5, 15, 1, 3\/4, -11.\nAnswer: -11, 0.2, 0.5, 3\/4, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 + 128 = 2*d. Let u be 2\/12*2 - (-28)\/6. Suppose f + 2*i = 49, -2*f + u*i = -58 - 22. What is the highest common factor of f and d?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 12 (c) 11 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/13, -2\/5, 1\/7?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -x**4\/4 - 4*x**3 - 14. Find the third derivative of b(v) wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 2)*(7*q**3 - 1829*q**2 + 918*q**2 + 913*q**2)*(q + 1 - 1) in the form d*q**3 + k + m*q**2 + a*q + w*q**4 and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60904 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9000531783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 15. Suppose 1220 = z*m - 1545. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -1.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3473\/598)\/(1167\/30342).\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/9 + (-2540)\/(-6). Suppose 0 = 5*t - 1406 - v. Let r = t - 2558\/7. Which is the third smallest value? (a) r (b) 3\/2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/4 - 117*y**2\/4 + 391*y\/2 - 330.\nAnswer: (y - 110)*(y - 4)*(y - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15\/11 in -2, 1, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2454, 4934, 7416, 9900, 12386, 14874?\nAnswer: 17364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 149 - 165. Let d be (17817\/39 - 2) + k\/(-104). Which is smaller: d or 454?\nAnswer: 454","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 316 - 788 + 518 - 5*g**3 + 3*g**3.\nAnswer: -2*g**3 + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 167\/1833 - 2\/141. Let m(z) = -19*z + 39. Suppose 4*v = 3*d + 17, v - d - 3*d - 14 = 0. Let g be m(v). Which is greater: i or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a**2 + 2*a**2 - 7*a**2)*(14 - 14 - a + (4 - 4 - 2*a)*(0 - 3 + 5) - 2*a - 2 + 2 - a - 1 + 1) to j + g*a**3 + m*a**2 + p*a and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36125212.\nAnswer: 2, 9031303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 520?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 less than 50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -339*m**2 - 3334*m**4 + 236*m**2 + 90*m**2 + 564*m**2 wrt m.\nAnswer: -80016*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 v when two letters picked without replacement from lzcvlcmclll?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/21)\/(-19 + (-2768)\/(-144)).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + -20 + 5 + -2 + (138 - 130)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1181, 1178, 1175, 1172, 1169?\n\"Answer: -3*p + 1184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3138931*g**4 + 4*g**3 - 366*g**2 - 4939*g + 2?\nAnswer: 75334344*g + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 6) to base 13.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 19\/4 of a millisecond?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 9*w - 19. Let o be l(7). Which is the third biggest value? (a) -8 (b) 3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*o = -o + 4, 0 = -3*m + 2*o - 12. What is the third smallest value in m, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3*y**4 - 9*y**3 - 54*y**2 = 0.\nAnswer: -3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47479*c**3 + 47552*c**3 - 95043*c**3.\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/39, 0.16, 5 in ascending order.\nAnswer: 2\/39, 0.16, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 3:29 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1310000 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36252285 and 2280?\nAnswer: 290018280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, p: 1, s: 2, g: 3, a: 2, c: 4}. What is prob of picking 1 a, 1 o, and 2 g?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 31 = 4*d, -26*g + 22*g + 20 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*s = -0*s + 200, -4*p = 2*s + 850. Let t = 922 + p. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 7, -5, -1165 in decreasing order.\nAnswer: 7, 1, -1, -5, -1165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u. Let l(b) be the first derivative of -210*b**3 + 1460. Determine l(k(h)).\nAnswer: -630*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (384\/224)\/((-4)\/(-14)). What is the third derivative of -5*w**k - 5*w**6 - 2*w**5 + 16565*w**2 - 16544*w**2 wrt w?\nAnswer: -1200*w**3 - 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = 106*q + 6. Solve 3*v + 3*l - 24 = q, v - 4*v + l = -12 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/30*15\/(-20)*(-4)\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3972, -8392, -12832, -17298, -21796, -26332, -30912, -35542?\n\"Answer: -a**3 - 4*a**2 - 4401*a + 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11925 - 424?\nAnswer: -12249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -35.8. What is o rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 h, and 1 a when three letters picked without replacement from {c: 2, i: 8, a: 4, h: 3}.\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = x - 5, 554 = -3*r + 2*x + 547 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (93*b**3 - 22*b**3 - 8*b**3)*(148 - 148 + 909*b - 177*b) to the form z*b**4 + r*b + h*b**3 + f*b**2 + n and give z.\nAnswer: 46116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -477 - -467. Which is smaller: -330\/37 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6 + -2.4. Suppose 3*j - 18 = -0. Let d be 4\/j - (-1)\/3. What is the closest to d in -2\/9, a, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1140)\/(-150) - (-8)\/(-1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1292715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -677 + 11?\nAnswer: -666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 220*s**2 - 14*s + 5. Let r(t) = 147*t**2 - 9*t + 3. Let l(y) = 8*r(y) - 5*v(y). Let k be l(-1). Is 1*k - (-4)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/2424 and 127\/5352.\nAnswer: 540552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2d224b - -16?\nAnswer: -2d2235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 10*d**2 - 14*d - 21. Let f = -42 - -33. Let k be y(f). Differentiate 2*j - k + 12*j - 5*j + 4 wrt j.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (31\/(-4))\/(158\/(-3160)). Solve -25*t - 6*t + f = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, j: 4, a: 3}. Give prob of picking 1 a and 3 w.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.108831241153 + -775.891163568847. Let s = -776 - w. Round s to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 4*y - 24, 4*j - 15*y - 36 = -10*y. Suppose -3*g = o + 4*o - 9205, -7364 = -j*o - g. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 1 = -3*v, 2*v = -4*r - 1 + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6642 is divided by 956.\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325*f - 754 - 546 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2033130 - 113?\nAnswer: -2033243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 4 - 4*n**2 - n**2 + 9*n + 5*n**2. Let v be s(8). Solve v*w + w = -15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*l - 5*h - 1267 = -25*l, -l + 5*h + 439 = 0. What is the remainder when l is divided by 56?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = 4*p - 5*v, 2*p - v = 89 - 23. Suppose 12 = -2*x - 5*f, 5*x - 2*f - 15 = 13. What is the greatest common factor of x and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53\/(15\/14 + (-312)\/546)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtn when three letters picked without replacement from {i: 1, n: 1, t: 1, d: 1, m: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -121, 19, 391, 1109, 2287, 4039, 6479, 9721?\n\"Answer: 19*t**3 + 2*t**2 + t - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 25. Solve 3*l = a*l - 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1428 is divided by 120.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2836729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0 = 8. Suppose -b - p*b + 114 = 0. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 14*a - 11. Let x be c(-15). Suppose 3*w + 15 = 0, -16 = -s + x*w - w. Which is greater: s or 14\/47?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1077\/46 + 47\/2. Let p be 4\/5*(-3)\/6. What is the second smallest value in p, -1, n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7843512034?\nAnswer: 2, 109, 35979413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 21 = 3*r, -8*t = -2*r + 163 - 183 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express i - 4*i - 6*i in the form b + h*i and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69396072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9498 = 3*n + 3*t, 30*t + 6330 = 2*n + 33*t. Is n a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -505453, -505460, -505467, -505474?\n\"Answer: -7*l - 505446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2274 + 4353. Does 63 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 84*a**2 - a + 100. Suppose 7*z + o = 2*z + 707, 2*z + 5*o = 269. What is the remainder when z is divided by u(84)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -2 - (3 - 2 - 7 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -1148, 2, 54.565?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -2, 21, -853 in ascending order.\nAnswer: -853, -2, -1, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + d + 8. Let w be u(0). Let q = w + -6. Solve -2*m - 4 = q*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 - 17049902727 + 17049902727 + 0*l**2 + 2*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 68*y + 364. Let b be c(-8). Let u be 66\/(-14) + b\/(-252). What is the second biggest value in 0.4, 1\/3, 3, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**3 + 3143*r + 2 + 2*r**2 - 2*r**2 - 3137*r + 0*r**2.\nAnswer: -r**3 + 6*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -78.233353 rounded to two decimal places?\nAnswer: -78.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1341 is divided by 417?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*o = -6. Suppose 0*w + 8 = o*w. Suppose 3*b + 2 + w = 0. Put 4, -1, b in increasing order.\nAnswer: b, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -39952, -39989, -40064, -40189, -40376, -40637, -40984, -41429?\n\"Answer: -2*x**3 - 7*x**2 - 2*x - 39941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/139275544 and -37\/232.\nAnswer: 4038990776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 11. Let w(k) = -9. Let j(t) = 5*c(t) + 6*w(t). Let g(q) = 4*q**2 - 2*q - 12. Let u(p) = g(p) + 5*j(p). Let x(m) = m**2 - m - 1. Give -u(y) + 2*x(y).\nAnswer: -2*y**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(-22))**(12\/11) assuming m is positive.\nAnswer: m**(288\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)*-4*5)\/(3*sqrt(588)).\nAnswer: -20*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) 0.02 (c) 2256 (d) -0.2 (e) 0 (f) -3 (g) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4\/87 + -194\/435. Which is greater: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -35, -2.68, -2\/117?\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5972*n - 177576 - 204632 = 0 for n.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-8) + (-5866)\/(-56). Let f = n + -18. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -315, -319, -323?\nAnswer: -327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 - (3 - (3 + 8))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(30)\/(sqrt(20)\/sqrt(2) + sqrt(10)) + sqrt(3)).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 105490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -4*x - 8, 5*q = 4*x - 5*x - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 37611, 37607, 37603, 37599?\n\"Answer: -4*q + 37615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/25 + 812\/260)\/((-1856)\/(-6032))\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 356, -2 in ascending order.\nAnswer: -2, 1\/5, 356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9, -16.2, 0.1 in decreasing order.\nAnswer: 0.1, -0.9, -16.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3083?\nAnswer: 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -6*s. Let o(t) = 475*t**2 - 4015593 + 4015593. Give x(o(q)).\nAnswer: -2850*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1276725926?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 41. Suppose -2*v - t + 5 = -1, -5*t = x. Solve 13 = 5*l + 3*s, -v*l - s + 11 = -0*s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 6*s + 258, -469*f + 941*f + 32 = 470*f - 2*s - 58 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -2 - v - 1\/3*v**3 + 0*v**2. Calculate n(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -146, 5, 4, -5, 1 in descending order.\nAnswer: 5, 4, 1, -5, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1190)\/(-6970))\/(203\/58)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f - 6. Let h(q) = 37*q + 41. What is h(b) - 3*m(b)?\nAnswer: 31*b + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j + 3069 = -7020 - 32343. What is the highest common divisor of 1344 and j?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 4*n**2 + 6*n - 2. Let r be s(2). Suppose f = r*f + 3*f. Suppose f = 7*i - 2*i - 955. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 4*h - 3. Let d = 11 + -32. Let w = -14 - d. Suppose -w*m + 6 = -4*m. Calculate v(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2 - 2*h + h**2 + 0*h - 2*h**2. What is the units digit of c(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/7)\/((-42)\/(-21)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*k + 33*k**2 - 18*k**2 - 13*k**2 to y + h*k**2 + t*k and give t.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 48796795 divided by 2\nAnswer: 48796795\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1636 - 733. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61451 (base 9) to base 12\nAnswer: 1b501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010011 - 100001110110011?\nAnswer: -100010100000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 294*g**2 + 861*g + 29. Give d(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1214 (base 7) to base 3\nAnswer: 121202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l. Let w(y) = 1047*y**2 - 85*y + 410. Calculate q(w(d)).\nAnswer: 2094*d**2 - 170*d + 820","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = v - 5*z + 7, z + 117 = 3*v. Suppose -20 = -5*k, p + 4*k = -3*p + v. Calculate the remainder when 22 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (44 - -4)*27\/162 + -8 - 70\/(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -0*y - 6. Let z(a) be the second derivative of 1\/21*a**3 + 1\/49*a**7 + 1\/21*a**4 + 0 - 2\/35*a**5 - a - 2\/105*a**y + 0*a**2. Solve z(w) = 0 for w.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21815 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-4)*(-6 - -2). Let b = -30 - -26. What is the tens digit of b\/p*(-360)\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43\/79 + -65\/316. Let p be 0\/((2 - 3) + 0). Suppose m + p*m + 1 = 0. Is q > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 235\/14 + -114\/7. Let c = -5.5 + -48.5. Let z = c - -53.7. Put z, -2\/7, j, -3\/8 in decreasing order.\nAnswer: j, -2\/7, z, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = r. Let p = 224.0453 + -0.0453. Let x = p - 224.4. Which is the nearest to 1\/5? (a) r (b) -1\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -238 + 235. Sort o, 1, 0.36.\nAnswer: o, 0.36, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 2\/117 (c) 0.5 (d) 0.1 (e) 0.32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*t - 36 = 95*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2 = -c, -3*c + 0 - 6 = t. Let b = -11 + 9. Sort b, t, -1, 5 in ascending order.\nAnswer: b, -1, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*c**2 + 210 + 23*c**2 - 213 in the form j + f*c**2 + b*c and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2678*t - 2068 = -2722*t for t.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 8, e: 5}. Give prob of sequence oo.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 + 313*m**3 - 3*m**2 - 315*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a year in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 132993?\nAnswer: 132992.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 70499*k**5 - 72849*k.\nAnswer: 1409980*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2903 + 2903.2. What is the fourth biggest value in 0.1, -10\/11, j, 3\/5?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 129636765 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 603 + 753 = 6*l. Suppose 154 = k - l. Does 19 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (10 - 18) + 3 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 0*t**4 + 0*t**6 + 3*t**2 + 0*t**5 - 1\/2*t**3 + 0 + 2\/105*t**7 + 0*t. Differentiate q(j) wrt j.\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 - -0.6. Let g be ((-370)\/40 - -9) + 3*(-4)\/144. Sort r, 2\/9, 5, g in increasing order.\nAnswer: g, 2\/9, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((10 - -1) + -15 + 6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -13. Let r = -8 + 8.15. Let l = r + 1.85. Sort l, m, -2 in ascending order.\nAnswer: -2, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3489 and 0.1.\nAnswer: -3488.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 817*z - 9247795 = 812*z, 5*a - 4*z = 9247867. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 2 + (-2 + 2 - 1)*(10 + 3 - 1) - 2 + 3 - 3 - 2 + 1 + 2 + (-3 + 1 + 4)*(5 + 0 - 4) + 1 - 2 - 1)*(-1 + y - 2*y + 0*y).\nAnswer: 12*y + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**3 + 2*j**3 - 2*j**3 + (j**3 + 0*j**3 + j**3)*(4 - 1 - 2) + j**3 + 0*j**3 + 2*j**3 + (744*j + 266 - 266)*(-2*j**2 + j**2 - j**2).\nAnswer: -1481*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/495*-15*(-3)\/54?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 116, -508, -1860, -3946, -6772, -10344, -14668?\n\"Answer: -o**3 - 358*o**2 + 457*o + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*s - 12*s**2 + 5*s**2 - 82*s.\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.2 and 70809433756?\nAnswer: 70809433757.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1925\/682597?\nAnswer: 1925\/682597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (12\/36)\/((-2)\/24)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0*(-4)\/(-8))\/(-1 + 0). Let h(i) be the first derivative of -1\/5*i**5 + b*i**4 + 2\/3*i**3 - i + 0*i**2 + 4. Factor h(o).\nAnswer: -(o - 1)**2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -797, -15, 64.\nAnswer: -797, -15, -4, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 103426 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 5*b - 14, -2*h + b - 3*b = -8. Suppose -v + 5 = -h*s, 0*v = -s - v + 2. Let z(i) = -4*i. Calculate z(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5868000 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008136168 rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2861465?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*l - 2*s = -64*l - 12, -s - 4 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 487545.4mm in centimeters?\nAnswer: 48754.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 2764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 284313\/(-2)*108\/(-162) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w + 3 - w**2 + 5*w + 3. Give v(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23764918 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -43, -91, -137, -181, -223, -263?\n\"Answer: t**2 - 51*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = p - 5, 8*k - 6*k = -3*p + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1291385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 385\/(-28) - 2\/8 - 1. Let x(f) = -f**2 - 13*f + 34. Let s be x(y). Solve -s*m + 4 = -5*t, 4*m + 25 = 9 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/11, 0.055, 1\/3, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21134 (base 11) in base 6?\nAnswer: 354243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*6*(((-3 + sqrt(2) + sqrt(32) - sqrt(2)) + 1)*-3 - 2*((sqrt(2) + 0 + sqrt(2))**2 + -1 + 0)).\nAnswer: -144*sqrt(2) - 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3287 + 14*r - 3290 - r**3 + 17*r + 17*r + 32*r in the form y*r**3 + b + a*r + m*r**2 and give a.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1.9446 * 0.088\nAnswer: 0.1711248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15 * 64.\nAnswer: -960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**3\/5 - 2*d**2 - 26*d\/5 - 14\/5 = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 9. Let p be 2\/t - 70\/(-9). Calculate the greatest common divisor of 56 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + (-2 - -9) - -11) + -29 + 35.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1606993279 to the nearest integer?\nAnswer: 40087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 67021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 6*l**3 + 4*l. Let a(j) = j. Let g be (24\/18)\/((-20)\/(-15)). Give g*z(b) - 4*a(b).\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -571*b + 1715*b - 566*b - 570*b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 2, f: 2, o: 9, q: 6}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (37 - -1) + 5 + 19 + -11 + -7?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 65 - 317. Let t be 9\/(-6)*i\/9. Solve -3*k - 5 = -t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/(-4))\/3*5 - 3. Let w(g) be the second derivative of 1\/80*g**5 + 0 + 0*g**4 + 0*g**2 + 0*g**3 - x*g. Let w(b) = 0. Calculate b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55504.28299961 + -55534.283. Let k = -30 - h. Round k to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*m + 55*m**3 + 14*m - 22*m - 60*m**3.\nAnswer: -5*m**3 + 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (sqrt(68)*2 + sqrt(68)))*-4)\/sqrt(4) + 4.\nAnswer: 4 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f. Let r(c) be the third derivative of 5*c**4\/12 + 6*c**2. Calculate b(r(g)).\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15479506 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/88 and 83\/64?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101722, 203308, 304894, 406480?\nAnswer: 508066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10644 (base 8) to base 13\nAnswer: 2095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3367 is divided by 162.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25931*z**2 - 8650*z**2 - 8643*z**2 - 8637*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -1279\/263?\nAnswer: -1279\/263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5 = 0, 0 = -4*d + 3*g + 5 + 22. Suppose -4*t = -x - 2344, 5*t - d*x - 2923 = -0*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48297853 is divided by 81.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4495 by -5105.\nAnswer: -899\/1021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 5*y + 3*p, 3*p = 24 - 9. Calculate the remainder when 721 is divided by y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*n - n - 4*n - 4*n to the form u + o*n and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1764 - 1763.9999149. What is y rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*y - 25. Let w(c) = c**3 - 4*c**2 + 6*c - 2. Let d be w(2). Let q = 7 - 4. Solve d*k = q*k - y for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19388821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -16 (b) -1\/2 (c) 4\/7 (d) 5.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (sqrt(832)*4 + sqrt(13))) + (sqrt(13) - 2*sqrt(13)) + -2)**2*3.\nAnswer: 396*sqrt(13) + 42483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 402\/523109, -0.4 in increasing order.\nAnswer: -0.4, 402\/523109, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - -5*sqrt(84))\/(sqrt(243)*-2) + -2.\nAnswer: -2 - 11*sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*g + 66*g = 635660. Let r = g - 635620\/37. Is 1 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-198 - 2*m + 115 + 3*m**2 + 110)*(-3 + 2 - 1)*(-2*m - m - m).\nAnswer: 24*m**3 - 16*m**2 + 216*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 18*s - 30. Let k be z(9). Suppose -3*v + k = -7*v. Let p = v + 48. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*g + 273 + 417 = 63 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 541786 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4\/5)\/u**(-6)*(u**1)**(-2\/53))**25 assuming u is positive.\nAnswer: u**(6840\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 8, y: 5}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (10\/(-4)*(-960)\/(-400) + -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -3, 3, -1737 in descending order.\nAnswer: 3, -1, -3, -5, -1737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -4, -11, -22, -37, -56?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/19 in 6, 5, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l - 6 + 5*l + 6.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 236864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7900029\/11 + -715234. Let x = q - 2953. Let t = -946\/7 + 136. Find the common denominator of x and t.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (1 - 4 - (15 - 9))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 (base 11) in base 12?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 98\/5 - (-2)\/5. List the prime factors of p*(24\/(-10))\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 8*p - 8. Let x be j(7). Which is the nearest to x? (a) 0.5 (b) 2\/15 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/15 - 9788\/(-60)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 1239 = -152*i - 18*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 3*i - 3. Let t be s(3). Let g(f) = -14*f + 44. Let l be g(10). Let d = l - -99. Solve 3 = d*m - u, 0 = -5*u - t for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 6 - 8 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 2, -1\/11, 1, 3, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245430471?\nAnswer: 3, 11, 13, 52009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 10*x - 6. Suppose -10 = -h - h, -3*y - 4*h = -35. Suppose -5*f = -y*c + 50, -4*f - 9 = -2*c + 21. Is 14 a factor of v(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 23 = -25. Calculate the smallest common multiple of v and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + i**2 - 192*i - 1428. Determine g(-7).\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 78491 = -26869. Let p = 2423377\/92 - f. Find the common denominator of 21\/20 and p.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -99 + 106. Let n = 6 - q. Calculate the remainder when n\/5 + (112\/10 - -2) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7925*a + 91 = 7938*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 10:22 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85 + -83. Sort -1, n, 3, 4 in descending order.\nAnswer: 4, 3, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -0.279.\nAnswer: 0.1395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 0.5 (c) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -89 + -11 + (0 - -24) + 1 + (-5 - -6)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*p - 426 = -734 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 728.545 - 728.5. Which is the nearest to -14? (a) -2\/3 (b) z (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 38*m + 27. Let s be d(10). What is the highest common factor of 37 and s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4629 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 2 - (-1 + (-2 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 556, -0.4, -4 in increasing order.\nAnswer: -4, -0.4, -0.3, 556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-71)\/(-110) - 1\/2. Let n = j + -221\/385. Let l be 483\/441 + (-4)\/42. Which is the second biggest value? (a) l (b) n (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1430503*g**3 - 1 + 1 - 319352*g**3.\nAnswer: 1111151*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12805693 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 42013.11 rounded to the nearest 1000?\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**2 + f**2 - 4*f**2 + (2*f + 4*f - 3*f)*(-2*f - 2*f + 2*f) - 2 + 3*f**2 + 2 - 2*f**2 + 2*f**2 + f**2 + (-f + f + f)*(0*f + f + 2*f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*s + 173505 = -132626. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 14. Suppose 2*g - 6 = -o - g, 0 = 4*o - x*g - 104. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*y = -824, 0 = 2*u - 0*y + 2*y - 554. Suppose 4*m = a - 330, 0 = -5*a + 2*m + 1854 - u. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 11*i**2 + 7*i + 7. Let f(w) = -10*w**2 - 6*w - 6. Let d(r) = 7*f(r) + 6*o(r). Let z(v) = 8*v + 10*v - 42*v + 8*v + 8*v. Give d(z(g)).\nAnswer: -256*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1035 to the nearest 10.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -7*i**2 - 310*i - 1602. Calculate q(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j. Let l be 2\/11 - (-448)\/77. Let z = 13 - l. Calculate the remainder when z is divided by f(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/11 - 17*z**3\/11 - 58*z**2\/11 - 40*z\/11.\nAnswer: z*(z - 20)*(z + 1)*(z + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 - 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208887 is divided by 109.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 369 = -54*s + 13*s. Which is the smallest value? (a) 32 (b) -3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15372.2 times 35?\nAnswer: -538027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*((-10)\/6 + 1). Let c(h) = -2*h - 2. Let x be c(i). Solve x*z + 2 = 12 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 divided by -934?\nAnswer: 83\/934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence goe when three letters picked without replacement from ogfccfggefcogf.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3\/7, 3\/5, -2, -28.8 in descending order.\nAnswer: 4, 3\/5, -3\/7, -2, -28.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -622 * -237040.\nAnswer: 147438880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + -5 + (sqrt(931) + -2)*-5 + sqrt(931) + 0 + 5 + 4)**2.\nAnswer: -728*sqrt(19) + 15060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**3 + 3*r - 3. Let o(h) be the first derivative of 65 - 9\/4*h**4 + 0*h**3 + 7*h - 7\/2*h**2. What is -7*c(j) - 3*o(j)?\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 55147643707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 12:32 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*t - k, k - 2 = -2*t - 3*k. Let i(v) = v + 4. Give i(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + m + 2. Calculate a(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -61*c**4\/4 + c**3\/3 + c**2 - 83. What is the third derivative of q(z) wrt z?\nAnswer: -366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 12:09 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*y - 12. Suppose 0 = o - y*o + 16. Suppose 0*z = -2*m + 5*z + 49, -5*m = 5*z - 175. What is the greatest common divisor of o and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 269, 559, 849, 1139, 1429, 1719?\nAnswer: 2009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 17*q**2 - 15*q + 5. Calculate the remainder when v(16) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48a5216 (base 11) to base 13\nAnswer: -19c7852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/((8\/(-6))\/2). Suppose r*k = -3*k + 18. Let l(j) = 2*j**3 - 4*j**2 - 2*j + 2. What is l(k)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 294.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 18*j**4 + 22*j**4 - 5 + 22*j + 3*j**4. Let v(u) = 21*u**4 + 11*u - 3. Let z(y) = 3*l(y) - 5*v(y). What is the second derivative of z(w) wrt w?\nAnswer: 288*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (11 + -5 + -3 - 8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 111504331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-144241017.\nAnswer: 865446102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1684, -335, 1012, 2357, 3700, 5041, 6380?\nAnswer: 7717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4 = 3*i - i, -1 = 3*i + 5*z. Suppose 8*c + 35 = i*c. Put c, -1, 0, 1 in descending order.\nAnswer: 1, 0, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b + 3 = -3*g - 12*b, -11 = 5*g + 3*b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 71*n**2 + 2*n + 1. Let g(q) = -3*q - 9. Let b be g(-2). Let a be (b - -5) + (-2 - 1). What is the remainder when v(a) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 101*k - 1561. What is the units digit of i(80)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -122 or -135?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*x - 5, -x = 2*f - 13299. What are the prime factors of f?\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - -14) + 11 - -1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**5 + c**4 + c**2 - 1. Let r(j) = 37*j**5 + j**4 + j**2 + 68*j - 1. Let h(t) = f(t) - r(t). What is the second derivative of h(x) wrt x?\nAnswer: -720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**3\/k*k*k*k**(-5\/6))\/((k**(-7)*k)\/(k\/(k\/k**(-2\/9)))))\/((k**(-1\/3))**42)**(8\/13) assuming k is positive.\nAnswer: k**(4109\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*a + 2, u = -4*u - a + 15. Suppose 2*x = 4*j + 8, -3*j + 8*j = -u*x + 17. What is the least common multiple of 2 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -10 (b) 0.03 (c) 84 (d) -1 (e) 0.01 (f) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - i + 9 = 0, -4*m + 3*m + 9 = -4*i. Let y(z) = m - 223*z + 222*z + 1. Calculate y(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 200, 253, 392, 659, 1096, 1745, 2648, 3847?\nAnswer: 5384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/3 + 73*x - 218\/3.\nAnswer: -(x - 218)*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/8)\/(23\/92). Let d = -728 + 748. Solve 4*t - 4*l + d = 0, t + g + 1 = -2*l for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express h - 3*h - 433 + 1654 + 11666 - 840 as f + i*h and give f.\nAnswer: 12047","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*s**2 - 11*s**2 - 79*s**2 - 77*s**2.\nAnswer: -217*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9789 - -9803. Solve -2*b + 10*m - 7*m - 4 = 0, -g = 2*b + 2*m for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(2) + 2*sqrt(2))*-2)**2.\nAnswer: 48*sqrt(2) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337616?\nAnswer: 2, 21101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2 + 93. Give i(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3378286729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 15*l**2 - 314*l**2 - 2*l**2 + 2 to the form u*l + j*l**2 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22.91 + 23. Let y = -4.91 - s. Let o = 4 + -4.4. What is the nearest to -1\/2 in -4, y, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, -147, -3 in descending order.\nAnswer: 71, -3, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1)\/(5\/2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, s: 1, b: 1, n: 1, z: 1}. Give prob of sequence zqn.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5920, 46409, 156304, 370309, 723128, 1249465, 1984024, 2961509?\nAnswer: 4216624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 69143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2604, 3409, 4768, 6693, 9196, 12289?\n\"Answer: 2*l**3 + 265*l**2 - 4*l + 2341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 + 0 - (8 + -39 + 28)) + -11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(3 + 0)*-1. Let r be (-6)\/6*(-3 - -2). Calculate the greatest common divisor of r and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.08 and 9.067479.\nAnswer: 9.147479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 132 + 78 = 48*g. Solve m + 2 - g = 3*u, -3*u = -3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = i - 3, 5*i + 53*p + 3 = 52*p for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 9 = -2*i, o + 4*o + 25 = 0. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 3*d**2 - 6. Let p be q(-3). Let z(h) = h**2 - h. Let r(l) = -4*l**2 + 4*l. What is p*z(t) - 2*r(t)?\nAnswer: 2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjjjjjjgvjj. What is prob of sequence gv?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 10*c**3\/3 - 41*c - 3. Let r(d) = 39*d. Give r(o(z)).\nAnswer: 780*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -b - 4. Let u = -19 + 38. Let n = u + b. What is the remainder when 32 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 2 - (4 + -2)) + -28 + 41\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30412 is divided by 15183?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 11 = z, 0*n + 17 = 4*n - 3*z. Suppose -w = 3*u - 23, 3*u + n*w + 3*w = 19. Let b = -29 - -38. Is b > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 13900*s + 5577. Let v(h) = 3*h. Calculate v(k(b)).