diff --git "a/data/dm_maths/full_data/2390_11255.jsonl" "b/data/dm_maths/full_data/2390_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2390_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the third biggest value in 0, -5497, -2\/13, -486?\nAnswer: -486","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 608.80982 to the nearest integer.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*t = 70*t + 43*t - 1320 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 41? (a) -0.05 (b) -1743 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -8*l**2 - 69*l. Let h(q) = -9*q**2 - 69*q. Give -6*h(g) + 7*x(g).\nAnswer: -2*g**2 - 69*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -1271?\nAnswer: -126e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -h - 35. What is the hundreds digit of (-3)\/((-91)\/(-530) - (-7)\/h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14286799*r**2 + 9097354 wrt r?\nAnswer: 28573598*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 3*q + 5. Let j(u) be the third derivative of u**5\/60 - u**4\/24 + 6*u**2. Let n(f) = 2*j(f) + x(f). What is the units digit of n(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 7913 = -2705. What are the prime factors of b?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 104*v**2 - 3148*v + 197610. Calculate x(93).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5*g - 26, -2*g + 8 + 0 = 5*f. Let m(h) = 28*h**2 + 2*h - 59. List the prime factors of m(g).\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.6 + -2. Let s = -75 - -147\/2. Let n = -572\/9 + 64. Which is the smallest value? (a) n (b) s (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 + -1 - -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -738295 - 24?\nAnswer: -7382b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 434665 and 956263?\nAnswer: 4781315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -22157 greater than -22180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 7*t**2 + 4*t + 5. Let g be x(-6). Let l = -331\/6 - g. What is the nearest to 1 in 1\/4, l, 0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4\/7)*l**(-1\/8)*l**(-1\/9)*((l*l**0)\/l)\/l*l)**(-2\/3) assuming l is positive.\nAnswer: l**(407\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3529260, 3529391, 3529520, 3529647, 3529772?\n\"Answer: -s**2 + 134*s + 3529127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -32. Suppose -t = -3*p + 5*u - 4, 5*u - 15 = -p. Suppose -i - 10 = -2*w - 3*i, p*i = -4*w + 17. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 + -21. Let w(a) = -2*a**2 + 18*a - 11. Let m be w(r). Solve m*q = -2 - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**5\/5 + 103*c**4 - 3663*c**3\/5 - 4583*c**2\/5 + 11986*c - 10440 = 0. What is c?\nAnswer: -522, -4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 6*f - 3*f. Let k be 1*(f + (-6)\/3). Differentiate -75*t**3 - 22 + 15*t**k + 23*t**3 with respect to t.\nAnswer: -111*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(2\/(-3))*6407\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.66 - -0.26. Let k = 0.65 + f. Round k to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 2*x - 7*x - 25, 10 = -5*h - 2*x. Let q = -14 + 6. Let r = -9 - q. Which is bigger: h or r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134, 250, 352, 440?\nAnswer: 514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = 39 - 105. Suppose s*g = -2*g + 3094. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312 is divided by 1*6\/(-57) - (-118932)\/1007.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 9. Let v(b) = 2*b**2 + b - 16. Suppose 5*l + 5 = 2*x, 28*l - 2*x = 30*l + 16. Let g be v(l). Is g >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23835 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*p - 5*f - 7, 0 = 3*f. Is (-62 + 0)*p\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -3 + (0 - -8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 2. Suppose 0 = -z*n + 3*n - 81. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -4*m**2 - 760*m + 17724 = 0.\nAnswer: -211, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 150*p - 3*p**2 - 150*p. Suppose -54*d - 18 = -56*d. Let x(g) = -6*g**2 - 3. Let n(b) = -7*b**2 - 2. Let o(z) = d*n(z) - 6*x(z). Give o(i(t)).\nAnswer: -243*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -49 and -1238.\nAnswer: -1287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 - 4*j**2 + 2*j**2)*(-2*j - 1 + 1)*(12 + 15 - 17).\nAnswer: 40*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -16. What is the remainder when 15 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 15374 = 8*m + 5*s, -m + s + 5126 = 0. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22.6 - -25.9. Let s = u - 2.3. What is the closest to s in -0.1, 4, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qukqukbb. What is prob of sequence qkk?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m**3 - 4*m**2 + m - 68. Let c(v) = -2*v**3 + 2*v**2 + 34. What is -5*c(s) - 2*f(s)?\nAnswer: 2*s**3 - 2*s**2 - 2*s - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1433539.\nAnswer: 1433539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 3. Is (-1 - t)\/(2\/(-102)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/4046910 and -73\/1470.\nAnswer: 4046910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (25\/(-15))\/((-80)\/680 - 709\/(-6171)). What is the greatest common divisor of q and 242?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**(1\/9)))**20)**(-46) assuming z is positive.\nAnswer: z**(-920\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 20 + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n\/n**(-13))\/n))\/n*n*(n\/n**(-26))\/n*(n**(-17\/2))**(-31))**(-1\/8) assuming n is positive.\nAnswer: n**(-555\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122 - 2*q - 122.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (9 - 3 - 22) - -21?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(98)*3)\/sqrt(2))\/sqrt(7)*-5 - ((sqrt(84) + -1*sqrt(84))*-5)\/(sqrt(108)*1))**2 + 5.\nAnswer: 1580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1971 and 1485.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -60661 and -60661 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -636 and -0.591?\nAnswer: 375.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/4 - 101*a**2\/4 + 1575*a\/2.\nAnswer: -a*(a - 25)*(a + 126)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -1 - (8 + -1)\/1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -w + 5*l + 87, -5*w + 4*l = -145. Let n = w - 26. Let j = -2675 + 2680. Solve -5*t + t = -n*s + 29, 5*s = -4*t - j for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-49)\/(-17) - 3\/1. Which is the third smallest value? (a) v (b) 1\/3 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 683119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2 + 6780*z - 54108. What is f(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1227\/2135 - 1\/305. Factor -12\/7*x**4 + 0 + 0*x + r*x**2 - 8\/7*x**3.\nAnswer: -4*x**2*(x + 1)*(3*x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 7*f. Let y(a) = 17*a - 6. Let t(p) = 4*o(p) - y(p). Give t(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*t - t + x - 3, -x = -1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 4*j + 1. Let u(o) = -798*o**2 - 1 - 801*o**2 + 4*o - 800*o**2 + 2397*o**2. Determine -2*u(v) - 3*y(v).\nAnswer: v**2 + 4*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166 a factor of 1563606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 c when two letters picked without replacement from llclggegllgclgexc?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 1. Let w = -33 + 37. Let y(t) = -6 + 6 + w*t + 5 + 4*t. Determine -5*p(z) + y(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 5:13 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.044 - -4.956. Let q = x - 5.072. Round q to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21*q**2 - 6*q - 367?\nAnswer: 42*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1316)\/47)\/(8\/(-96)*-24).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -99743, -99696, -99649, -99602, -99555, -99508?\n\"Answer: 47*o - 99790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163*v - 149*v = -140. Let q be 16\/24 - v\/(-24). Which is the second biggest value? (a) q (b) 29 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-618)\/(-15)*-5)\/(394\/197)?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pcp when three letters picked without replacement from psspspcppspppss.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 11:39 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 42 = 2*h, 5*h + i = -0 + 50. Solve h - 26 = 5*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6421760 by -401360.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15839924?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 27 = 5*s, -3*b - b + 24 = 4*s. Let k(o) = 3 + 3 + 5*o**2 - s + o. Is k(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30736 = -1446*v + 18428 for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 46 (base 9) to base 16\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + c = 1, -2*c + 10 = u - 3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 64*t - 432. Give h(6).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15369 by 3.\nAnswer: 5123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -165 - -165. Solve -7*q - 1 + 8 = h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 0 - 4\/3*z**3 - 40*z + 1\/2*z**2. Suppose 3*p - 8 = -0*p + 5*t, 5*p + 2*t = 3. Determine x(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.41117 + 0.04917. What is h rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1585134165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i + 20*i + 7 = 72 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -63 + 70 - (0 - (-11 - 2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-2 - -5) - (7 + -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -l**4\/4 - 2*l**3 + 7*l**2\/2 + 2*l + 1. Let u be y(-7). What is the units digit of (20\/(-6))\/(u\/(-9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3844972 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -70*s. Let c(k) = -24*k**2 + 3*k. What is c(p(l))?\nAnswer: -117600*l**2 - 210*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2757, -5359, -7931, -10473, -12985, -15467, -17919?\nAnswer: -20341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(121) - (sqrt(121) + 5*sqrt(121)))*3)\/(sqrt(11) + (6*sqrt(88))\/sqrt(8)) + 4)**2.\nAnswer: -120*sqrt(11)\/7 + 3259\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - h + 0*h)*(38 - 38 - 7*h**2)*(-24*h - 8 + 5 + 0)*(-h + 0*h + 0*h)*(-1 + 3 - 4).\nAnswer: -672*h**5 - 84*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1302022 - -203?\nAnswer: 1302230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12561968?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.35 - 0.35. Let r be ((-6)\/(-15))\/(23\/(-15)). Let d = 76\/115 + r. What is the nearest to d in f, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 10 - (48 - 26).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 20 = -0*n, -5*r + n = -10. Let m(d) be the second derivative of -d**4\/6 - d**3\/3 + 3*d**2\/2 - d - 163. Determine m(r).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200221121 (base 3) to base 14.\nAnswer: -5069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -117 - -125. Let y(v) = -v. Let s(j) = -5*j + 7. Let a(w) = -s(w) - 4*y(w). Does 23 divide a(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -4) + 6 - (9 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 229*o**4*v**3 - 124*o**4*v - 20*o*v**3 + o*v - 4*v**3 - 2*v wrt o.\nAnswer: 2748*o**2*v**3 - 1488*o**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 14*i**4 - 74*i**3 - 344*i**2 + 1784*i - 480 = 0.\nAnswer: -5, 2\/7, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*i - 19 = 0, -n - 2*n - 3*i = 6. Suppose -5*q = -n*q - 68. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f**2. Let s(k) = -92*k. Determine s(i(z)).\nAnswer: 460*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3))\/2*(-797)\/(-4782)*(-18)\/21.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4 + 1 + p**2 + 3*p + 5*p - 2. What is the remainder when w(-10) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2091.264 to the nearest 10.\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -7 + (1 - -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-90)\/(-21) + (-6)\/21. What are the prime factors of (-29)\/(0 - v\/8)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, -75, -152, -193, -186, -119, 20, 243?\nAnswer: 562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 822?\nAnswer: 9042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r + 0*r + r + 1. Let l be g(-3). Let s = l - 0. Solve 0*t + 2*t + 4 = 0, s*b - 2*t - 20 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, -80, -76, -70, -62, -52?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 5*a - a - 8, 2*a - 4 = 0. Is w - 435\/3*-1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventy-four thirds of a hour?\nAnswer: 88800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jgjs when four letters picked without replacement from {s: 6, j: 5, n: 4, o: 1, g: 4}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/(-30)*(-1450965)\/(-48)*2. Let f = -22170 + i. Calculate the common denominator of -109\/80 and f.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 - -2 - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q. List the prime factors of f(5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -q**3\/6 - 19*q**2\/2 + 6*q. Let f be a(-16). Let y be 1\/((9\/15)\/f). Which is smaller: y or -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 1. Suppose 0 = 3*w + 4*v - 17, v - 3*v + 47 = 5*w. Calculate the smallest common multiple of w and r.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 11*w**2 - 16*w - 19. Calculate x(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 - 3*v + 7. Let w(b) = -3*b**2 - 3*b + 8. Let g(s) = -4*a(s) + 3*w(s). What is g(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 995 = -4*s - 10094, 0 = 2*c + 3*s - 3658. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -103*1*1\/(-1). Let q = -67 + k. Let o be ((-2)\/(-4))\/((-4 - -13)\/q). Solve -6 - 4 = o*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 3 - 18. Suppose p + x*q = 0, -q + 5*q = -3*p - 25. Sort p, -1, -2 in decreasing order.\nAnswer: -1, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 469 * -433.95.\nAnswer: -203522.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -319.6 - -320. What is the closest to 2\/7 in s, 27, 0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 675 = -9*z. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*1 - sqrt(132))*-2)\/(sqrt(12) + (sqrt(12)*-2 - sqrt(12))*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**7\/42 - 3*d**3\/2 + 4*d**2 - 4. Let f(v) be the second derivative of c(v). What is the derivative of f(l) wrt l?\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**3 - k**2 - k - 2. Let a(t) be the third derivative of -t**6\/24 + t**5\/20 + t**4\/6 + 7*t**3\/6 - 7*t**2. What is -2*a(y) - 7*b(y)?\nAnswer: -4*y**3 + y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 354\/(-36) - (-2)\/(-12). Let v be (24 + k)*(-2)\/4. What is the remainder when 4 is divided by -1 - v - 15\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -85*c**2*x + 72*c*x + 2*c + 2*x wrt c?\nAnswer: -170*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**3 - 16*b**2 + 24*b - 5. Is h(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6652001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-638)\/(-66) + -1 + (-8)\/(-6). Suppose m*t - 1233 = -213. What is the smallest common multiple of t and 6?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 1793*j. Let x(d) = -63*d**2. Determine x(t(o)).\nAnswer: -202535487*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -62*t - 245. Let s be k(-4). Let q be ((-3)\/9)\/(1\/2). Which is the closest to -2\/3? (a) -5 (b) s (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 8*i**2. Let a(m) = 1 - 2*m - 3 + 2. Give o(a(n)).\nAnswer: 32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -215520 (base 8) to base 4\nAnswer: -101231100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 284 + -311. Let p be (12\/a*1)\/((-18)\/162). Solve p*t - 10 = -2*w, -2*t - 2*t - 5 = -3*w for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/3 - 100046*l\/3 + 2502300529\/3.\nAnswer: (l - 50023)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 94645 (b) 5 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167763613 is divided by 152?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - 7\/((-14)\/30). Suppose -14 = 5*o + m. Let t be o\/(-4)*(-32)\/(-12). Solve -t = 3*b + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c**2 + 7*c**2 + 11*c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223461 (base 7) to base 9.\nAnswer: 60383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -178 + 290. Calculate the highest common factor of n and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -220971 by 1009.\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-19)\/(-133) - ((-6)\/(-14))\/3. Solve 0 = -m - 5*f - 15, z = -3*m + f - 9 - 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zttttttztztt.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 10:02 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -10. Suppose 5 = t*m - 3. Let i = m - -75. List the prime factors of i.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -8*t**3 + 4*t**2 + 9*t + 14. List the prime factors of n(-4).\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14819 is divided by 436?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39830*d**4*j**3 - 70*d*j + j**3 + 6 wrt d?\nAnswer: -477960*d**2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 122, 5, 385, -2 in increasing order.\nAnswer: -2, 0, 1, 5, 122, 385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 674, 1350, 2026, 2702, 3378, 4054?\nAnswer: 4730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - 102\/9)*-3?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72*n**2 - 47*n + 23*n + 24*n + 553*n**2 to x*n**2 + m + q*n and give x.\nAnswer: 481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -14, -0.09, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -226584 (base 10) to base 8\nAnswer: -672430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 224 - 220. Suppose -5*k - 65 - 355 = 0. Let s be (-14)\/4*u\/k. Put s, -3, 2, 1\/3 in decreasing order.\nAnswer: 2, 1\/3, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 28b8?\nAnswer: 28b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -3 - ((9 - 4) + -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12229800 divided by -17\nAnswer: -719400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 4*w - 15 = -2*w, 0 = -4*l - 3*w + 35 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2 = -0*x. Let j(n) = -n**3 + n**2 + 3*n - 2. Let g be j(x). Suppose g = 2*r - 4*r + 20. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53\/2 + 267\/10. What is the third smallest value in t, -5, -1\/9, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 275 and 79915.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d + 2*d - d)*(2 - d**2 - 2) + (-6*d**2 + 3*d**2 + 2*d**2)*(-1783*d - 1043*d + 2069*d) to the form x*d**3 + g*d + b + t*d**2 and give x.\nAnswer: 758","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4 + 26. Suppose j = 5*a - 0. Let l = a - 4. Solve -y + l*y = 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/(-80)*(-8)\/(-36)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 11*n**5\/10 + 5*n**4\/3 - 9*n. What is the third derivative of b(d) wrt d?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 n when four letters picked without replacement from vnnnvnvnnnn?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 268 + -16. What are the prime factors of b?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 1. Let v = -9 + 15. Differentiate -7 + v*b**2 + 4 - z*b**2 with respect to b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 = 6*p - 7. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -407*a**7\/21 - a**5\/10 + a**4\/6 + 29*a**3\/3 - 3*a + 43. What is the third derivative of w(i) wrt i?\nAnswer: -48840*i**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 5 - (-14 + 20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/7, 549, -3, 0.3, 1, -4, 2\/9?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (88 + -33 - 13) + -132 - -43?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 10 = -5*b. Suppose 3*o = -2*f + 19, 3*o = 8*o - 3*f. Suppose -o*x = -7*x. Sort b, 5, x in descending order.\nAnswer: 5, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (40\/(-30))\/((-8)\/18). Suppose -3*c + 7*c = 0. Let x be (-4)\/(-4)*(c + 5). Solve -x*i - s = -i - 2, 2 = -4*i - g*s for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c174d (base 15) to base 6.\nAnswer: 45223214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**2 - 2*s - 1. Let t be v(-1). Suppose 0 = j + 2*m - 4 - 0, -j + 2*m = 0. Put -4, t, j in ascending order.\nAnswer: -4, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -72\/679315?\nAnswer: -72\/679315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 22 - 10 - 8*t - 3 + t**2. Suppose z + 4*z = 0. Suppose -3*n = -a - 2*n + 6, z = -5*a - 2*n + 30. Calculate g(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -8*y**2 - 62 + 62. Let x be (-2)\/3 - (-6)\/(-18). Determine p(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 2*i = -8, -3 = 4*i + 13 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -1. Let o(d) = d**3 - d - 12. Let x be o(0). Let i = -16 - x. Let z(s) = -s**2 - 4*s. Let y(c) = -c**2 - 5*c. Determine b*z(v) + i*y(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence atc when three letters picked without replacement from {v: 1, a: 1, w: 2, t: 1, c: 1, z: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14557, 14564, 14573, 14584, 14597, 14612, 14629?\n\"Answer: z**2 + 4*z + 14552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1324 + -0.1424. Let f = -0.6 - -0.2. What is the biggest value in 5, o, -5, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 2453*q**3 - 34.\nAnswer: -2453*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2, 0.058, 1.3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 7:41 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/36 + (-3728)\/(-9). Let v = 106 + s. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(48)*-1 - (1*sqrt(9)\/sqrt(3) - (0 + sqrt(48)))) + 1)**2.\nAnswer: -10*sqrt(3) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8737*n = -9391*n - 5232 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23081, 20808, 18547, 16304, 14085, 11896?\nAnswer: 9743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 262 - 230. Suppose -34*h + i = -512. Let w = -7 + 15. What is the smallest common multiple of w and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 149142 and 6008292.\nAnswer: 42058044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -c**5\/15 - 13*c**4\/12 + 2*c**3\/3 - 2*c**2 + c + 66. Give z(-5).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28780339.71 times -2\nAnswer: 57560679.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.345 times -13142?\nAnswer: -17675.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + -3 + 4)**2 - 6*sqrt(448).\nAnswer: -46*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krzkphn. Give prob of picking 1 z and 1 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161 divided by -7.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -32161555 (base 7) in base 8?\nAnswer: -12343150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129557, -129980, -130399, -130814, -131225, -131632, -132035?\nAnswer: -132434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 + -0.8. Let u = 0.01 - -0.39. Let o(m) = -m**2 - 6*m - 6. Let p be o(-5). What is the nearest to p in -1\/3, t, u?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24.400127 - 24.4. What is q rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -233 + 23. What is the lowest common multiple of 33 and m?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -q**7\/1680 - q**6\/480 + q**5\/40 - q**4\/12 + 6*q**2. Let c(h) be the second derivative of r(h). Factor c(a).\nAnswer: -3*(a - 1)*(a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 28 = -0*q - 4*q, 3*g + 9 = -3*q. Suppose -5*s - 5*y + 10 = 0, 0 = -3*s + q*s - 2*y - 1. Solve -c - s = -2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwwwwww. Give prob of sequence wwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j + 4*j**4 - 2*j**2 + 2*j**3 + 5*j + 5*j**4 - 4*j**4 in the form l + q*j + h*j**2 + t*j**4 + s*j**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 13*i**2 + 18 - 21 in the form f + t*i**2 + k*i and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -3*h - 29 + 8, -4*h = -4*l. Sort l, -1, 0.\nAnswer: l, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*j + 41*j - 14*j - 2 - 5*j + j - 2*j + (-2*j - 3*j + 3*j)*(3 + 4 - 5) + j + 3*j - 3*j + 2 + 2*j - 2 + (-3 + 1 + 0)*(0*j - 3*j + j).\nAnswer: 7*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 562560 to the power of 1\/2, to the nearest integer?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + r - 5. Let o be a(-4). Factor v + 5*v**2 - o + 3*v**3 + 6 - 2*v + 2*v.\nAnswer: (v + 1)**2*(3*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1077\/2 + 536. What is the nearest to r in -0.5, 0.4, 47?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 275*a**2 + 37*a + 23. Is y(5) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 3*i**3\/8 + 3639*i**2\/8 + 148869*i\/8 + 1549233\/8 = 0.\nAnswer: -1171, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -2*t + 7, t = -2974*n + 2979*n + 10 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 17736*z + 10978579. Calculate n(-619).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -1\/3*q**3 - 5\/2*q**2 - 11 + 4*q. Let y be d(-5). Solve -5*b = -6*b - y*a, 2*b = 5*a for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303384 is divided by 16838?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.85 * -253.\nAnswer: 2745.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76531*f**3 + 153064*f**3 - 76519*f**3.\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 263 + -284 + 1 + 39 + -165.\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 21, 35, 65, 117?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2143459947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b + 14. Let a(h) = -h**3 - 9*h**2 - 7*h + 4. Let x be a(-8). Let o be c(x). List the prime factors of (o\/(-4))\/(5\/530).