\nAnswer: 41700*b + 16731","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54276428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -3*c - 6. Let d be c*-4*(4 - 8). Calculate the greatest common factor of d and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 99587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c - 4. Let t be g(-5). Suppose -t*x = -11*x + 15. Is (26 - x)\/(1\/7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 14*n**2 + 13*n + 1. Let a be b(-13). Calculate the common denominator of -83\/14 and (-321)\/(-70) - a\/(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -182, -294, -404?\nAnswer: -512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75244 and 1306292?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43933237 is divided by 21966608.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 24308*-0.041\nAnswer: -996.628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u**3 + 3*u**2 - u + 21. Let n(m) = -m**3 + m**2 + 5. Let k(y) = 9*n(y) - 2*q(y). Suppose -5*s = v - 12, -4*v - 9 = -v. Give k(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2929 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 + 0 - 11) + 4 + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*r + 6 - 6)*(114 - 25 + 16) - 5*r + 14 - 14 as q + f*r and give f.\nAnswer: -1475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 314.514l in millilitres?\nAnswer: 314514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0941 and 2.\nAnswer: -0.1882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**2 - 18*d + 10. Let i(t) = 2*t**2 - 17*t + 11. Let c(y) = 4*i(y) - 3*s(y). What is the tens digit of c(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-39)\/(-12))\/(-13))\/((-2)\/(-2)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17 + -4643960.1931721?\nAnswer: -4643960.3631721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51515293?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*z + 53 - 201, 4*z - 5*s - 198 = 0. Does 18 divide (154\/(-21) - -8) + z\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 229 - 229 - 115*w as d*w + t and give d.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8750352 = -2*c - 2*l, 0 = c + 4*c - l + 21875892. Let y = c - -7075178. Suppose y = -0*a - a. What is a rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 - 2*s - 5. What are the prime factors of w(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (((-326)\/(-1))\/(30\/18))\/((-12)\/(-30)) and 1141.\nAnswer: 3423","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -5.7.\nAnswer: -34.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -113, -262, -483, -782, -1165, -1638?\nAnswer: -2207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, f: 2, i: 2, p: 2, b: 1, n: 1}. What is prob of picking 1 i and 1 n?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.753 - -0.187. Let d = -2 + j. Let s = d - 0.04. Sort s, 5, -0.5 in descending order.\nAnswer: 5, s, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 20*m + 1500. Is 25 a factor of j(45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11919763?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80*m + 344*m - 213*m + 691*m to the form s + p*m and give p.\nAnswer: 902","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-3 - 1) + 1 - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -4*p - 19. Let z = p + 15. Let t(g) = g**2 - 3*g - 3. Let v be t(z). Calculate the greatest common factor of v and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55 - -107. Let s = a - 62. Let u = s - -123. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25422 - -110?\nAnswer: -25312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**3 - 12*x**2 - 6*x - 15. Calculate a(-4).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5499 is divided by 121?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 equal to -48.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 18, k: 2}. Give prob of sequence xkxx.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 2:53 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -12 + 4\/3*i - 2\/9*i**3 - 1\/3*i**2. Factor b(t).\nAnswer: -2*(t - 1)*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -1) + 8 + 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/13 + (-1272)\/(-156). Suppose -4*v + 20 = 5*a, 2*a + 0*v - j = 4*v. Solve 20 = 4*q + 6*g - g, -a*q - g + 20 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44544 (base 12) to base 10.\nAnswer: 90628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29848553 and 2492.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1389111033 rounded to the nearest one million?\nAnswer: -1389000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 18*i + 4. Let a be s(-18). Suppose 3*j - 5*b = 52225, -2*j + a*b - 69580 = -6*j. Round j to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 m when two letters picked without replacement from fmqq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 20*k**2 + 2*k + 1. Let f = -9 - -4. Let u = f + 10. Calculate the remainder when l(-1) is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10263424?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -19741845, -19741829, -19741813, -19741797, -19741781?\n\"Answer: 16*q - 19741861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1355.0000000149 - -1355. What is h rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/42)\/((-4)\/16).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8262 - -8278. Solve 0 = -w - 4*d - 12, 6 = -19*d + t*d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -276 - 3295277518?\nAnswer: -3295277794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 54\/12 - 2\/(-12)*3. Suppose -26 + 26 = o*s. Solve -5 = -5*z + 5*i - s, -4*z = -5*i - 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**4 + 334*h**3 - 984*h**2 = 0.\nAnswer: 0, 3, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/(-40) - 58\/8. List the prime factors of ((-4)\/r*107)\/((-3)\/(-6)).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -202122, -404215, -606308?\n\"Answer: -202093*s - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 6:37 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(34\/4 - (-3 - -6)). Suppose p*z - 72 = -7*z. Solve a + z*x = -3, -a + x + x = -9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + -4 - -3 - -3. Suppose 4*t - 3*f = -a + 1, t + 4 = 5*f. Solve -4*h + 5 = t for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 7:39 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.5845 - 135.31333.\nAnswer: -137.89783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a kilogram in grams?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 396, 461, 540, 639, 764, 921, 1116, 1355?\nAnswer: 1644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p**2 + 3*p + 2. Let i be 9\/((-162)\/(-3))*-2*9. Let q(u) = -5*u**2 - 4*u - 3. Give i*w(a) - 2*q(a).\nAnswer: -2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n + 2303*n**2 - 4604*n**2 + 4*n**3 + 4*n**4 + 2305*n**2 to the form z*n**4 + c*n**2 + g*n**3 + i + p*n and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11102333212 (base 4) to base 5.\nAnswer: -323413033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 1\/18*w**3 + 1\/1260*w**7 + 0*w + 0 + 1\/144*w**6 + 5*w**2 + 1\/40*w**5 + 7\/144*w**4. Determine l, given that m(l) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2689\/4, 1\/4, 3.\nAnswer: -4, 1\/4, 3, 2689\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17335 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -217, -330, -817, -1864, -3657, -6382, -10225?\nAnswer: -15372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75567\/31 or 2439?\nAnswer: 75567\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1345368 by 46392.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.01 - 11. Sort 4\/7, p, 5.\nAnswer: p, 4\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.4 + -1.1. Which is the nearest to 0? (a) 0.1 (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence er when two letters picked without replacement from {f: 1, r: 1, e: 1, v: 1, k: 2, s: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3*6\/90)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -6 - (3 - (-220)\/(-105))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79887743, 79887741, 79887739, 79887737, 79887735, 79887733?\nAnswer: 79887731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4864 and 2432?\nAnswer: 4864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4393 is divided by 169?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 134, 212, 296, 386, 482, 584?\nAnswer: 692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1804 rounded to three decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2007958 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1167592.668 to the nearest 100.\nAnswer: 1167600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -y**5\/20 - 1253*y**4\/4 - 1570009*y**3\/2 + 41*y**2 - 3*y - 2. Suppose z(c) = 0. What is c?\nAnswer: -1253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 96 = 20*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 80324592 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/3, 3, -382?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22382000 rounded to the nearest one hundred thousand?\nAnswer: 22400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16588980 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: What is -81627534 rounded to the nearest ten thousand?\nAnswer: -81630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**3 - 2613147 + 3*i**3 - 1496802 - i**3.\nAnswer: i**3 - 4109949","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 4)*(y**2 - y**2 - 6*y**4).\nAnswer: 24*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2875*i. Let m(y) = 46*y. Determine m(b(j)).\nAnswer: -132250*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-1)*((-2)\/(-8))\/(3\/18).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**0)**(-1\/10))**(1\/10)\/((y**(2\/5))**13)**(-6) assuming y is positive.\nAnswer: y**(3119\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6783908.\nAnswer: 2, 71, 23887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 9334 = 4*k, -3014 = -3*h - 4*k + 10967. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -796680.4 + 796680. Suppose 3*d = -3*q + 36, q + 2*q - 68 = 5*d. What is the closest to -1 in b, -1\/3, q, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340*r - 169*r - 3448 = -78*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 128*f = 1277, -2*w - 1499*f - 4 = -1500*f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dznzadtmzadt. Give prob of picking 1 d, 2 t, and 1 n.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 6*w + 8 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -201111010?\nAnswer: 201111013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -0.098?\nAnswer: -0.098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*s + 11, -6*n = -4*n - s + 3. Let f be n\/22 + 56\/308. Let v(t) = 5*t + 2. Let b be v(2). Solve 4 = -w + 3*g - g, 5*w - 2*g - b = f for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*c + 18*c + 133152 = -64*c. Which is smaller: c or 0.06?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 34.43. Let x = d - 0.57. What is the third smallest value in x, -0.3, 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6901504 divided by -8\nAnswer: -862688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -i**5\/20 + 29*i**3\/3 - i**2 + 160. Let o(x) be the third derivative of l(x). What is o(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/9899 or 1?\nAnswer: -15\/9899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 47*r + 32. Let i(c) = -46*c - 27. Let t(k) = -6*i(k) - 5*x(k). Let p(y) = 20*y + 1. What is 9*p(q) - 4*t(q)?\nAnswer: 16*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -687042.92 less than 0.3?\nAnswer: 687043.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 1:02 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -70925 divided by 647\nAnswer: -70925\/647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*f + 16*f + 2683 + 23*f + 15*f.\nAnswer: -3*f + 2683","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8094 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -255*b + 268*b - 15041. Which is greater: b or 1155?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and -8014368896.05?\nAnswer: 8014368893.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22244 (base 5) to base 15.\nAnswer: 6ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -146 - -141. Suppose 2*i + j - 3 = 2, 19 = 4*i - j. Suppose -x - 8 = -3*m, 2 = 2*m - i. Sort 5, q, x.\nAnswer: q, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 7 = -2*y + 3, -7 = -y + 4*m. Sort y, -0.5, 5 in descending order.\nAnswer: 5, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.3 (b) -2 (c) 4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22410.4 millilitres in litres?\nAnswer: 22.4104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 1\/2, 1\/7, 47, 0.39?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 449747.2436 + -2728480006.2436. Let i = -2728030381.0000077 - k. Let l = 122 + i. What is l rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -814858*t**2*u*x**3 + 3*t**2*u*x**2 + 16*t**2*u*x + 2*t**2*x**3 - 2*u*x + 10*x**2 + x - 5 wrt x.\nAnswer: -4889148*t**2*u + 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 28 - 54*w + (6 - 4 - 4)*(4 + 2*w - 4))*(2*w + 0 + 0)*(424 - w - 434 - 5*w).\nAnswer: 696*w**3 + 1160*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 62783132 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -98, -93, -88, -83, -78?\n\"Answer: 5*d - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -69*s. Let m(t) = -7*t**2. What is w(m(r))?\nAnswer: 483*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, w: 2, x: 6, y: 3, q: 1}. What is prob of picking 2 w and 1 t?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, d: 5, i: 1, a: 2, v: 2, w: 2}. Give prob of sequence wwiv.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.182 - 0.4.\nAnswer: -0.582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a**2*q*y + 22558*a**2*q + q*y - 63*q - y wrt a?\nAnswer: -2*a*q*y + 45116*a*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 4*q - 128, 0*s + 4*s - 5*q - 241 = 0. Let o(j) = -2*j + 4. Let y be o(-6). Let r = s - y. What is the greatest common divisor of r and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, 1\/2, -1, 0.631, -12\/7 in descending order.\nAnswer: 51, 0.631, 1\/2, -1, -12\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 8:41 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -590 + 582. Let x(b) = b**3 + 8*b**2 + 4*b + 14. What is x(i)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -3565\nAnswer: -3\/3565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 89685654 by 6.\nAnswer: 14947609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from vwwwwwwwvwwwvwtw?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.623033208 + 1264.369658792. Let b = r + -1265. Round b to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 5*w**2 + 24655*w + 637650 = 0.\nAnswer: -4905, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/2 (b) -1 (c) 830 (d) 3 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/(a\/a**16)*a*a*a**(-33) assuming a is positive.\nAnswer: a**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1253653?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.2205, 2, -850?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1389 by 35099.\nAnswer: 1389\/35099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -123 - -115. What is the nearest to g in -3, -0.2, -1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c - 5. Let p be s(4). Let q(z) = -4*z**3 - 1. Let t be q(p). Solve -6 = -t*h + 5*m, 2*h + 2*m = m + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21787\/17811 - 2\/1979. Calculate the common denominator of -5 + -7 + 15 + 76\/(-6) and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 5*b + 97, 3*d - d - 21 = -3*b. Suppose 2*p - 7*p = -440. Suppose -p = 4*w - 8*w. What is the least common multiple of w and d?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000000 - -101?\nAnswer: 101000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13 and -32.\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341338967?\nAnswer: 341338967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11\/4 (b) -3 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - 1\/2*4\/2*1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -4*s**5 + 340*s**4 - 5872*s**3 + 4928*s**2 + 351232*s - 680512 = 0.\nAnswer: -7, 2, 14, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1096*t + 1104*t + 56 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7 - (-5 - (-33464)\/5576) - -8. Which is greater: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -10*r + 474. Does 10 divide v(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 6. Determine i(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 223594437, 447188871, 670783303, 894377733, 1117972161?\nAnswer: 1341566587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-7))\/((-2)\/14). Suppose -l - 2*l = 5*u + t, 0 = -4*l + 4*u + 24. What is the remainder when 9 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000010110011000100 (base 2) to base 5.\nAnswer: -201013032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -1)*(-3)\/3*-1. Suppose r*m + 147 = -7*m. Let l = 33 + m. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4012242 and -1921887.\nAnswer: -5934129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*x**3 + 34*x**3 - 19*x**3 + 46*x**3.\nAnswer: 81*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4311.162 and -1.454.\nAnswer: -4312.616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 6:39 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckck when four letters picked without replacement from kckcccccc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 570 + 574 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199414 is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 6*x**2 - 5*x - 1. Let u(n) = 2*n - 1. Let w be u(3). Let i be t(w). Is i != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/2)*k)**(5\/7) assuming k is positive.\nAnswer: k**(5\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12351 - -12391. What is the remainder when 1115 is divided by n?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 2 = -m. Let y be 3\/(9\/m)*3. Suppose 0 = y*p - 23 - 12. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**1*m)\/(m\/((m*m**(-2\/17)*m)\/m))*m*(m**(-1\/8)\/m*m)\/m*m**(-4) assuming m is positive.\nAnswer: m**(-441\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2080493183 to the power of 1\/2, to the nearest integer?\nAnswer: 45612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - b + v - 11, 5*v = -2*b - 17. Let r be (3\/b)\/(-4 - -7). Factor -1\/4 + r*w**2 - 1\/4*w**3 + 1\/4*w.\nAnswer: -(w - 1)**2*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -271 - -577. Let u = v - 148. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 993, 995, 997, 999?\nAnswer: 1001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2\/15, 1, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**3 - 3102*k**2 + 763347*k + 20148552 = 0?\nAnswer: -24, 529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - o + 89 = 0, 2*o + 27 = -2*v - o. Let p be (1\/(-2))\/((-2)\/(-4)). Let k be ((-3)\/(-9))\/(p\/v). Solve 3*q - k*w = -2*w - 10, -q + 3*w = 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 + 626320*h**2 - 19613210785*h - 39228926890.\nAnswer: -5*(h - 62633)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180094 and 4346.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*h**4*t - 50*h**4 + 2*h**3 - 15*h**2*t + 182*h*t wrt h?\nAnswer: -528*h*t - 1200*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 962, 3800, 8544, 15206, 23798?\nAnswer: 34332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 132*u + 3. Let m be b(0). Which is smaller: m or 25\/9?\nAnswer: 25\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06826 * -0.074.\nAnswer: 0.00505124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16000\/(-575) + 16 + 12?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -10 + (-3 - -2 - -7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1012 + -10132200022?\nAnswer: -10132133010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9 - ((36 - 39) + -7 - -45)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5)\/l**(4\/3))**(2\/27) assuming l is positive.\nAnswer: l**(-38\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 104317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4 + 189*h**2 + 281*h**2 - 5*h + 115*h**2 + 0*h. What are the prime factors of s(1)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -58, -1 in descending order.\nAnswer: 0, -1, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -146096a?\nAnswer: -1460966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 6 - 6)*(-5*q + 2*q + 0*q) + 0*q - 6*q + 4*q)*(-5 - 1 + 3 - 2*q) to the form v*q + z + r*q**2 and give r.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.187 and 0.1?\nAnswer: 0.0187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 + -4. Solve -34*u = -b*u - 14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 - 19*q - 34. What is the remainder when z(15) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5*j - 5. Let i be t(-5). Suppose 4*m + 2*s + i = 3*s, -6 = 3*m - 3*s. Let d be (-15)\/2*m\/(-9). Sort 3, -1, d in increasing order.\nAnswer: d, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -404 in -0.02798, 1\/7, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/4)*g)**36)**(1\/47) assuming g is positive.\nAnswer: g**(27\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qu when two letters picked without replacement from eccjcccceussceqc?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (16 + 5)) + (9 - 3).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (0 - 8)\/(-4). Suppose 3*r + 263 - 836 = w. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 10 + -18 + 9 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**5\/10 - 17*f**4\/4 - 76*f**3\/3 - 103*f**2\/2 - 87*f\/2 - 492. Factor c(a).\nAnswer: -(a + 1)**2*(a + 3)*(a + 29)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6*t + 5 = -q, q = 3*t + 3. Suppose a = -q*a. Suppose -2*i - 3*i = a. Are i and 0 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = z - 5*h - 70, -5*z + 394 = -4*h. Find the second derivative of 10*j**5 + 66*j + z*j - 127*j wrt j.\nAnswer: 200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -7.3. Let n = 15927.8 + -15928.4. What is the closest to -3 in n, -3, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 11. Suppose 5*q = 48 + 32. Calculate the greatest common factor of q and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(2\/3)\/d)\/d*d)**25*(d**(2\/5))**(-2))\/((d\/(d*d**(-4\/3)))\/d*d*d**(-5)*d*d**5*d\/((d\/d**(-6))\/d)) assuming d is positive.\nAnswer: d**(-97\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16798 and -5.\nAnswer: 83990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61 + 121. Suppose 36 = 16*f - u. Let w(b) = 7*b**3 + 8*b**2 - 2*b - 6. Let n(t) = t**3 + t**2 - 1. Give f*n(v) - w(v).\nAnswer: -v**3 - 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -570842407591*z + 570842407591*z - 5*z**2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q**2 + 4*q**2 - 150 + 144. Let t(j) = 1. Let w(f) = -5*n(f) - 30*t(f). Let v(c) = -12*c. Calculate v(w(k)).\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**2 - 3111*c + 89378 = 0?\nAnswer: 29, 3082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -4\/5 (c) 113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*o - 344 + 296 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(1*sqrt(100)) - ((sqrt(5) - -2*sqrt(125)) + (-2*sqrt(320))**2).\nAnswer: -1280 - 54*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9730865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 2 = -3*d, -4*m - 5*d = 22*m + 6*m + 113 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*(-1 + (sqrt(117) - ((sqrt(117)*2 + sqrt(117) + sqrt(117) + sqrt(117) + sqrt(117))*-1 + sqrt(117)))\/(sqrt(9) - 2*sqrt(900)) + -1))**2.\nAnswer: 864*sqrt(13)\/19 + 68832\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -12*l**2 - 43. Let x(c) = -3*c. What is x(m(z))?\nAnswer: 72*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 600 and 120?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -4*b**3\/3 - 2*b**2 + 24*b + 3. Factor f(q).\nAnswer: -4*(q - 2)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 14*w - 3*l = -33444, -25058 = -3*w + 4*l. What are the prime factors of w?\nAnswer: 2, 3, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5008488?\nAnswer: 2, 3, 208687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/38)*o**(-40)\/o*o*((o*o\/o**24*o)\/o)\/o**47 assuming o is positive.\nAnswer: o**(-4141\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5803*l - 5809*l + 11615*l = 5*u - 123, -150 = -2*u + 4*l for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-11 + -45)*2\/(-4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 3 = 9*n, 4*n = 2*s + 8. Let v(r) = -11*r**2 + 2*r + 7. What is v(s)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1239)\/12 + (-15)\/20. Let g = -92 - l. What is the smallest common multiple of 36 and g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 771*x**3 - 1465*x**3 + 775*x**3.\nAnswer: 81*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - 1. Let m = -0.6 - -1. What is the nearest to -1 in v, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 8 - (4 - (-9 - -2 - (-133 + 206))).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.014 or -2\/10019?\nAnswer: -2\/10019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4 + 16*q**3 - 14*q**2 - 16*q + 15.\nAnswer: -(q - 15)*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11\/945 - -923\/1890. Which is the closest to -2? (a) i (b) 1\/3 (c) -1.4 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (67\/(-2))\/((-50440)\/(-4656)) + 3\nAnswer: -6\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 45*s + 673. Calculate c(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -10*m + 1. Let v(j) = -10*j + 1. Let z(k) = 2*f(k) - 3*v(k). Let t = -3 + 7. Is z(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 14*v - 16*v = 3, 3*v - 12 = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 601\/11 equal to 56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - (-52)\/12)*12\/10. Calculate the lowest common multiple of b\/6 + (-285)\/(-45) and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 490 and 104537923?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r**2. Suppose 8 = i - 3*t, -6 = -5*i - t + 2. Let k(b) = 4*b**2 - 6*b**i - b**2 + 4*b**2. Determine h(k(d)).\nAnswer: 3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 181.578ng to milligrams.\nAnswer: 0.000181578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 5*x**2 - 8*x. Let s be a(-6). Calculate the greatest common factor of s and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1320.1259 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7047548, -7047547, -7047546, -7047545, -7047544, -7047543?\n\"Answer: d - 7047549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 0 + 169*v**2 + 3 - 167*v**2 - 4*v. Let h = -2 + 4. Let k be t(h). Solve z = k*z + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 1)*(26272 + 447*c - 26272 + 6 - 4*c - 6 + (4 - 3 + 1)*(-3 + 3 - 2*c)) to s + p*c and give p.\nAnswer: 878","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30.000025 + -30. What is i rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 4 (b) -2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (84*4)\/(-3) - 0. Let b = -68908\/9 + 7649. Calculate the common denominator of 3\/6 + s\/(-6) and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 11*f**2 + 9*f - 8. Suppose -2*q = 2*u + 22, 2*u - 16 = -4*q - 58. Let k be c(q). Find the common denominator of (57\/(-15))\/(1\/k) and -19\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16337\/308 + -367\/7. Suppose g - 1 = 0, 2*r - 3*g - 46 = 125. What is the common denominator of r\/(-312) - (-2 - (-48)\/26) and s?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - -9. Let m = 18 - o. Suppose 5*x + 11 = m*y, -5*y = -x - 0 - 11. Solve -u + y*a = 3, -7 + 1 = 2*u + 5*a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -31, 5.\nAnswer: -31, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4*k + 33, -12*k + 17*k - 72 = 4*q. Solve 2*u = -n - 8 - 3, -k = 4*u for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 731, 903, 1083, 1277, 1491, 1731, 2003?\nAnswer: 2313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 636*c + 584*c - 1854*c + 634*c + 2*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 577 and 10727?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/(-6))\/((-82)\/(-164)))\/(40\/(-8))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 880562240 and 480.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26302773 and 1281.\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 6*k**2 + 2*k**2 - 30 - k**3 + 4*k + 11 as i*k**2 + r*k**3 + m*k + h and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47464, 47457, 47446, 47431?\nAnswer: 47412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 + 12*j - 58 + 122.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5182829 by 1.\nAnswer: -5182829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -90252 divided by 7521?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5*a**3 + 15*a**2 + 14*a - 40. Let m be n(7). Let u = 2192 + m. List the prime factors of u.\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 76158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (70\/84)\/(1\/2). Let w = -0.2898 - -0.2498. Which is the third biggest value? (a) h (b) w (c) -2\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 65? (a) -11 (b) 0.2 (c) -9 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from pqnnyqd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 3*q + 6, -2*q + 0*q + 3 = -y. Let d be (-2270)\/((-59)\/(-10) + -3 - y). What is d rounded to the nearest one thousand?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73.969 + 0.031. Let z = -1136 - -1209.9. Let g = z - h. Which is greater: 10 or g?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwc. What is prob of sequence wg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 124*i - 274. What is the hundreds digit of o(30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5732 - -0.0732. Which is the second biggest value? (a) t (b) -1 (c) -0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -110, -38493, -3.\nAnswer: -38493, -110, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -168148 from 190.48.\nAnswer: 168338.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 53379819*a**4 + 59904280*a?\nAnswer: 640557828*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -91.8 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 593710997.\nAnswer: 11, 29, 277, 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.80335 to 1 decimal place.\nAnswer: -20.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10012 - -4?\nAnswer: 10016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1110200 to the nearest ten thousand.\nAnswer: -1110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s + 0 + 0 + (216 - 112 - 127)*(-1 - s + 1) + 2*s + 2*s + s - 1 + 1 + s + (-s + 6*s - 3*s)*(-1 + 2 - 3) to the form w*s + o and give w.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*p - 33 = 4*y, -5*y - 30 = -4*p. Suppose p*j = -4*f + 680 + 525, 0 = 4*f + 4*j - 1200. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 802586 - 1605171\/2. Determine j, given that 5 - 3\/2*j - s*j**2 = 0.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*m - 86 + 236 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 3. Suppose -4*n - 5*z = 4, 6*z + 12 = 3*z. Let s be (-3)\/(-1) + (4 - n). Sort s, m, -1.\nAnswer: m, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/5 - 37*b\/5 - 38\/5.\nAnswer: (b - 38)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 957559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 105*z**5 + 4*z**5 - 65*z**5 - 20*z**2 wrt z?\nAnswer: 2640*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 584770389 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 + 4)*-1 + (7 - -84696) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v + 8 + 0*v + 0 - 2)*(-10*v - 17*v - v) to w*v + b + g*v**2 and give g.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 161113 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 26208.\nAnswer: -131040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1674 (base 16) in base 14?\nAnswer: 2148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t. Let n(u) = -226*u - 19642. What is n(r(i))?\nAnswer: 904*i - 19642","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -147*n**5 + 2464*n**2 + 1 wrt n?\nAnswer: -8820*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in -5, -0.032, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyylylyylylyl. Give prob of sequence yyll.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62025*k**5 - 2*k**4 - 28*k**3 + 9494434*k**2 wrt k.\nAnswer: -3721500*k**2 - 48*k - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 p when four letters picked without replacement from {r: 1, v: 7, l: 3, j: 2, p: 4}.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*f + 180 = -72. Let p(m) be the first derivative of 9\/5*m**5 + 2 + 0*m**2 + 0*m**f - 4\/3*m**3 + 0*m. What is the third derivative of p(k) wrt k?\nAnswer: 216*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -5*z**3 + 156950*z**2 - 21899500*z + 765625000 = 0.\nAnswer: 70, 31250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 q when two letters picked without replacement from qwlqqlllqqrrlrlrrqq?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k**2 + 6*k - 2. Let b(f) = 4*f**2 - 5*f + 3. Let r(p) = 4*b(p) + 5*d(p). Let x be r(-10). Put -3, x, -5, 0 in descending order.\nAnswer: x, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*f**2*y**5 - 315020*f**2*y**3 + 6104*f**2 - 7*y wrt y?\nAnswer: -80*f**2*y**3 - 1890120*f**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (153\/119)\/(-1)*(-4)\/(-18)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -24670*t**2 + 273*t - 5. Let q be i(-1). Is q greater than -24949?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*z**2 + 9*z**2 + 18*z**2)*(-1 - z**2 + 1)*(-4 + 3*z + 4).\nAnswer: -108*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6422 + ((-656)\/(-66) - (-4)\/66)?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 262613 to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/31 and 43\/7.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s + 1. Let q(h) = 38*h**2 + 35*h + 40. Let g(a) = 105*a**2 + 105*a + 119. Let d(r) = -5*g(r) + 14*q(r). What is 2*d(l) + 70*z(l)?\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-82)\/(-88) - (-27)\/(-36).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 559943344 is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/648 and -157\/2754.\nAnswer: 11016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**8\/20160 + d**7\/840 - d**6\/240 - 19*d**5\/60 - d**2. Let v(z) be the third derivative of l(z). What is v(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 148394766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h - h + h + (-4 + 0 + 3)*(5*h + 0*h - 3*h) - 1 + 1 - h - h - 2*h + 4*h + 3*h + 0*h - h - 25*h - 18*h - 6*h to m*h + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from vvvvvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/9462 and 103\/42?\nAnswer: 66234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -12. Let u be 0 + -2 - o\/3. Suppose u*w = 3*w. Solve 2*z - z = w for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -25, -5, 4 in descending order.\nAnswer: 4, 1\/6, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*v - 5*x, 2*v - 5*v - 4 = -x. List the prime factors of ((-70)\/(-30))\/(v\/(-3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.80777um?\nAnswer: 0.00080777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 2*w**2 + 3. Let z be d(0). Let i be (-1686)\/(-10) + (-2)\/(-5). Suppose j = z*n - i, 2*n + j - 134 = -28. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 84 = 5*l. Let n = l + 10. What is the greatest common divisor of 3 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 120000064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28391 + 40091. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87955869?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 (base 12) in base 4?\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(20)*-6) - 5*(sqrt(288)*3)**2.\nAnswer: -12960 - sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**3 - 2*w**2 + w + 2. Let f be p(2). Let y = 63\/5 - f. Which is the closest to 4? (a) y (b) 3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 2*m = -19, -a - 136*m + 134*m + 13 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1171163 is divided by 234194?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-21))\/5*((-136)\/(-28))\/(150\/3675).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -7*l - 91. Let j be d(-39). Suppose -j*c + 189*c = 497. What are the prime factors of c?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h - 5*h + 3*h)*(0*h + 4*h - 2*h) + h**2 - h**2 + h**2 + (2 + 2*h - 2)*(-h - 3*h + 3*h) + 4*h - 4*h**2 - 4*h to the form d*h + o*h**2 + z and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1273*l - 896*l**3 + 2030*l**3 + 0 + 3321*l**3 + 3605*l**3 + 1 wrt l.\nAnswer: 48360*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.742 - -0.258. Suppose u + 3*u = -2*j + 14, -4*j + 18 = 3*u. What is the third smallest value in u, 0.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 - -12. Let n = o + -49. Let -27\/4*i**n - 3\/4 - 9\/4*i**2 + 15\/4*i = 0. Calculate i.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 1 = 3*c. Let b be 1\/(1\/c)*-1. What are the prime factors of (1 - -1)*b\/1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 3 - 45 = 0. Suppose 4*c = 0, 2*c = 3*y - 3*c - u. Find w, given that -1\/4*w**4 + 0*w + 1\/4*w**3 + 0*w**y + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -210*p*z**6 + 70*p*z**5 - 23*p*z**2 + 2*p*z + 2*p + 7*z**2 wrt z.\nAnswer: -25200*p*z**3 + 4200*p*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*a**3 - 2 + 2 + 110*a**3 - 57*a**3.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + -1 + 7 + -2. Suppose -g = -w*g. Which is the nearest to g? (a) 0.2 (b) -0.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 302 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 254208083 and 1574.\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 154 + 0?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60150.\nAnswer: 2, 3, 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -677013218 + 677012598.0000711. Let k = m + 620. What is k rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-94 + 104 + -21 + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from saasaa. Give prob of sequence ss.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 441*k**3 + 137 - 137.\nAnswer: 441*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160632*n**2 + 22377*n**2 + 323201*n**2.\nAnswer: 506210*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9\/4592 - 305287\/41328. Calculate the common denominator of a and 65\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d + 9. Let y be h(-8). Let k = -10 + y. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/44227 and -40\/10351?\nAnswer: 486497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5289878 + 0.0021.\nAnswer: 5289878.0021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 5*i - 85, -6*i + i + 95 = -x. Suppose 0 = 4*q + 5*q - i. Suppose 0 = q*l - 50 + 30. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -5. Let c = -11 - -27. Suppose -c*d = -18*d + 12. Sort h, 3, d.\nAnswer: h, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 53 - 12. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3836 - 3119.9. Let t = i - 653. What is t rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 7 + -2 + 0. Suppose -3*w = y - 114. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 4*f)*(-7 + 7 + 9*f)*(1 - 1 - 2*f) to g*f**2 + i*f + b*f**3 + n and give b.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -145*z**2 + 247*z**3 - 131*z**2 - 25*z**2 wrt z?\nAnswer: 1482","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dx when two letters picked without replacement from xddnjndxkjxssxdxd.\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 11*c**2 + 14*c - 10. Let y be q(-8). Let h = y - 60. What is the smallest common multiple of h and 21?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3017*c - 18004. Calculate o(-6).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/15)*b\/b**(-30\/11) assuming b is positive.\nAnswer: b**(637\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3852117516 + -1.8631.\nAnswer: 3852117514.1369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -m**2\/2 + 165. Let s(r) = -185*r**2. What is s(a(q))?\nAnswer: -185*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.59 - 0.41. What is the nearest to 1 in 6, -1, t, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100101010 (base 2) to base 12.\nAnswer: -20a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 11 + 2 + -13 + (1 - 26).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*a**2 - 574*a + 574*a.\nAnswer: 33*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = b, -3*b = 2*l - 4*b - 3. Suppose 3*g + 0*g - 77 = l*h, 0 = -3*g + h + 62. What is the remainder when 73 is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmmmmmmhbhmh. What is prob of sequence bm?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**4 - 2*d**2 - d**3 + 12*d - 2*d**3 + 60 - 21 - 23 - 19 to the form z + g*d**4 + j*d**3 + u*d**2 + p*d and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 0*u - 37*u - 12*u + 23. Let j be o(-13). Suppose -12*l = -16*l + j. Is 33 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*m + 0 = 5, -2*m + 2 = 0. Let v be x\/12*(-1)\/5. Sort -4, 4, v in ascending order.\nAnswer: -4, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -23991 + 1962. Suppose 7*b - 5197 = g. List the prime factors of b.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -4*d + 5*u + 120, 4*d = 2*u + 120. Let r(h) = -h - 13. Let z be r(-6). Let l = z + d. 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 the value of (4 - 1) + 5 + -11 + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s + 15. Let v(n) = 5*n + 11. Let i be v(-4). What is y(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7437 less than -7979?\nAnswer: -542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h - 39. Let s be w(14). Let y be (s + -4 + -1)*(-2)\/2. Suppose -3*i + 7839 = 5*c, -1133 = -y*c - 5*i + 1995. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 48.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of 2*f**3\/3 - 4*f. Let x(i) = -5*i**2. What is v(x(k))?\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2478?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fwu when three letters picked without replacement from {f: 2, w: 1, i: 1, u: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 2640?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**3\/z*z*z\/z**0)\/(z\/(z*z*z**(2\/11)*z*z)*z\/z**(1\/5)))**(-46) assuming z is positive.\nAnswer: z**(-16146\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -1, -294983 in decreasing order.\nAnswer: -1, -21, -294983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-59)\/708)\/(((-1)\/(-4))\/1)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2104*-0.01.\nAnswer: -0.002104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*u**3 - 8*u + 8*u)*(-2*u + 3 - 3).\nAnswer: -14*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54 + 31. Let r = 16 + j. Let p(x) = -x + 5. What are the prime factors of p(r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 71*t + 65*t + 52104 - 207960. What is the lowest common multiple of 3820 and t?\nAnswer: 11460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -155.8 + 156. Which is the nearest to 0.1? (a) -0.2 (b) f (c) -1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(2*sqrt(45)\/sqrt(5)).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -2\/19 (c) -5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**2 - 2*x + 6. Let k be 0 + (-7)\/(-35) - 2\/10. Suppose k*c + 36 = 9*c. Let m(q) = 3*q**2 - 2*q + 5. Calculate c*t(z) - 5*m(z).\nAnswer: -3*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -d + 0 + 1\/2*d**2 + 0*d**3 - 1\/4*d**4. Find the first derivative of b(m) wrt m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, i: 4, o: 4, t: 1, u: 3, d: 7}. Give prob of picking 1 d and 2 i.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/5, -1.52, -5, -16.7, -2\/11, -1\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2 - 12*z + 14. Let l(s) = -3*s**2 - 12*s + 13. Let p(d) = 3*l(d) - 4*y(d). Let v be p(11). Is 12 a factor of v\/(-3) - 60*1*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*j = -2*o + 6, -3*j - 5*o - 16 = 0. Let p be j\/(-9) + 0\/1. Is p > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 642 + -368. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 96\/(-9) - 1\/3. What is the units digit of 2\/3*b*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 258723 and 59109?\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*r - 13*r - r**4 - 1 + 25*r as v*r**2 + u + k*r + f*r**3 + n*r**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 349 + -2444\/7. Let y = 178680\/7 + -25471. Let s = 55 - y. What is the second biggest value in k, -0.5, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2608548.\nAnswer: 2, 3, 17, 19, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {y: 16, w: 1, l: 3}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227 = 125*j - 498 - 275 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 7*l - 2. Let h(d) = -21*d + 6. Let b(k) = 8*f(k) + 3*h(k). Let s(u) = -36*u - 3026. Let w be s(-84). Determine b(w).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33754931 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: Let y = 0.85 + -1.15. What is the biggest value in 0.3, y, -0.1, -0.07?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from giabaiflalaagb. Give prob of picking 2 a and 1 l.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 2*x**2 + 4*x + 1. Let o be p(-3). Let k = 0.58 - 0.08. What is the closest to o in 2, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -21. What is the third biggest value in -1, s, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 1724*n**6\/15 + 61*n**4 + 1944*n + 1. What is the third derivative of p(i) wrt i?\nAnswer: 82752*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.447 rounded to one dp?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b**3 - b + 2*b**3 + 1 - b. Let n = 636 + -635. What is q(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1445*g + 1437*g - 20 - 2896*g as q*g + h and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 261.70781 rounded to one dp?\nAnswer: 261.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-138)\/3)\/(-2 + 3 - 3). Let g = -2 + 2. Suppose c = -g*c + q. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2368795?\nAnswer: 5, 11, 13, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.3 + 7.7. Let c be (-56)\/(-35) - 170\/(-50). Put -6, k, c, -0.5 in ascending order.\nAnswer: -6, -0.5, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 7:24 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/(-26) + (-2253)\/312 and 89\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2351 + 513 = 786*q + 1306 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 533118689.93195.\nAnswer: 533118684.93195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5218 = -2*j, -2083 = -4*k + 2*k + 5*j. Does 57 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from vigimmiizzim.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3546 + -3506. Calculate the lowest common multiple of 980 and q.\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jll when three letters picked without replacement from {l: 2, j: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10.6 + 11.06. Let t = 13.46 - b. Sort -2\/7, -5, t in descending order.\nAnswer: t, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**5\/80 + 31*z**4\/32 + 21*z**3\/2 - 28*z**2 + 9. Factor l(p).\nAnswer: 3*(p + 3)*(p + 28)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276*q = 275*q. Suppose q = 8*y + 2*y - 30. Factor 1\/2*x + 75\/2*x**y - 15\/2*x**2 - 125\/2*x**4 + 0.\nAnswer: -x*(5*x - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*c*l**2 - 790*c*l*x + 2*c + 3*l**2*x - 2*l + 923*x - 1 with respect to c.\nAnswer: -7*l**2 - 790*l*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 131 - -5598?\nAnswer: 56c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 1:21 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 866 + -616. What is the remainder when z is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -z + 6 - 3, 2*c = 2. Calculate the remainder when 24 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64125176 and 8808?\nAnswer: 2936","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24983013229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**15\/w)\/w)\/(w**(-3)\/w))\/(w*w\/w**(13\/3)*w\/(w\/(((w\/(w*w**(-1\/5))*w)\/w)\/w))) assuming w is positive.\nAnswer: w**(302\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a decade in years?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - a - 14, -3*a = -3*l - 2*l - 42. Suppose 2*d = -4*z + 28, z = -2*z - 12. Let x = d + l. Solve -4*q = -0*q + x for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26\/857 - 73312\/12855. What is the common denominator of p and 40\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/88 and 35\/2504.\nAnswer: 27544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/3*3*(-294)\/42.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 - 2*z**2 + 12*z.\nAnswer: -2*z*(z - 2)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3*b + 24 = 0. Let v = b + 13. Let m(o) = 4*o - v*o - 2*o. Let q(t) = 2*t. What is q(m(h))?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23.5 + 91.2. Let u = 68 - l. Let r = -0.1 + 0.6. Which is the closest to u? (a) 0.3 (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(11\/5)*w*w*w)\/w*w*w**(-1\/5)*w)\/((w*w**(2\/3))\/(w*w*w\/(w*(w\/(w**(-9)\/w))\/w))) assuming w is positive.\nAnswer: w**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7757, 15342, 22913, 30464, 37989, 45482, 52937?\nAnswer: 60348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15806 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -1 - 3*l + 0*l - 3*l + 0*l. Let c(g) = -123*g + 522. Let b(j) = 77*j - 323. Let z(n) = 21*b(n) + 13*c(n). What is 17*q(r) + 6*z(r)?\nAnswer: 6*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wi when two letters picked without replacement from zzzizspitswi.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 5*x**2 - 9*x - 6. Let p be ((-3)\/4)\/(8\/832*13). Determine t(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3)*(-3*q**4 + 3*q**4 - 3*q**4)*(-1245 - 1259 + 2522)*(2*q + 2*q - 5*q).\nAnswer: 108*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 4*g + 5. Let d be u(-4). Suppose -2*s - 3*f + 19 + 34 = 0, -100 = -d*s - f. Solve a - 5*a - 2*z = 6, a = -4*z - s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51 or -53?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m + 3*x - 24 = 0, 304*m = 299*m + 5*x + 40 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 7*z**2 + 3*z - 8. Suppose c + 99 = 5*k, c + 15 + 8 = k. Let t = k - 25. What is f(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*u + 54, -2*u - 7 = -5*b + 3. Suppose -21 = 3*o + 24. Let q = u - o. Let v(m) = -m**2 + 4*m - 4. Give v(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(1 - 1 - t) + 884*t + 10 - 905*t + 1.\nAnswer: -19*t + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16127a5 - 215?\nAnswer: 1612590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 7*h**2 + 13*h - 7. Let i(j) = 4*j**2 + 7*j - 3. Give 6*c(b) - 11*i(b).\nAnswer: -2*b**2 + b - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -8*(-1)\/2 - -4. Find the second derivative of 4*s + 3*s**4 - y*s**4 + 3*s**4 wrt s.\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -348 - -348. Which is smaller: -1\/307 or u?\nAnswer: -1\/307","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*g**3 + 11327219*g + 50815276?\nAnswer: 36*g**2 + 11327219","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 24*y**2 + 9*y + 32. What are the prime factors of v(-5)?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6453427\/24780 + -1\/3540. Let d = g + -261. Suppose 4*q + 35 - 3 = -4*v, -2*q = -4*v - 2. Which is the second biggest value? (a) v (b) -2\/7 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19176?\nAnswer: 2, 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k. Let z(q) = 6485*q + 3. What is z(l(a))?\nAnswer: -32425*a + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 6*l + 1. Let d be h(8). Let v be (-3)\/d + (-558)\/(-10). Calculate the greatest common factor of 7 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1267\/3 + 422. Which is the third biggest value? (a) -0.3 (b) 0.02 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7\/(-28) - (-1)\/((-36)\/(-657)) and 27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2)*(12 + (-1 - 3)). What is the units digit of 1\/(o\/(-20)) + 330?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35970581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12076144521 - 0.2?\nAnswer: 12076144520.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y + 4 - 4)*(1 + 2*y - 1).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000914271806 rounded to 7 decimal places?\nAnswer: -0.0000914","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and 416?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -189952 rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(128) + sqrt(128) + 2)*-1 - (sqrt(128) - (sqrt(128) + 3 + 2*sqrt(128)))))**2 + -3*(sqrt(128)*-2 + -4 + 1).\nAnswer: 25 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 162 + -92. Let f = -73 + y. Let h(r) = -8*r - 22. Let b be h(f). Calculate the highest common factor of b and 28.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(-15))\/((-330)\/50))\/((-9)\/((-1998)\/37))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12617*v**3 - 4831*v**3 - 128*v**3.\nAnswer: -17576*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*h**2 - 53*h**2 + 20*h**2 + 2 + 19*h**2.\nAnswer: 16*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bcc when three letters picked without replacement from {b: 1, c: 4, q: 9}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80 + -12. Let m = j - 62. Let z be (76\/57)\/(-2*2\/m). What is the nearest to -0.1 in z, 0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 44*p + 424. Let v be y(-52). Suppose -3*b + 2*q + 21 = 0, 2*q - 7 = -3*b + 2. Put b, v, -4, 0 in ascending order.\nAnswer: -4, 0, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-three thirds of a century?\nAnswer: 17200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -g + 3*g - 1 + 0*g + 3*g - 20*g - 11*g + (1 - 1 + 2)*(-g + 2*g + 0*g) as t + l*g and give l.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2877.6753 minutes?\nAnswer: 47.961255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1298.\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1344 and 1393152.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 3. Let l be g(-6). Calculate the least common multiple of 6 and -27*(7\/l + 2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 976 and 110083528?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246 = -2*w - 4*x, -2*x + 466 + 38 = 4*w. Let p = 143 - w. Solve p*s = 19*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m + 13. Determine y(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*s**2 + 136\/5*s + 2312\/5.\nAnswer: 2*(s + 34)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-3))\/(2\/(-12)). Let t = 0 + 2. Suppose 6*i - t*q = i - r, -4*q + 8 = 5*i. Solve i*c = 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259*y = -78*y - 25340. Suppose 2*p + 176 = 3*x - 2*p, -4*p = -4*x + 232. What is the greatest common divisor of y and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32725236727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**4\/5 + 92576*l**3\/5 - 647954*l**2\/5 + 185124*l = 0?\nAnswer: 0, 2, 5, 46281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 0.4 (c) -1843 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -22*a**2 - 87*a**2 - 3*a + 15*a**2 - 7. Let v be h(-5). Let g = 322 + v. Round g to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 12) to base 11.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5572722, -11145463, -16718204?\nAnswer: -22290945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 1:54 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1782)*1 - sqrt(1782))\/(sqrt(288) - (sqrt(288) + -2*sqrt(288))) + 4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 406518084?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-4))\/((-68)\/(-272)). Put g, 4, -2, -14 in ascending order.\nAnswer: -14, -2, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 8 = l. Suppose -2*d = -l*z - 162, -5*z - 2*d + 6*d = 207. Is 19 a factor of (-3)\/(((-6)\/z)\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -128*t**3 - 2*t**2 - 19*t - 37. Is j(-3) 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 33185, 33176, 33155, 33116, 33053, 32960, 32831, 32660?\nAnswer: 32441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 10*j = -345. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17\/(-3) + -1)\/(-5*(-11)\/(-132))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) - -2*1*sqrt(475) - (sqrt(475) + -2 + 2))**2.\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4193965 + 1266606. Let k = l - -7927359. What is k rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 13, n: 1, j: 1}. What is prob of picking 1 o and 1 j?\nAnswer: 13\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v + 1 - 1 - 5*v in the form m*v + y and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 854 and 214983398?\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 121175132417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -492704\/45 + 10949. Let k(l) be the third derivative of 0*l + 0*l**3 + j*l**5 + 1\/144*l**6 + 1\/36*l**4 + 5*l**2 + 1\/1260*l**7 + 0. Factor k(g).\nAnswer: g*(g + 1)*(g + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 = -10*u - 47 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*r + 306 = 0, 3*g - 6*g - 3*r + 453 = 0. Calculate the highest common divisor of g and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51790 * -2.\nAnswer: 103580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**2 + 8*x - 7. Let l be n(-4). Let i(w) = -w**2 - w. Let g(o) = -o**2 - 12*o - 6. Let h(d) = -g(d) + 2*i(d). What are the prime factors of h(l)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1201329, 2402668, 3604007, 4805346?\nAnswer: 6006685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*j - 180*j + 46*j + 49*j + 31*j - 11 + 143*j**3.\nAnswer: 143*j**3 - j - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 676 is divided by 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 - -40. Let d(h) = 15*h**3 + 7*h**2 - 60*h - 52. Let t(o) = 10*o**3 + 5*o**2 - 40*o - 35. Let p(w) = u*t(w) - 5*d(w). Factor p(z).\nAnswer: 5*(z - 2)*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 167 = -63. Let p(b) = -b + 20. Give p(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**3 + 3*q**3 + 0*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(12*(-5)\/(-210)*7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/28076 and -119\/140380.\nAnswer: 140380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15074415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/(-21) - 12\/(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -760 = -2*w - 4*l, 0 = 2*l - 5*l - 15. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -278, -570, -866, -1160, -1446, -1718, -1970?\n\"Answer: f**3 - 8*f**2 - 275*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3691*y - 3704*y + 195 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/7 or 261.6?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 j when three letters picked without replacement from {j: 2, u: 2, r: 4, m: 2, a: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.9441 + 0.884. Let b = -2 - -2.06. Let c = r + b. Round c to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + m = 48259, -12*m + 11*m - 128687 = -8*k. What is the hundreds digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**3\/5 + 587234*n**2\/5 + 43113984976*n\/5 + 1249811749288\/5 = 0.\nAnswer: -146794, -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*y = -2750156 + 11247133. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -31013135 + 3?\nAnswer: -31013132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0190371 to 3 dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tktt. Give prob of sequence tktt.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2283, -9128, -20535, -36504, -57035, -82128, -111783?\n\"Answer: -2281*n**2 - 2*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -36*d - 16. Let g be c(-23). Let q = g - 501. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bobb when four letters picked without replacement from ooooooooboboooooobb.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8567 and 25779?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**2 - 3*a - 6. Let l(x) = 8*x**2 - 10*x - 18. Let v(k) = 4*l(k) - 11*q(k). Give v(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wqiiqxqxiq. What is prob of picking 1 w and 3 i?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*n - 1424 = 101*n. What are the prime factors of n?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c9 - -43?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a minute in seconds?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 25, 0.01, -17.\nAnswer: -17, 0.01, 1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*g**2 + 6*g**2 + 5*g**2)*(-3*g + 0*g + g).\nAnswer: -46*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463 is divided by 152.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2390 is divided by 108?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55 and 808049.\nAnswer: 4040245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 65123535 to the power of 1\/2, to the nearest integer?\nAnswer: 8070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 0. Let u(b) be the third derivative of -1\/30*b**6 + 0*b + 0 - 1\/30*b**5 + 0*b**4 + 1\/35*b**7 + 0*b**3 + 3*b**o. Find t such that u(t) = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**2 + 7*s + 33*s**3 - 7*s**3 + 2*s**2 - 2*s**4 - 7*s**3 - 13*s**3 in the form g*s**2 + t + c*s**3 + h*s**4 + o*s and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 1) + 2*2. Suppose -2*r + 84 = i*p - r, -p - r = -24. Suppose 47*y + 60 = 50*y. What is the least common multiple of y and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 p when three letters picked without replacement from {s: 4, j: 5, p: 2}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/5 - 22948*h**3\/5 + 35154678*h**2 - 451195609972*h\/5 + 13818828401689\/5.\nAnswer: (h - 7639)**3*(h - 31)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/19310 and -6\/2481335?\nAnswer: 4962670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 0*n**6 - 37\/210*n**7 + 0*n**4 + 68*n**2 + 0 + 0*n + 0*n**5 + 89\/6*n**3. What is the first derivative of b(f) wrt f?\nAnswer: -148*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4463*l. Let o(n) = -278*n - 2*n**2 + 24*n + 254*n. Give v(o(y)).\nAnswer: 8926*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338*z = -222*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/4)\/c**(-7))**(3\/22))**(-2\/23) assuming c is positive.\nAnswer: c**(-87\/1012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 5*j - 245 + 236, 16*l + 2*j + 66 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124, 498, 1130, 2020, 3168, 4574?\nAnswer: 6238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - 7) + 31 - 43 - -5\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 38, -4 in descending order.\nAnswer: 38, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-6) - (-975)\/45. What is the greatest common factor of h and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*j + 2. Let t(u) = -u + 29. Let o be t(23). Let m = o + j. Solve m*w - 5 = 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -57*q + 5366. What is p(92)?\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 615 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48992?\nAnswer: 2, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i + 44*i - 23*i = 0. Solve i = -4*y - 3 + 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1606437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 22 - 6 = -4*c, -1 = f. Let z be 32\/10*c\/(-2). What is the second derivative of -w**3 + w + w + z*w**3 + 4*w**3 wrt w?\nAnswer: 66*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 116.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d**2. Let l(k) = -2*k**2 + 3*k. Let o(s) = -7*s**2 + 11*s. Let a(f) = -22*l(f) + 6*o(f). Determine a(u(b)).\nAnswer: 32*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2511)\/(-4374) - 2\/27)\/((-2)\/(-12)). Let q = 0 - 1. Let m(n) = 8*n**2 + 2*n + 1. Let k be m(-1). Put 1, b, q, k in decreasing order.\nAnswer: k, b, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + 60 = -t. Let 189*w**4 - 72*w**4 - 85*w**4 + 18*w**3 + 4*w**2 + 14*w**t + 4*w**3 = 0. What is w?\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -210*j - 5230 - 10*j**4 + 5230 + 28*j**3 + 7*j**2 wrt j.\nAnswer: -240*j + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 5*h**2 - 6*h + 5. Let c be z(-4). Suppose 0 = -4*j - 4*q + 36, 0*j = 5*j - 4*q - c. Calculate the remainder when 23 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p + 5 = -9*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + -5)\/(-2) + 3. Let q be a\/4*65 - 2. Let y be (-4)\/(-18) + 64259986\/q. What is y rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45084 is divided by 7491?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -10026*l + 20048. Determine u(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 13*m + 26. What are the prime factors of f(-14)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 30 = -o, -5*u + 3*o + 118 + 48 = 0. Suppose 4*s = 5*s - 4. Let g(k) = -k**2 + 3*k + 8. Let x be g(s). Solve 4*w - x*v = 4, -3*w - w = 3*v - u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -170*j - 4587. Let r be x(-27). Factor 4\/15 + 2\/15*q - 4\/15*q**2 - 2\/15*q**r.\nAnswer: -2*(q - 1)*(q + 1)*(q + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11, 42, 119, 266, 507?\n\"Answer: 4*a**3 - a**2 + 6*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 8) + (-10 - (9 + -18)) + 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (2 + -8)) + -14 + 18 + 46 + 0?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8670 + -8646. Solve 86*v - 90*v = -s for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4518 - -49740\/11. Find the common denominator of -101\/2 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c9 + 7dea1?\nAnswer: 7dcc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.21990927 to 2 dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 87 - 53. Suppose -79 = -12*m + 5. Suppose 18 = -m*p + 88. What is the lowest common multiple of x and p?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13108*t - 37983 + 313251 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 3, -15626 in decreasing order.\nAnswer: 3, 2, -2, -15626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 50\/(-75) + (1 - 3572\/(-3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**3 - 8*r + 20*r - 3*r**3 + 4*r**3 + 5*r**3 - 5*r**3 + (r - r - 2*r**3)*(-4 - 2 + 4) to the form i*r + f*r**3 + g*r**2 + p and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 2, 1\/142, -16, -6 in increasing order.\nAnswer: -16, -6, 1\/142, 1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -82 (c) -3\/4 (d) -1.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 21*g**3 + 40*g**2 + 14*g - 23. Let q(i) = -7*i**3 - 14*i**2 - 5*i + 8. What is 17*q(n) + 6*z(n)?\nAnswer: 7*n**3 + 2*n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 631*j - 85918 = 597*j. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(-574)*(-20)\/8*(-2136)\/(-2225).\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9551.004 nanoseconds in milliseconds?\nAnswer: 0.009551004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*l + 5*i - 1426, -4*i - 548 = -2*l. Let x(r) = -15*r + 128. Let n be x(8). Is 7\/(-28) + l\/n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10676298 by -124143.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -751*p**2 + 6 - 5 - 14 + 750*p**2 in the form t*p + s + n*p**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 27.5427 * 174\nAnswer: 4792.4298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14*(-120)\/(-336))\/(-10)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 222482 (base 9) to base 13\nAnswer: 48758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d = -60*d - 528 + 1383 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5366, -10926, -16624, -22460?\n\"Answer: -69*h**2 - 5353*h + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26509667.\nAnswer: 26509667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 34*o**2 + 745*o - 5320. Calculate p(11).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -351 + 354. Sort x, 5, 10, 7 in increasing order.\nAnswer: x, 5, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 246 + -156. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(1\/3)\/((-2)\/(-9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 10:56 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1973705 is divided by 271?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 8:16 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5213510 divided by -1042702\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 128 - 126. Solve -3*k + 13 = -3*c + 4, -6 = -y*k for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5283260?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000422275901 to 6 decimal places.\nAnswer: 0.000422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = t - 6*t. Let x = -0.104 + -0.096. Let c = -58.4 + 58. What is the nearest to 1 in x, t, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 55626 and 281499294.\nAnswer: 281554920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-4))\/(945\/1260)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -378 = -106*d + 46 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 32 = 2*s, -3*s - 11 = -5*q - 51. Calculate the greatest common factor of s and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 271.3433ml to litres.\nAnswer: 0.2713433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1171, 2338, 3507, 4678, 5851, 7026?\nAnswer: 8203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 5*y**2 + 2*y - 1. Let b be m(5). Let x(j) = j**2 + 0 - 9*j + 2 + 3. Let p be x(b). Solve 0 = 4*a - 0*o - p*o - 1, -2*o = -6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1771882, -1771848, -1771814, -1771780, -1771746, -1771712?\nAnswer: -1771678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-1)*7\/((-280)\/(-30))*33\/(-55).\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054310 + -35?\nAnswer: 1054275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 4 = t, -4*t + 62 - 82 = -5*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 40*y**2 + 69955*y + 348769. Give f(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s**3 - 9*s**2 - s - 5. Let i be t(-6). Suppose -2*d + i = 5*w, 8*w + d - 107 = 7*w. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2939*j**2*r**4 + 13722*j**2*r**2 - 15*j**2 + 6*r**5 - r**4 - 2*r**2 - r wrt r?\nAnswer: 70536*j**2*r + 360*r**2 - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a**4 + 23813*a**2 + 444.\nAnswer: 8*a**3 + 47626*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 150 + 134 = 0. Let n be (9\/1 - 5)*-1 + j. Which is smaller: 2\/33 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-1)*4\/5. Let w(q) = -q**2 - 5*q. Let o be w(n). Suppose -24 = o*z - 236. What is the remainder when z is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9 + -3 - 7)\/(1\/(-3)). Let q be (-8)\/(-3) - (-6)\/(-9). Suppose 0 = -g*j - 6, a + q*a + 3*j = 3. Sort -0.1, a, 1\/9 in ascending order.\nAnswer: -0.1, 1\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15895207*q**2 + 3*q + 2521231 wrt q.\nAnswer: 31790414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -12135 (c) -0.2 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15145580 to the power of 1\/2, to the nearest integer?\nAnswer: 3892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*u + 6*u - 3*u)*(5 - 2 - 5)*((-2 + 5 - 1)*(0*u + 2*u + u) + u - u - 15*u) as j*u**2 + v + z*u and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -0*b - 3*b - 19, -3*b - 5*h = 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - h + 0*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8216 is divided by 42?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 524255 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/9)\/(2\/(-24)). Let w = 0.811 + -0.611. Which is the fourth biggest value? (a) 0 (b) 3 (c) w (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2. Let p(d) = 4*d**2 - 179*d - 45. Let l be p(45). Let o(f) be the second derivative of -7\/3*f**3 + 0*f**2 + l - 11*f. Calculate o(v(x)).\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1010997.\nAnswer: 3, 13, 8641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3395 and 59711260?\nAnswer: 59711260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2\/5)*j)\/(j*j*(j*j**5)\/j))\/(j\/j**(1\/3))**(-6)*(j*j\/(j*j\/j**(2\/7)))**(9\/8)*(j\/(j**(-2)*j))**(-7) assuming j is positive.\nAnswer: j**(-2111\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44659721 and 138?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 8*r**2 - 501*r + 4238. What is b(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**6\/120 + 7*u**5\/60 + u**3 - u**2. Let p be c(7). Let w(y) = -y + 1 - p*y**2 + y - y. Give w(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ccccccfcf?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 9:09 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 200 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w**2 + 4*w + 8. Calculate the remainder when d(-2) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 13 = 5*h, -h = -0*h + 4*r + 10. Suppose 2*c + 2*d = 32, -h*c = -2*d - 0*d - 28. Let q = -18 + c. Which is greater: q or -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 332682 = -6*u + 10*u - 316034. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18 + -10c?\nAnswer: -c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1812 = -15*t + 558. Suppose -b - 2*x = -t, 0 = -b - 3*x + 5*x + 158. What is the remainder when b is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of r**3 + 25. Let i(q) = q**2. Calculate g(i(t)).\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11\/5 + -13\/5. What is the nearest to -1 in p, -4, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22 - j - 14 + 3)*(3*j**2 + 3*j**2 - 24*j**2)*(0*j - j + 0*j) to the form u + h*j + w*j**4 + n*j**2 + k*j**3 and give k.\nAnswer: -594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t + 36 - 78 = -3*v, 5*t + 32 + 7 = 5*v - 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18\/5*r + r**2 - 8\/5.