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2032, 2006, 1980?\nAnswer: 1954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.3 in 11\/4, 1, 2170, -2\/23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6078.\nAnswer: 2, 3, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -25, 1, -0.141?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -640, -717, -804, -895, -984, -1065, -1132?\nAnswer: -1179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 3*a**4\/7 + 3690*a**3\/7 - 180984*a**2\/7 - 1185210*a\/7 - 1827387\/7 = 0.\nAnswer: -1277, -3, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 2*r - 1 = 0, -37*h + 40*h - 21 + 0 = 2*r for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67 (base 10) to base 3.\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 q when two letters picked without replacement from {q: 4, w: 1, f: 2, p: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3 + 6*s - 2*s**3 - 2 - 5*s - s**2 - 2*s. Let x be k(1). Which is the third smallest value? (a) 1\/10 (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*o**3 - 1 + 15*o**3 - 7 in the form y*o + x + n*o**2 + v*o**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s - 113 = -2*b, -37*b = -50*b + 2*s + 291 + 383 for b.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) - sqrt(572)\/sqrt(11))\/sqrt(4) + (sqrt(13) - (sqrt(832) + 1)**2).\nAnswer: -833 - 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*z + 571 - 115. What is the smallest common multiple of z and 9260?\nAnswer: 27780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 720065 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 78627.3 times 0.01?\nAnswer: 786.273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3045*z - 6085*z + 3037*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -7 - ((-4 - -6) + -6).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 422920 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1897 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/623196 and 101\/4985568.\nAnswer: 4985568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 30 = 5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**2 - 91 + 91 + (-1 + 1 + 2*m)*(-m - m + 0*m) - 2 + 2 + m**2)*(2 + 2*m - 2).\nAnswer: -16*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(7) - sqrt(63)))*-3)**2.\nAnswer: -108*sqrt(7) + 333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/8 + 1\/24. Which is the second smallest value? (a) v (b) 0.2 (c) 2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 152 + -818807.03.\nAnswer: -818655.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**2*i))\/i*i*i)\/i**(-11)*i**(-5)*i*((i\/(i*i**(-4)*i))\/i)\/i*i assuming i is positive.\nAnswer: i**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (45 - 48)*(11 - 16 - 34\/(-6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -10*l - 2. What is x(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4091?\nAnswer: 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (203\/(-9135))\/((-1)\/10)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.6602 to two dps.\nAnswer: 1.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (9 - (-2 + 7 + -4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -35*o + 229. Determine s(11).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 324096 divided by 384\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - p**2 - 29 - 15 to the form t*p + c + u*p**2 and give c.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 385, 774, 1163, 1552?\nAnswer: 1941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 30 = 0, 5*g = -103*w + 98*w + 28915. Is w a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 367, 1845, 4309, 7759, 12195, 17617, 24025?\nAnswer: 31419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1453*c**2*h**3 - 1735*c**2*h**2 - c*h**3 - c*h**2 wrt h?\nAnswer: 8718*c**2 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 0*h**2 - 2 + 6 + 20*h - 27*h + h**2. What is t(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064956794 a multiple of 1014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 328*t**4*y - 33705*t**3*y + 15*y - 4949480 wrt t?\nAnswer: 1312*t**3*y - 101115*t**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 16. Let o(q) = -7 - 3 + q + j. Let i(z) = -6*z. Calculate i(o(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z + 2*y - 2228 + 2230, y = 5*z - 19 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1644560 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: Let d = -12 + -6. Let k = d + 23. Suppose -397 = -k*z - 2*m, 2*m - 69 = -z - m. Calculate the greatest common factor of 9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(21)\/(2*sqrt(7))))**2 + (sqrt(22)\/(-1*sqrt(162)))**2.\nAnswer: 3575\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -1894 - 2*i + 1894. Let j(k) = 100*k + 9. Let a be (6 + 0)*(-3)\/2. Let x(p) = 25*p + 2. Let m(r) = a*x(r) + 2*j(r). Determine u(m(s)).\nAnswer: 50*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 5*a**2 + a + 3. Let q be f(-3). Let t be ((-1)\/5 - 333\/45)*5. Let l = q + t. Solve -4*k = -2*x - x + l, 0 = -3*k + 4*x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 446 divide 183264968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55)\/(-22)*(-16)\/(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - ((4 - (9 - -6)) + (28 - 9))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**2 - 3*m + 3. Let k(f) = f**2 + f - 1. Let p(a) = -3*k(a) - o(a). Let z(u) = 3*u**2. Calculate p(z(n)).\nAnswer: -9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 1145070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141251, -141257, -141263, -141269, -141275, -141281?\nAnswer: -141287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 35 = k, 3*k + 576*u = 571*u + 40 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 104*t - 100. Determine q(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 162 (base 7) to base 9\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2487772590 to the power of 1\/2, to the nearest integer?\nAnswer: 49878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 42.47626 centuries?\nAnswer: 424.7626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3151088489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001233 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 7*g + 6*g - 347 = 0, -4*h = -5*g - 691. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 + 51. Suppose -5*v - 4*r = -y, -3*v - 4*r + 1 + 4 = 0. What are the prime factors of (-1)\/((-4 + v)\/87)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 296 + -296.1. Which is the closest to -1? (a) x (b) -14 (c) -0.5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4*sqrt(17)*6 + (sqrt(425) + sqrt(425) + 0 - (2*sqrt(102))\/sqrt(6)).\nAnswer: -4 + 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 6*t + 12. Let l be (-1)\/((-39)\/306) - (-12)\/78. What is o(l)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48598 divided by -135?\nAnswer: 48598\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 11*c**2 - c - 11. Let y be z(-11). Suppose 3*o - 105 = -y*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8268 = 29*v - 3*v. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 7:23 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/15 - 58*w\/15.\nAnswer: -2*w*(w + 29)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 9*u**3 - u**2 - u - 1. Let r be t(-1). Suppose 3*k + 4 = -2. Let w be 1\/(k\/r) + -3. What is the greatest common divisor of w and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -726, -746, -778, -828, -902, -1006?\n\"Answer: -d**3 - 13*d - 712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 21*j**2 - 10*j - 9. What is the hundreds digit of u(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14855310 and 22?\nAnswer: 163408410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((2*sqrt(320) + sqrt(320) + -2 - (sqrt(320) + sqrt(320)*-1*3)) + 0))**2.\nAnswer: -160*sqrt(5) + 8004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**5 - 4*h**5 + 0*h**5)*(-82 - 82 + 14) + (-3*h**4 + 3*h**4 - 2*h**4)*(-4*h + 2*h - h) - 3*h**5 + 3*h**5 - h**5.\nAnswer: 155*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7097 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -24100, -46373, -68646, -90919?\n\"Answer: -22273*b - 1827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3168 and 27.\nAnswer: 9504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of 0*d - 1\/6*d**3 + 1\/24*d**4 + 0 + 4*d**2. Calculate q(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 2.\nAnswer: -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 7*y**2 - 5*y - 3. What is the smallest common multiple of 8 and t(5)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h - 100 = 14*h. Solve -7*s = -2*s + h for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/3)\/k*(k*((k*(k*k**(-9))\/k)\/k)\/k)\/k*k**9\/k*k\/k**(-1)*k*k*k*k)**(-1\/26) assuming k is positive.\nAnswer: k**(-11\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 249 = -7*w. Let v = w - -85. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyqycsslqqyyysyyqyqy. Give prob of picking 1 l and 1 c.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 13) in base 9?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(560) + sqrt(560)*2)\/(-2*sqrt(245)).\nAnswer: -6*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 4*w - 8. Let u be h(-6). Let x = -2973\/4 + 748. Calculate the common denominator of 231\/18 - 0 - u and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71938 is divided by 1058?\nAnswer: 1052","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -caa1 (base 13) to base 4.\nAnswer: -12320121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 41 (b) 0.5 (c) 0 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 5*u, 0 = 4*y + u - 10 - 9. Suppose 0 = -4*w + 4*r + 6516, 3*w - y*r - 4879 = -0*w. Suppose 443 = 12*l - w. List the prime factors of l.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -160*q**2 - 2*q. Let h(d) = -52*d - 1. What is w(h(b))?\nAnswer: -432640*b**2 - 16536*b - 158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2241 take away 8731032.2?\nAnswer: -8728791.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -746*m + 746*m - 26 + m**3 to the form f*m**3 + i*m + l + c*m**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-17)\/(1\/(-1*2)). Let c = 29 + -44. Let m be (c\/(-10) + 1)*34. What is the highest common divisor of v and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*u - 554 - 328 = -29*u for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -32*a. Let t(n) = -n - 67. Calculate t(y(r)).\nAnswer: 32*r - 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 134100006 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 270163763 to the nearest integer?\nAnswer: 16437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -15*w - 1\/48*w**4 - 1\/12*w**3 + 0*w**2 + 0. What is v in f(v) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1950 = -13*v + 26*v. What is the highest common factor of v and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 269763, -2, 151.\nAnswer: -2, 151, 269763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104100 - -211130?\nAnswer: 320230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*32\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.9 - -1.3. Let o = 2\/373 - 381\/1492. Which is the closest to 2? (a) o (b) w (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-121 - 198 + 124)*(4 - 4 + 2*c**3 + (57 - 57 - 14*c**3)*(-1 - 2 + 2)) to a*c**2 + z + j*c**3 + x*c and give j.\nAnswer: -3120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86630400?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from fyfffyyyfffy?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uxxuuuu. Give prob of picking 3 u.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/(sqrt(12) - (-2*(sqrt(24)\/sqrt(2) + sqrt(12)) - sqrt(12))) + 4)**2 - (sqrt(17) + (sqrt(204)*-2)\/sqrt(12) + 3*sqrt(51)\/sqrt(3) + 2).\nAnswer: -2*sqrt(17)\/3 + 521\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18138563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 12\/13 (b) 1\/9 (c) 4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 922541 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*f**2*z - 9833*f**2 - 34384*f*z - 41*f wrt z.\nAnswer: 6*f**2 - 34384*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 + 16*n**2 - 11*n**2 + 2*n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 17\/(-8) + 2 - 1023\/(-792). What is u in 5\/6*u**3 - 1\/6*u**4 - 3\/2*u**2 + k*u - 1\/3 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 11, 23, 51, 101, 179?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 0) + (15 - 17) + (8 - -25) + -31?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*f + 15. Let g(d) = -d**3 + 4*d**2 - 13. Let z be g(-2). Let v = z + f. Calculate the greatest common factor of 20 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 2*d**2 - 20*d + 1. Calculate the remainder when 39 is divided by k(10).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 103999\/247 or 422?\nAnswer: 103999\/247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**3 - 24*b**2 - 23*b - 32. Let o be i(13). Solve 0 = 9*k - o*k + 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 111981, 223969, 335957, 447945?\n\"Answer: 111988*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16883 + -16878. Sort p, -746, -4, -3 in ascending order.\nAnswer: -746, -4, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2 = -2, 0 = -5*w + 4*l - 11. Let j be (-22 + 22)*(1\/(-1))\/2. Suppose -4*f + 12 = j, -2*q - 2*f + 22 = 2*f. Sort -1, w, q in decreasing order.\nAnswer: q, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 2*j + 0*j)*(9*j - 152*j - 65*j)*(j**2 - 1 + 1).\nAnswer: -624*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -517 - -520. Suppose l - 11981 = -5*d - 2*l, 0 = -2*d - 2*l + 4794. Find x such that 2380*x**2 - 12 - d*x**2 + 35*x**3 + 25*x**k - 60*x + 27*x**4 = 0.\nAnswer: -2, -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24685973?\nAnswer: 13, 1898921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 91, 99, 119, 157, 219, 311?\n\"Answer: o**3 + o + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 105215, 106139, 107061, 107981, 108899, 109815?\n\"Answer: -k**2 + 927*k + 104289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j - 6. Let f(l) = 3*l - 6. Let p(q) = 3*f(q) - 4*t(q). Give p(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*h = 172*h + h + 109*h + 7845 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -15*v + 2. Let p = 0 - -2. Let o be a(p). Let t = 43 + o. Solve -5*c - t = -0*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70540043 less than 41?\nAnswer: -70540002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -9. Let d = b - -3. What is the nearest to 2\/3 in d, -2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(190) - 1*sqrt(190)) + (sqrt(190) - sqrt(190)*-2*1))\/(sqrt(100)\/(-1*sqrt(160))).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265211361 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 34*m**2. Let q(j) = j**3 - j**2 - 2*j - 1. Let k be q(-1). What is the tens digit of u(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -48*n + 2. Let u(v) = 9*v**2. Calculate j(u(y)).\nAnswer: -432*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -43*j**4 + 29027*j**3 - 1544964*j**2 + 3043268*j - 138208 = 0.\nAnswer: 2\/43, 2, 56, 617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 559366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19766 is divided by 3290.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 7*n**2 - 67*n + 61. Let q(u) = 3*u**2 - 33*u + 30. Let t(g) = 5*q(g) - 2*z(g). Let b be t(30). Is -15\/17 at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgl when three letters picked without replacement from {g: 4, w: 5, h: 3, l: 5, s: 1}?\nAnswer: 25\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 92535, 185115, 277739, 370407, 463119?\n\"Answer: 22*r**2 + 92514*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5220886008 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 5:23 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t**3 - 3. Suppose -32 = -3*p - 2. Let q(m) = 10*m**2 + 1 + 0 - p*m**2 - m**3. Let s be (-2)\/1 + -2 + 6. Give s*f(l) + 6*q(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 9 = -5*r, 3*r - 4*n = -0*r - 13. Which is greater: -4\/371 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/2)\/f*f**(1\/4))**18*((f*f*f**(-6)*f)\/f*f**2)\/(f*f**(-1)*f*f)**(-6\/5) assuming f is positive.\nAnswer: f**(-221\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3\/2 - 747*n**2.\nAnswer: -3*n**2*(n + 498)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/7 and ((1176\/195)\/7)\/2.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 950 = 5*v, -v + 0*s + 193 = 2*s. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.23629 to three dps.\nAnswer: 0.236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24288 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -580, -4\/21, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75\/8 - 4283\/456. Let r = 58\/1121 - 10555\/6726. Let u = z - r. Which is smaller: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 + 560572199.44\nAnswer: 560572243.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/17, -1\/8, -108.3, -79?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wnwz when four letters picked without replacement from {w: 4, z: 1, m: 7, n: 2, q: 3}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326729.\nAnswer: 13, 41, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-15) - (-52)\/10. Suppose -4*g + t = 2, -b*t - 5 = g - 15. Solve g = 2*q + 3 + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 14) to base 4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.763619mm to nanometers.\nAnswer: 1763619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 700 = 2*n + 8*n. Calculate the remainder when 68 is divided by (n\/(-42))\/((-1)\/15*1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -12*w**3 + 13*w**2 - 9*w - 10. Let q = -12 - -11. Let n be (-7 + 9)\/(q\/(-5)). Let k be b(n). What is k rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 b when three letters picked without replacement from qqseseslybbysslq.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*(-3)\/2*1356\/791?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 2728\/2569 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j**3*o**2 - 5*j**3 - 3*j**2*l*o**2 - 3*j**2*l + 3*j**2*o - 2*j*l wrt o.\nAnswer: 4*j**3*o - 6*j**2*l*o + 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 4*d - 4 = -4*o, 5*o - 15 = -5*d. Let b be 6\/(-15)*10\/(-4). Let -4*l**2 + 3*l**o + 5*l - 2*l - b - l = 0. Calculate l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (-2148)\/270) + 484\/5544\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81 - 13648*f**2 + 7*f - 13629*f**2 + 27269*f**2 - 7*f.\nAnswer: -8*f**2 - 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 1022\nAnswer: 1\/1022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 24*o - 149. Let r be w(6). List the prime factors of 2\/(-12)*-9*(-2810)\/r.\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, v: 8}. Give prob of picking 3 v.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -12)\/(-5 + 4)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 0. Let t = 0 + -4. Let i = -65 - -65.2. Which is the closest to m? (a) 4 (b) t (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 41 = -4*b. Let r(d) = -d + 3. Let s(n) = -n - 1. Determine b*s(a) - r(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31553, 49562, 67571?\nAnswer: 85580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 270.1793?\nAnswer: 27.01793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 174159 to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -5*y + 3. Suppose 5*q = -9 - 6. Does 7 divide u(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j*j**(1\/4)*j)*j**(-2\/5)*j**(-4\/3)\/(j\/j**2) assuming j is positive.\nAnswer: j**(-119\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 9*p - 25. Is 10 a factor of l(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (-13 + 4) - -14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -8*d**2. Let l(f) be the second derivative of 0*f**2 - 21*f + 0 - 5\/6*f**3. What is l(j(n))?\nAnswer: 40*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 589*i - 1157*i + 579*i.\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2778230 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -15 + -1 + 6 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 + 5 = 2*c. Suppose c*s - 23*s + 114 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 0, 5*o - 15 = 70*i - 65*i. Let w be 3\/(-9) - 2\/(-18). Which is the fourth biggest value? (a) 0 (b) i (c) -1 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 - 367771*q**2\/5 - 3383060448*q\/5 - 30755402496\/5.\nAnswer: -(q + 18384)**2*(10*q + 91)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 4) in base 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 3:11 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 4\/47 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -29, -117, -279, -539, -921?\nAnswer: -1449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-24))\/((-60)\/(-45)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26010, -26020, -26034, -26052?\nAnswer: -26074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-16)\/12 - 3220\/(-21) is divided by 57.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 4 - 2. Suppose m + r*w = 1, -m - w + 2 = 3. Is m - 3\/2*-6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -627*f - 2290 = -169*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 84993, 339935, 764837, 1359699, 2124521?\n\"Answer: 84980*y**2 + 2*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 3*t - 7, -5*y + 2*y - 4 = -t. Suppose -5947 = 153*z - 466*z. Calculate the highest common divisor of t and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17072380 and 381940.\nAnswer: 3380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -181 + 180.6. Let u = 0.4 + -0.3. What is the third smallest value in u, l, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1254, -2822, -4390, -5958, -7526, -9094?\nAnswer: -10662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 3 = 11*s + 2*a, 2*s - 2*a = 10. Calculate the remainder when 1403 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-28)*l**16)\/(((l\/l**28)\/l)\/(l*l*(l**(3\/22)*l)\/l*l*l)))**(-18) assuming l is positive.\nAnswer: l**(-3987\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*r**4 + 134*r**3 - 2431 with respect to r.\nAnswer: -12*r**3 + 402*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71764 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -39, -108, -223, -384, -591, -844, -1143?\n\"Answer: -23*s**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38034 + -38034.01. Which is the nearest to 140? (a) d (b) -2\/5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**5 + 5*s**5 - s**5 - 48674*s**3 + 48674*s**3 + 90*s**5 + (0*s**2 + 2*s**2 + 0*s**2)*(4*s**2 - 4*s**2 - 2*s**3).\nAnswer: 90*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 984986659.\nAnswer: 984986659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-60))\/(1\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 382*c**4 - 75*c - 2 wrt c?\nAnswer: 4584*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -196 - 74 + 553*y - 342 with respect to y.\nAnswer: 553","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1550 - -1558. Let u(c) be the second derivative of 23*c**4\/12 + c**3\/6 - c. What is the lowest common multiple of u(1) and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136024459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 732, 1396, 1976, 2472, 2884, 3212, 3456?\nAnswer: 3616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7171.\nAnswer: 71, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 3 = -3*t + 2*t, 0 = l for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v = 13*v + 15*v. Is -2\/15643 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, y: 5, e: 1, n: 1}. What is prob of sequence yken?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 1248 = 4*n + 285, 4*o - 1253 = 5*n. What is the remainder when o is divided by 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(153) + sqrt(153) + 1*sqrt(153)*-5)*1)\/((sqrt(324) + (sqrt(324) - -2*sqrt(324) - sqrt(324)))*-6) + 4).\nAnswer: -12 - sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -68158 + 115817. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -111 + 104. Suppose 0 = 2*n + 5*d + 17, -4*n + 23 = -2*n - 3*d. Put -5, n, -3, j in increasing order.\nAnswer: j, -5, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -9468 and -0.2.\nAnswer: -9468.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 49822611?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3298 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9555 and 195.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -332062.5?\nAnswer: -996187.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 10:38 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-2) + (-2)\/4. Let u be ((-21)\/3)\/(c\/(-14)). Let x = -47 - u. Sort -3, 4, x.\nAnswer: -3, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -243.828964166 - 0.170898834. Let x = 244 + o. Round x to five dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 888133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/5*(-520)\/(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n**3 - 9*n**2 - 9*n. Let c(w) = -5*w**3 + 10*w**2 + 10*w. Suppose -g = -4*v + 8 - 0, -4*v + 28 = 4*g. Let y(d) = v*c(d) + 4*t(d). What is y(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-15) + 69083108\/(-240). Let y = -288227 - g. Let m = y + 371. Find the common denominator of 83\/6 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 551238.7 milligrams to tonnes.\nAnswer: 0.0005512387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 756 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 1 + 6 - (45 + -51) - -6.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 1463*r**3 + 84*r**2 - 1287*r + 8. Let o(t) = 1463*t**3 + 63*t**2 - 1286*t + 6. Let m(d) = -4*o(d) + 3*p(d). Find the second derivative of m(g) wrt g.\nAnswer: -8778*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w**3 - 9*w**2 + 7*w - 2. Let m(q) = q**3 - q**2 + q - 1. Let s(o) = -d(o) + 4*m(o). Let c be s(4). Solve 0*i + i = c for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - -2 - -7) + 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 16 - 10)*(-2 + 2 + 2*h)*(-5*h - 2*h + 4*h + (-11 + 4 + 2)*(-1 + 1 + h) - 3*h - 4*h + 4*h).