\nAnswer: (r - 4)*(5*r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19366811.2 take away -0.819?\nAnswer: -19366810.381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*5\/9*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (-4 + 13)\/(-3). Determine m so that 10*m + 0*m**2 - 25 - 2*m**2 + m**u = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 3*z + 5. Let y be q(6). Suppose -5*o - 6*i + y = -2*i, -2*o + i = -4. Let m(p) = -5*p + 3 + 0 - o. Let t(n) = -n. Calculate m(t(k)).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -638*s - 6. Let g(d) = -4*d**2 + 23*d + 5. Determine g(z(i)).\nAnswer: -1628176*i**2 - 45298*i - 277","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 51*u**7\/7 + u**6\/6 - 167*u**3\/3 + 18. What is the third derivative of c(r) wrt r?\nAnswer: 6120*r**3 + 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 173 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -10, -9, 20340, -8 in decreasing order.\nAnswer: 20340, 0, -8, -9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -110.132 - -0.132. Let s = k + 49. Let m = 61 + s. Which is the nearest to 0? (a) -1\/4 (b) m (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 257544 by 64386.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**8\/336 + 61*m**7\/210 + 21*m**5\/5 + m**2 + 58. What is the third derivative of h(u) wrt u?\nAnswer: 60*u**2 + 1464*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*g + 41*g = 120 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n\/(n**4*n))*n)*n)\/n**0 assuming n is positive.\nAnswer: n**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 26*a = 17, -4*a - 96 + 193 = 3*n + 92 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z**4 + 64500*z**3 + 32840250*z**2 + 4182762500*z + 20100871875 = 0. What is z?\nAnswer: -245, -5, 13395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2221222020111 + -10212?\nAnswer: 2221222002122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -301117993*p**3 - 3*p - 90290978 wrt p.\nAnswer: -1806707958*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -15 (c) 3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3300)*1*-4 - (6*(sqrt(3300) - 2*sqrt(3300)) + sqrt(3300)))\/((-6*sqrt(30)*2)\/(5*sqrt(30)\/sqrt(3))).\nAnswer: -25*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*k\/k**(-16)*k\/k**(7\/5)*(k\/(k*(k**(1\/17)\/k)\/k))\/(k\/k**(-12)) assuming k is positive.\nAnswer: k**(641\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 570591 to the nearest integer?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -205541.\nAnswer: -822164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 60.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -127? (a) 13 (b) -137 (c) -0.64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 8:07 AM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25527.73 and 0.5?\nAnswer: -12763.865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 264\/27 - (-4)\/36*2 and 104.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68 divided by -20864\nAnswer: 17\/5216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*v + 10*v - 6*v - 42 + 28 wrt v?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*h + 11*h**3 + 26*h - 12*h)*(0 - 10 + 0 - 2*h) in the form v*h**3 + r*h**2 + u*h + q + x*h**4 and give v.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -133.7 - -0.7. Let u = g + 128. Which is the closest to -0.1? (a) u (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 6*w + 12. Let k be r(4). Let a(t) = 2*t**3 - 7*t**2 + 8*t - 11. Let b be a(5). Suppose k*u = 2*x - 88, -2*x - 3*u - u = -b. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -0.16 (c) -8\/15 (d) 84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17945774 a multiple of 1102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 26 = 90. Suppose -p*s = -13*s - 417. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**5 - 112*i**4 - 1216*i**3 - 4136*i**2 - 5700*i - 2664 = 0. Calculate i.\nAnswer: -3, -2, -1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1136, -2213, -3290?\n\"Answer: -1077*n - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2750 and 51590.\nAnswer: 1289750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5896 and 14019080.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -489330 (base 10) to base 2\nAnswer: -1110111011101110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 12 = 0, 0*d = 4*d - 4*n - 12 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*j = 39*j - 10. Let b(h) = -2*h + 19. Let r(l) = l - 1. Let k(y) = b(y) + 3*r(y). Let z be k(j). Calculate the highest common factor of z and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*h + 110*h**5 - 70*h**5 - 39*h**5 + 217*h**2 - 2*h**5 - 4*h**5 + 3*h**5 + (-3 + 3 - h**4)*(-h + 2 - 2).\nAnswer: -h**5 + 217*h**2 + 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 11. Suppose -3 = -0*a - 5*a - 3*i, 5*i + 20 = k. Calculate the greatest common factor of 2 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 9*m - 157. Let p be q(9). Let w = -7 - -13. Suppose -4*n + p*z = -15, -z = z + w. Which is greater: -5\/4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 12:16 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -822\/11 - -5095\/66. Find the common denominator of c and 137\/264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -826*n - 843*n + 2520*n - 846*n + 4.\nAnswer: 5*n + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y\/(y**(-2\/9)\/y))\/((y**(3\/5)*y)\/y)*(y\/((y**(-1)\/y*y)\/y))\/y*y**(2\/9)\/y)\/(y\/y**(-2\/7)*y*y\/y**5)**(1\/23) assuming y is positive.\nAnswer: y**(35638\/7245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a + 6 + 1 + a**2 - 3 - a. Is d(4) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 205417 to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 3755956?\nAnswer: 33803604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -45. Calculate the greatest common factor of 24 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49100486?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Add 4.01 and 1.5.\nAnswer: 5.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 53 (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -215, 3, -1.15, -5\/3, -0.1.\nAnswer: -215, -5\/3, -1.15, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1001 + -997. Suppose 12*v = 16*v + x*y, y - 3 = -4*v. Let n(a) = -a**3 - 5*a**2 + a - 2. Let h be n(-5). Put v, h, 0 in decreasing order.\nAnswer: v, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 4*l**2 - 2*l + 9. Give m(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/11 and (-54)\/20*(-1)\/(-6)*-8.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -2. Suppose 0 = 137*s - 127869 + 128280. Sort s, x, 5 in decreasing order.\nAnswer: 5, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -12.3 from -14441.\nAnswer: -14428.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*y + 981 - 636 - 167 - 180.\nAnswer: -43*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence akcs when four letters picked without replacement from {f: 4, k: 4, s: 2, a: 1, g: 2, c: 1}?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*l = 24, 0*l = g + 2*l - 9. Find the second derivative of 4*b**3 - b**3 + g*b + 2*b wrt b.\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1975824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/212 and 83\/4.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22578 and 2226.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*m + 55 = 0, 6*h - 90 = 2*h - 2*m. Suppose 25 = 5*d + h. Let y(l) = -l**3 - 2*l**2 + l + 60. Does 12 divide y(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 6:14 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 202695359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21222*q = -20721*q + 19038 for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(10)\/sqrt(2) - (sqrt(240) + sqrt(60))\/sqrt(12).\nAnswer: -2*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 0*c - c = 1465, -2*b - 4*c = -608. Let x = -508 - -1089. Let f be x\/14 + (-4)\/(-8). Calculate the greatest common factor of f and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**2 + 424064*k - 11239392256 = 0 for k.\nAnswer: 53008","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/(-154))\/(-9*18\/26082).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**2. Let u(a) = -255*a**2 + 35*a. Let m(x) be the second derivative of -5*x**4\/4 + x**3\/3 - 14*x. Let r(d) = 70*m(d) - 4*u(d). What is r(y(n))?\nAnswer: -120*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 5 (c) 0.04 (d) 2\/75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/5, 80 in increasing order.\nAnswer: -1, -1\/5, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (240\/104)\/((-178)\/2314).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8714*b**2 - 138019?\nAnswer: 17428*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.104, 0.3, 2 in decreasing order.\nAnswer: 2, 0.3, 0.1, -0.104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 66 = 2*q - d, 16 = 4*d. Let p(x) = -15*x - 1. Let z be p(1). Let y = z - q. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8, 2, 4, -5, -6, -111 in descending order.\nAnswer: 4, 2, 1, -5, -6, -8, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7025546131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeo when three letters picked without replacement from oppreut.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-7)*t*t**(-2\/3) assuming t is positive.\nAnswer: t**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 4*o**2 - 6*o - 3. Give n(6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(-23\/2)*g*g*g**27\/g assuming g is positive.\nAnswer: g**(81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 213, 207, 191, 159, 105, 23, -93?\n\"Answer: -v**3 + v**2 - 2*v + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*n - 44, h - 21*n = -19*n + 20. Sort h, -5, 11.\nAnswer: -5, 11, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001241623284 rounded to six dps?\nAnswer: -0.001242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/2013 + 448\/671. Let h = -32.012 + 0.012. Let g = h + 21. Sort -0.5, g, s in increasing order.\nAnswer: g, -0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - (1 - 7))*1. Solve -q = -m*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -86861 at most -86861?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(325))**2*6*-5 + (3 + 5 + (3*sqrt(325) - sqrt(325)))**2.\nAnswer: -37636 + 160*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 25, 3*s + 4*a - 18 = a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-1*4\/2). Let g be -3 - (0 + 2\/d). Let w = 27 - 32. Sort -4, g, w.\nAnswer: w, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1340 and 300.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j - 1. Let f(a) = 9*a + 3. Let t(x) = 6*f(x) + 30*y(x). Let r be t(-3). What is the highest common factor of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.4, -43904, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4975.\nAnswer: 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/151 and 9\/84*(-210)\/4?\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 47?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 3 + (-9 - (-6 + -7) - 3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 12*x**2 - 15*x - 13. Calculate k(-11).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -644510 divided by 128902\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*u = -134, -48*a + 5*u + 73 = -46*a. Let q(n) = 11*n + 3. Let p(d) = -66*d - 17. Give a*q(k) + 6*p(k).\nAnswer: -22*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4229005*t + 10078974 with respect to t.\nAnswer: -4229005","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 6\/583, 1 in decreasing order.\nAnswer: 5, 1, 6\/583, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 160*t**3 + 2*t**2 - 81*t**3 + 5*t - 80*t**3 to the form v + y*t + j*t**3 + s*t**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 4*y + 7*y)*(-15 + 15 - 6*y)*(-2 + 3 - 3).\nAnswer: 132*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.02 and 307.\nAnswer: 306.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (11 - (-11 + 14)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-77)\/(-14) - ((-8)\/(-2) + -5).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q + 4*q + 0*q - 1 + 1 - q + (-3 + 4 - 2)*(-3*q - 2*q + 6*q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2019\/23 + -87. Let u = m + -218\/161. What is the nearest to 1 in u, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12618 - -98.4\nAnswer: 12716.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466099.\nAnswer: 47, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a - 3 + 3)*(-2 - 1 + 6)*(4 - 5 + 3)*(-3*a + 9*a - 4*a + 1) to z*a**2 + k + m*a and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71395\/18 + -3960. Find the common denominator of 13\/1022 and t.\nAnswer: 9198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 1\/8, 0.3, -1635, 15\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5 >= -100\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*v + 9. Suppose 3*c - 26 = -11. Put -3, v, c in descending order.\nAnswer: c, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.94 rounded to 0 dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttt. Give prob of sequence tt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1062 - -1915. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612) + (2*sqrt(612))**2*2 + (sqrt(612) - (sqrt(612) + 2))*3 + 3.\nAnswer: 6*sqrt(17) + 4893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88540*98.\nAnswer: -8676920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 3*v**2 - 5*v - 3. Let f(p) = p**3 + 8*p**2 + 10*p - 14. Let h be f(-6). Let x be ((-6 - h) + 1)\/(2 - 1). Calculate z(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3)*o**(-1)*o*(o**(-1\/7)*o)\/o*o**0)\/((o*o*o**1*o*o*o\/o**2*o)\/(o**(-1))**(-42)) assuming o is positive.\nAnswer: o**(237\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three fifths of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 21*n - 4*n**2 + 7*n**2 + 13 - 5*n**2. Let t be i(7). Suppose t*l - 14*l = -5. Which is the nearest to 0.6? (a) 0.1 (b) l (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04832 and -2.8?\nAnswer: 0.135296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1) + -8 + -10 + 18 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -38*s - 13. Let z(a) = 11*a + 4. Let k(h) = -2*t(h) - 7*z(h). What is k(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 2 + 2)*(-6*x**4 + x**4 - 7*x**4)*(1 + 1 - 5).\nAnswer: -36*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9257791*k + 2*k**3 + 9257791*k.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 4)*(2*o - 5*o - 14*o).\nAnswer: -17*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(364) + sqrt(364) - sqrt(364))\/sqrt(7))\/(sqrt(4) - (sqrt(44)\/(sqrt(110)\/sqrt(10)) + sqrt(4)))*-3*-3)**2.\nAnswer: 9477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -70*r - 1033 + 856 - 3156 - 517 for r.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0*(-2)\/4*-1)\/2. Suppose -4*d - 20 = d. Let g(p) = p**3 + 6*p**2 + 3*p - 4. Let b be g(d). Solve 4*q = -u*q + b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(539))**2 + sqrt(33)\/sqrt(3)*-2.\nAnswer: -16*sqrt(11) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 4*v**4 - 40*v**3 - 228*v**2 + 40*v + 224 = 0?\nAnswer: -4, -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -2\/11 (c) 3\/4 (d) -0.055 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*x - 21*x - 107*x.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-315)\/(-147))\/((-4)\/(-112)*4)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6428\/11 + 586. Find the common denominator of p and (-300)\/(-8) - (-1 - 2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 4827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -101100111100?\nAnswer: 101101000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1843333, -3686612, -5529891?\n\"Answer: -1843279*h - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 7*g**3 + g**2 + 6*g - 6. Let x(t) = 6*t**3 + t**2 + 5*t - 5. Let l be 8 - (-2 - (-5)\/1). Determine l*h(k) - 6*x(k).\nAnswer: -k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 13 - 7*r**2 + 17 + 9.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 163\/2 - 245\/3. Sort 6, 2, s, -0.3.\nAnswer: -0.3, s, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -141, -303, -519, -783, -1089, -1431?\nAnswer: -1803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 5*a + 41. Give h(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2788625 (base 9) to base 16.\nAnswer: -176c4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 2\/3*30. Suppose -3*j = 3*h - 18, 3*h + j - s = -j. Differentiate 9 - h + 2*w**4 - 3*w**4 wrt w.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 87150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4\/(f*(f*f*f*f**(1\/7))\/f))**(-3\/20)*f*f**(-2\/5)*f**5*(f\/(f*f\/(f\/f**5)*f))\/(f*f**(-4)) assuming f is positive.\nAnswer: f**(173\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 24 = 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -78, 1, 4?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1416262, -2832524, -4248786, -5665048, -7081310?\nAnswer: -8497572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**5 + 0*f**5 - 2*f**5 + (26*f**2 + 3*f**4 - 26*f**2)*(4*f + 2*f - 3*f) + 20*f**5 + 8*f**5 - 13*f**5.\nAnswer: 22*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 585 + -661.5. What is a rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -o + 12. Let c be (-3)\/2*16\/o. Solve 3*i = 3*d, -c*d = 5*i + d - 30 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 y when four letters picked without replacement from {w: 7, o: 12, y: 1}?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 359051, 359052, 359053?\nAnswer: 359054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*((-104)\/8)\/(-52)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -215 + 355. Suppose -6*n - 134 + j = 0. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cqlcclclclc. What is prob of sequence lcc?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 5\/(2*(-1)\/32)*(-102)\/12?\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7*g + 165 = 0. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*v + 4 - 5*v + 14*v + 7*v to o*v + n and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -11. Let h = t - -5. Sort -1\/2, h, -3 in increasing order.\nAnswer: -3, -1\/2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5766513 is divided by 403.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38503 is divided by 255?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggb when three letters picked without replacement from gggggbigigb?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41682413?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -43*s - 213. Let z be q(-5). Solve z*j + 5 = -3*l + j, l - 3*j - 5 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.048418.\nAnswer: 0.024209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5505 = 19*d + 5847 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 - 218890*b - 875480.\nAnswer: -5*(b + 4)*(b + 43774)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/45)\/(t*t**1)*(t\/t**(-1\/3))**15 assuming t is positive.\nAnswer: t**(812\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*n - 38*n - 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 10) in base 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - m - 6. Let v be -2 + 1 - (4 + -7). Suppose 0 = b - v*b. Determine u(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30736083*y**3 - 5*y**2 + 8*y - 10671?\nAnswer: 184416498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3 + 4 = 0. Let f(x) = -2 - 3*x - x + w*x - 2*x. Let m be f(0). Let n(k) = k**3 + 3*k**2 - 2*k - 2. Calculate n(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10 + -36 + 36 + 12. Let h(b) = 26*b + 13. Let g(v) = -13*v - 6. Let w(f) = 13*g(f) + 6*h(f). Let n(r) = r. Calculate j*n(a) + 2*w(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 l, and 1 d when three letters picked without replacement from {l: 1, w: 1, d: 6, k: 1, x: 8}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 573831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**7*j*j**3)\/((j*j**(-2\/11))\/(j\/(j*j*j\/j**(-1\/10)*j))) assuming j is positive.\nAnswer: j**(779\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 0 + 8 + -9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4094, 4098, 4112, 4142, 4194?\nAnswer: 4274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 - 17. Let v(g) = -5*g + 14. Let n be v(6). Let r = n - -22. Solve -m = r*u - 2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-513)\/(-3)*34\/(-5814)*-57\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/8)\/((-22)\/(-880)*-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/6 + 3\/9. Suppose 3*g - 8 - 10 = j. Suppose t - g = 5. What is the remainder when 32 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-18 - (0 - 17)). Put -166, i, 1 in descending order.\nAnswer: 1, i, -166","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/135317821 or -1?\nAnswer: 2\/135317821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-16)\/4 - -42 - -3?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2558.434ns to seconds.\nAnswer: 0.000002558434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, y: 2, v: 1, i: 1, g: 1, c: 1}. Give prob of sequence vigu.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -31106 bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**2 + 6. Let g(w) = -3 + 19*w**2 - 10*w**2 - 10*w**2. Let y(t) = -13*g(t) - 6*r(t). Differentiate y(n) with respect to n.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(1\/4)*h)\/h*h*((h**(-2)*h)\/h*h)\/h*(h*h**(-3\/4))\/h*h*h*h*h**(-1))\/((h**(-8)*(h*h**(-2))\/h)\/(h\/h**(-3)*h**(-5))) assuming h is positive.\nAnswer: h**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000192825099 to 7 dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -1108*u + 2219. Determine g(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 9. Let u(t) = 3*t + 3. Let n(b) = -b. Let r(c) = 10*c + 6. Let m(w) = -5*n(w) - r(w). Calculate p*m(j) + 7*u(j).\nAnswer: j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -4, -474.\nAnswer: -474, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 0*k. Suppose k*v = v - 1. Solve 4 = 3*n + v for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3\/4)\/(v\/(v*v**(-7)\/v*v)))\/(v**1*v**(-1\/2)*v*v))**(4\/7) assuming v is positive.\nAnswer: v**(-41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-4)\/(-4))\/(-4))\/((-7)\/532). Let w = q - 16. Solve -w - 1 = -l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(2*f**2 - 2 + 2) + f**2 - 2224*f + 2224*f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 152607787?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 + 337087272?\nAnswer: 337087271.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*q*r**3 + 4577*q*r**2 + 15*q*r - 2*q + 28*r**3 - 4*r**2 + 499*r - 7 wrt r.\nAnswer: -48*q*r + 9154*q + 168*r - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 992 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.057 * -0.18902\nAnswer: 0.01077414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -42. Let k = l + -25. Does 15 divide -35*(k + (-36)\/(-28))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64 + 187. Calculate the remainder when d is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 10413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 7*m - 10. Give u(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.375, -0.4, -1\/9, -2\/53?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4373)\/(7\/(-7) - 0) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 200 = m - 6*m, 5*m + 3*p + 208 = 0. Let n = m - -40. What is n rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6532218137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 8*g**2 - 3*g + 26. Let t be n(8). Let i = -14 - -49. Let w = i - 31. Solve -5 - 9 = -w*s + t*l, 3*s + 2*l - 14 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*s + 4327 + 8933 = 145*s for s.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 16 (c) -1\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3575.23798 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14.7 - 0.7. Let x = -14.22 + a. Let f = 0.02 + x. Is -0.2 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s**3\/5 + s**2 + 2*s\/5 - 8\/5 = 0. Calculate s.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -43*p + 25. Let o(n) = -22*n - 5. Let b(x) = 5*o(x) - 3*q(x). What is b(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1786, 1282, 778, 274?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*d - 4*d. Let j(f) = d*f - 2*f - f + 3*f. Let n(y) = 5*y. Calculate j(n(c)).\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a milligram in micrograms?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5\/9 + c**4\/9 - c**3\/3 - c**2\/9 + 2*c\/9.\nAnswer: c*(c - 1)**2*(c + 1)*(c + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1180386116?\nAnswer: 2, 7, 13, 641, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38 and -4\/111.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24810 is divided by 12386?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -22. Suppose 0 = -r - b*r + 6. Suppose -5 = r*d + 3*d. Let z(j) = 5*j**3 + 2*j**2 + 2*j + 1. Calculate z(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jkkkjjk. What is prob of sequence kjj?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 18 (b) -0.0017 (c) 0.282\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29788 = -664*i + 20*i - 164*i + 13036 for i.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*y + 13267 = 11986 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w - 3. Let g(y) = y - 2. Let u(n) = -6*g(n) + 5*v(n). Let d be u(-6). What is the second derivative of -2*t**3 + 5*t**d - 2*t**3 + t wrt t?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1087 is divided by 45.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwfyyyx. Give prob of picking 1 y and 1 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a gram in milligrams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-4))\/((-6)\/(-4)). Let k(x) = 55*x**3 - x. Let z be k(l). Let m = z + -30. Calculate the greatest common factor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 0. Let n(q) = u*q**2 - 4*q**2 - q**2 - q + 2*q**2. What is n(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13499316 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 79935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (25\/5)\/(1 + 0). Let b(l) = l**3 - 4*l**2 - 4*l - 5. Let a be b(p). Suppose a = 4*z + 3*o - 51, 2*z - 32 = -z - o. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -418*l + 431*l = -39 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 174 from 99504.\nAnswer: 99330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -17. Which is smaller: h or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -4*b + 24, -5*b + 29 = -b + 5*v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 337093179 to the power of 1\/2, to the nearest integer?\nAnswer: 18360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*b - 64*b + 2 + 2*b**2 - 2 + 86*b - 6*b.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74611 is divided by 6776.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3d5 + -80?\nAnswer: -455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**5\/20 + y**4\/6 - y**3\/2 + 2*y**2 - 6*y. Let m be n(-3). Solve -m*u - 25 = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 6*b**2 + 22*b + 12. Let q be g(-7). Which is smaller: q or -96?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 5 + 2)*(0*t + 0*t + t)*((1 + 4 - 2)*(-3 - 6 + 1) + 1 + 2 - 1) to the form q*t + k and give q.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -6\/20093 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 20\/3 - 98\/9*s + 2\/9*s**3 + 38\/9*s**2 - 2\/9*s**4 = 0.\nAnswer: -5, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 569664?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20121222 (base 3) to base 11.\nAnswer: 36a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.16 and 7.3.\nAnswer: 1.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 128 - 58. Calculate the lowest common multiple of (64\/6 + -8)*(-99)\/(-12) and n.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 - 97 = 4*t + m, -2*t + 3*m = 12. Is t greater than -1\/452?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -s**4\/24 + 2*s**3 - 4*s**2. Let u be i(9). Suppose 0 = 2*q - u*l + 16 - 116, 5*l = -5*q + 225. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3802*g - 27 = -3799*g, -173*q - 3*g = 546 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 30 = 6*i. Let m = i + -2. What is the remainder when m is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 402244237?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8611 - -17911. Round t to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 254*a - 15874. Give q(-143).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -3*z**2 - 726*z + 2205 = 0.\nAnswer: -245, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5300 (base 7) to base 8\nAnswer: -3506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 321.4868 - -12.1652. Round a to the nearest 10.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 238 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/((-180)\/8) + 56\/10. What is the third derivative of 3*m**5 + o*m**3 + 7*m**2 + 13*m**2 - 6*m**3 wrt m?\nAnswer: 180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -171\/2 - -84. Sort 1\/9, 0.1, -1, g in increasing order.\nAnswer: g, -1, 0.1, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 657\/(-8322)*-8*1\/(-18).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 4:08 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y**2. Let n(u) be the third derivative of -u**3\/6 + 17*u**2. What is i(o) + 2*n(o)?\nAnswer: 4*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 14, w: 2, z: 1}. What is prob of sequence wyw?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (46\/(-69) - 6466\/(-150)) + -4. Let o = z - 77\/2. Is -1 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-5) - (-6152)\/20. Let q = a - 183. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a gram in milligrams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + p**2 - p + 1. Let x = -3078 - -3077. Let f(q) = 8*q**2 - 8*q + 8. Calculate x*f(i) + 8*g(i).\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, 26 in increasing order.\nAnswer: -2, 6, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 7*c**2 + 4. Let f(d) = 11*d - 8*d - 5*d. Calculate f(o(b)).\nAnswer: -14*b**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 5*i - 3. Let b be f(3). Suppose 5*o + 2*n + 30 = -3*n, b*o = n - 26. Put -0.4, o, 3 in descending order.\nAnswer: 3, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1928425 millilitres?\nAnswer: 0.0001928425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -77 + 189 - 64 + 5260*s - 50 as y*s + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 10, 22, 50, 100, 178, 290?\nAnswer: 442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1 + -3 + -3*sqrt(1700))**2.\nAnswer: 240*sqrt(17) + 15318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 2*u**2 - u**2)*(-u - 3 + 3) - 688*u**3 + 2011*u**3 + 588*u**3.\nAnswer: 1909*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2326 (base 7) to base 8\nAnswer: 1525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 76290 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 101104 (base 8) to base 11\nAnswer: 23067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 743*j + 2713 - 788 + 8477 = 0 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**6\/45 - 3*y**5\/25 - 2*y**4\/15 + 8*y**3\/45 + 183*y. Solve s(f) = 0.\nAnswer: -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000085839 to six dps.\nAnswer: 0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 6:44 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g - 5. Let r be q(-9). Let x be 5 - (19\/19 - (-31)\/1). Let b be (39\/(-9) + r)*x. Solve -3*j = 6 - b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2186*k**3 - 6635*k**3 + 2192*k**3 - 185 + 2254*k**3.\nAnswer: -3*k**3 - 185","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -15*m. Let v(j) = -2*j**2 + 2*j - 11*j + 9*j. Calculate v(g(c)).\nAnswer: -450*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4676 and 243820.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5d419 (base 16) to base 7\nAnswer: 3150431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -423 (base 11) in base 4?\nAnswer: -13331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8012 - 7196. Calculate the smallest common multiple of 198 and t.\nAnswer: 26928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -293.969 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -5099184?\nAnswer: 20396736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 261 - 261. Let i(n) = -2*n. What is i(d(k))?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 49167.222 - 0.2?\nAnswer: 49167.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 2911052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1263\/19 greater than 66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 578158?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-18)\/120*4\/(-6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**2*m**3 + 8*j**2 - 219*j*m**3 + 14*j + 5*m**3 - 18*m**2 wrt m.\nAnswer: 6*j**2 - 1314*j + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2\/11)*z**(2\/3)\/z)**(9\/2) assuming z is positive.\nAnswer: z**(24\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*(b**(-17)*b)\/b*b)\/b)\/(b\/((b**4*b)\/b)))**(-3\/5) assuming b is positive.\nAnswer: b**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 273*c**4\/2 - 2*c**3\/3 - 189*c**2\/2 - 7*c - 646. Find the second derivative of b(a) wrt a.\nAnswer: 3276*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -244\/1265?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 16.02 and 26.0969794?\nAnswer: 10.0769794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 5*c + 8*c + 11, -5*c + 10 = -g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -500 + 500 - 32*q + 19*q.\nAnswer: -13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*4\/208*8. Suppose -15 = 5*x - 2*o + 6, 4*x + 4*o = 0. Let m = 0.2 - 0.5. What is the biggest value in x, f, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-114700)\/(-125))\/(2\/5).\nAnswer: 2, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 780, 779, 778, 777, 776?\n\"Answer: -t + 781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 109.55 - 1.55. Let g = a - 108.0111. What is g rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (22 - 47)) + 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53147986 is divided by 41.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15149, -15299, -15437, -15563, -15677, -15779?\nAnswer: -15869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*((-36)\/(-10))\/6*(-85)\/17.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 7\/((-21)\/(-513)) - (-88)\/(-11).\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -127, 2, 3, -4 in descending order.\nAnswer: 3, 2, -4, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 245, 247, 249, 251?\n\"Answer: 2*k + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-82)\/41)\/((-2)\/(-5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l**4 + 3*l**3 + 3*l**2 - l - 25. Let t(s) = 5*s**4 - 4*s**3 - 4*s**2 + 2*s + 26. Let a(u) = -4*h(u) - 3*t(u). Differentiate a(n) wrt n.\nAnswer: 4*n**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(2\/9)*h)\/h)**(-1\/19))**(-32)*(h*h**(-7)*h**(3\/10))**43 assuming h is positive.\nAnswer: h**(-416881\/1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s - 9. Let h(o) = 12*o - 27. Let l(k) = 6*h(k) - 17*p(k). Is l(6) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 3 = -h. Let r be h\/9 - (-238)\/18. Let n = 18 - r. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/18927 and 133\/540.\nAnswer: 378540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-56)*(-3360)\/18480?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -199*c**3*n**2 - 47625127*c**3*n - 478258*n**2 wrt n?\nAnswer: -398*c**3 - 956516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4370 and 697414?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2094 - 15041 + 12947 - 50*z**3.\nAnswer: -50*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and -2952.4.\nAnswer: -2952.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -26. What is the greatest common factor of 3 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 + 340*p**2 - 325*p - 670.\nAnswer: -5*(p - 67)*(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1015 and 43819.\nAnswer: 1533665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -6.5. Which is the second smallest value? (a) i (b) -3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79*f**2 - 96*f**2 + 26*f - 38*f**2 wrt f?\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112645 is divided by 12520?\nAnswer: 12485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-15)\/12)\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + 2*k**2 + 0*k**2 + (k - 4*k + 2*k)*(-2*k - 2*k + 5*k) + 2 - 2 - 2*k**2)*(0 + 0 + 1526*k**2 - 876*k**2).\nAnswer: -650*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - 4\/(-20)*26. Let w = 24\/5 - u. Which is greater: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*f**3 - 22*f**3 - 17*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = i - 21, 5*i + 2*q = 8*i - 23 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37240770 is divided by 9310189?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d - 16. Let g be f(7). Suppose 0*y + 5*y + 5 = 0. Let t be g\/(-8)*y*2. Solve -t*h = -2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 87406.29 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 217396980 to the nearest integer?\nAnswer: 14744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*h**5 - 16*h - 10*h**2 - 2*h**4 + 19*h + 8*h**2 + 2 + 3*h**5 - 2 + (-2*h**4 + 0*h**4 + 0*h**4)*(-3*h - h + 5*h).\nAnswer: 7*h**5 - 2*h**4 - 2*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 582, 579, 574, 567, 558, 547?\nAnswer: 534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -l - 6, -3 + 10 = u - 3*l. Suppose u - 16 = -3*p. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -285\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 286, -2, 22003?\nAnswer: 22003","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294*o**2 + 23659 - 11837 + 8*o - 11822.\nAnswer: -294*o**2 + 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 390 = -29606. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -12*j**5 + 3704*j**4\/3 + 23200*j**3 - 68440*j**2\/3 - 23188*j + 64736\/3 = 0.\nAnswer: -17, -1, 8\/9, 1, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1066, -46, 2\/4211?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.014*-0.025\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/4)\/(5\/260). Let i be 4\/(-26) - (1 - 420\/h). Suppose 4*s - 125 = i. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -11*r**2 + 4. Let m(c) = -2*c - 5. Let f(d) = -19*d - 45. Let o(t) = -2*f(t) + 18*m(t). What is o(b(q))?\nAnswer: -22*q**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167103068?\nAnswer: 2, 11, 3797797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 g when two letters picked without replacement from {l: 5, g: 4, k: 10}.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 41005 divided by -1?\nAnswer: -41005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*x**2 - 755*x + 20*x - 393*x.\nAnswer: -22*x**2 - 1128*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**7\/280 + z**6\/160 - z**5\/40 - 1057*z**2. Factor o(u).\nAnswer: 3*u**2*(u - 1)*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qffqffffqqffffqf. What is prob of sequence fqqq?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3586590*d**3 - 16*d - 3586590*d**3 + 106 + 2889*d**4 wrt d?\nAnswer: 34668*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 661895*r - 6292 = 661774*r for r.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9143*m**2 + 17253*m**2 + m - 8153*m**2.\nAnswer: -43*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 297016?\nAnswer: 297016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u - 31697*u**2 + u - 8*u.\nAnswer: -31697*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 132347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3*s - s = 12, 4 = k + s. Let t be (0 + 2)*1 + 5096\/7. Suppose t = k*w + w. List the prime factors of w.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75 - -74. Let l = -146 + 148. Which is the third smallest value? (a) -1\/3 (b) l (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 67836*o**3 + 914*o**2 + 66?\nAnswer: 407016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75349?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 - -33. Suppose -2*n = 4*o + 12, -n - 28 = -g*n + 5*o. Suppose 4*l = 0, v - 6*l + n*l = 0. Which is smaller: -2\/33 or v?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206*g + 348 = 208*g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*o*p**4 - 43*o*p**3 - 63977*o*p**2 - 10*p**4 wrt p?\nAnswer: 120*o*p - 258*o - 240*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {a: 1, o: 1, b: 1, d: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-30)*0)\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 178284 and 716?\nAnswer: 178284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**3)\/u)\/(u*u**(-2)))\/((u\/u**(1\/5))\/(u**2\/u))*((((u\/u**5*u*u)\/u)\/u)\/u**(-2\/7))**(-3\/5) assuming u is positive.\nAnswer: u**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/1615 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/14 - (-7)\/(245\/10).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**5\/60 + 13*c**4\/24 + c**3\/3 - 320*c**2. Let o be n(13). Determine y so that -7\/2*y + 0 - 3*y**o + 1\/2*y**3 = 0.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - -9. Suppose t - 13 = 9*o. Solve 4 - o = -d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 196 + -191. Find the second derivative of 2*r**5 + 42*r**2 - 37*r**2 + 2*r**y + 44*r wrt r.\nAnswer: 80*r**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-420)*-10*-20?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 6:50 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 304*z - 299*z - 256*z**2 + 92 + 257*z**2 to v*z**2 + b*z + s and give s.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 0.1, -2, 2\/3, 19?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((1 + ((sqrt(1100) - ((sqrt(1100) - sqrt(1100)*1*-6) + sqrt(1100)) - sqrt(1100)) + (0 + 2*sqrt(1100) - sqrt(1100)) + 2)*-4)*3)**2.\nAnswer: -35280*sqrt(11) + 7762043","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4565113667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 10*t**3 - t**2 - 18*t - 4. What is the units digit of o(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1377 divide 39124704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -3. Let h(t) = 5*t - 2. Let b(f) = 2*f - 1. Let a(d) = 8*b(d) - 3*h(d). Let q be a(y). Solve 0*l - j - 7 = q*l, -l + j = -1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3658 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -256525, -512736, -768947, -1025158?\nAnswer: -1281369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 440 (base 6) to base 10.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 15010 = 5*h, 0 = 12*h - 11*h + i - 2996. List the prime factors of h.\nAnswer: 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 120 - 42. Suppose -6*l + 3*l - 4*c + 164 = 0, 0 = 5*c - 25. Let u = l + k. Is u a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1120941, 2241720, 3362499?\n\"Answer: 1120779*p + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5)\/c)\/(c**(-5)*c*c*c*c)*(c*c\/c**(-2\/13)*c)\/c**(-2) assuming c is positive.\nAnswer: c**(2\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u - 138 + 134 + 1949*u**2 - 1951*u**2 - 2*u**3 to t + s*u**3 + k*u + w*u**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1509320826?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 622, 568, 514, 460, 406, 352?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7062 (base 8) to base 15\nAnswer: -1124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 7:11 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -9.2. Let d = b + 5.8. Suppose 2*w + 4 = 4*u, -5 = -5*u + 4*w + 3. Which is smaller: d or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (4 + -4)\/(0 + -1). Suppose -c + 5 + 12 = n, -4*n + 20 = y. Suppose -c*l - 330 = -14*l. Calculate the highest common divisor of 66 and l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*p - 25 = 8, -4*p = l - 24. Suppose -28 = 3*c - l*c. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 10:49 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(21)\/(sqrt(7)*2))*-6*4.\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -1453*x + 33432. What is d(23)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 636692, 1273280, 1909864, 2546444, 3183020, 3819592, 4456160?\nAnswer: 5092724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77036, -154114, -231254, -308456, -385720, -463046, -540434?\nAnswer: -617884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5875286145.\nAnswer: 3, 5, 17189, 22787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-4)*(-16)\/(-4). Let w be (j - 1)*2 - 0. What is the second derivative of -w*x + 5*x**3 - x**3 - 5*x**3 wrt x?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 831 + -744.14. Round l to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123525771.\nAnswer: 3, 409, 100673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1427, -2859, -4291, -5723?\n\"Answer: -1432*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f**2*o*z - f**2*o + 9*f**2 + 25*f*o*z - 4*f*o + 33*f*z - 6*o wrt z?\nAnswer: 2*f**2*o + 25*f*o + 33*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -278233*n**3 + n**2 + 74*n - 316.\nAnswer: -1669398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*h + 3843 - 15438. Let r = h - 308. Calculate the highest common factor of r and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/318 and 39\/2182.\nAnswer: 346938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.375905 years to months.\nAnswer: 16.51086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 23*f - 91. Give m(19).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n**2 - 97*n + 590. Give r(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a**3 - 7*a**2 + 5. Let c = -7 + 12. Let g(k) be the third derivative of -k**6\/40 + k**5\/10 - 2*k**3\/3 + 7*k**2. Give c*g(o) + 4*r(o).\nAnswer: o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/5)\/((-2)\/28). Suppose 2*x - x = j. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5*s = 1144, 4*a = 4*s + 2958 - 698. Suppose 1524 - a = 11*f. What is the greatest common factor of f and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by 5?\nAnswer: 48\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k + 87 = 24. Put 25, k, 4\/7 in descending order.\nAnswer: 25, k, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*j**4 + 2499936*j**3 - 4999856*j**2 + 29999104*j\/9 - 6666464\/9.\nAnswer: -2*(j - 416654)*(3*j - 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 102407, 0, 11, 5 in descending order.\nAnswer: 102407, 11, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*n + 6. Suppose -n*s = -29 - 3. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*c = 2. Let q be (-2 - -1 - 0) + c. Solve p = -4*w - 12, -q - 1 = -w + p for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 15*k - 19. Suppose 0 = -21*i + 55 + 218. What is b(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + 7. Let h be u(-3). Suppose -35 + 37 = x. Let p = -261 - -262. Put p, h, x in ascending order.\nAnswer: p, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*m - 1 = -2, -3 = m. Suppose -13 = -x*f - 2*d, 0*f = -5*f + d + 16. What is the greatest common divisor of 21 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1446779116 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**2 + 7*n + 50. Determine l(-5).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 19\/12*u**4 + 0*u + 46\/3*u**3 - 1\/15*u**5 - u**2 - 5. Determine w, given that c(w) = 0.\nAnswer: -2, 23\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1642933 to the power of 1\/2, to the nearest integer?\nAnswer: 1282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, e: 6}. What is prob of picking 2 q?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 265295 a multiple of 267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**2 - 3*z**2 + z**2 - 3*z**2 + 1 - 1 + (2*z - 5*z + 0*z)*(3*z - 3*z + z) + 92 - 21*z**2 - 92 to the form c*z**2 + n + o*z and give c.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f - 1. Let x(s) = s. Let l(t) = 6*t. Let a(i) = -l(i) + 5*x(i). Let c(m) = a(m) - n(m). Suppose 5*v + 21 = 3*v + 5*d, 3*d - 9 = 0. Determine c(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.3594439 to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, -5, -1.4, -1\/3, -7?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 43*z - 33. Let w be f(6). Let b = w - 219. Calculate the highest common divisor of 96 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0*q + 8 = -4*q, -3*r + 2*q = -12. Suppose b + 3 = 2*o, -b - 3*b + 48 = r*o. Factor -h**3 + 2*h**3 - h**4 + 5*h**5 + 0*h**3 - b*h**5.\nAnswer: -h**3*(h + 1)*(2*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -313 + 439. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + sqrt(3))*6 + (sqrt(3) - (sqrt(36)\/(sqrt(300) - sqrt(12)))**2) + (sqrt(432) - (0 + sqrt(432))).\nAnswer: -17*sqrt(3) - 291\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 97\/11 - 9. Which is the smallest value? (a) k (b) -5 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186.5 + -24437688?\nAnswer: -24437501.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**3 + 21*d**2 - 13*d - 29. Let l be g(-11). Let n = -7 + 21. What is the smallest common multiple of (-3)\/l - (-498)\/n and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(3\/8))**(-50))**(-23) assuming o is positive.\nAnswer: o**(1725\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -384*q**3 - 10*q**2 - 4*q - 63. Let j(b) = 256*b**3 + 7*b**2 + 3*b + 46. Determine 5*f(x) + 7*j(x).\nAnswer: -128*x**3 - x**2 + x + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 201.5, -1041, -0.1 in descending order.\nAnswer: 201.5, -0.1, -1, -1041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5362*y**3 - 2*y**2 + 29*y - 28. What are the prime factors of b(1)?\nAnswer: 3, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 5*f + 35, -20*f - 92*d = -90*d + 68 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooooooo. What is prob of sequence oooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -0.4, 7, -5, -3\/3536 in descending order.\nAnswer: 7, 0.03, -3\/3536, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzggppgglpgp. Give prob of sequence gz.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**3 - 4*p**2 - 8*p + 8. Is r(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/11)\/(126\/924)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 2*y - 3. Let o be b(3). Let c be -2*(-3)\/o*-1. Let g(r) = -r**3. What is g(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 223\/20*r**5 + r - 77 + 1\/2*r**2 + 145\/12*r**4 + 0*r**3. Find the third derivative of n(t) wrt t.\nAnswer: 1338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 538 = 111*s - 22*s + 3*t, -s - 5*t = -4 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -19 + -6 + 29 + 11.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17 + 18)\/((-2)\/(-2860)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two sevenths of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.08 + -0.92. Let h = -184 + 179.98. Let m = 4 + h. Which is the biggest value? (a) r (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 2274.\nAnswer: 22740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*d + 44. Calculate the least common multiple of 3\/3*20*1 and d.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d**2 - 2*d + 2. Let y = 5 - 8. Calculate the remainder when g(y) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007787085 to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/18)\/((-10)\/(-9)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 12:39 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -3453 > -37998\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = d - 4*d - 1, -5*a - 4*d + 22 = 0. Suppose 5*n - 37 = 4*p - 0*p, 0 = 2*n + 2*p - 4. Let y be 10*(-5)\/((-25)\/2). Sort y, n, a.\nAnswer: a, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119024 = 6575*g - 5191*g for g.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32.1 - -34.1. Let q be (-13)\/55 - 6\/15. Let f = -3\/22 - q. Sort f, -2, i in descending order.\nAnswer: i, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*q**3 - 1 - 24*q**3 + 8*q + 13*q**3 to the form h + z*q + a*q**2 + b*q**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128498.\nAnswer: 2, 47, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 2*v**2 + 59. Suppose o + 12 = 4*q + 3*o, -4*o = -8. Suppose 5*j = q*j. What is the tens digit of y(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 5:48 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 2, 67?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 7*n - 8. Let z(h) = -12*h + 39. Let k be z(8). Let v = k + 70. Is m(v) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 3, -1025, -4 in ascending order.\nAnswer: -1025, -4, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 1. Let j be x + 1\/3*3. Let c = 9 + j. Solve 0 = -c*t - 5*v + 13, 2*t + t + 2*v = -2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 35\/10 + (-1)\/(-2). Let s(o) = o**3 - 14*o**2 + o. Let d be s(14). Suppose -j + n*m - d = -0*m, -3*m = 4*j - 39. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/14 and (-3 + 1611\/414)*-1.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 8*h**2 + 7. Let i be 82\/10 - 9\/45. Let j be m(i). Suppose -5*q - 40 = -j*q. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-906 - 889 + 1572 - 406)*(-s + 0*s + 0*s).\nAnswer: 629*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 16*h**2 + 40*h - 7. Give t(10).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.9796 months in decades?\nAnswer: 0.44983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f + 8. Let z be a(9). Let b(n) = n**2 - 2*n - 1. Let w be b(z). Suppose 0 = 2*v - w - 4. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l - 994 = -3*l. Let y = l - -215. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, d: 6}. What is prob of picking 1 g and 2 d?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of 2*c**7\/21 + c**4\/4 + 2*c. Find the third derivative of g(d) wrt d.\nAnswer: 240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tta when three letters picked without replacement from attataaa?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/1393 + -96101\/11144. What is the common denominator of -81\/106 and z?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.03 - -0.05. Let z be 4\/6*(-6)\/8. What is the third smallest value in z, b, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 80317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 2*g = 45. Let t(w) = -2*w**2 - 5*w. Let p be t(g). Let u = 232 + p. What is the highest common divisor of 46 and u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 7*c - 3. What are the prime factors of z(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5 + 3*r**2 - 4*r**2 + 0*r**2 - 9*r + 0*r**2. Let s be l(-8). Put -5, s, -2 in decreasing order.\nAnswer: s, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-54)\/(-81)*3\/7. What is the closest to -1 in d, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174996?\nAnswer: 2, 3, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 17697112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 156835*h**4 + 1112*h**2 + 206*h.\nAnswer: 3764040*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -105 - -105. What is the smallest value in -1, -5\/2, 2\/3, f?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28580549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23.7 and -93804.2.\nAnswer: 2223159.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2417 - 298. Let b = z + 19052\/9. Let c = -9413\/888 + 25\/111. Find the common denominator of b and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 4962615?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8a34 (base 13) to base 14.\nAnswer: -7073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 101 - -3?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.2, 3\/2, 42 in decreasing order.\nAnswer: 42, 3, 3\/2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**4 + 23*w**3 - 97*w**2 + 129*w - 54 = 0. What is w?\nAnswer: 1, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3720 is divided by 499.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/870 and -59\/12.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -52. Suppose -2*v + 5*j + a = 7, 3*v + j - 53 = 0. 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(p) = -82*p + 63. What is k(7)?\nAnswer: -511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/4 - 2*o**3 + 3*o**2\/2 + 2*o - 7\/4.\nAnswer: (o - 7)*(o - 1)**2*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2089*i + 359774 - 359721 - 2091*i.\nAnswer: -2*i + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14497\/4 + -3625. Let i = 2 - 0. Which is the second biggest value? (a) 1 (b) i (c) 10 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6931, -6861, -6791, -6721?\nAnswer: -6651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 22 + 5*v - 3*v - 22. Let i be 2\/(-15) - (-352)\/165 - 2. Suppose -2*k - 5 = -l, 2*l + i*k - 16 = -2*k. Let w(q) = q. Give l*w(z) - 5*a(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*((-368)\/48)\/23. What is the closest to -0.2 in u, -6\/11, -0.1, -6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2013? (a) -10 (b) 3 (c) -2\/7 (d) -4\/5 (e) 62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1*(sqrt(133) + (sqrt(133) - 2*sqrt(133)))*4)\/(sqrt(7) - (sqrt(7) - sqrt(70)\/(sqrt(40)\/sqrt(4) + sqrt(10))) - 5*(sqrt(7) + -1*sqrt(7))))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 16 = 8. Let p be 1*(-5)\/(15\/(-4542)). Is 34 a factor of n\/(-18) + p\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -872*n + 816*n + 162 = j, -3 = 2*n + 3*n + 3*j for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-92)\/24 - (-20)\/5. Let x = 0 - 0.1. Let n = x - -0.1. Which is the closest to n? (a) g (b) -1 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3301913 * 49\nAnswer: -161793737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five eighths of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o + 16. Let j(b) = 3*b + 17. Suppose 0 = y - 4*q + 18, -196*y - 15 = -194*y - q. Give y*j(m) + 5*t(m).\nAnswer: 2*m - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -25088 minus -34.65857?\nAnswer: -25053.34143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 193*t**2 - 524*t**2 + 44*t**3 + 165*t**2 - 9*t - 13955 + 164*t**2 wrt t?\nAnswer: 132*t**2 - 4*t - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -1, -629, 8, 48 in decreasing order.\nAnswer: 48, 8, -1, -12, -629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -152865 divided by 30573\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140, -217, -298, -383, -472, -565?\nAnswer: -662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -3. Suppose 4*n + q = 461, -2*n + a*q + 213 = -0*q. Suppose -b + 19 = x + 3*b, -5*x = b - n. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -78433612*o. Let t(l) = 2*l. What is t(w(m))?\nAnswer: -156867224*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, x: 4, a: 2, i: 1}. What is prob of picking 1 x and 1 i?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2785766 or 2785764?\nAnswer: 2785766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 39029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -234ab (base 14) to base 8.\nAnswer: -247757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33334 = 45*n - 34009 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -68ec3 (base 15) to base 9.\nAnswer: -558243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -118 - (-1 + -1 + 3). Let p = 72 - 26. What is the least common multiple of 6\/(-51) + (-1918)\/o and p?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2502971220 to the power of 1\/4, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3488, 4311, 5172, 6071?\n\"Answer: 19*g**2 + 766*g + 2703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/7 of a week in days?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y + 101 = 21. Let p be 0*4\/y*1 + 2. What is the closest to -3\/5 in p, -1, -15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from ywwmwmwwwwwqqwmw.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3948*a*f**3*s**2*w + 4*a*f**2*s**2*w + 403*a*f*s*w + a*f*w - f**3*s*w - 3*f + 2*w wrt s?\nAnswer: -7896*a*f**3*w + 8*a*f**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 540 and 9655?\nAnswer: 1042740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -51972.8 to the nearest 1000.\nAnswer: -52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*o + 2. Let w = o - -4. Suppose l + 20 = w*l. What is the greatest common divisor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.9088966 and -486.\nAnswer: -489.9088966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 186212070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7132*d**3 - 15030*d**2 - 380160840*d wrt d.\nAnswer: 42792*d - 30060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24191\/28 - 864. Sort c, -1\/4, 0.17 in decreasing order.\nAnswer: 0.17, c, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -6*d + 789365. Let i(u) = -5*u. Give i(a(v)).\nAnswer: 30*v - 3946825","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -a**3\/3 + 3*a**2\/2 + 45*a + 46. Suppose 5*b - 17 - 13 = 0. Calculate the remainder when c(0) is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 200281211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, p: 6, y: 4, g: 1}. What is prob of sequence yvy?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60 + -50. Suppose 14 - c = 2*y. Let j(z) = z**3 - 3*z**2 + 4*z - 1. Let p be j(y). Sort 2, -4, p, -7 in ascending order.\nAnswer: -7, -4, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (58\/(-87))\/(2\/(-6)). Suppose -5*n = -4*v - 1981, -310 = -r*n - 4*v + 460. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*s**3 - 59783*s**2 - 10870*s.\nAnswer: s*(s - 5435)*(11*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 307183, 307187, 307211, 307267, 307367, 307523, 307747?\nAnswer: 308051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -7. Let l = 65 - 65.5. What is the closest to 0.1 in l, g, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in -1, -2191, 8.9, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 3*i - 76 = 0. Let r be (23\/(-46))\/((-1)\/6). Suppose x = 4*p - r*x - 52, -4*x = -3*p + 41. Calculate the remainder when i is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 != -884323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 397899110?\nAnswer: 2, 5, 7, 17, 37, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -4*x**4 + 16*x**3 + 84*x**2 = 0.\nAnswer: -3, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2825, 2826, 2827, 2828?\nAnswer: 2829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - (-22)\/(-2))*-1. Let d be 48\/(-80) + g\/5. Suppose -5 = p - d*p, 2*p = n - 54. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44*b**4 + 31*b**4 - 44*b**4 + (-2*b**2 - 4*b**2 + 3*b**2)*(4*b - 4*b + 2*b**2).\nAnswer: -63*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v + 1960 = x + 1715, -v - 36 = -5*x for v.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (492\/(-369))\/(1\/(((-28)\/(-14))\/((-1)\/(-1)))).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 750998*o. Let w(l) = 2*l**2. Calculate h(w(v)).\nAnswer: 1501996*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/4915338 and 169\/870?\nAnswer: 712724010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1209\/7 + 173. Let j be (-6)\/(-4)*7\/42. Which is the closest to 2\/5? (a) 1 (b) j (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 6*j**2 + j + 11. Let t be p(-6). Sort -3, t, -162.\nAnswer: -162, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 6:13 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2387814 divided by 858?\nAnswer: 2783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1\/2, -2\/13, -56, 0, -2\/15 in descending order.\nAnswer: 2, 0, -2\/15, -2\/13, -1\/2, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 635 divided by -5.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of 0 + 0*l**7 + 0*l**6 + 0*l**5 + 5\/14*l**8 - 91\/12*l**4 + 0*l**3 + 0*l**2 - 131*l. Find the third derivative of j(z) wrt z.\nAnswer: 2400*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8580332 is divided by 182560.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2. Let x(s) = 3*s**2 + 790*s. Calculate x(p(q)).\nAnswer: 12*q**4 - 1580*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 362857.\nAnswer: 11, 32987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 - 4)\/((-1)\/(-14)). Suppose 0 = 3*q + 4*f - 28, -1 = -2*q + f + n. Calculate the highest common divisor of 4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13672115 (base 8) to base 4.\nAnswer: -23313101031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1 - 58) + -2)\/(-5 + 4). Suppose 2*o - 13 = -b - 0, -4*o + 5*b = -v. Calculate the lowest common multiple of o and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1057 - 1791. Let m = u + 1126. Suppose -z - 3*z - 4*t + m = 0, 2*z = -t + 200. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + 5\/(5\/2). Let t(u) = -4*u**2 + k*u**2 - u**2. Let h(z) = 9*z**2 - 6. Let g(a) = 17*a**2 - 11. Let q(v) = -6*g(v) + 11*h(v). Give t(q(x)).\nAnswer: 9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-21)*o**(4\/27)*((o\/(o*o\/(o\/(o\/o**38)))*o)\/o)\/(((o**(-10)\/o)\/o)\/o) assuming o is positive.\nAnswer: o**(814\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*n - 70*n = -15. Suppose 0 = n*b - 2*w - 277, b - 6*w + 4*w - 49 = 0. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 4)*(1 - q - 1)*(1005*q + 4656659 - 4656659) - 3*q**2 + 2*q**2 + 3*q - 2*q.\nAnswer: 3014*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 9. Let w be h*(2 - 32\/12). Let t(p) = -16*p - 1. Is 10 a factor of t(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1666 - 1346. Calculate the remainder when y is divided by 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4249 - 4258. Let a(h) = -4*h - 3*h - 9 - 2*h. What are the prime factors of a(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1524555?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -221620, 0.09, 26?\nAnswer: -221620","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10962 divided by 558?\nAnswer: -609\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1476241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -255, -252, -239, -210, -159, -80, 33, 186?\n\"Answer: j**3 - j**2 - j - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -6 - 1\/112*s**8 - 13*s**2 - 2\/35*s**7 + 0*s**3 - 1\/10*s**5 + 0*s**4 + 0*s - 1\/8*s**6. Factor t(q).\nAnswer: -3*q**2*(q + 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.262 - -3.738. Let u = y + -3. Which is the closest to u? (a) 6\/11 (b) -2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/((-2)\/(-2)) - -2. Let m(d) = 2*d + 3*d**2 + d**3 - 6*d**2 - d**2 + y + 0. What is m(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -740, -744, -748?\nAnswer: -752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in 1\/7, -282327, -0.5, 5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 136*d*x - 65410979*d - 28727*x**2 - x wrt x?\nAnswer: 136*d - 57454*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by 4?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1040*u + 2087*u - 1047*u + 21*u**2.\nAnswer: 21*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, h: 11}. What is prob of picking 4 h?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 170 = -5*j, 5*j - 2*y = 3*j - 56. Let k = j + 34. Find the second derivative of -k + 13 - 10*o**4 - o - 2*o**2 + 4*o wrt o.\nAnswer: -120*o**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -57822*n**3 - 29 + 57819*n**3 - 6 + 2*n**2 in the form y*n + p*n**2 + s*n**3 + k and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -5, 163 in increasing order.\nAnswer: -5, 35, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 4*o + 520. Let c = o - 90. Round c to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -17.112 from -0.4297.\nAnswer: 16.6823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 68283*g**2*y**2 - 791*g**2 - 3*g*y + 1303103944*y**2 wrt g?\nAnswer: 136566*g*y**2 - 1582*g - 3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-6)*4*(-1)\/6?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 11*t**3 + 32*t**2 - 31*t - 7. Let y(u) = -5*u**3 - 14*u**2 + 14*u + 3. Let z(l) = -4*h(l) - 9*y(l). What is z(5)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*k = 245629. Let a be (-3)\/((-60)\/k) - -3. Let u = a + -12288. Calculate the common denominator of u and -7\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2319022998?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 + -222.14974049?\nAnswer: -222.26974049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, n: 1, c: 6, y: 4, r: 1}. Give prob of sequence un.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 108\/13 in -14, -0.1, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -227\/8 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 569684829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-588)\/490)\/(2 - (-42)\/(-15)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w. Let r be s(6). Let t = -10 + 27. Let i = t - r. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006815403612 rounded to six dps?\nAnswer: 0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 87 + -78. Suppose -2*m + 2 = 4*v, -3*m + 5*v = m + i. Let b be 44\/m*15\/(-20). What is the highest common factor of 3 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/9*j**3 + 8\/3*j**2 - 80\/9*j - 2\/9*j**4 + 64\/9.\nAnswer: -2*(j - 2)**3*(j + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f. Let q(k) = -k**2 - 3*k - 2. Let h(x) = o(x) - q(x). Let s be h(-4). Solve -s*g + 2 = 0, -3*c + 14 = 2*c + 4*g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 309 = 2*w - 317, -12 = -4*w - 3*p for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 187823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8754, 17531, 26340, 35193, 44102, 53079?\n\"Answer: 2*u**3 + 4*u**2 + 8751*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1960)\/(-630)*6\/4*15\/(-5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 3*h + 6, -30*h + 3*h + 5*n + 12385 = 12397 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2579*n**3 - 3049 + 3049 + (1 + 2*n**2 - 1)*(n + 0*n - 3*n).\nAnswer: 2575*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -739419\/3125 and -237 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1017 - 1080. Let n(s) = 3*s + 4. Suppose -5*g = -4*r + 14 + 7, -4*r + 3*g = -19. Let j(b) = 49*b + 63. Determine d*n(p) + r*j(p).\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -5, 5 in increasing order.\nAnswer: -10, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -695*l**2 - l - 4862.\nAnswer: -1390*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38359040 and 800.\nAnswer: 191795200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 4. Suppose m = -0*b - 5*b + 20. Suppose 9 = b*i + v - 24, -v = -4*i + 39. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a. Suppose -j + 12 = 10. Let g(b) = -8 - 6 + 11*b**j + 14. Calculate g(p(i)).\nAnswer: 99*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 4*g = 3*t - 39, 0 = -3*g - 5*t + 43. Let y(f) = -f**3 + 6*f**2 - 3*f + 9. Let r be y(g). Let i = r + 15. Is i 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 {w: 3, u: 1, l: 1, o: 3, d: 2, x: 2}. What is prob of picking 1 d and 1 x?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 860 and 46960.\nAnswer: 2019280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -6*p**2 - 284*p + 1924. Give d(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3024 - -6045\/2. Let b = 0.8 + -1.3. What is the nearest to -2\/9 in d, -0.4, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 2*x. Let f be (-46)\/(-11) - (-18)\/(-99). Suppose 9 = 5*l + f. Solve l + x = c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kw when two letters picked without replacement from wwkykkykkwkhwkwkh.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/15, -2, 17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 6)*(-1 - 3 + 2)*(2*c - 2*c + c)*(-3 + 2 + 3)*(3*c + 238*c - 220*c - 49).\nAnswer: -84*c**2 + 196*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13122\/(-31347)*301\/(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/30 - 2\/(-60)*56. Suppose c - 5*w - 28 = -d*c, 4*c - 2*w - 28 = 0. Put 4, -1, c, -5 in ascending order.\nAnswer: -5, -1, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3*c - 3)*(2 - 4 + 0) - c - 2*c + 5*c + (0*c + 0*c + c)*(-1 - 10 - 1) + 4 + 3*c - c + c + (-1 + 1 - 2)*(c + 2*c - 4*c) + c + 0*c + 0*c + 2 + 2*c - 2.\nAnswer: 4*c + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - 2. Let y = f - -7. Let i = 2.9 - y. Which is the second biggest value? (a) 0.2 (b) i (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1727 bigger than 1944?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (29 - 48) + (-2 + 6 - 3)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 8\/9*d + 2\/9*d**2 = 0. Calculate d.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -3*c**2\/5 - 117*c\/5 - 114\/5 = 0?\nAnswer: -38, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 58*v + o + 463, -20 = 3*v + 101*o - 97*o for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, -187, 0.4, -0.815, -5?\nAnswer: -0.815","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007100903 rounded to 7 dps?\nAnswer: 0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -472 + 511. Suppose 35*k + 32 = o*k. Solve 4*z - k = 0, -1 = p + 3*z - 11 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 330114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p**3 + 2*p**2 + p. Let x be t(-1). Let u be 2\/x + (-2)\/(-4). Let i = 7 + -3. What is the smallest value in u, 3, i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 193492*o**4 - 24*o**3 - 60*o**2 - 74935*o.\nAnswer: 4643808*o - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of k**3\/3 + 1. Let u(a) be the second derivative of -1\/12*a**4 - 2*a + 0*a**2 + 0 + 0*a**3. Determine r(u(y)).\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-27)*-30*3. Let v = -28703 + 28707. Calculate the greatest common factor of v and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -15 - 35. Let x(l) = l**3 - 2*l**2 - 2*l - 1. Let a be x(3). Suppose 5*f + 3*p = y, 7 = -p + a. What is the remainder when 38 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 36*k + 118. Let t be a(39). Sort 4, -25, 5, t in descending order.