\nAnswer: 132*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l + 2. Let n be d(6). Let w be n - -2 - (2 + -4). Let r be w\/24 - (-18)\/8. Solve 4 + 6 = -4*c - r*g, 5*g = -15 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h**4 - 29*h**3 + 41*h**2 + 67*h**3 - 36*h**3 - 42*h**2 + 5*h**4 - 9 to the form n*h + s + v*h**3 + x*h**2 + z*h**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + 71. Let t = b - 80.9873. What is t rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 14*c. Let d(s) = -29*s - 6*s + 14*s + 6*s - 8*s. Give d(l(m)).\nAnswer: -322*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 155014, -3, -5 in increasing order.\nAnswer: -5, -3, 155014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h - 10. Let b be ((-5)\/(-10)*-5)\/((-10)\/24). Let d be o(b). Solve d*i = 2*q, 5*i = -3*q + i - 28 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4854 divided by 1618?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-285 + 514 - 802)*(1 + 4 - 6)*(-2*l**3 - 2*l**2 + 2*l**2).\nAnswer: -1146*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2790742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 - 1.911?\nAnswer: -0.611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, 0, 1 in descending order.\nAnswer: 1, 0, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 6*j - 26. What is i(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-154)\/(-350)*-5)\/((-39)\/117).\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 33.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -201*d**2 + 43*d - 6. Let j(z) = 601*z**2 - 123*z + 17. What is -6*j(i) - 17*s(i)?\nAnswer: -189*i**2 + 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 - 27*o + 21. Let s be r(13). Solve 2*c + 8 = 4*b, -c + s = 2*b + 2*b for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3897138349 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 p = -53 + 88. Let t be p\/25 - 2\/2. Suppose 0 = -5*s - l + 23, 5*s + 3*l = 17 + 2. Which is the second smallest value? (a) s (b) 0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -11*y**3 - 3*y**2 - 2*y - 4. Determine p(-2).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -98817, -98169, -97519, -96867, -96213?\n\"Answer: l**2 + 645*l - 99463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 = 15*c - 29 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 3 + 5 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1528956 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5489*j*n**3 - 2953*j*n**2 - 1863*n**3 + 4224*n wrt n?\nAnswer: 32934*j - 11178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 95*g**3*q*w**3 - 4*g**3*w - g*q*w**3 + 69*g*w**3 wrt q.\nAnswer: 95*g**3*w**3 - g*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145319 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (16 - (-47 + 62) - (10 - -1))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 21*s**3 + 5*s**2 + 9*s + 3945. Let j(u) = 4*u**3 + u**2 + 2*u + 1. Determine -5*j(z) + n(z).\nAnswer: z**3 - z + 3940","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 divided by -21.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23733 or 1466?\nAnswer: 1466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1304035.34 - 1.571\nAnswer: -1304036.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z. Suppose 18 = i - 2*u, -5*i + 3*i + 5*u = -40. Suppose 591 = -4*s + 599. Let a(x) = i + s*x**2 + 5 - 15. Give a(t(f)).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s\/(s\/(s\/(s*s*s**(3\/7))))*s))\/(s\/(s**11*s)))\/(s**(-2\/61)\/s)**(-17) assuming s is positive.\nAnswer: s**(-2617\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of 0 + 23\/30*y**5 - 44*y**2 - 25\/6*y**3 + 0*y + 0*y**4. What is the derivative of z(d) wrt d?\nAnswer: 92*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217*j - 813756 = -229*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/17 - ((-384741)\/119 - 0).\nAnswer: 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g + 0*g = 477. Suppose g*o - 58*o = -15. Factor -2\/3*w**2 + 2\/3*w**o - 10\/3*w - 2.\nAnswer: 2*(w - 3)*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4063, 4102, 4141, 4180, 4219?\n\"Answer: 39*n + 4024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-13 - 1) - (0 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(((-36)\/(-9))\/4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 32*h**2 - 191*h - 3989. What is a(-30)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -79.\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -163 + 150. Let y(h) = -17*h - 199. Let x be y(-12). Which is smaller: g or x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - -2) + -1 - 1. Suppose 2*o - 8 = -2*o + 4*j, -2*j + 31 = f*o. Calculate the remainder when 13 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + -36. Let r = k - -80. Is 1\/(-3) + 3440\/r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31929 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**18)\/i**(2\/13)*i**25\/(i*i**(-4\/9)*i) assuming i is positive.\nAnswer: i**(4948\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 9 + 2 - 7 - 1148224*f + 1148224*f - 5*f**2 + f**2.\nAnswer: -4*f**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*g = -2*g - 14223. What are the prime factors of g?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 4*s = 16, -1 = 3*l - 5*s + 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 4*b - 2. Let m(j) = j**3 + 9*j**2 + 6*j - 11. Calculate the remainder when m(-8) is divided by s(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f + 2. Let t(m) = 2*m + 1. Let z = -73 - -78. Suppose 2*y + 12 = 2*q - 4*q, z*y + 4*q + 28 = 0. What is y*u(i) + 7*t(i)?\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 751797*i**2 + 5562*i - 3708. Let y(t) = -6481*t**2 - 48*t + 32. Calculate 8*o(l) + 927*y(l).\nAnswer: 6489*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, d: 9}. What is prob of picking 3 k?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483 is divided by 35.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 18351*c**4 - 3227*c**4 + 0*c)*(4*c + 0*c - 2*c).\nAnswer: 30248*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2648 and 88.\nAnswer: 29128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 32572943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/204 and -7\/117368.\nAnswer: 352104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 3:32 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 10*d**2 + 9*d + 3. Let w be n(-9). Find the second derivative of w*a**2 - 3*a - 2*a + a wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 12:10 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 3 (c) -2.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or 18\/1661?\nAnswer: 18\/1661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f - f**2 - f + (0*f**2 - 2*f**2 + 4*f**2)*(11 + 20 - 3) + (0 - 5 + 2)*(-3 + 3 - 4*f**2) to v*f + t*f**2 + i and give t.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19072 - -19072.1. Let m = 0.95 + -1. Let l = -9.95 + m. What is the smallest value in s, l, 0.3, -2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3916 and 2956.\nAnswer: 2893924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -205, -191, -153, -79, 43, 225, 479, 817?\n\"Answer: 2*n**3 - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 12 = -0*v. Which is the second smallest value? (a) v (b) -0.2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 35*t**2 + 265*t + 1684. Let o(n) = -15*n**2 - 133*n - 841. Let k(d) = -9*o(d) - 4*v(d). Find the first derivative of k(a) wrt a.\nAnswer: -10*a + 137","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12915 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 389.41000073924 + -389.41. What is g rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.6778 - 0.3222. What is the closest to -14 in -0.4, 1, g, -2\/13?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 319*k**4\/12 - 27*k**2 + 27*k - 7. Find the first derivative of v(n) wrt n.\nAnswer: 638*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20636719*r - 63119440*r - 21204116*r.\nAnswer: -104960275*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -1 (c) -1.182 (d) -3 (e) -1870\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -172\/5*o - 167 - 1\/5*o**2 = 0. Calculate o.\nAnswer: -167, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**3 + 2*j**4 - 2*j**2 + 5*j**3 + 11*j**3 to t*j**4 + h + g*j**2 + x*j + d*j**3 and give d.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 263 = -4*h, 3*n + n = -h + 329. Let j be -1 - (n\/21)\/(-3). Let u be 72\/(-30) + 4\/10. What is the closest to 1 in 2, u, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4276346397.\nAnswer: 3, 19, 1787, 41983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 37481113327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/6*(395\/316)\/((-25)\/120).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*q = -43*q - 870 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-220)\/(-77)*(-49)\/(-14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 + -0.2. Let b be (2 - 9\/3)\/1. Let r be b + -2 + -6 + 12. What is the closest to 1 in -5, r, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1339 and 39.\nAnswer: 4017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -69762192 divided by -23254064?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -b - 1. List the prime factors of ((-74)\/b)\/(6\/24).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 5*g + 48. Let f = g - -22. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(10)\/(sqrt(288) + sqrt(288)*1))**2 + -5 + (sqrt(2240)*2)\/sqrt(7).\nAnswer: -2885\/576 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -7*o - 218. Let z(j) = 19*j + 653. What is -17*v(f) - 6*z(f)?\nAnswer: 5*f - 212","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.4 + 0.6. Let j be ((-685)\/2466)\/((-25)\/(-12)). Let k = -0.7 + -0.3. Which is the nearest to k? (a) -3\/7 (b) o (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22? (a) -4 (b) 0.13 (c) 169\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**2. Let k(a) be the second derivative of 0*a**2 - 61\/6*a**3 - 1\/12*a**4 + 20*a + 0. What is x(k(g))?\nAnswer: 3*g**4 + 366*g**3 + 11163*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 63358?\nAnswer: 570222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gq when two letters picked without replacement from {a: 5, g: 3, q: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0156568 kilograms in tonnes?\nAnswer: 0.0000156568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -197\/330 and -23\/21360.\nAnswer: 234960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 11:58 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 5*y + 4*z + 297, -3*z + 876 = -3*y. Let k = -3225\/11 - y. Let h = -27 + 109\/4. Which is the nearest to -1? (a) 5 (b) h (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4689 by -66.\nAnswer: -1563\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 3 + -4 - (-57 + 57)) + -5\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*b - 2275 = -45*b. Calculate the smallest common multiple of b and 50.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 206495, 206786, 207581, 209132, 211691, 215510, 220841, 227936?\nAnswer: 237047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 1:06 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 580242 + -580242.934318. Let a = -1.1543 - u. Let k = a - -0.22. What is k rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14979.34 > -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1725603739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, j: 7}. What is prob of picking 1 o and 1 j?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 12:47 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l + 3*l - 4*l + (3 + 0 - 2)*(-2*l + 3*l + 4*l))*(l**2 - 4*l**2 + l**2) to the form d*l**3 + u*l + s + i*l**2 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 5*l = 36. Suppose -128 = l*i - 398. Calculate the smallest common multiple of 24 and i.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 4:54 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 35917 = 17*a - 16*a, 0 = -10*a - z + 359464. What are the prime factors of a?\nAnswer: 103, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 2*b + 30. Find the second derivative of -15*z - b*z - 14*z + 31*z**3 wrt z.\nAnswer: 186*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2945321.138 to the nearest one hundred thousand.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3462374 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -271*b**3*s - b*s + 871*s wrt b?\nAnswer: -813*b**2*s - s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**5\/60 - 5*z**4\/6 - 17*z**3\/6 + 124*z**2. Calculate g(-15).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 11:52 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l - 18 = -27*l. Suppose 0 = 3*h - 2*h - 10. Let u = h - l. Put 2, u, 0 in ascending order.\nAnswer: 0, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -579.47.\nAnswer: 57.947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 41314553659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 + -27?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1)**(-5\/3)\/((k*k\/(k\/(k**(2\/3)*k))*k)\/k)**(-5\/4))**(-3\/2) assuming k is positive.\nAnswer: k**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 + 28. Let s(y) = -y**2 + 4*y + 3. Let i be s(4). Calculate the highest common factor of t and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1606 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -15. What is the units digit of 640\/25 + t\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4111717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*-2*3)\/((sqrt(48)\/sqrt(4) + sqrt(12))*1).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -634344*c**3*o**2 + c**3*o - 7*c**3 - 6*c**2*o - 12042*c**2 + 11*c*o**4 - 2*c*o + 2 wrt o.\nAnswer: -1268688*c**3 + 132*c*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 0, 5, 4 in descending order.\nAnswer: 5, 4, 0, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -1013c?\nAnswer: -10142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 2*u**2 - 2*u + 493. Is r(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*x - 9 = -r, -4*x - r = -24. Let b(d) be the second derivative of d**4\/6 + d**3\/6 - 2*d**2 - 7*d. Let g be b(3). Solve -x = -3*m - g for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263 = 132*w - 50*w + 181*w. Is w != -1\/2181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 197610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9514539 and -0.4.\nAnswer: -9514539.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-357243)\/7404 + (-9)\/(-4) + -2)*(0 - -1).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from mqqmmmmmqqqmqqqmqmq.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 5. Suppose -w - 42 - 6 = t. What is the units digit of w\/(-5) - (-2)\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -0.3, 0.406, 6, 2\/1081, -1\/8, 4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2643 + 3704. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one twentieth of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 26*u + 39. Let h(n) = n + 1. Let k(g) = -39*h(g) + v(g). Let y(a) = 41*a - 70. Let x(w) = 21*w - 42. Let d(m) = -5*x(m) + 3*y(m). Determine d(k(z)).\nAnswer: -234*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 765?\nAnswer: -761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 - 17*y + 24. Calculate the remainder when 155 is divided by p(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 - 6*q - 7. Suppose 30*l - 31*l + 12 = 0. What is the tens digit of d(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/13 - 356*n\/13 + 15504\/13.\nAnswer: 2*(n - 102)*(n - 76)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16446733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**3\/9 + 903563038*f**2\/9 + 34017756667730720*f\/3 - 11339252322972800 = 0.\nAnswer: -225890760, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1.32 (b) -1470 (c) -2 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**3 + 0*o**3 + 3*o**3)*(-2*o - 1 + 1) + (-2*o**4 + o**4 + 2*o**4)*((-1 + 0 + 4)*(3 - 2 - 2) - 3 + 2 - 1).\nAnswer: -3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 88442842 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 0.6. Let s(i) = -i + 29. Let h be s(22). Let l be (-3)\/h - 138\/(-126). What is the closest to 1 in l, 1, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -4*g - 18 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, s: 4, l: 2, z: 1, w: 1, c: 1}. What is prob of sequence sx?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366 is divided by 92.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -65627 minus -2?\nAnswer: -65625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/5862 and -131\/126.\nAnswer: 123102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 48 + 16 + 16 - o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -1167*k - 1929. Is 15 a factor of s(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 2\/413933?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaabbbbasa. Give prob of picking 1 b and 1 s.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -5*g**4\/12 + 445*g**3\/2 + 670*g**2 - 2*g + 7. Factor l(c).\nAnswer: -5*(c - 268)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m + m + 3*m)*(272 + 179 - 515)*(-4*m + 2*m + 4*m) - 3*m + 2*m + m**2 - 8*m as n*m + y + g*m**2 and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-24)*-1)\/(9\/270)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100902\/(-135540) + 1\/(-18).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6860)\/(-105) + -42 + (-13 - 0) - 9.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-8 - -8) - 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + (-3*sqrt(480) - sqrt(480))\/sqrt(6).\nAnswer: -16*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*g - 215*g - 4 = 0, -13*g = -4*q + 65 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n + 2 - 2 + (0 - 2 + 0)*(-2 + 2 - 2*n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39080.\nAnswer: 2, 5, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhh. What is prob of sequence hh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -7*n + 4. Let x = -14486 - -14490. Which is the closest to 7? (a) -3 (b) n (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 u when two letters picked without replacement from {u: 4, w: 1, b: 1, p: 2, v: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 + v + 4. Let w(h) = 4*h**2 - 8. Let g be w(4). Let s = g + -51. Suppose s*r - 5*f - 57 + 17 = 0, 4*r - 2 = -2*f. What is n(r)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -541 = -3*u - i, 56*i - 55*i = -5*u + 903. What is the remainder when u is divided by 51?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 758293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 264\/2068*(-846)\/36. Suppose 0 = 3*l - 4*l. Suppose -2*j + 1 - 9 = l. Sort u, 1\/4, j.\nAnswer: j, u, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 13*g**3 + 46*g**2 + 49*g + 26. Let t(u) = 9*u**3 + 31*u**2 + 34*u + 17. Let r(v) = -5*c(v) + 7*t(v). Calculate r(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -1. Suppose 29 = 4*q - 3*g, -3*q + 2*g + c*g + 30 = 0. Suppose -6*t**4 - 2*t**2 - t**4 + 3*t**4 + t**5 + q*t**3 = 0. What is t?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (22\/2 - 11)\/2. Factor s*z + 0*z**3 + 2\/15*z**2 - 2\/15*z**4 + 0.\nAnswer: -2*z**2*(z - 1)*(z + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -13.3. Let b = -44.31 - -45. Let d = b + s. Round d to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1695 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: Let a = 996 - 15957\/16. What is the common denominator of a and 107\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1. Let l(h) = 2*h**2 - 4*h - 6. Let z be l(5). Suppose r + r - z = w. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 351, -1774, -3899?\n\"Answer: -2125*s + 2476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 1298*c - 5. Let q(j) = 35*j - 1. Calculate 10*q(p) - u(p).\nAnswer: -948*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1913*h - 11897 = 9146 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 462048 divided by -38.\nAnswer: -231024\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - (-1)\/3*0. Suppose 12 = -3*t, 7*t - d*t = 5*h + 128. Let z be 3\/2*h\/(-21). Solve z*c + 2*u = -1 - 13, -2*c = -2*u + 6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6*t + 7*t - t + 28 + 23*t**2. Let u(b) = 15*b**2 + 19. Let w(y) = 7*u(y) - 5*v(y). What is the derivative of w(q) wrt q?\nAnswer: -20*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (6 + -3 + -5 - -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 2*q + 4. Let n be 14\/4 + 4\/(-8). Let g be c(n). Let b = 5\/3 + -7\/6. Is b at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 863 - 583. Is r a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.252 + -3.252. Sort -1, d, 0, -2\/7 in decreasing order.\nAnswer: 0, -2\/7, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 0, 308 = -4*o + 6*o - 5*n. Suppose 0 = 3*r - 5*j - 230, 0*r - 2*r = -4*j - o. Suppose 10*z - r = 5*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -83 and -85 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-2\/7))**(-4\/19) assuming j is positive.\nAnswer: j**(-48\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 773 = -4*g, 129 = 2*g + 3*c - 260. Suppose 5*x - 63 = -3*r + g, -5*x = 5*r - 410. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1063423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 19*i**2 + 109*i + 6. Give m(11).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1155, 2234, 3301, 4350, 5375, 6370?\n\"Answer: -y**3 + 1086*y + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t + 2 = -21*t. Let b be ((5 - 0)*t)\/1. Solve 15 = -2*s + b*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q. Let k(l) = 2*l. Let x = -5 - -3. Let a(n) = n**3 - 13*n**2 - 3. Let v be a(13). Let f be x*v\/((-6)\/5). Give f*k(d) + 12*h(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + w - 4*w = -8, 5*p - 24 = w. Suppose -4*s + 0*f - p*f + 28 = 0, 2*f = s + 8. What is the lowest common multiple of s and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + g**2. Let r(k) = -3*k**3 + 5*k**2 + k. Let q(v) = -v**3 - 7*v**2 - 8*v - 7. Let f be q(-6). Suppose -x = -19 + 20. Give f*y(b) + x*r(b).\nAnswer: -2*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -137.7 - -137.9. Suppose v - 8 = -29. Let s be v\/18 - -1*2. What is the third smallest value in c, 1\/10, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 + -49 - (4 + -3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = i + 8, 0 = -2*d + 3*i + 41. Calculate the greatest common divisor of 513 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 8, t - 993 = 4*k + 129. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-1))\/((-15)\/45). Let l(c) = c**3 + 13*c**2 + 12*c + 2. Give l(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1210)*1 + sqrt(10)*1*5)\/(1*-2*(sqrt(45) + sqrt(5))).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -7) + -1 - 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {p: 2, r: 2, b: 3, k: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 5*w + 107, 3*y - 5*w + 116 + 305 = 0. Let k = y + 285\/2. Which is smaller: 10 or k?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -76*f - 1431*f**2 + 1432*f**2 + 76*f. Let m(a) = -43*a - 36. Determine o(m(w)).\nAnswer: 1849*w**2 + 3096*w + 1296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 8:16 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dsa when three letters picked without replacement from sgggsygdggkgdgaggkg?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4. Let m(k) = k - 14. Let y(s) = 7*d(s) + 2*m(s). Let f(o) = -9*o. Let p(q) = 14*q. Let a(t) = -8*f(t) - 5*p(t). Calculate a(y(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 379970 to the power of 1\/2, to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -291 (b) 157.3 (c) -7 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d + 5. Let g = -1 - -1. Let z be b(g). What is the third derivative of 11*a**5 + 5*a**z + 17*a**2 + 0*a**5 - 28*a**5 wrt a?\nAnswer: -720*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 655?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*s + 4*s - s + 5*s + 0*s - s + (1 + 3 - 1)*(11 - 11 + 4*s) to the form f*s + l and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7016 - -7006 - (1 + (-45 - 1)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 306819 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from ffpfffff?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/79272 and -121\/234.\nAnswer: 1030536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 7*l**3 + 3*l**2 + l + 2. Give g(-2).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -300\/41 + 4116\/697. Let z = q + 134\/119. Is 3 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 - 86 - 3*o + 2*o + 48.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -525204800 divided by -5440.\nAnswer: 96545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-966714)\/28*(-4)\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 586.7 + -725. Let a = u + 131. Let d = -7.300059 - a. Round d to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48160, -48173, -48186, -48199, -48212?\nAnswer: -48225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 7*z**2 + 10*z - 4. Give f(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (126*k + 46 - 76 + 40)*(-2*k - 3*k + 3*k)*(3*k - k - k) as h*k + m*k**3 + x*k**2 + n and give m.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 3, -10, -0.8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 511*p**3\/3 + p**2 - 8596*p - 7923. Differentiate f(c) wrt c.\nAnswer: 1022*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -171 and 1.\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*v**2 + 419*v**3 + 26*v**2.\nAnswer: 419*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 234 + 24. Let o = s - 465. Let i = o + 207.0000189. Round i to 6 decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 3\/8, -117, -1.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, l: 4, n: 3}. What is prob of picking 3 l and 1 e?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -369*c**4 - 25*c + 10?\nAnswer: -4428*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - k + 2 - 2*k - 2*k - 2*k + k - 1 + 1 + (2 - 2 + k)*(-1 + 2 - 2) + 3 + 2*k - 3)*(-k + 2*k + k) as v + f*k + y*k**2 and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + -23 - (0 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-3) - 9\/(-27). Which is the nearest to -1\/4? (a) -2 (b) 4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.43185 rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + m = 0. Let p be 3 + 2 + (-1 - -3). Suppose -o + 4*s + 10 = m, -4*o - s = -6*s - p. What is the nearest to 0 in o, 3, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (16\/(-6))\/(1\/18). Let l = -46 - x. Let z be l + (-6)\/(-9)*-3. Solve z = 5*h - 2*b - 0*b - 20, 0 = -5*b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*i + 2 = 3*g + 53*i, -3*g = -4*i + 14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 15*j - 4. Let f be y(4). Suppose -f - 8 = -4*t. Suppose -r - 3*r + t = 0. Solve -x - r = -5*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -170.25 + 40.25. Is -15 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29.3 + 31. Let h = -2.3 - k. Let o = -3.5 - h. What is the closest to 0.1 in 3, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.9 * -7161.\nAnswer: -13605.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*d + 26*d = 2483 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -12 - 2\/(-4)*18.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -313?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/42 + -1 + 6310\/14. Let t = -448 + m. Solve -t*k = -0 - 8, 0 = h + 3*k - 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8668635 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28899 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 5*y**2 + 8*y - 4. Let x be h(-4). Let t be (-2*x\/56)\/(3\/21). Solve -2*i = -t*b - 8, -2*b - 4*i = -8*i for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 12:23 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/3)*w)**(-39) assuming w is positive.\nAnswer: w**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**3 - 3*v**3 - 2*v**3 - 3 + 3 + 2*v**3 - 2*v**3 - 2*v + 2*v + (2*v + v - v)*(2*v**2 - 3*v**2 - v**2) - v**3 - v**3 + 0*v**3 + v**3 + 2*v**3 - 2*v**3.\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12649.\nAnswer: 7, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23786*t - 23802*t + 64. Let k(u) = u**2 + u + 4. Give k(t).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4600 times -0.07269?\nAnswer: -334.374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (0 - (4 - (-6 - (-4 + 6))))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/435 and 109\/30.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 23\/3 of a hour?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3*24\/54*3\/(-1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7005077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 59669969?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4870*a**5*f + 20*a**5 - 7*a*f + 117*a - 8*f wrt a.\nAnswer: 97400*a**3*f + 400*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (44 + 608*a - 40 + 285*a - 8)*(-4*a**2 + 2*a**2 + 0*a**2) in the form g + s*a**2 + m*a**3 + p*a and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g + 6*g - 4*g + (-2*g + 2*g + 2*g)*(-41 + 10 + 18) to the form r*g + a and give r.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100846 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 5 + (-1 - 2 + 1)*(2 - 4 + 4))*(-3*l + 3*l + 2*l).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (133\/(-665))\/(((-243)\/423)\/(-27))?\nAnswer: -47\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-seven halves of a hour?\nAnswer: 66600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 299 + -6?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -27, -82, -191, -372, -643, -1022, -1527?\nAnswer: -2176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -5*u - 4*f, 2*u - 2*f - 2 = 6*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (437 - 24*o - 437)*(24*o - 24*o - 12*o**2) - 2 + 2 + o**3.\nAnswer: 289*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1440 - -1375 - (-10 + (1 - (3 - -1)))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/24 and 71\/711920.\nAnswer: 2135760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/(-10) + 0 - (-1)\/2. Let t(c) = c**3 - 2*c + 1. What is t(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 29\/6, 3701, -16, 1.\nAnswer: -16, 0.1, 1, 29\/6, 3701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 82, 213, 430, 733, 1122, 1597?\n\"Answer: 43*d**2 + 2*d + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l + 11. Let n(p) be the third derivative of -p**4\/12 + 5*p**3\/3 + 200*p**2. Determine -4*j(t) + 5*n(t).\nAnswer: 2*t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/19 - -52\/95. Let d be -2*(-2)\/(-2) - -2. Which is the nearest to d? (a) -0.2 (b) 1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 9. Let v be u(4). Suppose -x - 136 = -v*x. Let n = x - 28. Calculate the lowest common multiple of n and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47139 and 29808388?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j + 36*j - 38 - 68 = 0. Let p = 133\/6 - 77\/6. Factor -1\/3*i**j - 196\/3 - p*i.\nAnswer: -(i + 14)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/4 of a tonne in kilograms?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8595 - 8594.9. What is the closest to -5 in -3\/26, m, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**4\/48 - 181*f**3\/12 + 32761*f**2\/8 + 80*f + 1. Find r, given that q(r) = 0.\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x**3 - 8*x**2 + 4*x - 3. Determine b(-4).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(2880) - sqrt(2880))\/(-1*sqrt(1089) - (sqrt(324)*2 - sqrt(324))).\nAnswer: -24*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 12:20 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/l**22))\/l*l*l**(-17)*l assuming l is positive.\nAnswer: l**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -56*s**2 + 98. Let n(j) = -j**2 - 4 + 5 + 6 - 5. Let y(d) = -196*n(d) + 4*z(d). Let b(q) = -11*q**2. Determine b(y(c)).\nAnswer: -8624*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-4) + (-2)\/4. Let d be (-10063)\/2870 + (y - 1). Let n = d + -28\/205. Calculate the common denominator of n and -65\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300)*2*-3)\/(-6*sqrt(45)))\/(sqrt(2695)\/sqrt(11) - (sqrt(5) - (sqrt(5) - sqrt(15)\/sqrt(3)))*6).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 64*r**2 - 423*r + 14. Give f(7).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine halves of a year?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12998868*h*o**3 + 3*h*o**2 - 2*h*o - 3*h - 46398*o + 36 wrt o?\nAnswer: 77993208*h*o + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 606726 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + h + 27. Let p = -8 - h. Solve p + 0 = w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10668765, -10668767, -10668769, -10668771, -10668773, -10668775?\nAnswer: -10668777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*v + 38*v - 3. Let n(o) = 62*o**2 - 8*o + 70. Let m(z) = 21*z**2 - 3*z + 23. Let x(c) = v*n(c) + 8*m(c). Differentiate x(a) wrt a.\nAnswer: -36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*a + 840 = -7*a - 27*a for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311*x = -305*x + 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5549751089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 + (1 - 0) + -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 4:17 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - d - 2. Let p(j) = -1. Determine -5*p(n) + 3*v(n).\nAnswer: 3*n**2 - 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 124 - -2?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 268 and 1742?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.37246g to milligrams.\nAnswer: 67372.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 5374845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*v - o - 31, 14 = 2*v - o. Let p = -12.605 - 0.095. Let m = p - -13.7. Which is the closest to 0? (a) -4 (b) v (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 6) in base 13?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**3 - 2*n + n**3 + 7*n - 5*n**2. Let s(l) = 4*l**3 - 6*l**2 + 6*l - 1. Let j(f) = -6*i(f) + 5*s(f). Differentiate j(w) with respect to w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*w = -4, w = -6*j + 2*j + 12. Let s be 2 - (-3 - (3 - j)). What is the remainder when (s - 14)\/(2\/(-18)) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/1428 and 81\/340?\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295118 is divided by 813.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77 - 72. Let m be 3*(-3 - (-65)\/21). What is the third smallest value in o, -0.4, m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1029 divide 1072007523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(2\/2)\/(144\/16)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b28dbb + 3?\nAnswer: 1b28dc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 22*k - 63. Let q be 2*(69\/6 + -2). Let u be a(q). What is the common denominator of 63\/16 and (-2 - 3\/(-2)) + u\/10?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16*d*g*t*w - 5*d*g*t - 25*d*t - 526*d*w - 2*d - 9*g*t*w - 2*g - 33*t wrt w.\nAnswer: 16*d*g*t - 526*d - 9*g*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-375)\/60 + 2*3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, g: 13}. Give prob of picking 1 g and 2 z.\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2526 a factor of 3574290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*1*12 - 3. Let p be 63\/6*(-1 - n). Suppose 3*o + 271 = 4*f - 0*f, -4*f + p = -5*o. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4141 and 707?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**3\/4 + c**2\/4 + c - 1 = 0 for c.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1, -8, -15, -22?\n\"Answer: -7*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 49.56879t?\nAnswer: 49568790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**2 + 2*w**2 + 0*w**2 - 2*w**2.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**2 + 3*t + 2. Let m(s) = -3*s**2 + 0*s**2 + 4*s**2. Let o = -28 + 40. Suppose -5 = o*z - 7*z. Determine z*j(r) + 4*m(r).\nAnswer: r**2 - 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -57*i - 23. List the prime factors of s(-2).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4761 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 32622 divided by 2?\nAnswer: 16311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4646704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.429 rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 5 (b) 4 (c) -5\/4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 33*x - 1088. Let t be o(33). Let j = -13 + 5. Let r = -13 - j. Which is the smallest value? (a) t (b) -0.19 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173415857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -3. Suppose 0 = -8*x + 3*x + u. Let v(o) = 0*o + 7*o - 5*o. Give v(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/7984 and -127\/63912.\nAnswer: 63784176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 5*l**2 - 151806130*l + 1152255055278845 = 0.\nAnswer: 15180613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -68 - -41. Calculate the remainder when (-11)\/(0 - (1 + 0)) is divided by (-12)\/9*k\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75945174.\nAnswer: 2, 3, 457, 27697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 992, 1991, 2990, 3989, 4988, 5987?\n\"Answer: 999*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3991.8 - -136.3. Round u to the nearest ten.\nAnswer: -3860","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8c004 (base 14) to base 9\nAnswer: 567666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzuz when four letters picked without replacement from {z: 3, u: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fh when two letters picked without replacement from {f: 9, h: 4, e: 4}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 1937?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -3. Let q = 0.553 + -5.293. Let s = -4.84 - q. Which is the biggest value? (a) y (b) s (c) -0.2 (d) 8\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + ((-6*(6*(sqrt(1088) + 1) + sqrt(1088)))**2 - -2*(-2 + (sqrt(1088)*1)**2))).\nAnswer: -9613485 - 120960*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 69*r**3 + 6*r**2 + 6*r + 8. Let x(y) = 70*y**3 + 7*y**2 + 7*y + 9. Let z(d) = -7*a(d) + 6*x(d). Find the first derivative of z(c) wrt c.\nAnswer: -189*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 38 = -4*i, -29*k + 32*k - 15 = 2*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, x: 2, p: 3, y: 5, g: 5}. What is prob of picking 1 g, 1 x, and 1 e?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * 339.55.\nAnswer: -2037.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42866.\nAnswer: 2, 21433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.42 and -34453.6.\nAnswer: 324552.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -17*b - 2. Let l(v) = 34*v + 5. Determine -2*l(n) - 5*t(n).\nAnswer: 17*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tnfwtjwpn. What is prob of sequence fn?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 60\/(-36) - 1\/3. Let h be (-10)\/(-6 - -2 - f). Solve h*u - 2*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkzkppvzkppvp. Give prob of sequence kzp.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = -2*p - 522. Let n be 16\/(-20) - p\/60. Factor 0*o + 0 + 1\/3*o**3 + n*o**2 + 1\/6*o**4.\nAnswer: o**2*(o + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 + 3*t - 6. Let d be n(-2). Let p(m) = -m**3 - 7*m**2 - 8*m - 7. Let r be p(-6). Let i be r\/(-5) + 0\/2. Sort i, d, 3.\nAnswer: d, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s. Let o be q(0). Suppose 2*k + 4 - 32 = o. Let d = 85 - 46. What is the remainder when d is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y - 2. Let v be i(-4). Let x = 50 - v. Let n be 8\/(-6)*27\/x. Is 0 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(110)*-2)\/(sqrt(10) - (sqrt(1440) + sqrt(1440)*2)).\nAnswer: 2*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bwb when three letters picked without replacement from wwbbwb.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2 = -v - 2*q, 0 = 5*q - 5. Let j = 84 + -79. Suppose 5*a + 6 = -a. Sort j, v, a in decreasing order.\nAnswer: j, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 165968 by -176.\nAnswer: -943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2098\/781, -2\/31, 2?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 16*q**2. Let b(z) be the third derivative of -z**8\/10080 - 13*z**5\/10 + 130*z**2. Let v(j) be the third derivative of b(j). Determine v(l(h)).\nAnswer: -512*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 15*s**2 + 64*s - 489. Calculate the smallest common multiple of d(13) and 907.\nAnswer: 4535","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -4468.\nAnswer: 1340.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 7:44 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwwmxwwrxwwssxwwwww. What is prob of picking 2 w and 1 r?\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31020 at least as big as 2140460\/69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 681335?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*z**4 - 36*z**5 - 2*z**2 - 10*z**2 + 33*z**5.\nAnswer: -3*z**2*(z - 2)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*z + 23*z - 609329*z**2.\nAnswer: -609329*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100113 is divided by 155?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -30. Suppose -3*q + 19 = 2*p, 2*q = -4*p - 3*q + 39. Calculate the remainder when v is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64 - -72. Suppose 10*z = 7*z - 4*c + 28, 0 = -3*z + 5*c - y. Solve 1 = -z*o - v - 12, 5*o + 3*v = -18 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.868056 - -0.532. Let w = 1.59 - 0.19. Let s = w - d. What is s rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 16*z**2 - 58*z - 209. Let w be b(-7). What is w rounded to the nearest 10?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1209 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 74528666\nAnswer: 5\/74528666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/(-24))\/(1\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {v: 10, r: 9}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 441*s - 160*s - 1541 = 4641 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -65*d**3 - 35*d**2 + 35*d + 35. Let w(g) = -11*g**3 - 6*g**2 + 6*g + 6. Let u = 267 + -302. Give u*w(l) + 6*c(l).\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -1)*(-56317 - 0). Let m be o\/(-18) - 9\/(-18). Let y = -3132 - m. Find the common denominator of 34\/3 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57544311 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3448 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2530 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**1*i))\/i)**(-2\/125)\/(((i*(i\/i**(2\/27))\/i*i)\/i*i)\/(i**(-7\/2)\/i)) assuming i is positive.\nAnswer: i**(-43159\/6750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0*3\/(-6))\/4. Suppose q = 4*l - 0*h - 3*h - 6, 2*h + 11 = 5*l. Let n(g) = -5*g - 7*g**l - 5*g + 6*g**3 + 4 + 9*g**2 + g. Determine n(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 74, 176, 280, 386, 494?\n\"Answer: b**2 + 99*b - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*z - 1099270 = -272277. What is the ten thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of v**4\/12 + 25*v**3\/6 - 24*v**2. Let n(a) = -a. Determine h(n(m)).\nAnswer: -2*m + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0*s = -4*j + 121, 2*j + 5*s - 71 = 0. Let r = j + -23. Let t(i) = 2*i**3 + 5*i**2 + 8*i + 12. Is t(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 6*i**2 - 7*i - 2. Let l be y(3). Let j be (-2*(-1)\/l)\/((-4)\/(-8)). Let t = -70\/3 - -349\/15. Which is smaller: t or j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/12*(-3)\/(-1). Let v(y) = -2*y + u - 4. Let b(i) = -i. Let a = -487 - -498. What is a*b(l) - 4*v(l)?\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 544*m - 1. Suppose 3*v = c + 8, c + 0*c = 4*v - 9. Let x be t(v). Let a be x\/354 - (-6)\/(-4). What is the nearest to 1 in -2, a, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193 = -10*y - 437. Is -66 at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -2*q**2 + 1. Let b(t) be the third derivative of -13*t**5\/30 - t**2 - 21*t + 28. Calculate b(o(c)).\nAnswer: -416*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 23*f**2 - 17*f**2.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19971 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*g - 135*g = -40 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 95 - -2?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33570 + 27199. Are 1 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6952279, 13904578, 20856877, 27809176, 34761475?\nAnswer: 41713774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, k: 2, r: 1, u: 1, j: 4}. What is prob of picking 2 z and 1 j?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26.5 + 27. Let u = -11\/10 - -17\/20. Put u, h, -0.2 in decreasing order.\nAnswer: h, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and -0.423?\nAnswer: 0.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/2 - 141889*l**3 - 13425582180*l**2 - 423938957039575*l - 70189051410406375\/2.\nAnswer: -(l + 83)*(l + 94565)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5429812 is divided by 301656.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 3:41 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + r - b = -11, -3*b + 8 = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 141397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69056\/17 + -4062. Put 0.7, 3\/2, 0.5, -2, w in increasing order.\nAnswer: -2, w, 0.5, 0.7, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/3)*m*m**(3\/7))\/((m\/(m**5\/m*m)*m*m)\/m*m*m\/(m\/m**(-2))))\/(((m\/m**5*m)\/(m*m**(-1\/2)))\/(m**(-1\/7)\/(m*m**(-1\/2)*m))) assuming m is positive.\nAnswer: m**(167\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 5:10 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.4, 61\/6.\nAnswer: -0.4, -0.3, 61\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -3\/5, 4, 2\/17, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -102.9874 + 0.11\nAnswer: -102.8774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/42 or -746687?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -7*a**2\/2 + 1. Let n(m) = -1. Let f(y) = -y - 8*y + 1 + 10*y + 8. Let t(h) = -2*f(h) - 18*n(h). Determine t(z(r)).\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2855.32 + -2849.420004. Let o = x - 5.9. Round o to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -3*m**4 - 654*m**3 - 19053*m**2 + 109254*m - 89544 = 0.\nAnswer: -182, -41, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 38411 or 38420?\nAnswer: 38420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-18) - 25\/(-9). Suppose 0 = 2*g - 3*o + 5*o - 10, y*o - 6 = 0. Find the second derivative of -4*a**3 - g*a + 0*a - 3*a + 4*a wrt a.\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-4 + 6 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -8*m - 1. Let j(w) = -8*w. Give p(j(u)).\nAnswer: 64*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*g - g**2 - 9*g**2 + 2*g**2 wrt g.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.339469 + -0.0166?\nAnswer: 2.322869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6820 and 1395.\nAnswer: 61380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-72))\/(3663\/230769)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/5718286 and 40\/7.\nAnswer: 5718286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 28 + 1 + x.\nAnswer: x - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 2*a - 1. Let v be z(-2). Let p be (v + 2)\/((-3)\/6). Is 45 a factor of (-146)\/p - (-3 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/7))**(-31\/4)*(n\/(n*n**(-2\/5)))**(1\/7) assuming n is positive.\nAnswer: n**(-21\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/(1\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 + c + 1. Let f be v(-1). Suppose 5*d - 75 = f*d. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -22 (b) -1 (c) 36.6 (d) 1\/18 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2. Let s be i(-4). Calculate the greatest common factor of 48 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -12*g + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 687 + -677. Is 2 >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 1451*h - 297454. Give u(205).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*z - 27 = 5*z, 78 = 4*r - 2*z. Suppose -3*f + 49 + 14 = 0. Calculate the lowest common multiple of f and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -h**6\/1980 + h**4\/132 + 8*h**3\/3 + 9*h**2. Let r(l) be the first derivative of f(l). Determine u so that r(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 3*s + 24. Let h be g(7). Which is the fourth smallest value? (a) h (b) 2\/3 (c) -5 (d) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 7*m**2 + 7*m + 3. Let f be j(6). List the prime factors of f\/3 - 3\/3.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(2*x - 2*x - 2*x) - 153*x - 34*x + 40*x + (1 + 1 + 0)*(x + 4*x - 3*x) + 3 + 2*x - 3.\nAnswer: -143*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -873683*g**2 + 873683*g**2 - 2 + g**3.\nAnswer: g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 774*l**2 + 3*l + 8. Is t(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 8*i + 26. What is the remainder when v(8) is divided by ((-28)\/8)\/((-2)\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33080027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -4 + (-2 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.897065 rounded to one dp?\nAnswer: -26.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6*(-6)\/45)\/((-4)\/(-50)). Solve i = -i - u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1697\/43 - 13447\/344. Factor q*t**2 - 3\/4 + 3\/8*t.\nAnswer: 3*(t - 1)*(t + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - -22.9. Let n = 22.9 - l. Put 0.5, n, -9 in decreasing order.\nAnswer: 0.5, n, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 191 (base 12) to base 7.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46860 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 6*u - 14*g + 15*g = 17*g + 40, 2*u - 4*g = 16 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 131375723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 65432250 and 47111220?\nAnswer: 1177780500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0)*-1 - 198\/22.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2547437 rounded to the nearest ten thousand?\nAnswer: 2550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63435?\nAnswer: 3, 5, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 16*p**2 - 2*p + 10. Let c be x(-16). Which is greater: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 21 = 3*h + 4*t, 2*h - 2*t = 30. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 3*t**4 + 88*t**4 + t**3 - 4*t + 0*t**3 - 2 + 7*t in the form f*t**4 + u*t**3 + w + b*t + x*t**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/240868 and 65\/481736?\nAnswer: 481736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/3472 and -43\/657324.\nAnswer: 18405072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-7)*-4*(-490)\/140. Solve 2*r - 4 = x*c, -6 = 5*c - r - 0*r for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -24 + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/5495532 and -61\/67712805.\nAnswer: 1895958540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 2:57 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3117.2 + 3461. What is v rounded to the nearest ten?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 24 = -5*m. Calculate the remainder when m is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o*(o**(-1\/3)*o)\/o*o)))**47\/(o\/o**(-2\/9)*o**(-4\/9)))**(-39) assuming o is positive.\nAnswer: o**(-9074\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 225161538 a multiple of 4886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -1\/12*s**4 + 0 - 5\/3*s**3 - 5*s**2 - s. Does 5 divide i(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2 - 4*q - 17. Is a(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10970 = 5*z - 4*z - 4*w, -4*z - 3*w = -43956. Suppose -4*a = -10*a + z. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -0*w - 8. Let m be (w\/3)\/(8\/(-12)). Is 32*m - (1 - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -98*y**2 + y - 1. Let q(g) = -99*g**2 + 2*g - 1. What is 3*q(v) - 4*w(v)?\nAnswer: 95*v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000130972 rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-2)*(-3)\/6. Calculate the common denominator of (z\/36)\/((-3)\/222) and 452\/(-24) + 2\/(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122476, -122472, -122468, -122464?