\nAnswer: 5, 4, t, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*w, -3*j + 524 - 94 = -5*w. Let r = j - 94. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 54 = -393*m + 390*m, -38 = -2*h - 4*m. Solve 3*j + 13 = w, -h = -w + 5*j + 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5664 (base 11) in base 6?\nAnswer: 54255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 473*j - 2799. Determine y(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14950214 - -5.\nAnswer: -14950209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*v = -4, -2*v + 4 = 5*c + 1. Which is smaller: 7\/3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 16 = -8699*d + 8695*d, -c + d - d = -5*d - 34 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from kkkkrlnrlklddlkkdnk.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02137 plus 2676.8256019?\nAnswer: 2676.8469719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 135*h - 2099. What is z(16)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/15130340 and -16\/765.\nAnswer: 136173060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -15, -217, 200 in descending order.\nAnswer: 200, 2, -15, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 146*m - 47. Let p(w) = -145*w + 48. Let a(t) = -4*b(t) - 3*p(t). Is a(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2209.939 - -2209. Let x = n - 0.061. Which is the smallest value? (a) -1\/3 (b) x (c) -65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4, 3*g + 4*t + 2 = 12. Suppose 2*f + g*f - 200 = 0. Let o = 98 - f. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129126 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: Let z(d) = 4*d - 2*d + d - 4*d. Suppose f + 4 = -3*f. Let m(y) = -y**2 - 6*y - 2. What is f*m(a) + 6*z(a)?\nAnswer: a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/900 and 169\/450.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 304699000 to the nearest 1000000.\nAnswer: 305000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**3\/6 + 11*u**2\/2 + u. Let g be w(-6). Suppose 2 = d + 5*q - 10, g*d + 2*q = 37. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 8*s**2 + 40*s + 161. List the prime factors of l(22).\nAnswer: 7817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43\/99 + -7\/33. Let o = -2.99 - 0.01. Let c be (-54)\/(-270)*2\/(4\/6). What is the nearest to i in c, -1\/2, o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 1:24 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 652.3087 to the nearest 10.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 7*d**2 + 7*d + 5. Let p be r(-6). Let b be -15834 + 3\/p + -3. Let m be (b - 0)\/(5\/3125). Round m to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 2*w - 16800225. Suppose -11*s = w + 449925. What is s rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -300566217*s**4 - 174181055.\nAnswer: -1202264868*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/12 or 75098639?\nAnswer: 75098639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -25 and 0.0425?\nAnswer: 25.0425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 12411332107205*b**2 + 31510420*b + 20 = 0.\nAnswer: -2\/1575521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-9) + (-16)\/90. Let f be (-6)\/21 - 0\/2. Let w be 0 + 0 + 4\/26. Which is the closest to t? (a) f (b) 2\/3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001108 rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-504)\/147 + 3\/7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.2 - -4.8. What is the third smallest value in -2\/9, -3, l, -0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67014 is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 - -42. Differentiate 251*c**2 + 0*c - 297*c**2 + x + 0*c with respect to c.\nAnswer: -92*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 764727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 5. Let q = -10 - -17. Let i = q + r. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 4065 + 4054 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h = 3*h + 33. Let j = -251 - -253. Let r(o) = 3*o - 9. Let v be r(4). Solve j*w = -g - 8, h*w + v*g + 12 = -g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 751*s**5\/5 + s**2\/2 - 1627*s + 145. What is the first derivative of t(j) wrt j?\nAnswer: 3004*j**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428435 to the power of 1\/2, to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -265\/8 + 1817\/40. Let b = 37 + -39. Find the common denominator of (b\/5)\/(448\/3010) and u.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14240 and 40?\nAnswer: 14240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of h**3\/3 + 17*h**2\/2 + 56*h + 15. Let l be m(-13). Solve -l*i + 26 = 2*f, -4*i = 4*f - 49 + 13 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 9 = -3*o, 3*a - 13 = -o. Solve a*w + 3*y - 10 = 0, -w + 18 = -4*w + 3*y for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31689743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -b - 5*u, b + 2*b - 2*u = -13 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8\/25 of a kilometer?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1265044 - -2?\nAnswer: -1265042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 944 divide 683309919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 417, 55772 in decreasing order.\nAnswer: 55772, 417, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-3)*(4 + -1). Let z be ((a - 0)\/(-5))\/((-1)\/4). Suppose -4*y - 16 = 0, 0*r - 3*y + 124 = z*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 greater than or equal to -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1179 - 26*o**3 - 1179 + 2*o**4 + (-3*o**4 - 3*o**4 + 8*o**4)*(-6 + 4 + 0) in the form q*o**4 + j*o**2 + a*o**3 + y*o + x and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 96823.9679 to the nearest ten.\nAnswer: 96820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1255266 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.98 + 0.02. Let a = 5.86 + 0.14. Let m = -8 + a. What is the nearest to 2 in 5, m, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 + 0*r**2 + r**2 + (-r + r - 5*r**2)*(2 - 4 + 7).\nAnswer: -23*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 9:32 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46 - 24 + 30 - 3*s**5 + 4 - 4 + 3*s**5 + (s**3 + 2*s**4 - s**3)*(4 - s - 4) + s**3 - s**3 - s**5 - s**3 + s**5 + s**3.\nAnswer: -2*s**5 + 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5871 + 5869. Which is smaller: r or 39\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 12:00 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14198807*f**3 + 4704249*f**2 wrt f.\nAnswer: 85192842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 + 0*q**2 - 2*q**2)*(-4 + 6 + 2)*(3 - q**2 - 3 + q**3).\nAnswer: 4*q**5 - 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409263 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11220.353 - 11215. Let t = r - 0.353. What is the closest to -2.6 in 2, -3, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from titiiiit. Give prob of picking 2 t and 1 i.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, y: 1, b: 3, l: 2, o: 1}. What is prob of picking 1 h and 1 l?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89923, -176695, -263467, -350239, -437011?\nAnswer: -523783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in six fifths of a microsecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55113?\nAnswer: 3, 18371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide -4 - (4 - 144\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -0*o + 3*o - 867, c + 4*o - 436 = 0. Let q = c + -435. What is the closest to q in -0.08, 5, 4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21*1008\/(-432)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 19761238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + u - 5*b - 301, -4*u + b - 591 = 0. Let z = -143 - u. What is the second smallest value in z, 0.01, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48 - (-5655)\/(-117))*-1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, r: 1, q: 1, f: 2}. Give prob of sequence pr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 2:50 AM?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 980*b - 538980. What is i(550)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven tenths of a decade?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2\/5*z**4 + 8\/5*z - 2 - 8\/5*z**3 + 12\/5*z**2 = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - y**2 + y + 1. Let j(a) = -5*a**3 + 13*a**2 + 4*a - 13. Let w(d) = -j(d) - 6*q(d). What are the prime factors of w(-7)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8.46 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 10:34 PM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 3. Let q(f) = -4*f**3 - 3*f**2 - 2*f - 2. Let a(r) = -r**2 + 0*r - r + 0*r - 1. Let z(l) = u*q(l) + 2*a(l). Find the third derivative of z(k) wrt k.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -75*o**3 + o**2 + 3*o. List the prime factors of j(-2).\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23659 divided by 1?\nAnswer: -23659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 0*z**5 + 2\/15*z**6 + 0*z**4 + z - z**2 + 0 + 0*z**3. What is the first derivative of l(m) wrt m?\nAnswer: 16*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4813663 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 309196 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7040\/112*42\/12 and 160?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*t - 132*t + 484414. List the prime factors of t.\nAnswer: 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dedededdgedeeeeddkd. What is prob of picking 1 d and 2 e?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 9, h: 2}. What is prob of picking 2 f?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 213499 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2340\/(-3 - -9))\/((-12)\/(-112)). Calculate the greatest common divisor of 20 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 7*h - 6. Let i be z(6). Suppose i = -4*m - 16. Let k be (-5 + 0)\/(2\/2). Sort k, -3, m in increasing order.\nAnswer: k, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*f - 20. Suppose 0 = -f*k + 10, v - 181 = k - 37. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(119) + -1*(-3*sqrt(119) - sqrt(119) - sqrt(119)))\/(sqrt(1008)*2)*6*-3 + 3 + -3).\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2044 times -1?\nAnswer: 0.2044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/1095 and -74\/15.\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 11:04 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 67400000 to the nearest one million.\nAnswer: 67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q + 1. Suppose 0 = s + 2*s + 9. Calculate p(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(-4*g + 3*g + 0*g) - 2*g + 4*g + 5*g + 3*g - g - g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 4832524.3 to the nearest ten thousand.\nAnswer: 4830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 3374.\nAnswer: 3374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*m + 79 = -4*h, 3*m = -h + 65. Suppose 9*s**3 + h*s**4 - 41*s**4 - 9*s**3 - 55*s**5 = 0. What is s?\nAnswer: 0, 6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -58 + 58 + -28 + -2 + 14 - -134.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003693135 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/30)\/(2190\/1314).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-235)\/20 - -14)*(26 - 22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -8*o + 59. Calculate the lowest common multiple of o and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 10*n + 23*n + 18*n.\nAnswer: 31*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + 514. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.071455514077 - -3.\nAnswer: 2.928544485923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 828*i + 12223 = 109*i for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -24. What is the tens digit of 2*(-8 + 5 + (-167)\/z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -70 - 203. Let f = -141 - l. Calculate the remainder when f is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*l**2*p**3 - 227*l**2 + 18*l*p**3 + 2*l*p**2 - 14*l*p wrt l.\nAnswer: -10*p**3 - 454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/5 - (-236)\/(-20). Find the common denominator of -23\/7 and (-170)\/r + 90\/18.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.11 + 0.02. Which is the third smallest value? (a) u (b) 3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = 10*q - 5*q. What is the smallest common multiple of 9 and q?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-192)\/(-720)*30 - (0 - 33032) a multiple of 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 6 - 4)*(1 - 2 - 1)*(-f**2 + 2*f**2 + 2*f**2) to h*f + d + c*f**2 and give c.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5512 + 5401 + (2 - 0) + 2\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1130048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67 - 72. Let d be -1 - (-13499995)\/(0 + m). What is d rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 19245867?\nAnswer: -57737601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -73*t**5 - 120*t**2 + 2*t - 644. Find the second derivative of d(x) wrt x.\nAnswer: -4380*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n + 6. Let v be a(4). Let o be (-2)\/(-10)*(-175)\/(-15). Solve o*t + 2\/3 - 3*t**v = 0.\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 2*l**2 - 3*l. Let r(h) = h**3 - h**2 + 3*h. Calculate 2*b(m) + 3*r(m).\nAnswer: m**3 + m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*h**3 - 12*h**3 - 5*h**3)*(2*h + 2 - 4 + 0*h).\nAnswer: 18*h**4 - 18*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*q - 4*q - 5*q = -34*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 255625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -0*c + 3*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of c**5\/30 + c**4\/6 - 7*c**3\/6 + 3*c**2\/2 + 3*c. Let a(g) be the first derivative of k(g). Is a(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15389?\nAnswer: 11, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 64 - 67. Which is smaller: -2\/75 or t?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0, -15, -4?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*q + 18. Solve q*z = -16 - 14 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*k**5 + 7*k**6 - 51394*k**2 + 51006*k**2 + 0*k**5 + k**4 wrt k?\nAnswer: 840*k**3 + 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -17. Which is the nearest to -2\/3? (a) -2\/7 (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 16*u + 2. Let o be s(3). Let b = o + -148\/3. Is 0 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzzz when four letters picked without replacement from zzuzguzuuz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 17 = y. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 2\/3, -2\/149, 113, 1 in descending order.\nAnswer: 113, 14, 1, 2\/3, -2\/149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -7700 < -7700?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32338 is divided by 274.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 20*k + 4 - 45*k + 19*k. Let j(s) = -1. Let d(x) = -5*j(x) - l(x). What is the units digit of d(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (17\/(-102))\/((-1)\/6). Calculate the highest common divisor of m and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1*sqrt(448)*2 + sqrt(448) - 2*sqrt(448)*1))**2.\nAnswer: -32*sqrt(7) + 452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -470, 0.74 in descending order.\nAnswer: 0.74, 0, -470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40981*a + 924 = 40939*a for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15623308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411443016 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 231*w**3 - 297*w**2 + 297. Let j(h) = h**2 - 1. Give -594*j(y) - 2*u(y).\nAnswer: -462*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.1 - 10.52. What is the third smallest value in -1\/9, 4, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2 = -2*t + 5*t, 0 = 2*o - 3*t + 5. Let a = -583\/4 - -145. Let y(c) = c**2 + c + 4. Let p be y(0). What is the closest to o in a, -0.3, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 3*t + 6. Let i be g(-4). Suppose -2*f - h - 3*h + 16 = 0, -2*f - h = -i. Solve -f*y + 8 = -12 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 - 9*w + 7. Determine p(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**4 - 612*s**3 - 32400*s**2 - 120000*s.\nAnswer: -3*s*(s + 4)*(s + 100)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 15*t. Let x(y) = -2324*y. Determine x(f(r)).\nAnswer: -34860*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -695, -419, 843, 3091, 6325, 10545?\nAnswer: 15751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19.5 + -22.5. What is the smallest value in -2, 0.3, x, 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37721 and 73190.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(3) + sqrt(75)*-1 + sqrt(75)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 2511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**6\/180 - q**5\/15 - 2*q**3\/3 - 11*q. Let n(d) be the second derivative of o(d). Let n(b) = 0. What is b?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11630046 to the power of 1\/2, to the nearest integer?\nAnswer: 3410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 4 = -2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-5\/4)*c*c*c)\/c*c**(7\/4))\/(((c*c**4)\/c)\/(c\/c**4*c)) assuming c is positive.\nAnswer: c**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5109 is divided by 284.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - (-1)\/(-1))*(-650)\/52. Let g = w - -28. Solve -3*d - 4*s + 19 = 0, 2*s = -3*d + 4*d - g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in -0.4, -9, 10?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62464 is divided by 87?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hoohkaaoaohaoojh. What is prob of sequence oajk?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 1888*r**2 - 2*r + 90. Let f(h) = -10*h**2 + 5. Let b(s) = 3*f(s) - v(s). What is the second derivative of b(u) wrt u?\nAnswer: -3836","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -49.451291 and 3.\nAnswer: -46.451291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56863352 divided by 4374104.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -608514 + -0.033?\nAnswer: -608514.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9355?\nAnswer: 5, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 4*i + 6, 5*i = -2*j - 6 - 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -10*n**2 - 92*n - 18 = 0.\nAnswer: -9, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.5 (b) 5 (c) 2 (d) 0.6 (e) -2 (f) -0.45405 (g) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 12:05 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.892 - 2893.68?\nAnswer: -2876.788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 609.922851 rounded to one decimal place?\nAnswer: 609.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y**3 + 157*y**2 - 157*y**2.\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6449310 divided by -87\nAnswer: -74130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 q when two letters picked without replacement from pqjjqfffqjhqf.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + (-72)\/(-20))*-5. Let y = u - -8. Solve y = -2*r - 4 - 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*j - 294 = 0, -2*j = -4*a - 5*j + 1176. Let t = -140 + a. Suppose g + 2*g - w = t, 266 = 5*g + 3*w. Is g a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 7:06 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3480.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1962 a factor of 423693544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.542 + -0.541601. What is b rounded to five decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 832 = q, -p = -4*q + 4*p + 3350. Does 42 divide 17\/2*q\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -136, -2, 4, 0 in decreasing order.\nAnswer: 4, 0, -2, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*t - 21*v + 20*v, -t - 3*v = 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 27 + 0 + (-1 - -2). Suppose 38 + o = 2*y. Solve y = -5*h + 8 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 = -86*z + 65*z - 551 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*(15\/5)\/9\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 0 - (140 - 134)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*6*sqrt(684)*1*5*-1 + -5)**2.\nAnswer: -3600*sqrt(19) + 2462423","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1216) + -1)*2)**2 + sqrt(1216) - 5*(-1*sqrt(1216))**2)*-3.\nAnswer: 168*sqrt(19) + 3636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2020 (base 4) to base 13.\nAnswer: -a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m - 2*m + 5*m**2 + 5*m.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddiddi. Give prob of picking 1 i and 2 d.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*k - 117*k - 599 = -67*k + 353 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*r + 12*r - 8*r.\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1538 and 421.8?\nAnswer: -648728.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 1374 = 2*c, 2*c + 2*a - 1299 - 69 = 0. Does 61 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 32 = 4*j, 2*k = j - 230 + 226 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 37\/2 of a hour?\nAnswer: 1110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 3*c**2 - 6*c - 1. Let t be s(-3). Solve -23*o = -t*o + 18 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -j**2 - 16*j - 6. What is the remainder when 16 is divided by c(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -t**4\/12 + 11*t**3\/6 - 2*t**2 + 2*t. Let p be x(10). Let c(o) = 2*o - 8. What is the least common multiple of c(p) and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*4.83.\nAnswer: 0.0966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - (360\/28)\/((-2)\/14). Which is smaller: g or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 + 256*z**2 + 5824*z - 432640.\nAnswer: -4*(z - 52)**2*(z + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-16)\/10)\/((3540\/(-308550))\/59) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 b when two letters picked without replacement from bmlppble.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*t = -7. Let l be 23\/t - (-2)\/(-7). Suppose -l*s + 68 = 23. What is the remainder when s is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s. Suppose -4*f - 45 = -7*f. Let u(y) = 20*y**2. Let l(a) = -5*a**2. Let r(c) = f*l(c) + 4*u(c). Determine r(o(m)).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005643 rounded to 5 decimal places?\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**8\/2240 - a**7\/1260 - a**4\/6 - 5*a. Let d(w) be the third derivative of f(w). Find the third derivative of d(n) wrt n.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*i = 0, 4*g + 6*i = i + 21. Suppose 2*r - 27 = -g. What is the remainder when (-130)\/4*(-4)\/5 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -l**5\/20 - l**4\/12 + 4*l**3\/3 - 7*l**2\/2 + 8*l - 2. Let w(i) be the first derivative of b(i). Is w(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*r**3 - 436*r**2 + 490*r + 80.\nAnswer: -18*r - 872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -15, 0*x + 6 = c - x. Suppose 4*m - v = c, 4*v = m - 0*v + 16. Find the first derivative of -9*r**m - 30 - 21*r**4 + 7*r**4 wrt r.\nAnswer: -92*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -103.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 192*u**2 - 1192*u - 13905. Determine k(-186).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9, 3\/7, -4, 0.05, 5\/3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-75)\/(-30))\/(5\/(-24))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, m: 7}. Give prob of picking 1 k and 2 m.\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 327 (base 14) to base 5\nAnswer: 4443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 7*d**2 + d. Let w(m) = -4*m**3 + 36*m**2 + 5*m. Suppose 0 = 2*b + 12*f - 9*f + 22, -5*b = -f + 55. Determine b*s(r) + 2*w(r).\nAnswer: 3*r**3 - 5*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.7? (a) -14\/3 (b) -49 (c) -2.6 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45954 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4735 is divided by 786?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 7:47 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + i**2 - i - 1. Let p(s) = -31*s**3 - 6*s**2 - 66*s + 6. Let l(c) = -6*j(c) - p(c). What is the second derivative of l(q) wrt q?\nAnswer: 222*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*w**3 + w**2 + w**2 - 9*w**3 + 3*w**2.\nAnswer: 5*w**3 + 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331484873.\nAnswer: 3061, 108293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-17)*y)\/((y*(((((((y\/(y\/(y*y**15)))\/y)\/y*y)\/y)\/y)\/y)\/y)\/y)\/y))\/(((y\/y**2)\/y*y)\/y)**50)**(-7\/3) assuming y is positive.\nAnswer: y**(-518\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 243889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 8627*o**2\/2 - 9376*o - 190. Differentiate u(n) wrt n.\nAnswer: 8627","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + (1 - -1 - 1). Let s be (1\/y)\/((-10)\/(-160)). Suppose j + s = 4*i, 3*j = i - 2*j - 20. Solve 1 + i = -d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1174 + 1174 - 2*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -h**6\/33 + 58*h**5\/55 + 69*h**4\/22 - 442*h**3\/33 + 124*h**2\/11 - 2155. Find j, given that t(j) = 0.\nAnswer: -4, 0, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -801.5 - -872.5. Let c = 133 - 73. Let g = v - c. Sort 5, 0, g.\nAnswer: 0, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21008.4 rounded to the nearest 100?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 - 1. Let y = -149 + 147. What is the closest to y in -3\/7, -2, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*k = -8, k - 2*k = -3*s + 16. Let h = -4 + s. Let q(o) = 4 - 3 - 1 + o. What is q(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 != -5370\/677?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 213\/(-30) + (-3)\/(-30). Let q(o) = -7*o - 38. Let u be q(r). Suppose u*y = -2*y + 3289. What is y rounded to the nearest ten?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 + 274*q**2 + 2262*q - 560106.\nAnswer: 2*(q - 37)*(q + 87)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 463*l**2. Let d(v) = -182*v - 2*v**2 + 95*v + 87*v + 0*v**2. What is d(a(h))?\nAnswer: -428738*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*481\/(-2220)*-5.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -33 + b + 50 + 2*b + 0*b. Let h be t(-4). Solve 0 = -3*z - h*a - 8, 4*z + 6*a = 4*a + 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 43?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 43*o - 81*o + 45*o + 0.\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*b + 17214 = 86964. What are the prime factors of b?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 201390 to the nearest 1000.\nAnswer: 201000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*((-4)\/(-4))\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4020 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 - 3*k**3 + 3*k**3)*(-1 + 5 - 6) - 120*k**3 + 1074*k - 1074*k.\nAnswer: -116*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -r**5\/60 + 7*r**4\/24 - r**3 - 2*r**2. Let b be z(6). What is the second derivative of j + 0*j**4 - 2*j**4 + b*j**4 wrt j?\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 0. Solve -2*l = -n*h - 2, 3*h = l - h - 11 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1*(-2 + -95))\/(-1). Let b(u) = -30*u + 1255. Let s be b(45). Let l = s + f. Solve -g = l - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9190 and 3190?\nAnswer: 2931610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -15*r + 13*r - 42*r - 32*r - 11. Is k(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 6*b + 8. Calculate the remainder when n(-7) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -26 and -0.0669159508.\nAnswer: -26.0669159508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -1\/4 (b) -0.2 (c) 2\/7 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 12*x - 3. Let v be y(-1). Let g = v - -17. Solve 12 = 5*u + 4*s - 1, -u + g = s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 226 - 109. What are the prime factors of j?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*o + 129*o - 2562 = -156*o + 356*o for o.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.002 - -0.00199897. Round m to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206 - 22 = 4*a. Does 23 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -20*d**2 - 400*d + 396. Let g(r) = -6*r**2. Let w(b) = 4*g(b) - v(b). Factor w(l).\nAnswer: -4*(l - 99)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -535, 2, -1, -2, 145, 34 in increasing order.\nAnswer: -535, -2, -1, 2, 34, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**2*q**2 + a**2*r + 2*a*q**2*r**3 - 4*a*q*r - 113*q**2*r**3 + 55*q*r**3 wrt q.\nAnswer: 2*a**2 + 4*a*r**3 - 226*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 32 - 5 - (0 + 3). Suppose -2*t = -7 - 185. Calculate the highest common divisor of t and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.6 and -3924.2.\nAnswer: -3924.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 9*d - 3*d. Suppose -14*r + 17*r - 630 = d. Calculate the greatest common factor of 60 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 5 (b) -85 (c) 225\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -5)\/(-3) - -6 - (-1890)\/(-525)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -48070 and -1.\nAnswer: -48071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23\/42 + 1\/21. What is the nearest to 0.3 in h, 0.2, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**7\/105 + 3*w**5\/10 - w**4\/8 + w**3\/3 - 33*w**2 + 2*w. What is the second derivative of l(h) wrt h?\nAnswer: -24*h**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4017943, -4017945, -4017947, -4017949, -4017951, -4017953?\n\"Answer: -2*m - 4017941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of 5*v**3\/3 - 5*v**2 + 1142*v. Determine n(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1099162617.\nAnswer: 3, 7, 23, 1033, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 4 - 2)*(0*a - 6*a + 15*a**2 - 12*a**2) to s*a + i + r*a**2 and give s.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2072506850 take away 0.3?\nAnswer: -2072506850.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1032 and 23616?\nAnswer: 1015488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59498067?\nAnswer: 3, 19832689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 3)*(t + 0*t + t) + t + 1 - 1 - 1.\nAnswer: -3*t - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22720 (base 11) to base 5.\nAnswer: -2022223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 0*k - 27. Let f(p) = -p**3 + 6*p**2 - 4*p + 7. Let h be f(5). What are the prime factors of (h\/5)\/(k\/(-30))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1854 + -a56?\nAnswer: -23aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -88, -201, -314, -427, -540, -653?\n\"Answer: -113*s + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -6 + 3 + -5 + 9 - -16\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6859.8756ns in hours?\nAnswer: 0.000000001905521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -263? (a) -0.04 (b) 6 (c) -57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*u - 54 + 174 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2. Let l(u) = 35711*u. Calculate l(q(r)).\nAnswer: -35711*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 33 + 12. Let d be 2 - 1\/2*0. What is the units digit of (i\/d)\/((-1)\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -120, -192, -264, -336, -408?\nAnswer: -480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*1\/(-6)*32\/48?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -143500 divided by -4\nAnswer: 35875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -4*w + 4*v, 2*v = -5*w + v + 120. Suppose 13 = 2*x + 4*o - w, 3*x - 57 = -o. Calculate the greatest common divisor of 57 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56431 is divided by 28128?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**2 - 1345*d + 66864 = 0. Calculate d.\nAnswer: -1393, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g**2*u*z**3 - 3*g**2*u - g**2*z**3 + 5*g*u*z**3 + g*u*z + 3*g*u - 2*u*z**3 wrt g.\nAnswer: 8*u*z**3 - 6*u - 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (1 - (-2 - -4)) + (-2743 - -2796)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.3 = -280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 27 - 9. Suppose 6*d = -29268 - 13632. What is the smallest common multiple of l and (12\/(-10))\/(13\/(d\/20))?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 182*a + 4172. What are the prime factors of d(0)?\nAnswer: 2, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 4*y + 22 = 4*u, 3*y = -2*u + 17 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 1) + -2 + -1 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.4 - 3.8. Let r = 33 - 32.5. What is the second biggest value in -11, r, -1\/5, p?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(96)\/sqrt(3) - (sqrt(6)\/sqrt(48))**2) + 5.\nAnswer: -12*sqrt(2) + 43\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 1. Let o = -10 - -11. Let z = o + b. What is the closest to z in 0.4, -0.5, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000036677 to seven dps.\nAnswer: 0.0000367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2650 + 23851\/9. Put k, -32, -1\/3 in decreasing order.\nAnswer: k, -1\/3, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -4, -713?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1316, 2420, 3250, 3800, 4064, 4036, 3710, 3080?\n\"Answer: -f**3 - 131*f**2 + 1504*f - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 1\/4 (c) 12.4 (d) 0.1 (e) 0.026 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2695\/6 bigger than 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**5\/20 - j**4\/12 + j**3\/3 - 2*j**2. Let d(u) be the first derivative of u**3\/3 + u**2\/2 - u + 26330. Give 6*d(t) + 3*q(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 92998568 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 539, 1096, 1671, 2270, 2899, 3564, 4271, 5026?\n\"Answer: t**3 + 3*t**2 + 541*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, -0.5, 3, 61314, 2\/5, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 367 - 327. What is the highest common divisor of u and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44285 and 255.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197 = 2*k + 2*k - 101 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48366, 48358, 48324, 48252, 48130, 47946, 47688, 47344?\nAnswer: 46902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(99))\/sqrt(3))\/(sqrt(1100)*1))**2 - ((sqrt(189)\/sqrt(7) - sqrt(27)) + sqrt(108) + 3)**2.\nAnswer: -2922\/25 - 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**10*i*i**(-26))\/(i**8)**(3\/4) assuming i is positive.\nAnswer: i**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*g**5 + 677730*g**4 - 1529703483*g**3 - 6129662412*g**2 = 0. What is g?\nAnswer: -4, 0, 22601\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*l**2*r**2 - 24*l*r**3 - 21*r**3 - 16 wrt l.\nAnswer: 12*l*r**2 - 24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**3 - 355*r**2 + 171*r + 1986. Determine w(177).\nAnswer: 924","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11720025 and 44750.\nAnswer: 117200250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffbfjzdbfdbfbbzfj. Give prob of picking 1 f and 1 j.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -44 + 44 - 75*a as h*a + w and give h.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13264469 and 1735538.\nAnswer: 185702566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5122 - 2094 = 656*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -19, 0.01, -0.08, -2\/11?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2026577*b**3*d + 3*b**3*r + 1034950*b**2*d*r wrt r.\nAnswer: 3*b**3 + 1034950*b**2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/5)\/((-84)\/56)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 4*u - 3. Let t(v) = 2*v**3 + v**2 + 4*v - 22. Let r be t(2). What is k(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*b*q*t*z**2 - 3*b*q*t - 2*b*t**2*z**2 - b*t**2*z + 15*q*t**2 + 35*t**2*z**2 wrt q.\nAnswer: 5*b*t*z**2 - 3*b*t + 15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/40)\/(1\/3) + (-1096)\/(-1370).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/7 - 8150*m\/7 + 1164.\nAnswer: 2*(m - 4074)*(m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -0.4. Suppose -5*f = 4*v - 56 + 33, -2*f = 13*v - 89. Which is smaller: v or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -198, 3, 1995566, 0.3 in descending order.\nAnswer: 1995566, 3, 0.3, -4, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*d + r, -6*d + 22*r + 38 = 20*r. Let w be ((-2)\/4)\/(2\/(-20)). Suppose 5*c + 202 = c - 5*a, d*c + w*a = -250. Which is smaller: c or -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -2231245.