\nAnswer: -122460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -9*z - 39. Let f be k(-2). Let a be 6\/f + -929923*208\/56. What is a rounded to the nearest 100000?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**6\/120 + k**5\/20 + k**3\/3 - 16*k**2. Give u(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90157294?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.48 - -3.7. Let d = u - -1.2. Let i = -0.07 + d. Round i to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 129.1 + -131.1. Suppose -d - 3*d - 148 = 0. Let p = 67\/2 + d. Which is the nearest to p? (a) x (b) -3 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 915968*l**4 - 7045054*l**2 + 2*l wrt l?\nAnswer: 21983232*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 4*v + 25, 5*z - 25 = -v - 2*v. Let m = -2 + z. Let p(b) = 4 - b - m - 1. Let i(u) = -4*u. What is p(i(n))?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - 4*f + 15498 - 15517, 5*c + 19 = f for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -12 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**2 + 36*v - 31. Calculate n(10).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(4\/3)*w**(-7)*w**(-6)\/w**(-6))\/(w**8\/(w\/(w**(-1\/15)\/w*w))*(w**(-2))**(-19\/5)) assuming w is positive.\nAnswer: w**(-96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2012 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: Is 5816387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -46793900 to the nearest one million.\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 10. Let a = -7.8 - z. What is a rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l**3 + l**4 + 2*l + l**2 - 3*l**3 + l**4 to a*l**4 + h + q*l**2 + f*l**3 + i*l and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 2011011221110122?\nAnswer: 2011011221110210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 6:34 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -124664 + 34781320\/279. What is the common denominator of s and -69\/434?\nAnswer: 3906","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m**2 - 5*m + 5. Let o be 464\/80 - 28\/35. Let h(v) = 3*v**2 + 6*v - 6. What is o*h(b) + 6*q(b)?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 609155 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13455110533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 342323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02306 plus 36.351?\nAnswer: 36.32794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 702*z**3 + 2*z - 521 wrt z.\nAnswer: 4212*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/6)\/((-26)\/(1092\/98)). Sort -1, 1, n, -4, -92 in descending order.\nAnswer: 1, n, -1, -4, -92","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101011110 (base 2) to base 14.\nAnswer: 1b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 5*d - 25. Suppose -d*f + 2*u - 27 = u, -4*f - 2*u - 30 = 0. Is 3 a factor of (f\/(-4))\/(3\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 305622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 77099841 to the power of 1\/3, to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35 and -65\/2176?\nAnswer: 2176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (24\/21)\/(5 - 2514\/168). Let w = d + 7\/31. Let j = 1 + 20. Which is the second smallest value? (a) j (b) 3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 151 - 148. Solve 4*f - 26 = -s - 7, 2*s + 6 = x*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 68*l - 530. Give i(-59).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)*-3*-6 - sqrt(33))\/(3*sqrt(3)*-2).\nAnswer: -17*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a + 6. Let b be s(-7). Is 4 a factor of (-1)\/b + (-7)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 31\/2, -3\/5, -12\/7?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6404\/14 - -2 - (-3)\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5*sqrt(110)*2 + sqrt(110))\/(1*sqrt(250)).\nAnswer: -9*sqrt(11)\/5 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (28\/(-10))\/(1\/(-5)). Let x = 2 + t. Let d = -3 + x. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 8:45 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1105652, -2211316, -3316980, -4422644, -5528308, -6633972?\nAnswer: -7739636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + s. Suppose s*o + 13 = o. Suppose 5 = 3*d - i, 3*i = 3*d - 2*i - o. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 1\/11 (b) 0.29 (c) 2\/9 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -13. Let q = -30902\/3 + 10306. Which is smaller: q or a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 64 = -286. What is the remainder when g is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 48 = 4*m + 6*l, -2*m - 29 = l - 17 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2. Let c(n) be the second derivative of n**3 + n. Give c(a(z)).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.658 - -0.158. Let j be ((1 - 5) + 2)\/(10\/(-25)). Suppose -z = -d + 2*d - j, -8 = -4*z + 2*d. Which is the smallest value? (a) z (b) 0.04 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5308481 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 317*m + 8252. What is n(-26)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 - -24. Is -2\/91 at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 2*g**7\/105 - g**6\/15 - 3*g**2\/2 - 1. Let b(l) be the second derivative of j(l). Suppose b(v) = 0. What is v?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 7. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*n = 25*n. Suppose i + 1 - 7 = n. Suppose i - 20 = -k. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 2*y - 39. Suppose 7*r = 211 - y. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*v + 1 = 0, 3*z = -4*v - v - 11. Which is the second smallest value? (a) -1.5 (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 1253.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((-9)\/5 - (-1410)\/450)*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 2\/7, -0.4, -304, -0.001, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31257419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -273689 and -273633 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2703973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 383, 493, 603, 713, 823, 933?\nAnswer: 1043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.5 + -4. Let w = i - 8.8. Let k = w - -6.15. Sort 2\/7, 5, k.\nAnswer: k, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 4*i - 10, -5*i - 3*r + r = 4. Suppose i = l + 2*l + 27. What is the tens digit of 2\/(-6) + (-165)\/l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 3*x + 5*x - 5.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36894271?\nAnswer: 36894271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000117557445 to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/891 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 2*t - 3*t)*((2*t - 2*t + 2*t)*(5*t**3 - 2*t**3 - 2*t**3) - 4*t**4 + 0*t**4 + 0*t**4 - 53*t**4 + 53*t**4 + 92*t**4).\nAnswer: -360*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/51*(-2)\/(-6)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144508171.\nAnswer: 193, 751, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, p: 1, q: 3, w: 1, v: 1}. What is prob of sequence kv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 11, r: 1}. What is prob of picking 3 p?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + 3 + 5*-3*(3*sqrt(147) - sqrt(147))*-1*-2).\nAnswer: -2100*sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -9. Suppose 3*o - 9 = -y*o. Factor 6\/11*g - 4\/11*g**2 - 2\/11 - 4\/11*g**o + 6\/11*g**4 - 2\/11*g**5.\nAnswer: -2*(g - 1)**4*(g + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56413 - -83734. List the prime factors of t.\nAnswer: 3, 7, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1847696142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1185908?\nAnswer: 2, 296477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h. Let v(s) = 2*s**2 + 5*s - 4. Let d be v(-4). Suppose -4 = -3*t + d. Let o(a) = 16 + t*a - 16. Give k(o(b)).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 l when three letters picked without replacement from {f: 5, d: 1, n: 2, y: 1, l: 5, x: 1}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 405 and 225.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 364, 719, 1062, 1393?\nAnswer: 1712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2060 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 17*10\/(1 + -3). Let w = 9332 - 9233. Let g = w + t. Solve 2*b + 13 = 2*r + 1, 0 = 3*r + 5*b + g for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*q - 34*q + 33*q - 5*q**2 - 3*q**3 as o + l*q**2 + a*q**3 + g*q and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 5. Suppose -5*h = -3 + 8. What is the second smallest value in h, f, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 760 greater than 2519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -44*a**2 + a + 2. Let w be i(-2). Let d be (1\/6)\/((-1)\/w). Let n = -29 + d. Sort n, -0.1, 4\/5, -3\/7.\nAnswer: -3\/7, -0.1, n, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 42659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -860 - -9454\/11. Let u = -264 - -384. Let o = 124 - u. Which is the third smallest value? (a) -1 (b) z (c) 1\/6 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*u**3*w**4 - u**3 + 4*u**2*w**3 + 40*u*w**4 + u*w**2 - 1079*w**2 wrt w.\nAnswer: 96*u**3*w + 24*u**2 + 960*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 602*a**4 - 372*a**3 + 14*a**2 - 21335810 wrt a?\nAnswer: 2408*a**3 - 1116*a**2 + 28*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5*w + 4 - 21 = 0, 0 = -3*k - 2*w - 14. Let f(n) = 2*n - 6. Let c be f(k). Let x be (-4)\/7 + (-162)\/c. Solve 0*z + 1 = -z, 5*t = -z - x for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 114832552?\nAnswer: -114832552.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -6*g - 17. Is f(-8) 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 2755300?\nAnswer: 2, 5, 59, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 46782.54 tonnes?\nAnswer: 46782540000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/(880\/(-75))*64\/(-12).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 0*a - a)*(0*a + a - 3*a)*(-44 - 102 + 5*a + 119).\nAnswer: -20*a**3 + 108*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.92 - 0.08. Let n = 77.7 + -71. Let s = n - 7. Sort s, 0.5, f in descending order.\nAnswer: 0.5, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/13298 and -103\/41420?\nAnswer: 2526620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 7:17 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 7*x = -10. Suppose a - 3*v + 9 + 11 = 0, -5*a - 4*v - 5 = 0. Let p be a + x - -7*1. Solve -p*j - j = -15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5658 + 3345. Let n = -1471 - u. List the prime factors of n.\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 187 and 44761?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + (-538)\/(-4) + (-2)\/(-4). Suppose -w = -5*w + 592. Suppose -3*c + 15 - w = -2*p, -2*p - 2*c = -b. Is p a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 637 + 217 - 9600*p - 9425*p**3 + 1200*p**4 + 586 - 45*p**5 + 9775*p**2 + 9075*p**2 = 0.\nAnswer: 1\/3, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 142*l**3 + 10*l - 160. Let g(a) = -143*a**3 - 12*a + 160. Let h(v) = -5*g(v) - 6*q(v). What is the derivative of h(f) wrt f?\nAnswer: -411*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*g + 63 = 82*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/(l**(2\/7)\/l)*l))**(1\/20)\/(l**(-4\/3)\/l)**(-44))**31)**(-6\/35) assuming l is positive.\nAnswer: l**(668918\/1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 4*i - 584. Let h(o) = o**2. Determine v(h(x)).\nAnswer: x**4 - 4*x**2 - 584","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -84 + 75. Let b(w) = 4 + 5 - 1 - 3*w. Is 20 a factor of b(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 10*u + 11. Let p be m(-9). Suppose p*s = -4*t + 800, -4*t + 776 = -3*s - s. Does 33 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, h: 3, j: 1, c: 1, k: 1, w: 3}. What is prob of sequence hwj?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 3*s - 5. Let o be y(5). Solve 3*h = -o*x + 19, 5*x - 31 = 3*h - 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4070 = -4*j, 7*j - 5*b - 5095 = 2*j. What is the highest common divisor of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17632\/15 + 1176. Let m = 1048\/11 + -6937\/66. Find the common denominator of b and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2054*d - 24. Let a(u) = -6162*u + 74. Let c(v) = 4*a(v) + 11*y(v). Let z be c(8). Round z to the nearest one thousand.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 3254?\nAnswer: 2\/1627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2555, 2530, 2495, 2450, 2395, 2330, 2255?\nAnswer: 2170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 - 60*j + 248. Let s be q(25). Let u(x) = -16*x + 9. Give u(s).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -145621 (base 8) to base 7\nAnswer: -304635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 818707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 46*h - 47*h - 5*a, 77*h - 152*h + 3*a - 11 = -76*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1693 - 5142 = -310*t + 2441 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 32, 5, 8111, 4 in descending order.\nAnswer: 8111, 32, 5, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*j + 14*j - 26. Are j and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 9*k**2 + 8*k + 11. Suppose -5 = -3*c - 29. Does 3 divide l(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/13 (b) 1 (c) -2 (d) -0.1 (e) 44\/189\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 254.53151 * -0.7\nAnswer: -178.172057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -5. Suppose -14 = h*f - 20. Suppose -5*r - 81 = -4*m, -3*m + f*r + 3*r = -67. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 657722.5nm to meters.\nAnswer: 0.0006577225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(32 - 22) + 16\/6. Let o(g) be the first derivative of -5*g - 21 - 9\/2*g**2 - p*g**3. Let i(w) = -4*w**2 - 5*w - 3. Calculate 5*i(a) - 3*o(a).\nAnswer: 4*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -10*n**2. Let u(j) = 9*j**2. Calculate b(u(p)).\nAnswer: -810*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -36961 < -36962?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + d - 11. Give o(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 + 2 - 2. Let q(v) be the second derivative of 0*v**2 - 4*v - 5\/6*v**3 + 0. Calculate n(q(p)).\nAnswer: 50*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 55961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4*d + 8 = 0, -2*d = -4*a - 5*d - 4. Suppose -a = -y + 1. Sort 0, y, -1.\nAnswer: -1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 - 2*t + 2. Let p(m) be the first derivative of 2\/3*m**3 - 2*m + 3\/2*m**2 - 1 - 1\/4*m**4. Determine 2*p(i) + 3*u(i).\nAnswer: -2*i**3 - 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8668013?\nAnswer: 29, 298897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 + 40*k + 76.\nAnswer: (k + 2)*(k + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.5 + -20. Let c = 6.50062 + t. Round c to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of 0 - 7\/40*q**4 - 1\/10*q**3 - 2\/25*q**5 - 2*q**2 + 2\/25*q**6 + 0*q. Find o such that h(o) = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -1\/4, -15, 9, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4*b + 36, -4*b - 3*i - i = -32. Let k be 7\/(-2)*(2 - b). Let f be 1 - (6\/k + 0). Which is bigger: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - f + 19 = 0, 132*b + 3*f + 3 = 137*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 23?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53817 by -17939.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 + 7)*(8 - 9 - 15)*(3*j - j + 0*j) to r + a*j and give a.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**3 - 209*q**4 + 2*q**5 - 4 - 275*q + 0*q**3 + 10819*q**2 + 10847*q**2 - 21665*q**2 wrt q?\nAnswer: 120*q**2 - 5016*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -38, -22, 28, 130, 302, 562?\n\"Answer: 3*f**3 - f**2 - 2*f - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) -18 (c) -4\/7 (d) 2\/21 (e) 0.11 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -25 - (57 - (129 + -59)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r + r + 3*r)*(-2 + 8 - 9) in the form o*r + y and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -104 (base 7) to base 13\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30459 - -45603. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(21)\/sqrt(112).\nAnswer: -5 + sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-two fifths of a hour?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 360*q - 65846. Determine u(183).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + (4*3*(sqrt(147) + -2 + -3))**2).\nAnswer: -10080*sqrt(3) + 24773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 8*r**2 - 5*r + 7. Let x be s(-3). Let m = -96 + x. Which is the nearest to m? (a) -0.1 (b) -2\/3 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**7\/840 - m**5\/30 - m**4\/4 + 4*m**2. Let q(r) be the second derivative of w(r). Find the first derivative of q(c) wrt c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -28*c**3 - 3*c + 15. Let d(f) = 55*f**3 + 5*f - 31. Let i = -83 + 88. Let j(v) = i*w(v) + 3*d(v). Differentiate j(n) with respect to n.\nAnswer: 75*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence idi when three letters picked without replacement from tddii?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-34)\/(-9) + (-8)\/(-36). Suppose -w*q + 206 = -110. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**2 + 54*r**2 + 52*r**2 - 39*r**2.\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22410 and 171990?\nAnswer: 14275170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17069232 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3\/4 - 1666377*o**2\/4 - 231421853817*o\/4 - 5784504906675\/4.\nAnswer: -3*(o + 25)*(o + 277717)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -190*c**2 + 312*c**2 + 1185*c**2 to m + u*c**2 + o*c and give u.\nAnswer: 1307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*s - 0*l + 5*l, 42 = 4*s - 3*l. Suppose -4*i + i = -261. Let a = -6 + i. Calculate the greatest common divisor of s and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -149900, -299790, -449680, -599570?\n\"Answer: -149890*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-10)*14 - (-6696)\/5115. What is the nearest to -6\/11 in 42, -0.3, g, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) -0.82 (c) 2 (d) 3 (e) -245 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**3 - 3*s**3 + 6*s**3 + 4*s**4 + (-s**3 + s**3 - 3*s**3)*(-5*s + 3*s - 6*s) to the form d*s**4 + f*s + n*s**3 + o + u*s**2 and give d.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 84 - -150. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -7*a**3 - 6*a**2 - 9*a - 49. Let x be k(-6). Sort 2, x, -3 in decreasing order.\nAnswer: x, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cmmvccvvuucyacvvuuu. Give prob of picking 1 v and 2 u.\nAnswer: 50\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*t = -0*p + 231, -4*p + 222 = -2*t. What is the highest common factor of 36 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 0 + -1 + -5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - d = -12. What is the second derivative of 10*i - d*i**3 - 3*i - 6*i**3 + 7*i wrt i?\nAnswer: -48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/8463 and -12\/91?\nAnswer: 8463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*h + 39*h + 2*h**2 + 21 in the form a*h + s*h**2 + u and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = -155*g + 138*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/6 in 5, 298, 1, 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 4*c**2\/3 - 148816*c\/3 + 14989612\/3 = 0.\nAnswer: 101, 37103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/55, 0.1, 3\/4, 5 in descending order.\nAnswer: 5, 3\/4, 0.1, 1\/55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 6*y. Let m be c(4). List the prime factors of m + (-9)\/6*2.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 4*z**2 - 8*z + 12. What is s(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 869\/3 (b) 0.3 (c) 2\/9 (d) 1\/2 (e) 182\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1218931461.\nAnswer: 3, 11, 12312439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101226 and 1092.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.3, 1\/7, -2\/5, 12, -0.03?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j. Let b(z) be the third derivative of z**5\/30 - z**4\/24 + 989*z**3\/6 - 83*z**2 - 23*z. Determine f(b(u)).\nAnswer: 4*u**2 - 2*u + 1978","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 11:10 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + sqrt(77)*-2 + sqrt(77))*1)\/sqrt(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(8)\/sqrt(2))*-5.\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (4 - -4 - 18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2925592 is divided by 2213?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 21*y - 92. Let m(s) = -18*s + 93. Calculate -2*b(h) - 3*m(h).\nAnswer: 12*h - 95","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u + 13*l + 100680 - 101504, -2*u - 250 = -4*l for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/20 - (175\/36)\/(-5). What is the closest to -1 in u, 0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 105.362 - 105. Let u = 0.062 - c. What is the second biggest value in 2\/5, u, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a hour in seconds?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 5:34 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9963831389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 32 = -c. Let z(w) = w**3 - 8*w**2 - w + 4. Let k be z(c). Let a(j) = 0*j + 1 - 4 + j. Determine a(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.67 + 7.87. Which is the nearest to -1? (a) 11 (b) 2\/13 (c) 12 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/54*(-117)\/(-26)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in -5, -0.076, 2\/13, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2277\/4, 0.09 in increasing order.\nAnswer: 0.09, 3, 2277\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 3*w + 10. Let p be u(-8). Suppose 0 = -5*a + 7 + p. Solve 3*j = 3*n - a, -n = 4*n - 3*j - 29 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -10*x**2 - 8*x + 17 + 6*x**2 - 50*x. What is the tens digit of s(-17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232162*m**3 - 693481*m**3 + 232163*m**3 + 229161*m**3.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-300)\/(-400)*(-112)\/(-245)*10\/4?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1307189 and 16151.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3162 and 714.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (2\/5)\/(7\/105)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of q**4\/3 + 20*q. Let j(k) = 2*k. Determine d(j(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -91851 or -183703\/2?\nAnswer: -91851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -451.732544 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 (base 9) in base 11?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 0 + 0*w**2 + 0*w**5 - 2\/21*w**7 + 0*w**4 + 3*w + 0*w**6 + 19\/6*w**3. Find the second derivative of o(u) wrt u.\nAnswer: -80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 - 23. Suppose h + x - 5 = 0, z + 1 = 5*h + 4*x. Solve -h*i = -i + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 8*g**5 - 210*g**4 - 1954*g**3 - 5088*g**2 - 4984*g - 1632 = 0.\nAnswer: -4, -2, -1, -3\/4, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + -69747.\nAnswer: -69747.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 - o. Let y be v(-1). Suppose -3*l + 6 - y = 0. Solve -2*i + 0 = -3*h - 1, -i = -3*h + l for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2221296?\nAnswer: 2, 3, 7, 11, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.129281 to three dps.\nAnswer: -0.129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5244 + 167 = 285*x - 3945 + 521 for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 1\/12 (b) 0.3 (c) -4 (d) -33 (e) 78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*y = 7211, -2333 - 1274 = -2*w + y. List the prime factors of w.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3*(sqrt(1539) + 2 + 4))**2.\nAnswer: 972*sqrt(19) + 14180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*g + 47 = -15*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 4:34 AM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is cc3 + -6?\nAnswer: cba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a + 2. Let r(s) = -16*s - 9. Give 2*r(g) + 9*t(g).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 0. Suppose -j + 15 = s. Suppose 8 = 4*l - 12. What is the remainder when s is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1507 + -1271.4. Let o = 192 - w. Let y = -39 - o. What is y rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000157 rounded to 5 decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + -4)*26\/(-65). Suppose 3*s - k = 79. What is the highest common factor of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (12 - 11)\/((0 + -1)\/(-1087)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 480609 is divided by 428?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 1)\/(1*4\/6). Sort b, -2, 4, -5 in decreasing order.\nAnswer: 4, b, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 0*k + 128092 = -92062. What is the hundreds digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2\/2 - 16395*u\/2 - 32766.\nAnswer: -3*(u + 4)*(u + 5461)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3450.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.1 (b) -8\/51 (c) -16 (d) -0.44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.814 + 0.944. Let i = r - 0.13. What is the second smallest value in 0.1, i, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 2*b**3 + 5*b**2\/2 + 2*b + 708. Let s(k) = 4*k. What is c(s(g))?\nAnswer: 48*g + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*f**3 + 5*f**3 - 17*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cwqozzszzwwzqzzz. What is prob of sequence qcsw?\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x**2 - 3*x + 4. Let t(r) = 3*r**2 + 2*r - 3. Suppose -3*b + 2*l + 464 = 7*l, 3*b = -3*l + 462. Let f = -157 + b. Calculate f*t(g) - 3*y(g).\nAnswer: -3*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 9:13 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*k + 2*q = 0, q + 2*q = 0. Is 1\/66 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*r - 22, -5*u + 20 = r + 4*r. Let l be 2\/(-4)*(0 - r). Suppose -4*f + 15 = f + 5*m, -f + 7 = -l*m. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 183 - 100. Let x = w - 52. Calculate the remainder when 75 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (23 + -17) - (-4 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11435 from -376.\nAnswer: -11811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -34*k**2 + 3. Let w(h) = h**2. Determine w(t(a)).\nAnswer: 1156*a**4 - 204*a**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 229\/7 - (-1 - (-15)\/21). Solve 4*m - u = 5*l, l - 5*m - 1 = -8*m for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 4) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 201\/67*(-7)\/3. Let b(x) = -8*x**3 - x**2 + 3*x. Let p(i) = -17*i**3 - 2*i**2 + 7*i - 1. Calculate d*b(m) + 3*p(m).\nAnswer: 5*m**3 + m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78228 and 2542.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.7 in 1\/3, 2\/5, 50, 13?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 73409126.89 to the nearest one hundred thousand.\nAnswer: 73400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 422 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6275\/(-375) + (-6)\/10. Is -18 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/13 and -43\/3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -5426085 at least as big as -5426076?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*r**2 + 19 + 11*r**2 - 17*r**2 wrt r?\nAnswer: -32*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + d + d)*(8*d - 149*d + 3 + 47*d).\nAnswer: -94*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 21724 = 4*c, -p + 37*c = 35*c - 5440. What is the greatest common divisor of p and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 5*d**2 - 10*d - 4. Let s be i(-6). Solve -6*u + u + s = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*g = 58 - 49, h - 4*g + 12 = 0. Solve -2*b = -h*w + 4*w - 2, 0 = -3*w + 4*b - 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -26 + -7518?\nAnswer: -753e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 73776720 and 2920.\nAnswer: 73776720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259*j - 262*j + 6 = 0. Suppose 2*d - c + 240 = 3*d, 0 = -3*d - j*c + 716. What is the remainder when d is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/((-564)\/(-196) + -3)*3. Let s be (1 - (-18)\/(-14)) + 2093\/h. Let o = 124 + s. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*p + p + 9 - 3*p)*((4 - 2 - 4)*(3 - 4 - 1) + 0 + 3 - 1 + 2 - 1 - 6) to o + y*p and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28319677 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 12*c - 7. Let s(v) = -2*v**3 + 96*v**2 - 3*v + 155. Let y be s(48). Give h(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000211 to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 2, -76, -2 in increasing order.\nAnswer: -76, -43, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - w - 11, 13 = 2*x + x + w. Let l(h) = h**2 - 10*h - 15. Let f be l(12). Let n be f\/(-3) + 1*3. Solve 3*s = 3*z - x, -z = 3*s - n*z + 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4 - (3 + 264272\/(-37756)) and -12\/11?\nAnswer: 103829","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 504*q + 2858. What are the prime factors of d(-3)?\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + o + 28 = -0*o, -5*m + 46 = -4*o. Let w(g) = g**3 - 5*g**2 - 4*g - 6. Let t be w(m). Is 41 - (4\/6)\/(4\/t) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/5, -1\/10, -3, -1\/2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyypysypypyyysysyy. What is prob of sequence sp?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 39*n**2 - 82*n. Let s be w(41). Let g(o) be the second derivative of -1\/42*o**4 + 8\/21*o**3 - 16\/7*o**2 + s - 10*o. Factor g(c).\nAnswer: -2*(c - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -66*p**3 - 8*p**2 - 21*p + 21. Is l(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 12 = 18. Let j = 6 - 3. Let v = 4 - j. Is f less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68*5\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 16 + 17 + 14 + 26 + -99\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-8)*(191 - 1). Let o be 1\/(5\/(-2))*x. Let p = o - 21. Solve 14 = -2*n + 2*r - 0*r, -5*n - 4*r = p for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*z + 5965 + 409 = 197 - 2095 for z.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j = -18*j + 12. Suppose -j*a = 3, 6*c - c - 23397 = -3*a. Round c to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phllhjpq. Give prob of sequence llp.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12044441 + -2133?\nAnswer: -12102124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d = -2*b + 4, -4*d = -5*b - 32. Suppose 0 = -v + 6 - 1, -d = -u + v. Solve 2*z = -5*o + 6, -2*z + u = -z + 5*o for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 371, 376, 393, 428, 487, 576, 701?\nAnswer: 868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 - 0.13. Which is greater: 2\/19 or u?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -115 - -286. Let k = c + -150. Solve k = 3*b - 6*b - 3*d, 0 = -3*b - 5*d - 31 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.11, -17, 26, -0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1029881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qza when three letters picked without replacement from {z: 1, a: 2, w: 2, e: 2, q: 2, i: 10}.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*l + 0*l + 54 = 0, -l = -5*c + 98. Solve 5*s = s - c for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 4\/13, 5, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*u - 905. Let h(b) = 2*b**2 + 64*b - 17. Let o be h(-39). Suppose -o + u = -4*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 272552, 545073, 817598, 1090127, 1362660, 1635197, 1907738?\n\"Answer: 2*u**2 + 272515*u + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 31*f + 128. Let t(z) = -7*z - 32. Calculate -2*m(i) - 9*t(i).\nAnswer: i + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 11. Let i(r) = -2*r**2 - 2*r - 22. Let h(d) = 4*i(d) - 7*q(d). Calculate h(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75443269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (176\/2464)\/((-2)\/(-2))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*r = -31*r - 37815. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -102560484?\nAnswer: -102560488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avav when four letters picked without replacement from {v: 6, a: 6}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 19*x**2 - 2*x - 38. Let i be d(-19). Suppose i = 9*y + 7*y - 8960. Is 65 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (60\/8)\/((-2)\/(-220)). Let y = s + -818. Let i(h) = 5*h + 15. Let q(t) = -2*t - 7. Give y*q(z) + 3*i(z).\nAnswer: z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 1. Let r = 427 - 1707\/4. What is the closest to 1 in r, q, 2\/19?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19935)\/33225)\/((-8)\/(-20)*(-1)\/(-68))?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.070576317 rounded to 5 dps?\nAnswer: 0.07058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7571100 (base 8) to base 13.\nAnswer: 560175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 4*t + 3. What is the least common multiple of p(5) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 117569957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 17 = 3*n, 3*t = -0*t + 6 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1200, -1153, -1252, -1569, -2176?\nAnswer: -3145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 z when four letters picked without replacement from {q: 2, z: 2, y: 1, m: 1, w: 12}?\nAnswer: 22\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4049763 and -10.\nAnswer: -4.049763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 1\/32864272?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1080756985 to the nearest integer?\nAnswer: 32875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33861*h**2*z**4 + 21*h**2*z + 9*h**2 + 3*h*z**4 - 59*h*z wrt z.\nAnswer: -406332*h**2*z**2 + 36*h*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*y = -155*y - 410. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 15, 4*u = -u - o + 20. Suppose -3*t + 4 = -2*t. Put u, -5, t in increasing order.\nAnswer: -5, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 43*n**2 + 455*n - 16. Let k be v(-19). Sort 1, k, -1, 988 in descending order.\nAnswer: 988, k, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3663 and 48081.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2 + 3\/2*q + 1\/4*q**2 = 0. Calculate q.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2584 = -b - 4440, 3*j = -3*b + 10527. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 2*v. Suppose 3 = 4*c - 5. Let o be t(c). Let f be 98\/(-931) + 4\/399. Which is smaller: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (sqrt(19) + sqrt(19) + (sqrt(171))**2)*-5 - -1*sqrt(19)*-6) + (sqrt(228)\/(sqrt(12)*-2) - (-4 + sqrt(475))**2).\nAnswer: -1346 + 49*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -678, -1244, -1814, -2388, -2966?\nAnswer: -3548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -302 (b) 4\/29 (c) 5 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*p + 17, 0 = 4*j - 7*j - 3*p + 21. Suppose -3*i + 2*k + 21 = 5, j*k = 3*i - 26. Solve 0 = 8*h + i + 38 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)\/(sqrt(576)*-2))\/(sqrt(21)\/(sqrt(7)*2) + sqrt(48)*-5).\nAnswer: sqrt(3)\/312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10076 is divided by 2500.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.273 to 1 decimal place.\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/7, -2\/3, 147?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 13 = -3*z - 2, z + 5 = 4*f. Suppose w - 5*d = f, 0*w = 2*w - 3*d - 14. Suppose 2*h = -3*h + w. Solve h*o + 3*o + 25 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000016153 rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.0660219 kilometers?\nAnswer: 6602.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 3. Let f(o) = 6*o**2 - 2*o + 4210 - 2116 - 2097. Let r(y) = y**2. Determine u*f(k) + 5*r(k).\nAnswer: -k**2 + 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 10*h**2 - h - 13. Let d be s(-9). Is -1 + 12*d + 0 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -3 - -31) + -37.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 225112046 - 17333929013\/77. Let j = 3915 + x. Calculate the common denominator of 17\/35 and j.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5*(-1 + sqrt(52)) - sqrt(104)\/(sqrt(200) + 1*sqrt(200) + sqrt(200))*6)**2.\nAnswer: -288*sqrt(13)\/5 + 30177\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8283 and 432971737.\nAnswer: 2761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kokkvkkoccccvkvkk. Give prob of picking 2 k and 1 o.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*o - o**2 + 4*o**2 - 70*o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*z + 12 = -47*z. Which is greater: z or -174?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (3\/6 - 0)*-2. Suppose 5*t + 105 = 5*p - k*p, p - 11 = 3*t. Calculate the greatest common factor of 91 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.15585464 rounded to 3 dps?\nAnswer: -6.156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 8*w**2 - 6*w + 1. Let c(r) = -9*r**2 + 29*r**3 - 30*r**3 - 9*r + 3 - r**2. Let x be c(-9). Suppose x*q - 16 - 5 = 0. Determine i(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p - 1. Let v be o(1). Suppose 2*h = -v*h + 8. Suppose 2*a + 2*a - 48 = -h*c, 4*a - 69 = 3*c. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1541 is divided by 171.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.6 minus -255487?\nAnswer: 255550.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7188173095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.209 - 3.769. Round i to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25*0.3.\nAnswer: -7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 236\/3 (b) 4 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 122, 212, 312, 416, 518, 612?\n\"Answer: -j**3 + 11*j**2 + 64*j + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a63 - 418?\nAnswer: 64a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/2 + (-91)\/78. Suppose 0 = -9*x + 8*x + 2. Find n, given that 0 + j*n + 1\/3*n**x = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 70044 or 69837?\nAnswer: 70044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5105.011187 - 5105. Round r to 4 dps.\nAnswer: 0.0112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 74980.\nAnswer: 74980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 9) to base 2.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 81499723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from iiitiiteiiieietqei.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/11, -0.4, -3, 721?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-3 + 2)*-2*12\/(-36))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/18*(0 - 0). Suppose 3*z + 10 = -i, -2*i - 4*z - 10 = -f*i. Solve 2*q - 30 = -i*t, -3*t - 3 = 4*q - 7*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 - 141 = -31*f. Solve 10 = -4*m + f for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.0258, 0.05, -0.5?\nAnswer: -0.0258","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2016 + 2848. Does 38 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 24803 = -5*s, 0 = -5*a - 3*s + 64224 - 22897. What are the prime factors of a?\nAnswer: 2, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -197 and 1.2385 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31\/((-217)\/42)*((-25)\/5)\/(-40).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (354\/20355)\/(2*1\/10)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zek when three letters picked without replacement from nkzgeej?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 2:00 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 3*k + 4. Let x be o(3). Suppose -v + 30 = 2*w, 5*v + x = 2*w - 8. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*d + 10 = -4*u, u - d - 2 = 0. Suppose 2*g + g + 24 = u. Let t = g + 11. Solve -l + 8 = t*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 52 - 3 = 0. What is the greatest common factor of 88 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 5*g**2 + 13. What is i(8)?\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 14 = -m, 5*u + 0*m + 20 = 5*m for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 249, 400, 505, 558, 553, 484, 345?\n\"Answer: -s**3 - 17*s**2 + 209*s + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 16 = 4*v. Let n(o) = 10*o - v*o**2 - 6*o - 1 - 5*o. Suppose y + 0 + 2 = 0. Calculate n(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 10:25 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j - 16 = -9*j, g = -4*j - 17. Is g at most -48\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 2:58 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -603 (base 7) in base 15?\nAnswer: -14c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22185)\/2175 + (-1239)\/(-245).\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*y - 0*y + 7, 5*n + 27 = 3*y. Solve -4*q - 10 + 0 = -3*i, 0 = 3*i + y*q - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16078144 + 11096277. Let x = 11831867 + z. What is x rounded to the nearest 100000?\nAnswer: 6900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7505734589 to the nearest integer?\nAnswer: 1958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**4 - 18*d**3 + 372*d**2 + 3328*d + 6720 = 0.\nAnswer: -15, -4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.045 - -53.045. Let j = 24 - y. Let o = -28.99999948 - j. What is o rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/117 and 97\/468?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - (6 + -6 + -6). Suppose a = -3*n + 21, -b*n + 77 - 3 = 4*a. Solve -a*o = -23*o - 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.617951*347\nAnswer: 214.428997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/5, -2, 42?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -152770\nAnswer: 30554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*s**2 + 33 + 9*s**2 - 31 - 17*s**2 + 58*s**2.\nAnswer: 84*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 888 and 94985808.\nAnswer: 94985808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 341, 701, 1061?\n\"Answer: 360*h - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -320, -1315, -3030, -5519, -8836, -13035?\n\"Answer: -9*y**3 - 306*y**2 - 14*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/297*2)\/((36\/(-162))\/1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 105292.8 kilograms in nanograms?\nAnswer: 105292800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -6 - -10) + -4 - 8\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11367, -11395, -11457, -11565, -11731, -11967?\nAnswer: -12285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 56*a + 89. Let j be g(54). Put -2, 4, j in descending order.\nAnswer: 4, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14164 divided by 5939\nAnswer: -14164\/5939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 2*h - 30. Let l be y(-6). Let k be 1\/(-1 - l\/(-15)). Solve -5*r - 6 = 4*b, 0 = -4*r - 3*b + 1 - k for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 5 + 6*w**3 - 7*w**3 + 918507*w**2.\nAnswer: -w**3 + 918507*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1 = -t, -t - 2*i - 7 = -2*t. Suppose -o + 2*s + 2838 - 135 = 0, 8116 = t*o + s. Suppose 0 = 10*a - 5*a - o. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 + -26. Suppose -3*r + 5 = u - b, -4*r - 5*u = -28. What is the third derivative of 3*q**3 + 3 - 6 - 7*q**r + 3 wrt q?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149107 is divided by 1156?\nAnswer: 1139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20933, 41864, 62781, 83678, 104549, 125388, 146189, 166946?\nAnswer: 187653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 + 1470*v + 10388.\nAnswer: -2*(v - 742)*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-424))\/(-3)*57\/(13167\/308)?\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/((160\/(-440))\/((-2)\/11)). What is the closest to -5 in -3\/16, -1\/6, -0.5, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 29*z + 159. Let q(i) = -i + 9. Let b(f) = -6*q(f) - v(f). Calculate b(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z + 21*z = -r + 1208, -2016 = -5*z - 3*r. What is the remainder when z is divided by 58?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1011021 + -10?\nAnswer: 1011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 48, 38, 28, 18?\n\"Answer: -10*z + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.8 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34 by 23181.\nAnswer: -34\/23181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 - 28. Suppose -5*i = l*m + 1208 - 4358, -4*i - m + 2523 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**3 + q**2 - q**4 - 2*q**4 - 2*q**4 + 3*q**4 - 6*q in the form r*q**2 + p*q**3 + k + g*q + t*q**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65134789 divided by -1693.\nAnswer: 38473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1484373145 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*f + 12*s - 566 - 424 = 10*s, 5*s - 18 = -f for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**3 - 10*c**3 + 2*c**3 + 9*c**3 + 15*c**3.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in 4\/3, 1\/5, 0.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -417, 102 in descending order.\nAnswer: 102, -3, -417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 54395027 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-8))\/((-6)\/(-16)). What is the common denominator of 75\/8 and (-57)\/(-10) - o - -3?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 575227?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -245.81 + 247. Let b = 1.19289 - s. What is b rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 140 - 143. Let z(u) = -u**2 - 1. Let r(x) = 2*x**3 - 11*x**2 - 3. Determine h*z(n) + r(n).\nAnswer: 2*n**3 - 8*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00258792 to five dps.\nAnswer: -0.00259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - k - 117 = 0. Let r(o) = -o**3 + 7*o**2 - 5*o - 6. Let j be r(6). Let u be 13 + 0 + j - 0. What is the highest common factor of k and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11\/2 + 2\/(-4). Let p = 7 + j. Let h = -21 + 33. Calculate the least common multiple of p and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-99))\/(((-4)\/28)\/((-540)\/(-315))*6).\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, z: 2, d: 4, p: 3}. Give prob of sequence pd.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -24) + -28 - (-6 + -4 - -4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-26)\/(b*b**20)*((b**(1\/9)*b)\/b*b)**(-38) assuming b is positive.\nAnswer: b**(-803\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 5*y - 5. Let l(q) = -q + 1. Give 5*l(h) + r(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 + 117*a - 264*a + 115*a + 25*a**2.\nAnswer: a**3 + 25*a**2 - 32*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 6:56 PM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146985131?\nAnswer: 311, 593, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -420258 * -4.4\nAnswer: 1849135.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w + 19 = -35*w + 403 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4, -2, 16, 56, 124?\n\"Answer: h**3 + 2*h**2 - 11*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 8:59 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, 98, 104, 110, 116?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 1.7 (c) 64 (d) 0.49 (e) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*p + 16239 - 9065 = 0 for p.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11753 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 283 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -52, -97, -132, -157, -172, -177?\n\"Answer: 5*k**2 - 60*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2572*f + 625260 = -1042*f - 5581*f for f.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 726324.\nAnswer: 2, 3, 60527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 18 = 5*c. Let i be (0 - (0 + -1)*6) + c. What is the third derivative of 2*b**2 + 10*b**3 + 5*b**2 - 57*b**i + 13*b**3 wrt b?\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/120 and -29\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 7:30 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 677650, 2710700, 6099116, 10842898, 16942046?\nAnswer: 24396560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.02 - -6.02. Let s = -3 + i. Let o(p) = p - 5. Let q be o(7). What is the closest to q in -5, s, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggmiggimgimic. What is prob of picking 1 g, 1 m, and 1 c?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*q = -71*q - 16. Suppose 5*b + 0*b - 43 = -u, -q*u = -3*b + 12. Suppose b*a + 127 = y + 9*a, 5*y = -3*a + 635. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + i - 4. Give s(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276 is divided by 70.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.708748 rounded to zero decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -418548 divided by -139516?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 - -37. Let k = -75 + 217\/3. What is the third biggest value in c, -4, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 1\/5 (b) 0 (c) -0.4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 4*f**2 - 4*f - 1. Let j(x) = -2*x**2 - x + 3. Let p be j(-2). Determine q(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66023128.\nAnswer: 2, 8252891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7896793 take away 2.2?\nAnswer: -3.9896793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 d, and 1 b when four letters picked without replacement from {n: 4, b: 2, u: 3, d: 6, c: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.034243 - 0.0092496. Let x = 0.02 + 0.005. Let b = x - z. Round b to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 7*l**6 + l**2 - l - 114. Find the second derivative of f(q) wrt q.\nAnswer: 840*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4100?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 8:49 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 6:54 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -0*w - 4*w. Let i = 14584 - 14586. Which is the third biggest value? (a) w (b) i (c) -2\/3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 2*t**3 + 3*t**2 - 10 - 2*t**2 + 4*t**3 to a*t + v*t**2 + d*t**3 + j and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**5\/8 - 7*v**4\/4 - 1011*v**3\/8 + 3455*v**2\/2 + 31625*v\/2 - 37500 = 0?\nAnswer: -30, -8, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56114, 221, 5.\nAnswer: -56114, 5, 221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -9*b. Let t(c) = 140*c**2. Determine t(v(h)).\nAnswer: 11340*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.483 + 125.117. Round d to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/32 + 17\/352. Let o = i + -4\/33. Sort o, -2\/7, -4\/5 in decreasing order.\nAnswer: o, -2\/7, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((4 - 3)\/(1 + -6))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 113 = 4*v, -4*a + 58 + 36 = -5*v. What is the second derivative of 2604 + a*t**4 - 2604 - 6*t wrt t?\nAnswer: 252*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d - 38 = -94 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2*v + 14 = 0, 1 = -5*i + 3*v - 0. Calculate the lowest common multiple of 2 and (-1 - 5\/i)*6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240*f = -8*f - 7493600. Calculate the greatest common divisor of f and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1600*((-10977)\/(-12) - -4). What is x rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*i, 93 = -4*a - 5*i - 144. Let n be (194\/9)\/(-2) - (-14)\/a. Is 595 + (1\/(-6) - n\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1218534 at most as big as -1218503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7 + (55787 - -10) + -3*24\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -97*g + 90*g + 35. Suppose -g = 5*j, -71 = -d - 2*j + j. What is the smallest common multiple of 64 and d?