\nAnswer: -6\/2231245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-8) + 66\/24. Suppose 0 = a*g + g - 52. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4330 or -0.013?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 110\/21, -3\/5, -16\/17, -2\/33 in descending order.\nAnswer: 110\/21, -2\/33, -3\/5, -16\/17","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z - 6911 + 9359 = -14*z for z.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((456\/95)\/24)\/((-8)\/(-10)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73226*b**5 - 19*b**4 - 13*b**2 + 352495164*b?\nAnswer: 1464520*b**3 - 228*b**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*m + 32*m = -9. Solve 4 = -2*y - 0*y - 2*d, -m = 3*d for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52554701*q**5 + 3304873*q**2 + 65 wrt q.\nAnswer: -3153282060*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*x - 13*x + x**2 + 0*x.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 1)*(1 + 4 - 2)*(0 + 2*u + 0).\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (51\/170)\/(((-2862)\/(-8))\/(-3)). Let y = -5282\/7155 + j. Calculate the common denominator of y and -121\/6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16261, 1, 5 in descending order.\nAnswer: 16261, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/4)\/((-40)\/128*-36). Let a = -92 - -92. What is the second smallest value in a, w, 99?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*r - 33 = 0, -25008 = -4*i + 2*r - 24802 for i.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 289884 and 408.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1394632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2400*c**4 + c**3 + 2*c**2 - 2*c - 78518 wrt c?\nAnswer: -9600*c**3 + 3*c**2 + 4*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.9 + -3. Let i = 11 - 21. Let l = i - -6. Sort l, a, -0.5.\nAnswer: l, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, e: 4, p: 1, f: 2}. Give prob of picking 1 p and 2 e.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 106\/18 - 1995\/399?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -202378.8 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2662 and 4022918218.\nAnswer: 2662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -19633.\nAnswer: -12\/19633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25687319 is divided by 882.\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -79*y**6\/6 - 20*y**3 + 3*y**2\/2 + 55. Find the third derivative of p(l) wrt l.\nAnswer: -4740*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 15 = -3*w, 3 = 4*a - w + 8. Let u = 4 + a. Suppose u*g = 40 + 20. Calculate the remainder when 44 is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -14.9716861, 1, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6262.\nAnswer: 2, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 8*w - 3. Let l be z(-8). Let s be (1 - (-114)\/(-102)) + (-20)\/(-170). What is the closest to 1\/2 in 0.3, l, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 6, -2\/7, -0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 11. Suppose -182 = -o*k - 0. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**2 - a**5 + 2*a**2 + (-1 + 1 + a)*(-5*a - 4*a**4 + 5*a) - 4 - 1 + 0 + a**5.\nAnswer: -4*a**5 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, d: 3}. What is prob of picking 1 q and 2 d?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 12:37 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 2*x + 17 = 0, -5*x = 5*w - 48 + 18 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - i = 3*i - 10, 0 = 4*s + 4*i - 12. Suppose -s*t + 12 = t. Suppose -t*c = -6*c - 4*m + 46, -20 = 5*m. List the prime factors of c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88500?\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w - 8*w + 2*q = 960, 0 = -3*w + q + 576. Calculate the highest common factor of w and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116477, -232916, -349313, -465668, -581981, -698252?\nAnswer: -814481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1484 - -16326\/11. Put p, -0.2, -0.18 in descending order.\nAnswer: p, -0.18, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/15 or -11\/2836711?\nAnswer: -11\/2836711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5614750 equal to 5614666?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 620816589.\nAnswer: 3, 22993207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1664 and 731744.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.3 (b) 60 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**17*u)\/(u\/(u**(17\/5)\/u)) assuming u is positive.\nAnswer: u**(97\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*y + 121*y = -12480. Calculate the greatest common factor of 30 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 784 and 280?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 20081, 19604, 18801, 17666, 16193?\n\"Answer: -d**3 - 157*d**2 + d + 20238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10228876 is divided by 56827.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 4, -8*h - 194 = -4*s - 9*h. Find the second derivative of 97*k + 47*k + 2*k**3 + 57*k**3 + s*k + 145*k**3 wrt k.\nAnswer: 1224*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r**2 + 4*r**2 - 1 + r**2. Let m be n(-3). Let t = m + -639\/8. Which is the third smallest value? (a) t (b) 0 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2))**50*t*(t\/(t**(-4\/9)*t))\/t*t**(5\/4)*((t**(-3))**(1\/3))**43 assuming t is positive.\nAnswer: t**(-5087\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-6 + -5 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -8*p**3 - 4*p - 3. Let n be f(-2). Suppose 0 = k - 0*k + 2*h - n, 0 = 3*k + 3*h - 222. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4717 divided by 89\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 + 60.041. Let b = f + -0.04099973. What is b rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1821197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -427*g**2 + 1995*g - 1997. Determine m(1).\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/88*(0 + (2 - 5)). Is 0 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2777 and -0.2?\nAnswer: 555.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*r - 324 - 333. Let u = -49 - r. Let y = u - 21. Solve 0*s + y*s = 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -14. Let m(f) = -120*f - 7. Let z be m(g). Let x = z - 212. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 0.2. Suppose 4*b + 81 = h, b - 2*h - 38 = 3*b. Which is bigger: b or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.74, 3\/2, -0.7, 5, 4, 2\/63?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(385\/(-21))*(-4)\/6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/738 and -13\/342?\nAnswer: 14022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 5*r**2 - 4*r + 7. Suppose 4*u - 12 = 12. Determine b(u).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26354 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 q, and 1 o when four letters picked without replacement from {o: 5, q: 1, h: 4, v: 5, l: 1}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/3 + (-4)\/6. Let j = -5 + s. Calculate the highest common factor of 4 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 3. Suppose 846 = 7*m - 3*m + 2*k, -3*k + o = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45249?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 12, z: 7}. What is prob of picking 1 z and 2 a?\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21\/4 - (12\/16)\/3. Solve 32 = -4*b - 5*i + 24, -a*b + 23 = -2*i for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 754 and 169969?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9765, -38555, -86539, -153717, -240089?\n\"Answer: -9597*w**2 + w - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(99) - -3*(sqrt(22)\/sqrt(2))**2.\nAnswer: 3*sqrt(11) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*8\/((-80)\/45)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*(-2)\/(-8) - (39 - 41). Let i be (-17 + 11)*(-1)\/9. Which is the nearest to i? (a) 0.02 (b) j (c) 3\/7 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -281157 by 93719.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 2.605203s?\nAnswer: 2605203000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6650 or -6902?\nAnswer: -6650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -17*k**3 - 1 + 2 + 2*k + 2*k**3. Let y be 4\/(-4)*-2 + -3. Is j(y) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 6*b + 11. Let u be o(5). Suppose r = 10 + u. Let h(x) = 9*x**2 - 7*x + 4. Let k be h(3). Calculate the highest common factor of k and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/18 + 11398\/12. Calculate the common denominator of (-8)\/(-40)*c\/(-8) and -44\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b**3 - 3*b - 6. Let c be z(-2). Let l = c + -12. Solve -2*w + 3 + 1 = -i, 0 = 5*i - 3*w + l for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 33*k**3 - 57*k**2 + 24*k = 0.\nAnswer: 0, 8\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (-12 + 12) - -113 - (13 - (0 - -3))?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/(-22) - (-213020)\/880 - 1\/4 is divided by 74.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 505091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1776 - 0.4?\nAnswer: 1775.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(5\/3)*r*r**7)\/(r**(1\/6)\/r)**1)**(-1\/40) assuming r is positive.\nAnswer: r**(-21\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(77)\/sqrt(11))**2*-2 + 1.\nAnswer: -15 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0321*-221.\nAnswer: -7.0941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -6) + (-2)\/2. Suppose 2*c - 22 + 8 = x*z, 0 = -5*z - 20. Let p(a) = a**3 + 5*a**2 + 3*a - 4. What are the prime factors of p(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**3 + 4*b**2 - 4. Let m(t) = 4*t**3 + 7*t**2 - t - 7. Determine -7*f(y) + 4*m(y).\nAnswer: 2*y**3 - 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 2*n - 8 = 0, -3*u - n + 13 = n for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14538, 29187, 43836, 58485?\n\"Answer: 14649*f - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 7:50 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (1 - -5 - 11 - (-9 - 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ni when two letters picked without replacement from ccknccyipcc?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -390 + 392. What are the prime factors of 566 + 4 + 6 + j?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5*a. Let k = 19 - -24. Let r = k + -31. What is the remainder when b(7) is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g + g - 4*g)*(3 - 4 + 3 + (-2 + 2 - 1)*(4 - 3 + 0) - 1 - 1 + 0 + 6 - 3 - 2 - 3 - 1 + 3 - 3 - 1 + 2).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 14) to base 9\nAnswer: -255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 114 - 106. Suppose -3*q = -i - q - 3, 3*q - 9 = 0. Calculate the remainder when z is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1535492*-30.9.\nAnswer: -47446702.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*r = -100. Suppose -r = -5*i - 0*i, -4*i = -5*b + 24. Let y be b + 4 + (2 - 6). Which is smaller: y or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + 1)\/((-158)\/(-3160)). What is the greatest common divisor of 64 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 3*m - 13. Let h be u(-2). What is the remainder when 3594\/(-12)*30\/h is divided by 121?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212 + 111201020220?\nAnswer: 111201020001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 22*b**2 + 22*b + 21. Let v be a(-21). Suppose -o + 3*c + 2704 = v, -4*o - 2*c + 10823 = -7*c. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, z: 3, n: 12}. What is prob of picking 2 z?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 669.9753 rounded to 1 dp?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 347330044.\nAnswer: 2, 1481, 58631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0461 - 0.0661. What is the fourth smallest value in 0.1, g, -5\/2, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/10 (b) -3 (c) -713\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -84819c (base 14) to base 11.\nAnswer: -2589882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + (-6 - 2) + 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*h**3 + 43995*h**2 + 153897*h - 87948.\nAnswer: 3*(h + 4)*(h + 7329)*(2*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(-204)*(3*-3)\/(-1)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279*g + 16501 = -718*g + 1039 + 1504 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/198 - 306\/(-1683).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -662.91982 > -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b + 58. Let q(z) = -3387*z + 58. Let a(s) = f(s) - q(s). Let m(t) = -t. What is a(m(p))?\nAnswer: -3389*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 - 3*l + 8 + (0 - 4 + 5)*(25*l - 4*l + 19*l).\nAnswer: 37*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/279 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1727 is divided by 58?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**4 + n**3 + 2*n + 2. Let h(j) = 133*j**4 - 4*j**3 - j - 13. Let k(r) = -4*c(r) - h(r). Find the second derivative of k(u) wrt u.\nAnswer: -1644*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((q - 3*q + q)*(5 - 2*q - 5) + 140416*q + 1056*q**2 - 140416*q)*(-7 + 7 - 7*q + (2*q + 2*q - 5*q)*(3 - 3 - 2)).\nAnswer: -5290*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 55579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 5*o - 9 = 0, 4*o = -3*b - 2 + 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhh. What is prob of picking 2 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.82 + 0.22. Let c = d - -0.01. Let w = c + 0.58946. Round w to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48124 divided by 24062.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (-1 + sqrt(117)*1) - sqrt(117)*2*-2 - (sqrt(117) + (sqrt(117)*2)**2*4 + sqrt(117) + 5))*-4.\nAnswer: -24*sqrt(13) + 7504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*7309.0723.\nAnswer: -1461.81446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -180 - -180 - (5 + (-9 - -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 - 8*c + 21. Let p be (3 + 3)\/(12\/8). Let l(j) = j**2 - j - 1. Let o(u) = p*l(u) + v(u). Is 17 a factor of o(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.12 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 713350796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 minus 157.0832302?\nAnswer: -157.6832302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4164609309 to the nearest integer?\nAnswer: 1609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 21 - 461 = 0. Is 6 a factor of ((-75)\/(-4))\/((-11)\/o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174238 to the power of 1\/2, to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -196.82079 or 0.2?\nAnswer: -196.82079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2241*d = -4*g - 2242*d - 38, -2*d - 108 = -0*d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 298, 598, 898?\nAnswer: 1198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 o when four letters picked without replacement from {i: 1, p: 1, y: 2, o: 13}.\nAnswer: 39\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, u: 11, n: 6}. What is prob of picking 2 n?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 o when four letters picked without replacement from oossoossssos.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 488001 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38323*l - 274*l**2 + 38323*l to a + f*l**2 + j*l and give f.\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1673\/10 - -178. Find the common denominator of 69\/20 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1270489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*z - i + 7, 4*z - 4*i - 24 = 0. Suppose -y - 6*g + 1035 = -z*g, -3145 = -3*y + 4*g. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5966688 divided by -5?\nAnswer: 5966688\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 942 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4\/1691 + -1671\/8455. Put y, -89, 12 in descending order.\nAnswer: 12, y, -89","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 + 2 - 10*k - 3 + 3 + 2*k - 1 + 2*k + 1 + 5*k - 2*k - k + (-5*k + 3*k + k)*(0 - 2 + 0) in the form w*k + f and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1645 and 55601?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 25 (c) -15 (d) 77 (e) 3\/2 (f) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 15) + (-33 - -41) + (105 - 60).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1507)\/411 + -4*(-5)\/24.\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1016\/5007 or 1?\nAnswer: -1016\/5007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/5024 and 107\/6280?\nAnswer: 25120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9559106, -9558991, -9558874, -9558755, -9558634?\n\"Answer: c**2 + 112*c - 9559219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-6))\/(3945\/(-526)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1560 - 1552. What is the smallest value in -0.3, b, 4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*t - 56*t + 9*t + 13*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1649.\nAnswer: 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12745 rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**3 - 2*j**2 - 3*j - 1. Let d be (-153)\/(-34) + 3\/(-2). Let l(r) = 21*r - 96. What is the remainder when l(8) is divided by x(d)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-3) + 0)*-3. Suppose 7 + 9 = b*y. Suppose -u - 27 = -3*i, -3*u = 2*i - y*u - 19. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196 = -2*a + 4*a. Let y be 102\/(-4)*(-14)\/3. Let h = a + y. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -534204 + 1548123221\/2898. Calculate the common denominator of w and -101\/180.\nAnswer: 28980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2014606 (base 7) in base 16?\nAnswer: 3a70b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (0\/((-1)\/(-1)))\/(49\/(1225\/(-50)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 8 = 0, q + 5 - 50 = 5*d. Solve -63*m = -q*m - 56 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 88804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a decade in months?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3400 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2159 - 1763. What is the least common multiple of 42 and m?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/6)\/2*(-31)\/(558\/54).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 527 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 75*s - 78*s - 24, -23 = -5*s - 2*a. What is the remainder when 1405 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 a, 1 j, and 1 i when four letters picked without replacement from {h: 3, k: 6, a: 2, j: 2, i: 1}.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, w: 5}. What is prob of picking 3 v and 1 w?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/72)\/((-1200)\/1125).\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*m - 13 = m, 0 = 2*a - m + 5. Which is smaller: -6 or a?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 55 - 5*v**2 + 0*v**2 - 7*v - 20 + 0*v**2 wrt v.\nAnswer: -10*v - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -50\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 420469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i\/(i**(-1\/3)\/i))\/((i\/(i*i**(-6)))\/i)*i**(2\/3)*i*(i**(-7)*i)\/i assuming i is positive.\nAnswer: i**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9129767*u - 9591666?\nAnswer: -9129767","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*4\/(-18) - (-101)\/9. Solve 4*g = o - 19 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((-3 + (sqrt(85) + 2*sqrt(85)*4)\/(sqrt(45)*2))*-5 + -2))**2 + -3.\nAnswer: -1755*sqrt(17) + 40497\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76697, 153388, 230079?\nAnswer: 306770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qhhqhhq. What is prob of sequence qqh?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/4488 and 28\/3780579.\nAnswer: 30244632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(7\/3)*u**(-4\/3)*u*(u\/(u*u**(-7)))\/u**(1\/17) assuming u is positive.\nAnswer: u**(169\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 78991.81 centuries?\nAnswer: 94790172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 994427611?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/9 or -2\/41?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 52 and -0.4.\nAnswer: -20.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**3 + 53*r**2 - 55*r - 727. Suppose 12 = s + 2. Calculate the remainder when j(-27) is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 513 - 509. Suppose 2*l + 2*l - 200 = 0. Suppose -5*o - l = -140. What is the lowest common multiple of w and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.5 (b) 198 (c) -0.4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.5? (a) -1\/2 (b) 4 (c) 143\/5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(3\/7))**29\/((m*m**(-1\/4)*m)\/m)**(-38) assuming m is positive.\nAnswer: m**(979\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, a: 6, h: 1}. What is prob of picking 4 a?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 8 = -3. Let d(w) = -6*w**2. Let n(t) = -t**2. Determine a*d(f) + 5*n(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-56 - 71)) + -183.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -0.158546.\nAnswer: -1.158546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 4*g - 2*g)*(29548 - 2785 - 2754).\nAnswer: 48018*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 divided by -33?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-63)*(6\/(-5))\/(-2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121.2098 rounded to 1 dp?\nAnswer: -121.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -687 and -688 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -4*i + r, -i - i + 4*r - 10 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3352804 or 3352805?\nAnswer: 3352804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.3 - 7. Let z be 14\/10*100\/56. What is the nearest to f in -3, z, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -932.633171 + 407.6\nAnswer: -525.033171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 95 and 7?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**2 + 2*i + 3. Suppose 2503 = 27*z + 2584. Let g(m) = 6*m**2 + 4*m + 7. Give z*g(v) + 7*l(v).\nAnswer: 3*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11993.9 times 2\nAnswer: -23987.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from bvvvvvb.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-22)\/3 - 182\/273)*(-3)\/(-6). Let v(c) = 2*c**2 - 22*c. Let g(j) = 2*j**2 - 22*j. What is s*g(m) + 3*v(m)?\nAnswer: -2*m**2 + 22*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**3 + 4*a**2 + 2*a + 16. Let w(o) = -3*o**3 - 7*o**2 - 3*o - 31. Suppose -11*p + 17 = -13*p + 5*t, -41 = -4*p - 5*t. Determine p*w(f) + 7*b(f).\nAnswer: 2*f**3 + 2*f - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 7*t**2 + 16*t. Let m(z) = -21*z**2 - 48*z - 1. Let x be 1 + -2 - 1 - 2. Let p(b) = x*m(b) - 11*q(b). Solve p(c) = 0.\nAnswer: -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 204*b**3 + 2*b**2 - 717 with respect to b.\nAnswer: 612*b**2 + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -60 in -18, 5, 2, -3, -1\/5, -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1656455657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/((sqrt(16)\/sqrt(2) + sqrt(8))*4)*-2.\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1761 + 2525. Does 35 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 110 = 4*l - 103, -3*s = 5*l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 680 - 669. Calculate the greatest common divisor of a and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(7) + -1 - (sqrt(7) + -3 + sqrt(42)\/sqrt(6)))**2*1.\nAnswer: 2*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.36? (a) 15 (b) 2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**3 + 31*f**2 + 19*f + 24. Let h be p(16). Calculate the highest common divisor of 72 and h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/72*(4 - -2)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 263 divide 19017630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 30702175277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1901, -1492, -723, 412, 1919, 3804?\n\"Answer: z**3 + 174*z**2 - 120*z - 1956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 685*l - 284858. Determine o(416).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 5*u**2 + 7*u + 6. Let b be c(-7). Suppose b = 2*z + 3*z. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(-3) + (-14113)\/(-33)?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f - 10*f**2 - 5*f)*(-3*f**2 - f**2 + 2*f**2) + (-3*f**4 + f**4 + f**4)*(1 - 6 + 3).\nAnswer: 22*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 4:20 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1596 is divided by 51?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*z**2 - 40372*z + 40372*z)*(z - 5*z + 3*z) to the form j*z + k + d*z**3 + u*z**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c - 3. Let l be p(4). Let y = 2 + l. What is the derivative of y - 8 + 1 + z**3 wrt z?\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 12 - 28 = 0. Let k be (10\/n*(-24)\/30)\/1. Solve 0 = v + v + k for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 130795673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*m - 2556 = 194*m for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -174924297 - -302122061. Let x = k - 127197790.0000026. Let u = x - -26. What is u rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 966387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 174.263 * 2.\nAnswer: 348.526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 187352 - 187351.7. Let o be 1*2\/(-17) + 0. What is the smallest value in 0.2, w, o, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/329 and -83\/376.\nAnswer: 2632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 8*i + 380. Let v = -1706\/9 + i. Is v at most -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 59741330?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2864343, -5728685, -8593027, -11457369, -14321711, -17186053?\n\"Answer: -2864342*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -20 + -391*4\/(-92). Let h = -2.93 + -0.07. Let l = h - -1. What is the smallest value in k, -0.3, 4, l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 2*a - 6. Let n be w(4). Let d(m) = 6*m + n*m + 2*m - 9*m. Let k(j) = -5*j. Give k(d(g)).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 0) + -2 + 2 + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**3\/6 - 26*y**2 + 105*y\/2 - 54. Determine w so that b(w) = 0.\nAnswer: -105, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 16*k**3 + 72*k**2 - 301*k + 12. Give i(4).\nAnswer: 984","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 766 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, y: 5}. What is prob of picking 2 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 - 3197592*q + 852049549872.\nAnswer: 3*(q - 532932)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-10 - 5) - -14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f - 218 - 948 = 117*f for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1376.807307 rounded to 1 dp?\nAnswer: 1376.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/34*584800\/(-4128).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from kkfvvinvknrknkffk?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -287\/1116 + 2\/279. What is the closest to -0.1 in j, -1\/6, -1\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88411722945508 + 0.2.\nAnswer: -88411722945507.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -160 by -1390.\nAnswer: 16\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*i + 38*i - 61*i)*(-2*i**3 - 2 + i - i).\nAnswer: 132*i**4 + 132*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -4*o**5 - 176*o**4 - 2544*o**3 - 12440*o**2 - 5644*o + 20808 = 0.\nAnswer: -17, -9, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(4)\/sqrt(2) + sqrt(4)\/sqrt(128) - (sqrt(20) - (sqrt(320) + (sqrt(320) - sqrt(320)*-1)))\/(sqrt(90)\/(sqrt(9)*-1)))**2.\nAnswer: 79*sqrt(2)\/2 + 6369\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6807 or -506.9?\nAnswer: -506.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 5*y**2 + 5*y - 1. Let i(x) = 16*x + 132. Let v be i(-8). Let r be u(v). Which is the nearest to -1\/4? (a) -1\/18 (b) 0.3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -146, -293, -440, -587?\n\"Answer: -147*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**3 + 11*h**2 + 11*h + 6. Let w be s(-4). Suppose 16*b + 21378000 = w*b. What is b rounded to the nearest one hundred thousand?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/43735 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2986980 and 5055?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 410714, 410716, 410718, 410720, 410722?\nAnswer: 410724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-28))\/((-7)\/28)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 47*b. Let g(z) = -1753*z. Calculate g(r(o)).\nAnswer: -82391*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75*b - 1 + 42*b + 2)*(-b**3 + 4*b**3 - 2*b**3).\nAnswer: 117*b**4 + b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**4\/7 + 39*x**3\/7 + 96*x**2\/7 + 60*x\/7 = 0.\nAnswer: -10, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 5) to base 10\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-18)\/8)\/((30\/(-16))\/(-5)). Let k = 404 + -404.1. Let s = 0.1 - -0.9. Which is the closest to -2? (a) s (b) k (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = -f + 363. Let j = 292 - f. Solve j*q = 10 - 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 15, 3, -13, -33, -57?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((980\/(-21))\/14)\/((-4)\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kko when three letters picked without replacement from {o: 3, k: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (37 + -51)*((5 - 1) + -12). Solve -32*f + w = -4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*r = 8. Let k(b) = -b**2 + 6*b - 4. Let s be k(r). Solve -s*z + 2 = 14 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*l + 8019*l**3 + 8*l - 1254*l**2 + 3*l - 18*l wrt l.\nAnswer: 48114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 z when four letters picked without replacement from {z: 18, i: 2}?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 + -50. Suppose 0 = -0*o + o - y. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95417 <= 95416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t + 1. Let a(l) = -3*l + 9 + 3*l + 0*l + 5*l. Calculate a(q) - 4*p(q).\nAnswer: q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*q = -86, 2*n + q - 55 = -4*q. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 12. Suppose 0 = 2*p - 4 - d. Calculate the highest common factor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -1\/8 (c) 0 (d) -86 (e) 6\/47 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = -62*j + 2235. Is j equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5*j + 2. Let y(g) = 10*g - 4. Calculate 9*v(l) + 4*y(l).\nAnswer: -5*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 112419 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/10*4\/3. Let j(v) = v - 2*v - t*v + 0*v. Let h(u) = -3*u. Let n(c) = -3*h(c) + 4*j(c). Let q(k) = -k. Determine n(q(i)).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -147 - -149. What is the third derivative of -7 - 20*r**6 + 9*r**6 + r**t - 4 wrt r?\nAnswer: -1320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkzzkzh. What is prob of picking 1 k and 1 z?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5949, 5944, 5937, 5928, 5917, 5904, 5889?\nAnswer: 5872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -557 divided by 13.\nAnswer: -557\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057140 a multiple of 315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5091*u**3 + 3*u**2 - 12*u - 8. Let n(c) = c**3 - c**2 + c. Let y(o) = h(o) + 2*n(o). Let a be y(-6). Round a to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12846\/14 + 12\/28. Suppose 0 = -14*d + 20*d - n. Calculate the remainder when d is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 27*p - 48*p + 33*p. Let n = -3 + 5. Let d be 0\/(-1 + n) - 2. Which is greater: p or d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 20 + 12 = 0. Suppose -v*b - 392 = -12*b. Calculate the highest common factor of 49 and b.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 + 32. Suppose 9 = -3*b + 4*z, 3*z - 3 = s*b + 4. Let l = 0 + b. What is the nearest to l in -1, -1\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-7) + (-54)\/(-42). What is the units digit of (-10 + w)\/(6\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 5*y**3\/3 + 57*y**2 - 3*y - 92. Let d be m(-23). Calculate the highest common divisor of 25 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -45 + 0*f + 0*f**2 + 89\/5*f**5 + 1\/4*f**4 + 49*f**3. Find the third derivative of p(m) wrt m.\nAnswer: 2136*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2740 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1294991 is divided by 782?\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - d - 1. Let t(p) = -1. Let r(j) = 3*k(j) + 3*t(j). Factor r(h).\nAnswer: 3*(h - 2)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27666)\/424 + 43 + 26\/8?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times 0.0613?\nAnswer: 0.003678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2443 = g - 0*g, -2*g = 0. What are the prime factors of z?\nAnswer: 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6*(342\/18)\/2698*-6.\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 600 and -7.\nAnswer: -4200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 15 = 2*s. Suppose 8 = 7*q - s*q. Is 198\/q + (-5 - -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, c: 3, w: 2, x: 3, q: 2, o: 1}. What is prob of sequence qf?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(6*(2*(sqrt(156) + (sqrt(156)*-2 - sqrt(156))) - sqrt(156))\/(sqrt(216)\/sqrt(2)) + -5).\nAnswer: -50*sqrt(13) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 44074668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 855178.\nAnswer: 2, 41, 10429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 502.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (-1)\/(-3)*15. Suppose 5*s + 6 = -o. Which is smaller: -4\/7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/3 or -44\/17?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 8:23 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h - 33 = 19*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r. Let y(o) be the second derivative of 0 + 0*o**3 - 1\/60*o**5 + 0*o**4 + 8*o + 4*o**2. Let b(c) be the first derivative of y(c). Calculate b(d(w)).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31303, -31883, -33457, -36523, -41579?\nAnswer: -49123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -84 + 83.8. Sort 5, 54, i.\nAnswer: i, 5, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 - 3.7. Let f = g - 2. Let r = 59.6 - 58.6. Which is the closest to r? (a) 4\/5 (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (45\/10 - 4)*74 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3\/2)*b)**(14\/3))**24 assuming b is positive.\nAnswer: b**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -383*q - 39. Let x = 618 - 619. List the prime factors of c(x).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*m + 5*s, 0 = 2*m - 3*m - 4*s + 21. What is the remainder when m is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**2 + 12*n**2 - 8*n**2 - 4*n**2.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w + 1834 = -2745. Let h = w + 974. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 + 15187 + 11*f - 30380 + 15193.\nAnswer: 2*f**2 + 11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4801 + -5028. Which is the second biggest value? (a) 0.2 (b) 0 (c) 0.3 (d) -3 (e) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380 is divided by 47.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c**2 - 13*c - 4. Let w = 116 - 112. What is the remainder when 60 is divided by o(w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) -0.3 (b) 0 (c) 2\/7 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(833)*3*6 - -5*(1*(2 + sqrt(833)) + sqrt(833)))**2*-4.\nAnswer: -12808608 + 34720*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(8\/(-923)))\/((-17)\/13124). Suppose -s = -5*n - z, 56*z - 61*z = -n + 35607. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3294282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 162812 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 z when three letters picked without replacement from {k: 7, n: 1, z: 4, s: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 2*d)*(4*d - 2*d - d) + 76*d - 42*d + 4*d**2 - 3 - 48*d to the form c*d**2 + h*d + z and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 7881850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i**3 + 2*i**2 + 8. Let d be x(-4). Let t = 278 + d. Calculate the remainder when t is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4272.567 rounded to the nearest integer?