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 6*y**2 - y - 7. Let u be l(5). Suppose 0 = -u*t - 2 + 2. Suppose -4*q + 0*m - 3*m = -1916, t = 4*m. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c + 56*c - 5*c = 197472. Calculate the highest common factor of c and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 298 + -280. Suppose -18*x = 4*x + d*x. Which is bigger: x or 2\/829?\nAnswer: 2\/829","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + -75080?\nAnswer: -75074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*l - 245*l**2 + 129 - 126 + 243*l**2 - l**3 as d*l**3 + g*l + t*l**2 + w and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -7*z + 1. Let a = z + 16. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -46*g + 10. Let a(c) = 23*c - 5. Let p(j) = 5*a(j) + 2*n(j). Suppose -5*z = -z + 20. Let s be p(z). What is s rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 4. Let v be (-2 - -1)\/((-8)\/24). Suppose -o = -5*g - d, 5*o = -v*g + 124 - 25. Calculate the highest common factor of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15144194 divided by 4?\nAnswer: -7572097\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 1390 = 4*k, 697 = -2626*k + 2628*k - t. Calculate the remainder when 837 is divided by k.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*2 + sqrt(720) + 4)*-5 + -5 + -1 + sqrt(720) + sqrt(720) + (-1*sqrt(720))**2 + 5.\nAnswer: -156*sqrt(5) + 699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/((-3)\/(-3)))\/2. Let k = 8.2 + -9. Let l = k - -1.5. What is the third biggest value in -4\/5, l, w?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -l + 14, 0*l - z = -3*l + 22. Let o(a) = l*a - 3*a + 6 - 7 - 4*a. Suppose -2*b + 4 = -g, 0 = b + 2*b - 12. Determine o(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 20*x + 3. Let m(l) = 9*l + 2. Let c(j) = -4*a(j) + 9*m(j). Let z(o) = -2*o - 11. Give 5*c(v) + 3*z(v).\nAnswer: -v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.025 - 1.975. Suppose 4*s - 5*v = 77, 4*s - v = 20 + 37. What is the closest to t in 5, -2\/3, s, -0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 + 63*k + 480. Does 86 divide j(-48)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/6*-26 + 52\/261144*65193.\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iydi when four letters picked without replacement from iddiiddidiidyddydii?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 - s - 3. Let t(d) = -2*d + 19. Let h be t(7). Suppose -5*i - h = 4*q, 4*q - 7*i = -2*i + 45. Does 7 divide v(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 128.4286 + 0.8514. Round o to the nearest integer.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.454 less than -21.4?\nAnswer: -24.854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/340875 and -59\/16362.\nAnswer: 2045250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1881c3 (base 13) to base 6\nAnswer: 21123353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56420 and 4169?\nAnswer: 235214980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -331 + 335. Suppose -4*j = -5*b + 4, -2*j = -2*b - s*j + 16. Solve -b*h + 20 = t, 3*h - 4*t = -t + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2854 = -2*b + 7*q, -2851 = -2*b + 3*q. List the prime factors of b.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5*x**2 - 54*x + 35. Calculate m(-12).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/5954912 and -61\/36473836?\nAnswer: 291790688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 4*o**4\/7 + 1640*o**3\/7 - 90372*o**2\/7 - 187272*o\/7 = 0.\nAnswer: -459, -2, 0, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 665595486?\nAnswer: 2, 3, 467, 79181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*o**2*t + 4*o*t - 2*o - 391*t wrt o.\nAnswer: -16*o*t + 4*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 u when two letters picked without replacement from zuukvuc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.02049922 - 1.3586\nAnswer: -1.33810078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 + s**5 - 6*s**5 + 3*s**5)*(-6 - 10 - 22).\nAnswer: 76*s**5 + 76*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 13*x**2 - x + 7. Let z be k(13). What is the third smallest value in -0.5, z, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 475?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-44)*12*2*1\/(-42)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, e: 2}. What is prob of sequence xexe?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - p**2 - p + 2. Let s be i(2). Let n(q) = -11*q**2 + 11*q. Let z(w) = 82*w**2 - 80*w - 1. Let b(u) = -15*n(u) - 2*z(u). Give b(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 0, 3*g - 10 = -3*a + 8. Suppose 2*x + 16 = 6*x. Solve -x*c + c = -a for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(65\/156 - 3\/(-9)). Let w(t) = -t - 32. Determine w(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - k = -4, 8*k = 6*k + 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 4, -4, 5, 2011.\nAnswer: -57, -4, 4, 5, 2011","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i*i**(1\/15)))\/i)\/i)\/(i\/i**(1\/4)))**29 assuming i is positive.\nAnswer: i**(-4901\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 3*f**2 - 4*f + 3. Calculate g(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34212 - 16962. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 + 579002464*d - 20952740832379456.\nAnswer: -4*(d - 72375308)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 94 - 97. Which is the nearest to g? (a) -3\/4 (b) -4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + 1 + 6\/(-2). Suppose 0 = -q*j - 2*j + 12. Let f be 2\/j*9\/2. Solve -3*s + 3*p = 2*s + 10, 0 = f*p for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6208, 5315, 2916, -1733, -9376, -20757, -36620, -57709?\nAnswer: -84768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 1:59 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000101001001101010 - 101?\nAnswer: 111000101001001100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*l**4\/9 + 610*l**3\/9 + 67*l**2\/9 - 100*l\/9 + 4\/3 = 0.\nAnswer: -2, -3\/5, 2\/11, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*a + 31*a + 0 + 0)*(-5*a - 4*a - 2*a).\nAnswer: -99*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.7 - -0.3. Let i = a + 0. Suppose -p + o = 3*o + 4, -6 = 3*o. What is the biggest value in p, i, 0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 374*d - 302*d. Are -16\/47 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 4*s - 2. Let m be b(-4). Let j = m - -4. Solve t + j*t = 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1436 + -5?\nAnswer: 1431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62145937 is divided by 314.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + -28?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26808853 and 1?\nAnswer: 26808853","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -1 - (-6 + (14 - 6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(29\/2)\/s**11*(s**(-13\/5))**3 assuming s is positive.\nAnswer: s**(-43\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/96 and 113\/3942.\nAnswer: 63072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = g - 3*z + 6, -40 = -3*g - 5*z for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31210, -62078, -92942, -123802, -154658, -185510?\nAnswer: -216358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ug when two letters picked without replacement from xuktugyuyxy?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2801?\nAnswer: 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cuuuycu. Give prob of sequence ccu.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of 0*z**3 + 1\/8*z**6 + 17*z**2 - 1\/24*z**4 + 0*z**5 + 0 + 0*z. What is the second derivative of p(n) wrt n?\nAnswer: 90*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 37877406?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 4829784984*r**4 - 4871524254*r**3 + 41853622*r**2 - 114448*r + 96 = 0.\nAnswer: 3\/1868, 4\/1137, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 2. Let s(w) = 156*w - 8. Give -4*h(m) - s(m).\nAnswer: -152*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 6*o**2 - 3*o + 24. Determine m(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3157132098 plus -0.6?\nAnswer: -3157132098.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/341, 0.3, 0.5, 1?\nAnswer: -2\/341","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 4:17 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 + 109 + -58 - 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -n + 108*w - 105*w, -12 = -3*w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2546255951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 + 11956*j**2 + 16*j - 47824.\nAnswer: -4*(j - 2989)*(j - 2)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3*(-5*(sqrt(187) - (sqrt(187) + sqrt(187) + (sqrt(187)*3 + sqrt(187) - sqrt(187)))))\/(sqrt(891)*1) + -5)**2*-4.\nAnswer: -28496\/9 + 320*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298 - 514 = -24*a for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 5, -0.3, -3, 0.2, -340?\nAnswer: -340","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4\/3 - 21*s**3\/2 + 235*s**2\/6 + 24*s - 160\/3.\nAnswer: (s - 8)**2*(s - 1)*(4*s + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 441322 - -2031?\nAnswer: 443403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-39)\/4*((-43648)\/33)\/16. Calculate the greatest common factor of 26 and s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 4. Let w be t(0). What are the prime factors of ((-8)\/6)\/(w\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 38*f + 34972 = -37*f, -2*r = -4*f - 14002. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 11. Suppose -6*s + 10 = -s - 3*j, p = s + 2*j. Suppose c = -5*m + 2*c + 5, 2*c = 0. Sort m, 3, s in ascending order.\nAnswer: m, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9953 - -9951. Let o = 2 + -1. Let b(f) = 6 + f - o - 5. Give b(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 140 + 4. Let x = t - -69. Suppose y + 19 = x. Is 30 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1018\/487 greater than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 832, 682, 608, 610?\n\"Answer: 38*j**2 - 264*j + 1058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/5)\/q**(1\/9))\/(q**(2\/11)\/q**(2\/5)) assuming q is positive.\nAnswer: q**(-244\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 817*a**3 + 1882*a**3 + 1991*a**3 + 2326*a**3 - 2027*a**3.\nAnswer: 4989*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -5*x - 13. Let t(r) = 2*r**3 + 26*r**2 + 24*r - 4. Let g be t(-12). Calculate z(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2120, -4228, -6326, -8414?\n\"Answer: 5*s**2 - 2123*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 3 + -8 + 7 + -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4.860594 kilometers?\nAnswer: 4860.594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -96171 and -0.738.\nAnswer: -96171.738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 3*p - 5*a - 5, 3*p + 2*a + 2 = 0. Let d be (57 - 59) + p + 5. Solve -t = d*t + 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - y + 0*y)*(-10*y - 89*y - 96*y) + (-2 + y + 2)*(4*y - 3*y - 2*y).\nAnswer: -586*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/657 and 9\/803?\nAnswer: 7227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 755 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((2 + sqrt(1700))*-6 - (sqrt(1700) + (sqrt(1700) - sqrt(1700)*2)*4)).\nAnswer: -30*sqrt(17) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -407?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 - 19 + 111*j - 59.\nAnswer: 111*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 2. Let y be j(2). Let k = 1.023 - 0.723. Let s = 117\/4 - 29. Sort y, k, s, 0.5.\nAnswer: y, s, k, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2121533*j*x**2 + j - 4743904*x**2 wrt j.\nAnswer: 2121533*x**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1099279490 rounded to the nearest one million?\nAnswer: 1099000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -6*f + 570. Let q = f + -83. Calculate the greatest common factor of 8 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(180\/(-68)))\/(3\/(-279)). Let v = f - 105. Which is the nearest to -1\/2? (a) 0 (b) -0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4*-2*sqrt(1377)*1 - ((sqrt(1700) - sqrt(1700)*-1*1) + -2)).\nAnswer: 7 + 52*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9676.\nAnswer: 2, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 0. Let z be u\/(-15) - (-1697)\/15. Suppose -40 = s - z. Does 16 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/((-4560)\/184300))\/(((-10)\/4)\/1).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 2625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 790*b**3 + 759*b**3 - 50 - 1548*b**3.\nAnswer: b**3 - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4864451 to the nearest integer?\nAnswer: 2206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/4)\/((275\/20)\/11). Is (-5 + 2 - (-330 - v))\/1 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1105 = -5*x + 5*q, 687 = 3*x + 1086*q - 1081*q. What is the greatest common factor of x and 1536?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l. Let r(v) = -v - 2. Let b(i) = -4*d(i) + r(i). List the prime factors of b(4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + 22 + -38 + -11 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/6, 1\/2, 1\/7, 1, 8, -25 in descending order.\nAnswer: 8, 11\/6, 1, 1\/2, 1\/7, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 6) + (3 - 7 - (23 - 32))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by 589159.\nAnswer: 29\/589159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 8:55 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, f: 1, l: 1}. What is prob of picking 1 i and 1 l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4326 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: Let p = 7042 + -7036. Calculate the lowest common multiple of p and 606.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/6 of a millennium in months?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.786 + -11.786. Put 0, -1, 2\/11, n, 2\/119 in decreasing order.\nAnswer: 2\/11, 2\/119, 0, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*p = -l, 0 = 3*p - 2*l. Let c(i) be the third derivative of p*i**5 - 2*i**2 + 1\/210*i**7 + 1\/120*i**6 + 0*i + 0 + 0*i**3 + 0*i**4. Factor c(z).\nAnswer: z**3*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 698*q. Let s(x) = -x**2. Give r(s(j)).\nAnswer: -698*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * -71\nAnswer: -2.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/5)\/((-34)\/(-85)). Let x(y) = -5*y + 1. Calculate x(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83280.01 grams in tonnes?\nAnswer: 0.08328001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2244235 + -341?\nAnswer: -2245020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*p + 42*p - 8*p)*(3*p + 4 - 4) + p**2 - 4 + 0 + 3.\nAnswer: 163*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((2*sqrt(65)*-2 - sqrt(65))*4)\/(1*sqrt(125)*-3))**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -62 - 2*q + 20*q - 2*q**2 - 9*q - 9*q in the form l + j*q + t*q**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 1371171. Let n(b) = -6*b**2. Give g(n(s)).\nAnswer: 36*s**4 + 1371171","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16084 + 114523. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((94\/(-10))\/1)\/((-2661)\/13305)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h - 9043 - 4955. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 58 (b) 1 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*w + 7887 = -215*w for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/8 (b) 2.6020072 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2496*o + 2499*o + 46*o**4 - 196*o**4 + (3 - 5 + 4)*(-4*o**4 + 0*o**4 + 3*o**4) + 5*o**4 - 12*o**4 + o**4.\nAnswer: -158*o**4 + 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 672781 is divided by 10851.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.37688 rounded to one decimal place?\nAnswer: 24.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**2\/2 + 990*a - 95778 = 0.\nAnswer: 102, 1878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.39593757 and -1059.\nAnswer: -1058.60406243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.01 - -0.29. Which is the second biggest value? (a) 0.4 (b) -0.3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a**5 - 85*a**4 - 4*a**3 - 6*a**2 + 23*a - 3.\nAnswer: 180*a**2 - 2040*a - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (7 + 6 + -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*r - 3590 = -195 for r.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 58257.21 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.2 + 3. Let m = -109 + 108.9. What is the third smallest value in -2\/7, m, n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**5\/11 + 3914*j**4\/11 + 1889310*j**3\/11 - 25068250*j**2\/11 + 77618000*j\/11 = 0. What is j?\nAnswer: -985, 0, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**2 + y**2 - 2*y**2)*(-1 + 2 - 4)*(2*y - y + 0*y).\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*x + 7*x - 8*x)*(-4 + 3 + 3)*(-6*x**2 + 2*x**2 + 10*x**2) + 0*x**3 - 3*x**3 - 2*x**3.\nAnswer: -113*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 13*m**2 + 1052*m - 57. Let v be y(-81). What is the highest common divisor of v and 9288?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*k - k. Let i = k + -1. Solve 2*b = -4, -5*b - i = w - 3*b for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 8*k - 4. Let c be d(-7). Suppose -c*v + 16 = -7*v. What is the units digit of 6*9\/2 - v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 20021?\nAnswer: -20012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yymp when four letters picked without replacement from {g: 1, p: 1, y: 2, c: 2, m: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29522 or -29499?\nAnswer: -29522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 0.064, 52, -0.14.\nAnswer: -33, -0.14, 0.064, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**4\/3 - 20*w**3 + 382*w**2\/3 + 276*w - 912 = 0.\nAnswer: -3, 2, 12, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/11804 or -1?\nAnswer: -7\/11804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -8*1) + -3. Suppose -3*b + h = -v, -2*b + 21 = 4*v - 15. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 0) + (-1 - -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 12. Let v = t + -13. Do v and 1\/44 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 12*i + 15. Let j be w(13). Solve 0 = -j*c - 4*u + 6, -2*c + 6 = 3*u - 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 682282 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 5*t - 68, -32 = t + v - 49. Find h, given that t + 1089\/2*h - 33*h**2 + 1\/2*h**3 = 0.\nAnswer: 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 722080168 a multiple of 8242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2110 - -211010?\nAnswer: 220120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = b - 2, 0*b + 8 = -i - 2*b. Let r be (-1)\/(-2) - i\/(-8). Let q = -86331 - -86333. Solve -q*m + 2 = -r for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -175244*f**3 + 28*f + 1728 wrt f.\nAnswer: -1051464*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -3, -6 in decreasing order.\nAnswer: 0, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1282777928 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3, -4*o - 2667 = 2*s - 18165. List the prime factors of o.\nAnswer: 3, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzpyzzyyzxxzypip. Give prob of picking 4 y.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/56 + 93275\/4900\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xq when two letters picked without replacement from xxxqxqxzzxzqxxxxqzzz.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4083445 to the nearest integer?\nAnswer: 2021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5024780767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -225?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -74 in 1\/3, 4, 98, 8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 5*c**2 + 21. Let m be p(3). Let y be (-4)\/6*(-42)\/4. Put -3, 0, y, m in ascending order.\nAnswer: -3, 0, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -18*w + 109. Let q be j(7). Suppose -4*i = 3*l + 10, l - 5*i = 5*l + 13. Let o = l - q. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14880659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 9*y - 136 = 0. List the prime factors of y.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*i - 109*i + 455*i - 115*i - 112*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/2)*j*j**(2\/11)*j*j**(2\/5)\/j*j**(-2\/11)\/j)**(-2\/25) assuming j is positive.\nAnswer: j**(-19\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (14\/14)\/((-27)\/(-6))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 801?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -581?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 232 and 1408?\nAnswer: 40832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.89, -2\/53, 2, -1\/6, 0?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 1617174*u. Let j(o) = 7*o + 5. Give j(r(i)).\nAnswer: 11320218*i + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 367\/9 - (13 - 119\/9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 3*i + 18, 3*i - 3*w + 232 - 211 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*a = -110*a + 1582 + 551 for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 8168254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 less than -0.128815?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8747710*m**2 + 10775798 with respect to m.\nAnswer: 17495420*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 240\/115 + (-78)\/8073*9. Factor -5\/3*l**m - 1\/6*l + 1\/6*l**3 + 5\/3.\nAnswer: (l - 10)*(l - 1)*(l + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0.17, 8\/7, 11, 0.1, 6, -2.4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -291779418 by -1619.\nAnswer: 180222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5981015 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 5*t**2 - 13*t - 10. Give p(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -212896 or -212898?\nAnswer: -212896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/3)*b\/(b\/(b\/(b\/b**(1\/3)))))**14\/(b**(2\/5)*b**(4\/5)*b*(b**(-1\/3))**(2\/3)) assuming b is positive.\nAnswer: b**(541\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 15812451 to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 21 + 34. Let k(v) = v**2 + 9*v + 3. Let d(g) = -3*g**2 - 27*g - 10. Let q(b) = 2*d(b) + 7*k(b). What are the prime factors of q(w)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22028 and 14.\nAnswer: 154196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-6))\/((-770)\/259730). Let b = 337\/3 - t. Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 24\/(7 - -1) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.12 and 0.85.\nAnswer: 0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6705)\/(-75) - (-2)\/(-5). Suppose a = 3*u - 388. Suppose 4*k - 13 = u. What are the prime factors of k?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -123*n**3 + 124*n**3 + 11*n**2 + 33 - 39 - 13*n. What is l(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -191*r**2 - 13752*r - 29. Give a(-72).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5952 divided by -3.\nAnswer: -1984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3680277 to the power of 1\/2, to the nearest integer?\nAnswer: 1918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 63 + -3?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122 + -121312031302?\nAnswer: -121312032030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 116939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5777*v = 5749*v - 280 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-3 + 204\/6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 2*u + 1\/2*u**2 + 1\/12*u**4 + 0 + 1\/20*u**5 - 1\/3*u**3. Let o = 137 + -135. Calculate y(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (347 - 534*h - 749*h - 348)*(0*h - 3*h + 4*h).\nAnswer: -1283*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 5*o - 15 + 5, 3*u + 3*o = 0. Suppose 8*j + 180 = u*j. Let v be 2\/5 + 42\/j. Are 0 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 1 = -5. Let y(q) = q**3 + 2*q. Let m = -2 - -2. Suppose m = 5*p - 10, -5*p + 16 = 5*u - 2*p. Let i(h) = -h**3 - 3*h. Give f*y(z) + u*i(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.83 - -0.03. Let l = f + -0.3. Let d = -1783.8 + 1784.8. Which is the biggest value? (a) l (b) 0.1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/12)\/((-3)\/9) + 0\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 8*x + 42 = 10*x. Which is the nearest to -0.2? (a) x (b) -4 (c) -47\/7 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7012109 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*t + 3*a + 887 = 0, -529 = -3*t + 5*a. Let d = t + -171. Suppose 4*o = 80 + 20. Solve d*w = 2*w + o for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccrjjjcjjccjrj. What is prob of sequence jjr?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -290.80990273319 and 5?\nAnswer: 295.80990273319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2882624265 a multiple of 7378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - 5\/(((-25)\/(-185))\/5). Let m = 192 + q. Solve m = -5*j - 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*t**2 - 113242*t - 113248*t + 226488*t.\nAnswer: 11*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vi when two letters picked without replacement from {f: 2, t: 1, b: 1, v: 1, i: 1, g: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6657, -13482, -20307, -27132?\nAnswer: -33957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4379878 to the power of 1\/2, to the nearest integer?\nAnswer: 2093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-105)\/(-8 - -5))\/2. Factor 25 - g*y + 5\/2*y**2.\nAnswer: 5*(y - 5)*(y - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 66079.64 milligrams?