\nAnswer: 4273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -145.1 + -10.9. Let b = -155.29 - c. What is the biggest value in b, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -631 + 692. Calculate the greatest common divisor of l and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11 + -4)\/(-5)*11. Calculate the greatest common divisor of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 - 3*c**2 + 4*c**2 - 2*c**2 + 0*c**2 + 3*c**2 - c**2 - 2*c + 2*c + (-2*c + 0*c + c)*(c + 3*c - 2*c) + c**2 + 0*c**2 + 0*c**2)*(-4 + 10 + 1).\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1482, -2956, -4430, -5904, -7378, -8852?\nAnswer: -10326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -231 - 2*n + 2*n**3 + 169 - 159 - 184 to the form b*n + f*n**2 + t + y*n**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i + 6*i + 12 + i - 1. Let s(y) = -y**3 + 12*y**2 - 20*y - 8. Let z be s(10). Let u(x) = -2*x - 4. Determine z*u(c) - 3*b(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-296)\/(-111)*(-1512)\/36.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1048595?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 30*w + 5*l, 186*l + 5 = -3*w + 182*l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 8 = -3*l - 2*t, 5*l = 2*t - 20. Is (-385506)\/(-26) - (-7)\/(273\/l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001100 (base 2) to base 9\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/5))**22\/((g*g**(-2\/5)*g*g*g)\/g*g)**(-11\/4))**(-37) assuming g is positive.\nAnswer: g**(-6919\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 60 = 5*s, -28*s - 2*h = -26*s - 16. Sort 5, -2, s, -3 in ascending order.\nAnswer: -3, -2, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/126*(-1932)\/184. Find y, given that -13\/3*y - k + 5\/3*y**2 = 0.\nAnswer: -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5253*y**4 + 1093*y**4 - 1029*y**4)*(0 - 2 - 1).\nAnswer: 15567*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1*4 - (46\/161 + (-1041940)\/14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*m - f, -7*f + 4*f - 9 = -2*m. Suppose 3*h - 365 = -t, -m*h + 4*h = -t + 365. What are the prime factors of t?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6*a = -5*h + 10005, 4*a - h + 10001 = 0. What is a rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q - 5*r = 5, 4*r - 10 = 130*q - 132*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3093489 or 3093488?\nAnswer: 3093488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**4 + 1510 + 5*o**2 - 5*o**3 + 1504 - 3015 in the form w*o**3 + z*o**2 + d*o + b*o**4 + x and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6210*h + 223576. Determine x(-36).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-9) - 228\/(-54). Let r be (-40)\/((-1 + 0)*1). Let a = r + j. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 538*x - 584*x + 644. Sort 0, 6, 3, -8, x in decreasing order.\nAnswer: x, 6, 3, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -11*o**3 - o**2 + 12*o + 15. Calculate h(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 302.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-2)\/4 + (1 - 315\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 - 5*h**3 - 4*h**3.\nAnswer: -11*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xsxnysnfxmnssxxxxsyx. Give prob of sequence ymf.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16*2\/(-4))\/(-18 - 146).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/6*10\/25?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*o + 3*o + 29*o.\nAnswer: 65*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t + 11. What is m(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3*(-2*sqrt(34) - sqrt(34))\/sqrt(2) - (sqrt(833) + -1)*-5))**2.\nAnswer: -1040*sqrt(17) + 46068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2468 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -6. Suppose -2*m = y - 42, y + 3*m = -c*y + 238. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 1 - 1 - 5*h + 6*h. Let l(b) = -4*b. Let r(y) = 6*l(y) + 17*n(y). Let g(o) = -o. Determine r(g(k)).\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*x**3 - 11*x**3 + 20*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d + d + 166 - 1421 - 1143.\nAnswer: d - 2398","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence izf when three letters picked without replacement from fizi.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23 and 35?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*a**2 - 15*a - 3 wrt a.\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 p when two letters picked without replacement from {d: 1, n: 6, p: 6, j: 1, z: 5, b: 1}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1592 a factor of 1127387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6451 divided by 2.\nAnswer: -6451\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*(4 + (sqrt(98) - (sqrt(98)*-3)**2))*-1*-5.\nAnswer: -17555 + 140*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-210))\/((-106)\/8533*23)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**3 - y**2 - y - 2. Let o(x) = 693*x**3 - 315*x**2 - 315*x - 630. What is -o(j) + 315*s(j)?\nAnswer: -63*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30*7*3\/210. Let c(k) = k**2 + 3*k - 12. Give c(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 + 76. Suppose 0 = a + 1, 5*m - 3*m = -5*a + 769. Calculate the greatest common factor of r and m.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 7*z**2 + 7*z + 13. Let o be m(8). Suppose 4*i - 2*i - 17 = -3*g, 70 = o*i + 2*g. Is (-422)\/(-4) + (-24)\/i a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*p + 2 = 0, -2*p - 9 - 1 = -4*f. Is f less than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*m - 31*m + 9*m - 308*m as j + b*m and give b.\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12530)\/(-42) - (-2)\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10350856, 20701715, 31052574, 41403433, 51754292?\n\"Answer: 10350859*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = w - 19, -9*w + 12*w - 2 = -2*x. Let m = -3.7 - -4. What is the fourth smallest value in x, 4, m, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 4*c**2 - 5*c + 5. Suppose 0*n - 7 = -n. Suppose 0 = -3*f + n + 8. Let w be d(f). Solve w*h - 14 = 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8611199l?\nAnswer: 861.1199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -40. Suppose b = w*b + 1196. Let t = b + 100. Which is bigger: 7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 1118 = -o - 2275, 2722 = 4*r + 3*o. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 2*o = 16, -58*o + 62*o = 3*x + 18 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**5 + 14336*u**4 - 12859384*u**3 + 25675776*u**2 - 12830724*u.\nAnswer: -4*u*(u - 1791)**2*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10930395 is divided by 812.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204941 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3 = 5*h, -h + 3*b = h + 3. Let d = 106 - 70. Let l = d + -32. Sort l, -2, h in descending order.\nAnswer: l, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -19*c - 100. Give t(-8).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96447692.\nAnswer: 2, 11, 2191993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dn when two letters picked without replacement from mmgdnnmdgllndgmdnmn?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 1431.70944365?\nAnswer: -1431.60944365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 68*o - 1384 - 1653 + 861. Calculate the lowest common multiple of 592 and o.\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 8, r: 3}. What is prob of picking 3 r?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2600) - -2*sqrt(2600)) + sqrt(2600) - sqrt(312)\/((sqrt(300) - sqrt(12) - sqrt(12)) + sqrt(12)))\/(-4*-1*sqrt(98)*-4).\nAnswer: -159*sqrt(13)\/448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58478752?\nAnswer: 2, 463, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -285, -407, -515, -603, -665, -695, -687, -635?\nAnswer: -533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**3 + 2*r**3 + 3*r**3)*(1 + 0 - 2)*(5*r**2 - 4*r**2 - 3*r**2).\nAnswer: 2*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -7. What is the remainder when m*(-2 + 1) - -1 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4039737 * -0.09.\nAnswer: 363576.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11266 + 11276. Solve f - 13 + 12 = a, 5*f - r = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-8)*1*20\/(-22).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4287 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 4325*c + 3614*c + 10977*c as j + z*c and give z.\nAnswer: 18916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 13 = -5*q - 11, 0 = 4*q + 5*z + 15. Sort 0, -1, q, -6.\nAnswer: -6, q, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67 by 1976878.\nAnswer: -67\/1976878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 87*i - 87*i + 14*i**2 - 10*i**2. Let m(p) = 11*p**2. Give m(f(o)).\nAnswer: 176*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (118 + -39 - (5 + 0 + -9 - -5)) + -9.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9863363 and 98633630?\nAnswer: 98633630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -528.4362 + -0.2?\nAnswer: -528.6362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*o + 3*z + 11 = 0, 2*o = 5*z - 303 + 290 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27233*m + 5*t = 27225*m - 60, 3*m = -5*t - 35 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-3*((sqrt(475) + 0)*5 + -6*(sqrt(171) + -4))**2.\nAnswer: 6048*sqrt(19) + 27126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -179669 or -180853?\nAnswer: -180853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -4.3. Let s = -0.06 - -5.06. Let r = s + -5. What is the closest to -1 in m, -0.4, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 908105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**2 - 4*k + 4*k)*(-k - 3*k + 2*k + (1 - 2 + 2)*(-2 + k + 2) - 9*k + 5*k - 42*k)*(0*k**2 + 2*k**2 - k**2).\nAnswer: 235*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - f + 5 = 0, -2*b - 2*f = -3 - 7. Solve b = -12*h - 15*h + 54 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*r - 8*r - 6*r + 15*r - 22*r.\nAnswer: -35*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)*2)\/sqrt(11))**2 - (sqrt(637) + 0).\nAnswer: -7*sqrt(13) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10318 rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 15*c - 14. Let l be j(14). Suppose l = -9*p - 0*p - 18. Calculate the remainder when 63 is divided by (p\/4 - 2\/4)*-8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 151002 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*t + 22*t - 21*t to j + b*t and give b.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 15) in base 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9930926 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -339874 - -232674. What is c rounded to the nearest 1000?\nAnswer: -107000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 221*s**4 - 5*s + 2*s**3 + 6*s - 110*s**4 - 38*s**2 - 113*s**4 - 2 in the form x + j*s**3 + i*s**4 + c*s + q*s**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233 (base 8) to base 15.\nAnswer: a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 4*f**2 + 2*f + 1. Let t be g(-3). Differentiate 8 + 5 - 6 - 3*i**t + 8*i**4 wrt i.\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2451\/3268)\/(14\/((-14280)\/9))\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*k - 62 = 37. What is the closest to -1 in k, -12, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 1. Let t = -28078 - -28076. Let v(f) = 25*f + 2. What is t*g(u) + v(u)?\nAnswer: 25*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2624672 by 328084.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -7*f + 2. Let g(u) = 3*u - 1. Suppose -72*d = -75*d + 36. Suppose d*k = 53*k + 410. Determine k*g(i) - 4*l(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 15*v - 7*v. Solve 2*j - 6*j = 5*w - 13, 2*j + v*w = 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u - 1. Let a(x) = -2*x**2 + 8*x + 7. Let s(n) = a(n) + 3*q(n). Let o(v) = v**2 - 4*v - 3. Let j(k) = 4*o(k) + 3*s(k). Calculate j(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -10. Suppose -28 + 10 = -f*z. Let l(c) = c**3 - 6*c**2 - c + 2. What is l(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1180.253106 and 1.\nAnswer: 1181.253106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -347*z + 185*z + 210*z.\nAnswer: 48*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6626*-3\nAnswer: -19878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/28)\/(5 + (-60)\/14).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12.9 and -28258900.\nAnswer: -28258912.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 10:25 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 58*j - 59*j + 2*k + 2, 3*j + 5*k + 27 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 143.491 and -0.023.\nAnswer: 143.468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 7)*(1 - -1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 - 2. Suppose 16 + 0 = 4*q. Is x(q) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132727873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -25*m**2 + 22*m + 11. Let o(n) = -5*n**2 + 4*n + 2. Let s(w) = 2*f(w) - 11*o(w). Let h(z) = 39*z**2. What is h(s(q))?\nAnswer: 975*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 2417*g - 2412*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -32*x**3\/3 - 2*x**2 + 101*x - 163. What is the first derivative of n(p) wrt p?\nAnswer: -64*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 + 16)\/(1\/(-3)). Let m = x + 68. Let h(b) = -42*b - 31. What is the remainder when h(-4) is divided by m?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - ((-3 - 3) + 9 - 9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -h + 3. Suppose 6*b = b + h*n + 20, 4 = 3*b - 5*n. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.3 + 0.3. Let o = -3.000045 - i. What is o rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 6*j - 2*j + 5*m, 0 = j + 3*m - 1. What is the hundreds digit of (-274)\/j - (4 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 66*t + 666. What is the least common multiple of y(-10) and 4683?\nAnswer: 9366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -90, 8, 2, -107, -0.3?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 13. Calculate q(17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(2\/7)*k)*k*k*k**10\/k)\/(k\/k**1*k)**(2\/9) assuming k is positive.\nAnswer: k**(598\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -819\/10 - -82. Let v = -179 + 179.1. Which is the closest to v? (a) -1\/4 (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(2\/13))**28)**(-1\/6))**(-38) assuming m is positive.\nAnswer: m**(1064\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113079*z - 35 = 113074*z - 5*p, -z + 17 = 3*p for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -1\/6*m**4 - 1 + 0*m - 39*m**2 + 0*m**3. Let c(g) = -g. Calculate c(h(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.049 minus 180479751?\nAnswer: -180479750.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/((-9)\/(-6)))\/(8\/(-48)). Suppose 0 = 5*a - t*x - 485, -3*a + 304 = x - 6*x. Calculate the smallest common multiple of 24 and a.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-7 - (8 + -2)) - (-4 + -3)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*k - 5 = 268*k + 5*m, -3*m + 11 = 5*k - k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 158294875 to the nearest integer?\nAnswer: 12582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17531396 is divided by 128.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 6*l**2 - 4*l + 3. Let p be u(5). Suppose 0 = 2*c + 5*n - p, c - 16 = 2*n - 3. Suppose -3*t + 0*t + c = 0. Solve t*z = -z + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y = 18*y + 113. Let c = 118 + y. Find the third derivative of -10*f**5 - c*f**5 - 5*f**5 - 31*f**2 wrt f.\nAnswer: -1200*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cwbucb. Give prob of picking 1 c and 3 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 2*d - 12. Let r(m) = -m**2 + m + 1. What is -j(a) + 2*r(a)?\nAnswer: -a**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 34\/14 - (-100)\/(-175).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 293*r**2 - 91*r**2 + 152*r**2 to the form v + t*r**2 + i*r and give t.\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -2.01. Let t = f + -0.99. Is t greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.035 - 0.035. Sort 1\/4, 14, -3\/7, l in descending order.\nAnswer: 14, 1\/4, l, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nzzonozzzn. What is prob of picking 1 o and 2 z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -1. Let z(u) = -u - 1. Let o(d) = n(d) - z(d). Let l be (-2)\/(-10) - 14\/(-5). Let r(w) = -l*w**2 + 0*w**2 + w**2. Calculate o(r(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndqnheh. What is prob of sequence dq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + -3 - 2 - -9. Solve 2*b - f + 1 = -t, -b = 4*f + 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 38\/(-42) + (-22)\/231. Sort n, 0, -17.\nAnswer: -17, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-480*w + 241*w + 248*w + 2)*(-31*w - 69*w + 21*w) to the form h + z*w + m*w**2 and give z.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 3, 7, -71, -2, 8 in ascending order.\nAnswer: -71, -2, 3, 7, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3596 (b) -2\/13 (c) 0.73 (d) 4 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-3)*96\/320\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 168 and 2289.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 282 - 196. Is f a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/3 + 20*r**2\/3 + 61*r\/3 - 130.\nAnswer: (r - 3)*(r + 10)*(r + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from naann. What is prob of sequence annn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 34546 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 87399129, 174798254, 262197379, 349596504, 436995629, 524394754?\n\"Answer: 87399125*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -201002002012010 (base 3) to base 15\nAnswer: -d53e46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011 - -101?\nAnswer: 110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ad when two letters picked without replacement from fadffdfodfdd.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 708 = -252. Suppose -7*k + 2*k + b = 0. Suppose -5*p + 242 = 2*c - k, -2*p + 446 = 3*c. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-3 + (-10)\/(-4)). Suppose x = 2*b - 15, -f*x + 6 = -0*x. Let n(y) = 3*y**2 + 4*y + 2. Let c be n(-2). Solve u - b + c = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.45 or 3260?\nAnswer: -2.45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 27?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/5845 and -13\/40915.\nAnswer: 40915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4 + 127*l**3 - 2698*l**2 - 93600*l + 196992.\nAnswer: -(l - 72)**2*(l - 2)*(l + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 5:51 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -k**6\/15 + 3*k**5\/10 + 7*k**4\/3 - 4*k**3 - 40*k**2 + 7*k - 12. Factor v(n).\nAnswer: -2*(n - 5)*(n - 2)*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10367, 10431, 10495, 10559, 10623, 10687?\nAnswer: 10751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/5)\/(6*(-1)\/(-15))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12112220 (base 3) to base 5.\nAnswer: 112142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h + 6. Let m(g) = 22*g**2. Determine t(m(d)).\nAnswer: 66*d**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8050.2 - 8050. Which is the nearest to -2\/7? (a) 23 (b) l (c) 2\/7 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 231 and 1380159.\nAnswer: 9661113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 502 - 204. Which is greater: 0.2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p**2 - 122 + 5*p**2 + 130 + 16*p. Let y be a(-5). Let g(c) = 12*c - 6. Let s be g(9). What is the greatest common factor of y and s?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13\/5 in 1, -0.3, 0.121?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 11:12 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -15*z**2 + 10*z - 2. Let h(b) = 8*b**2 - 5*b + 1. Calculate -7*h(l) - 4*i(l).\nAnswer: 4*l**2 - 5*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 234335.5 hours?\nAnswer: 843607800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 331610 divided by 5\nAnswer: 66322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a - 32 = -4*u - 18*a, -2*a = -10 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 47, -1, -31, -6\/7, -1\/2, 2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 483*r - 9255 = -134*r for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -1.9. Let g be (-4)\/(-10) - (-195)\/450. What is the nearest to -1 in 4, o, g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**3 + 5164015*q**2 + 139424890*q + 134260880 = 0. What is q?\nAnswer: -1032776, -26, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 3:22 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 4 = -9*b. Suppose t + 0*r - 3 = 4*r, -t = -2*r - b. Suppose -q + 4*q = z + 11, 3*q = -t*z + 3. Solve q*f + 4 + 5 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from jcckcick.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 11*a + 22. Let b = 10 - 1. Let p be t(b). Suppose 3*f + 0*f = 3*n, 0 = 3*n - p*f + 5. Solve 0 = -n*r - 0*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 743 = 6*j - 2749. What is the remainder when j is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 11:53 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -8*g**3 + 241*g**2 - 36*g + 98. Give n(30).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**5 + 47526*g**4 - 154308372*g**3 - 279790219896*g**2 - 558962826048*g = 0.\nAnswer: -1272, -2, 0, 8558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -12*r**2 + 24*r - 8. Let w(f) = -f**2 + 3*f - 1. Let y(n) = s(n) - 8*w(n). Let x(h) = -19*h**2 - 22*h**2 - 18*h**2 + 10*h**2. Calculate x(y(v)).\nAnswer: -784*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3)*g*g\/(g*g*g**(-17)))\/((g\/((g*g\/(g\/g**(-1\/6)))\/g)*g)\/g)**38 assuming g is positive.\nAnswer: g**(-91\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 276\/7 - 856\/21. Which is the biggest value? (a) -2 (b) r (c) 1 (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -0*u + 4*c + 6, c = u - 2. Factor -v**2 + 0*v + 2*v + 4*v**2 - v**u + v - v**3.\nAnswer: -v*(v - 3)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, j: 2}. Give prob of picking 1 j and 3 p.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5183.1 + 3380916306?\nAnswer: 3380911122.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 8\/5 + 12*m**3 - 22\/5*m**2 + 10*m**4 - 24\/5*m = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -12. Let v = -0.11 - 0.89. Is v equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) + 3 + 3.\nAnswer: 6 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4760*d - 1837344. Determine s(386).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i = -4. Solve -2*h + 0*h = 5*u - 6, -2*h - i = u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -588*b - 532*b + 2315*b - 601*b - 587*b.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28111269077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 14. Let k be (n - 42\/(-10)) + 2\/(-10). Calculate the common denominator of (-376)\/(-96)*(2 + -3 + k) and 46\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 8. Let v = -8 - d. Let y = v + 7\/3. Which is the nearest to -0.1? (a) 3 (b) y (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5380357500 rounded to the nearest 1000000?\nAnswer: -5380000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuhhxxhuhxhx. What is prob of sequence xuxx?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17386763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/13)\/(2\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -641 - 482*m**3 + 1175 + 158 wrt m?\nAnswer: -1446*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 - -177188?\nAnswer: 177179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 177 - 155. Suppose 4618 = -20*p + l*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 6*f + 6. Let y be a(-5). Suppose -4*w - y - 3 = 4*i, -2*w - 8 = -i. What is the smallest common multiple of 1 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.9 + -3. What is the nearest to f in -5, -1\/7, -4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 7*t**2 + 7*t + 4. Let o be d(-6). Let k = 2 + o. Suppose 4*p - 2*p - 4 = 0. Solve k*s = p*s - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, s: 1, w: 1, d: 6}. What is prob of sequence ad?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (0 + -1 - (9 + -8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4811168857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/3569 and -8.\nAnswer: 3569","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3734730.\nAnswer: 2, 3, 5, 17, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -25287, -50576, -75871, -101172?\n\"Answer: -3*q**2 - 25280*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.770951751 to 2 decimal places.\nAnswer: -0.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1708)\/(-549)*(-27)\/6.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 332 and -0.5.\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8067946mg to kilograms.\nAnswer: 0.0000008067946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l - 10 + 122. Let j = -1 + -9. Let n = l + j. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -682\/491 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48929 is divided by 134?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -m**7\/840 + m**6\/60 + m**5\/15 - 7*m**4\/24 - m**3\/3 + 1. Let f(c) be the third derivative of g(c). Does 15 divide f(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5 = 3*v + 2*q, 3*v + 4 = 5*q. Let c be 34\/3*(0 - v). Let h = c - 30. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 - 41.000016. What is n rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1761234999480 + 0.2?\nAnswer: 1761234999480.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -6, 3, -44, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -59, -60, -61, -62?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 13. Suppose 24*v = 21*v - x. Let i(a) = a + 13. Let n(p) = -p. Let b(w) = v*i(w) - 6*n(w). What is the first derivative of b(r) wrt r?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 63?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.5 - 2. Let l = 0.03 + 7.27. Let n = -2.3 + l. Which is the closest to -1? (a) y (b) n (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*q + 32 = 0, -5*k = -8*q + 3*q - 75. Solve -k*t + 10 + 3 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35515 + 0.1.\nAnswer: 35515.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -819.5281 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5246135113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1\/3*-1931)\/(201\/(-1809))?\nAnswer: 3, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, 6, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -45, -79, -119?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y. Let j(x) = 3519*x. Determine j(q(t)).\nAnswer: 3519*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5200.799 tonnes?\nAnswer: 5200799000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 683 + -386. Calculate the remainder when l is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4236472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7574854 - -0.2.\nAnswer: -7574853.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 6 - 3*m**3 - 9*m - 15\/4*m**4 + 3*m**2. Let b(c) = -7*c**3 - 4*c**2 + 3*c - 4. Let d(z) = 9*b(z) - 4*i(z). Solve d(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -2\/23, 595, -2\/3 in descending order.\nAnswer: 595, 2\/3, -2\/23, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 391.1067.\nAnswer: 78.22134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -3) + 6 - (-1 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1164 + 306 - 378 = -84*h for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 788388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -5*d**4\/8 + 89*d**3\/3 - 103*d**2\/4 - 35*d - 1321. Factor i(l).\nAnswer: -(l - 35)*(l - 1)*(5*l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -2. Let j = 4.9 - f. Suppose 0*q + 6 = 2*q + 5*w, 2*q - 5*w = 6. What is the smallest value in q, j, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 2*j + 0.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 429745 and 20191?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*a - 87 + 87 - 4*a**3 to the form k*a + v*a**2 + d + m*a**3 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 12, -5, 0.5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -155956, -311921, -467890, -623863, -779840, -935821?\n\"Answer: -2*m**2 - 155959*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -95906 - -152427. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-8)*p\/p**38*(p\/(p\/(p\/(p\/p**(-36))))*p)\/(p**(-22)\/p) assuming p is positive.\nAnswer: p**(-57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -211 (b) -3 (c) 10 (d) -4 (e) 4 (f) 6 (g) 3\/31\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 a factor of 62903117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c**3 + 5. Let g(u) = 7*u**3 + 6. Let f = 1053 - 1058. Calculate f*g(a) + 6*d(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138*-2.\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 233 (base 7) to base 16\nAnswer: 7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of 25\/2*n**4 - 1\/2*n**5 + 1\/120*n**6 + 0*n - 20*n**2 - 500\/3*n**3 + 0. Factor g(c).\nAnswer: (c - 10)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 times -0.3?\nAnswer: -9.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 110?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - 590?\nAnswer: -588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 8, -5*t + 0*c = 5*c - 45. Let d = 13 - 19. Let w be (2\/d)\/((-12)\/288). Solve -6 = w*g - t*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 1771 - 12029. Let l be 23823\/k + (1 - -2). Let w = 3\/460 + l. Calculate the common denominator of -39\/14 and w.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -8*q - 7. Let n be h(-11). Calculate the highest common factor of 54 and n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 33*h**2 + 113*h - 49. Determine j(29).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 30 = -5*j, -2*j + 0*j + 26 = -4*u. Let q(k) = -j*k**2 - 16*k**3 + 3 - 4 + 4*k**2. Let w be q(-1). Solve -3*z + w = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 9:03 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**3 + 13*p**2 - 22*p - 85. What is c(4)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 203 and 37.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1804200 divided by -30070?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a - 8. Let n be f(5). Suppose -1 - n = 4*q, -2*r + 3*q + 32 = 0. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - 0. Let n(i) = 2*i**2 + 5*i. Let k(f) = -f**2 - 3*f. Suppose 4*c - 3*c = -5. Determine c*k(j) + u*n(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.5109 and 807185945.\nAnswer: 807185946.5109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 174 + -100. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 748, -5, -27, 3, -7, -8.\nAnswer: -27, -8, -7, -5, -1, 3, 748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1203 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23916 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r**2 + 2*r**3 - 3*r**2)*(-2 + 2 - 3)*(21 - 2 - 1) to u*r**3 + t*r + o + h*r**2 and give u.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 7*w**5\/30 - w**3\/3 - 2*w**2. Is 9 a factor of d(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 73 = 5*p, -2*r - 7*p + 39 = -4*p for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 4)*(-6*i + 8*i - 13*i)*(5*i - 2*i + 1 - i) as w + o*i + v*i**2 and give v.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72421*m**6 + 52*m**2 - 229*m + 2 wrt m.\nAnswer: -8690520*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f**2 + 1213*f + 62149. Determine a(-46).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 193252248 a multiple of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -47566 (base 9) to base 6\nAnswer: -403140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 4*f - 2\/3*f**3 + f**2 + 11. Determine g(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-171)\/63*(-280)\/240*18?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 10:29 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 485394 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000011 (base 3) to base 9.\nAnswer: 10004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -14*b - 15. Let l be y(-2). Solve -2*u = -r - 11, -l = r - 3*u + 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/314941 and -13\/2204587.\nAnswer: 2204587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, n: 2, x: 1, a: 4, s: 2}. Give prob of sequence axs.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9769, 9505, 9243, 8983, 8725, 8469?\n\"Answer: g**2 - 267*g + 10035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - (-149794)\/20) + 0. Let k = o + -7480. Find the common denominator of k and (1\/(-6))\/((-6)\/(-230)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 140 - 19 - 39*a**2 - 64 + 10*a - 56 as w + t*a**2 + l*a and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b + 1. Let r be i(-2). Let z = 3 - 1. Suppose -r = -c + z. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - -49 - 0) + -27?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 + 20*s**2 - 43*s + 22.\nAnswer: (s - 1)**2*(s + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/18 - -4\/9. Let w be (-2872)\/1795*30\/(-32). What is the nearest to x in 0.2, w, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/((-3)\/(15\/(-25))). What is the nearest to -5 in k, -1\/5, 0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 12*u = -33. Let g(q) be the first derivative of -4 - 1\/6*q**2 - 2\/3*q + 1\/9*q**u. Suppose g(n) = 0. Calculate n.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 11. Let b = -9 + k. What is the smallest common multiple of (-2)\/b - 118\/(-6) and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + k + 1 + 3*k)*(-k - 5*k**4 + k).\nAnswer: -20*k**5 - 5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23392 by 32.\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8532603 to the nearest integer?\nAnswer: 2921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.7 - 1.3. Let t be (-3 - (4 + -5))\/(135 - 148). Which is the closest to 1\/4? (a) t (b) 1\/3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114641162 and 186?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**3 - 5*u**2 + 5*u - 6. Let p be b(4). Let t = p + -46. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aavaraaamaaar. What is prob of picking 1 a, 2 r, and 1 m?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 1392?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7067 + 18550 - 114833 = -13*n. Calculate the greatest common divisor of n and 636.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 36) + -26 + 29 + -4?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*21\/((-504)\/52).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -15*b + 3. Suppose 14 - 12 = 2*i. Let t(g) = 2 - i + 1 - 8*g. Give 4*q(y) - 7*t(y).\nAnswer: -4*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1747070 is divided by 40.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -112 - -23. Let b = -58385.959 + 58297. Let p = b - g. What is p rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15093147, -30186297, -45279447, -60372597?\nAnswer: -75465747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -a**6\/240 - a**4\/8 - 3*a**2. Let d(p) be the second derivative of y(p). Determine d(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 11592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**5 - 3*j**5 - j**5 + 9*j**5 - 8*j**5 + 5*j**5 + (3*j - 4*j + 3*j)*(j**4 + 0*j**4 + j**4) + 0*j**5 + 0*j**5 + j**5.\nAnswer: 9*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -4, 40 in decreasing order.\nAnswer: 40, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 + 11 + 58)*(44 + 4*b**4 - 7*b**4 - 65).\nAnswer: -300*b**4 - 2100","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 1. Let s be z(5). Let m = 420 - 260. Suppose g = -s*g + m. Solve -4*p + 4*o - g = 0, -5*p + 2*o = 7*o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7301 divided by -6\nAnswer: 7301\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2 - -1) + 3)*11\/143?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 935837805 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.461 and -70.5.\nAnswer: -70.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -34*p**2 - 633*p - 5314. Let z(j) = -18*j**2 - 317*j - 2658. Let b(q) = 4*u(q) - 7*z(q). Differentiate b(k) wrt k.\nAnswer: -20*k - 313","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}