\nAnswer: 0.06607964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 4*i**2 - 3*i**3 - 2*i**3 - 4 + 5*i**3. Let o be z(-4). What is the units digit of (-2)\/(-1*o\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1498 - -2190. Let p = 692.4 - c. Sort -4, -1, p, -0.9 in decreasing order.\nAnswer: p, -0.9, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 368888 divided by 5?\nAnswer: 368888\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 1. Let t(y) = y**3 + y**2 + 33*y - 6. What is 6*q(m) + t(m)?\nAnswer: m**3 + m**2 + 27*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*a - 23*a - 34*a - 19*a + 78*a.\nAnswer: -22*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i**2 + 5. Let x be k(-4). Let q = x + 47. Solve -2*h + 2 - q = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1057*j + 293*j - 44720 = 276*j for j.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.112 - -1.612. Let i = 21 + -17.9. Let o = -3 + i. Sort o, q, -5 in increasing order.\nAnswer: -5, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 3:49 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 178814.7 minutes in hours?\nAnswer: 2980.245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 401 + -434. Suppose -4*q = -4*y - 216, -5*q + y + 0*y = -258. Let j = q + f. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200468731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -147.\nAnswer: 1\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 27.072 * -0.1\nAnswer: -2.7072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -237108 to the nearest ten thousand.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1227976420 and 220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 493 + 2205. Calculate the remainder when n is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-30)\/35 - (30\/2 + -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11144 divided by 146?\nAnswer: -5572\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 0, 5, -6 in decreasing order.\nAnswer: 5, 0, -6, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36 (base 15) to base 13.\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -1223?\nAnswer: 1223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 7:58 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, o: 4, x: 1, w: 1, f: 1, g: 2}. Give prob of picking 1 w and 1 g.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2101210 - 1?\nAnswer: 2101202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.47 - -22.47. Let u = -24 + a. Let t = 0.2038 - 0.0038. Which is bigger: u or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -68252, -68363, -68474, -68585, -68696, -68807?\n\"Answer: -111*d - 68141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**14\/(m**(-1)*m)*(m\/(m\/(m\/((m\/(m**(-1)*m*m))\/m)))*m)**(2\/155))**(1\/25) assuming m is positive.\nAnswer: m**(2176\/3875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (642\/70)\/((-135)\/(-75)) - 5.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 2 + -3 + 43 + -33.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((34\/(-85))\/((-40)\/12))\/(27\/45)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 11, -34, -4875 in descending order.\nAnswer: 11, -4, -34, -4875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 308*m - 216 - 1387*m + 536*m + 539*m.\nAnswer: -4*m - 216","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -990 - 745?\nAnswer: -1625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 277549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3715)\/5201 - 54\/(-56).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 20 + 153097*k**2 - 153099*k**2 - 30*k to the form r*k + s + y*k**2 and give r.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -4\/5*y**3 + 0 + 0*y - 3\/100*y**5 - 78*y**2 - 17\/60*y**4 + 1\/600*y**6. Find v, given that l(v) = 0.\nAnswer: -2, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5298303 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 o, and 1 t when three letters picked without replacement from {t: 1, o: 2, u: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36935 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-5)\/21*-5 + 4 + 18837\/637?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a factor of 3637156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k**5\/k)))\/(k**4*k))\/(k**(1\/7)*(k**1*k)\/k)*(k*k\/k**(-2\/3))**(-34)*k**(-1\/4)*k*((k**(6\/11)*k)\/k*k)\/k assuming k is positive.\nAnswer: k**(-84559\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 196 = 3*r + h, 0 = -r + h - 72. Let b = -39 - r. Calculate the common denominator of -1\/7 and ((-14)\/(-1))\/(16\/b).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from uuvhvfuuf?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -6*l**3 - 4*l**2 - l + 1. Let b(n) = -n**3 - n - 1. Let k(r) = 5*b(r) - j(r). Let s(c) = -c**2 - 6*c - 4. Let d be s(-6). Is k(d) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 18*s**2 - 19*s - 5. Is x(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/3 - 8*y\/3 + 8.\nAnswer: -2*(y - 2)*(y + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f - 1. Let n be k(-10). Let g = 72 + n. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -297140 and 0.5.\nAnswer: -148570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*j + 5*j - 319 = 0, 410 = 4*y - 5*j. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6187\/6 + 3086\/3. Let r = 14 + -21. Let d = 4 - 0. Put d, r, k in descending order.\nAnswer: d, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 12665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(-1 - 9 - 6)*(0*a + 0*a + 2*a).\nAnswer: 64*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111010010101011101 (base 2) to base 5.\nAnswer: -30121231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 8. Suppose 0*j - 3*j + 54 = h. Is j a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 65001\/(-20) - 131\/(-2620). Which is greater: r or -3251?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 0*k**3 - 1\/30*k**4 + 1\/150*k**6 - 1\/100*k**5 + 0*k**2 + 7*k + 0. Solve l(v) = 0 for v.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 3*28\/(-12). What is the smallest common multiple of (-63)\/(-4) - f\/36 and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 - 3) + (-8)\/1. Let o(f) = -f**3 - 2*f**2 + 4*f - 6. Is o(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 + 3*k + 6. Let m(g) = -24 - 4*g**2 + g**3 + 265*g - 126*g - 127*g. Let u be m(3). Let o(t) = -2*t**2 - 2*t - 5. Calculate u*i(y) + 4*o(y).\nAnswer: -2*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 + 57 - 26 - 64*y)*(-63*y**2 - 54*y**2 + 31*y**2)*(0*y + 2*y - y).\nAnswer: 5504*y**4 + 172*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -2\/5, -54.23, 4\/9 in descending order.\nAnswer: 4\/9, 2\/7, -2\/5, -54.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*f**3 + 16724 - 16724 + 665*f**3.\nAnswer: 601*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*i + 9*i + 9*i + 300 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1115 - 3567?\nAnswer: -4704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 19*h + 23*h + 28, -3*h = 4*s - 14 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3404*s - 3979*s + 1083555 = 10175*s - 66695 for s.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 148 + -128. Let u(d) = 6*d - v*d - 19*d - 5*d. Let c(g) = 2*g. Give u(c(x)).\nAnswer: -76*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -171174*y - 852257 wrt y.\nAnswer: -171174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2*(-4)\/12)\/2. Suppose -4*f - 4*l = 28, 5 = -3*f - l - 14. Let o be (4\/f)\/(4\/6). Which is the closest to v? (a) 1 (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.095973 - -6841.804027. What is b rounded to the nearest one hundred?\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/6 (b) 2 (c) -0.4 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 159, 309, 461, 615, 771, 929, 1089?\nAnswer: 1251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32420860?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(728\/(-169)))\/(25\/(-300)).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1926)\/(-428) + (0 - (-3 + 5)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 64\/28 + (-4)\/14. Let n be y - (0 - 0\/(-2)). Suppose -7*b = -n*b. Round b to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 3 = t. Suppose 7 = 3*v - g, t*g + 2 = 4*v - 4. Suppose 9*q - 2*q**2 - v - 24*q + 9*q = 0. What is q?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -360*d*k**2 + 541*d wrt k?\nAnswer: -720*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48.58 + -51.58. Which is the smallest value? (a) p (b) 3\/5 (c) 2 (d) -0.2 (e) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67064, -133855, -200660, -267485, -334336, -401219?\nAnswer: -468140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8477*u + 3300*u - 320974 = 0 for u.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 b, 1 i, and 1 u when four letters picked without replacement from pbmuiqum?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 6 = -5*q, q = 4*j - 2*q - 2. Suppose -j*w = 2*h - 118, 2*h = -0*h - 4. List the prime factors of w.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 12:07 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14345608, -14345354, -14344930, -14344336, -14343572, -14342638, -14341534?\nAnswer: -14340260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 155 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 935 and 52615?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 18. Let i be g + 5 + (-2 - 0). Suppose -l = i*l - 330. List the prime factors of l.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-nine halves of a meter in millimeters?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8190063*n**2 + 8190063*n**2 + 6*n**3 + 2*n**3 - 11*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -401 - -87. Let q = i - -650. Let k(x) = -x - q + 336. Let y(s) = 21*s. What is k(y(b))?\nAnswer: -21*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of 37*l**5\/12 - l**4\/24 - 289*l**3\/6 - 395*l**2. What is the first derivative of r(q) wrt q?\nAnswer: 370*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 189082 and 10.\nAnswer: 945410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 1 + -1 - (-127 + (-42 - -84) + 1)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 43681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6331870 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 31\/2 of a second?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 + 25. Suppose -4*n - b*n = -138. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01046 to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 3) + 3 - (20 + -13).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - b + 16. Suppose -211 + 19 = -b*q. Let f = -24 + q. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19155, -2, -0.2, -0.3 in decreasing order.\nAnswer: -0.2, -0.3, -2, -19155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -69*i + 10. Let y(f) = -35*f + 4. Determine 2*n(j) - 5*y(j).\nAnswer: 37*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 192 and 1236648.\nAnswer: 9893184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - t = 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -815538*p**2 - 638602*p wrt p.\nAnswer: -1631076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001073054 to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*x - 18*x + 16*x - 15*x as c*x + b and give c.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**5 + 780*o**4 + 9846*o**3 + 16588*o**2 = 0.\nAnswer: -377, -11, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21 - -150d46?\nAnswer: 150d25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 6*(-1 + sqrt(7)) + (sqrt(112))**2*-5.\nAnswer: -563 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 457*h**3*i**2 + 399*h**3 - 3*h**2*i**2 + 17*h wrt i.\nAnswer: 914*h**3*i - 6*h**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2087638*s**2 + 0 + 0 + 2087638*s**2 - 3*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2653 + 4602. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1161763?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-175))\/(1386\/(-3080))?\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 31 + 5 = 5*m, 4*t + 3*m + 20 = 0. Let f be t\/(-6)*(-3)\/(-2). Suppose -f*x = 2*x - 16. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*m**3 - 173*m**2 - 3*m + 19115 wrt m.\nAnswer: -45*m**2 - 346*m - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 183127, 183123, 183119, 183115, 183111, 183107?\n\"Answer: -4*y + 183131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224c (base 13) to base 7.\nAnswer: 16661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 961?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6164 is divided by 309.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/135 and -71\/5022.\nAnswer: 25110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 3\/2*w**2 + 1\/6*w**3 + w + 0. Does 3 divide p(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681064.8t in micrograms?\nAnswer: 681064800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-51)\/(-34)*(-8)\/(-12). Solve -5*y = -10, 11*g - 2*y = 6*g + d for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1*(5*sqrt(847)*-1 - -4*(sqrt(847) + -1 + sqrt(847) - sqrt(847)))*-1*-5)**2 + 4.\nAnswer: 6600*sqrt(7) + 64729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-410)\/15*-3)\/(2*-1). Let h = t - -44. Suppose h + 1 = x. Solve -p - x*d + 17 = 1, 4 = -3*p + d for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 5:12 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588966 is divided by 246?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, c: 14}. What is prob of sequence cccl?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (12\/5)\/6*(-60)\/44\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -311836, 0, 1 in ascending order.\nAnswer: -311836, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 57112840 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 212270000 rounded to the nearest one million?\nAnswer: 212000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -511*x**3 + 2 - 8*x + 262*x**3 - 5*x + 257*x**3 as s*x + p*x**3 + r*x**2 + g and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37550478 - 37541121.9932. Let w = 9353 - i. Let j = -3 - w. Round j to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -179 and -49274.\nAnswer: 8820046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + -1 + 1 + -1 + 4*-1*(sqrt(1331) + -1))*-2.\nAnswer: -6 + 64*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16236?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13 + -38?\nAnswer: -4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7500)\/1000*(-132)\/10. Solve -106*f - 49 = -l*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 98, 0.5, 5 in descending order.\nAnswer: 98, 5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4*q + 12 = 0, 4*w = -q + 4 - 7. Solve 3*l + w*l - 12 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.303, -3, 7 in descending order.\nAnswer: 7, -0.303, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-1) + (-91)\/(2457\/(-891)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1158022 + -1157910.9861. Let n = 111 - i. What is n rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(768\/(-112) - -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 511752 and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2 - 2*y - 1. Suppose 2*z = -v + 11, 0 = v - 5*z + 4 + 6. Let n be ((-22)\/(-55))\/(1\/v). Give w(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53037 - 1322 = -2845*s - 79574 - 50791 for s.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4195, 4306, 4619, 5236, 6259, 7790?\n\"Answer: 17*s**3 - s**2 - 5*s + 4184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 92*o**6 - 429651*o**4 - 6*o**2 - 25356*o + 88.\nAnswer: 11040*o**3 - 10311624*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -6, -1 in ascending order.\nAnswer: -6, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 3*z - z)*(1 - 1 + z) - 19*z**2 - 14*z**2 + 19*z**2 - 111 - 10*z**2 + 111.\nAnswer: -25*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -7*g - 4. Let i = 304 - 3950\/13. Which is smaller: g or i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -885*31\/((-20460)\/(-22)).\nAnswer: -59\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/224 and 55\/168.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hmu when three letters picked without replacement from {h: 3, u: 1, n: 1, m: 1, o: 5}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 1\/15*l**4 + 8\/15*l**3 + 0*l**2 + 0 + 26*l. Find i, given that k(i) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1147*w - 245424 = -3966*w for w.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-1\/2)\/u)*u*u)**(-31)*u**6*u*u\/(u**2\/u) assuming u is positive.\nAnswer: u**(-265\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 4*h + 39, -12 = -3*u + 8*h - 3*h. What is the least common multiple of 274\/18 - (-4)\/(-18) and u?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*t - 1)*(6*t - 79 + 79)*(8 - 17 - 1).\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 3374412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5*d - 5 - 5*d**2 + 2*d**2 + 0 + d**3. Let j be y(5). Solve 4*u + 6 + 2 = 2*v, 0 = -4*u - 4*v - j for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (6 + -1 - 10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -223 or -224?\nAnswer: -223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 8:15 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*t + 3*c + 6 = -86*t, t - 4 = -2*t + 2*c for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -18 + 10 - (8 - 2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15869*h**4 + 4*h**2*m**2 + 62336*h*m**2 wrt h.\nAnswer: -190428*h**2 + 8*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.05654 and 1.\nAnswer: 0.94346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c**2 + 179*c - 223. Let u(y) = -y**2 + 45*y - 56. Let d(w) = -2*g(w) + 9*u(w). Find the first derivative of d(h) wrt h.\nAnswer: -2*h + 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4053 + -1742. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-156)\/234*7*(-6)\/(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1802, -3476, -5150?\n\"Answer: -1674*y - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 100050 + -13?\nAnswer: 100033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -14*i. Let v(p) = -12*p**2. What is b(v(u))?\nAnswer: 168*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*b*h**2*z + 54*b*h**2 + b*h*z - 2*b*h + b*z - 299*h**2*z + h**2 + 20*h*z - z - 5 wrt h.\nAnswer: 38*b*z + 108*b - 598*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5*c + 15. Let y be i(0). Let v = -5 - -9. Solve r - y = v*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3591\/81 - 2) + (-20)\/15\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2792 = c, -2*c + 0 = -4. Round q to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3423326 to four decimal places.\nAnswer: 0.3423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/58220 and 71\/2870?\nAnswer: 407540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*y**4 - 2*y**3 - 11*y**2 - 20872*y.\nAnswer: 24*y**2 - 12*y - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a century in decades?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2408 (base 13) in base 8?\nAnswer: 11726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64*y**4 - 27*y**4 - 36*y**4 + 1671*y**2)*(1 - 1 - y).\nAnswer: -y**5 - 1671*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 + 45*m - 55. Let h be j(-24). Suppose h - 29 = -2*f. Solve f*b - b = 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-132)\/40*7\/(-84)*20.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 4 + 4)*(-3*l**2 - 2*l**2 - 10*l**2)*(1 + 2 - 4) in the form v + z*l + p*l**2 and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.36 times -0.5198?\nAnswer: 0.706928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -97 - -91. Calculate the common denominator of ((-24)\/10)\/1 - g\/(-6) and -71\/51.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 244 - 239. Determine l, given that -50\/7*l**3 + 16\/7*l**4 + 0 - 16\/7*l**2 + 8\/7*l + 6*l**t = 0.\nAnswer: -1, -2\/3, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 143, 471, 1107, 2153, 3711?\nAnswer: 5883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d**3 + 6*d**2 + 12*d**2 + 2 - 2.\nAnswer: -10*d**3 + 18*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15189 - 198030. Let k be -3 - (-2)\/((-43056)\/f). Let z = k + -135\/299. What is the common denominator of z and 8\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 135*d*k**3*w**2 + 252067*d*k*w**2 - 905*k**3*w**2 + 10*k**2 + 132*k*w**2 - 3*k*w wrt d?\nAnswer: 135*k**3*w**2 + 252067*k*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 + 115\/3)\/(3 + -5 + (-8)\/(-3)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 196 + -222. Let m = l - -25.99933. What is m rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/4)\/((54\/(-96))\/(-9)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.8 and 28780?\nAnswer: -109364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (1 + -5)) + 4 + 11 + 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/7))**(-2\/77)\/(t**(1\/4))**(2\/9)*((t\/(t\/(t*t**0*t)))\/t**(1\/5))**16 assuming t is positive.\nAnswer: t**(1394033\/48510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 + 0.3. Let u = -430 - -432. What is the third smallest value in u, -2, i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -831\/11, 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 12. Let s = 0 + 10. Let t be i(s). What is the highest common divisor of 4 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**3\/7 - 6*u**2\/7 + 146*u\/7 + 90 = 0.\nAnswer: -7, -5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 5*h + 10. Suppose -1 = -4*o - h. Is (10 + -5)\/(o\/(-17)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 25)\/(-1) + 0. Let i(k) be the first derivative of k**4\/4 + k**3\/3 - k + 4732. Let t(d) = 9*d**3 + 8*d**2 - 8. Determine o*i(w) + 3*t(w).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*i + 680 = 0, 246*k - 248*k = -3*i - 1412. Solve -723*g = -k*g - 138 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -175? (a) -5 (b) 0.11 (c) -3\/5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-13)*2\/4. Suppose -5 - 5 = -5*o. What is the biggest value in o, s, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 27725 + -583?\nAnswer: 27132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1120388 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 3:33 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3341086989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1154340.\nAnswer: 2, 3, 5, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 4\/3, -0.1, -1, -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-35)\/(-42)*(0 + -3)*-2. Suppose -3*o + 3*i + 165 = -0*i, o + r*i = 25. Calculate the highest common factor of 5 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1979 less than -40646568?\nAnswer: -40644589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110210333 (base 4) to base 2.\nAnswer: -10100100100111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 893 - 892.999997157. What is k rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 767*h + 39226. What is p(-51)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6233 and 13087.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19028117 to the power of 1\/2, to the nearest integer?\nAnswer: 4362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 168 = 5*b, -4*b - 4*z + 167 - 47 = 0. Suppose -2*f + 8 = 0, -b - 25 = -5*t - 2*f. Suppose t = 2*j + 3*j. Solve m + 4 = -g, 2*m = g - j*g - 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 241418945 to the nearest integer?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 p when two letters picked without replacement from {v: 11, p: 5, z: 1}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-9)\/b*b\/b**43)**38)**(-4\/23) assuming b is positive.\nAnswer: b**(7904\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -0.4, 83, -0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1, -3, -333, -0.17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-534)\/(-178) + -1 + (-2 - -4). Solve z = -s*z - 5*a - 35, -4*a - 18 = -z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*q + 3)*(-10 + 4 - 3) + (-1 - 1 + 1)*(2*q - q - 4*q).\nAnswer: 21*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**5\/5 + m**4\/3 + 569*m**3\/3 + 49*m. Find the second derivative of q(a) wrt a.\nAnswer: 24*a + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -7*s - 28. Let i be q(-5). Is (-6294)\/(-3)*(0 - i\/(-2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3186859, 6373662, 9560463, 12747262?\n\"Answer: -r**2 + 3186806*r + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7508, -16934, -26346, -35738, -45104, -54438, -63734?\n\"Answer: p**3 + p**2 - 9436*p + 1926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7028 is divided by 64\/(-48)*-12 - -63?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -3321230?\nAnswer: -3321231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -2, -3, 3\/5, -28.608?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 57328, 57422, 57674, 58162, 58964, 60158, 61822, 64034?\n\"Answer: 13*v**3 + v**2 + 57314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -l**3\/6 + 3*l**2 + 3*l. Let n be k(3). Suppose -8 = h - n*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 62 in increasing order.\nAnswer: -3, -1, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q + 67 + 4*q**2 + 2*q + q.\nAnswer: 4*q**2 + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 5*w - 21, 400*t = 3*w + 399*t - 17 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275 + 249 = -2*u - 2*v, 2*u - 4*v + 82 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q**4 - 2*q**4 + 497*q**3 - 496*q**3 - 3*q**2 to v*q**3 + h*q**2 + i*q + l + p*q**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 799684 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 + 1 + 29171*c - 1 - 29171*c + 0*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25) + sqrt(25) + sqrt(1225)*-1 + sqrt(1225))\/sqrt(5) + -5 + sqrt(180) + 1 + -2 + (-1*sqrt(500)*-3 - sqrt(500)) + -2)**2.\nAnswer: -448*sqrt(5) + 3984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -17. What is the least common multiple of 10 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 65 = 79. What is the units digit of 19 - 12*6\/i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 136473000 to the nearest one million.\nAnswer: 136000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 425513 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -77, 3628, -10\/3?\nAnswer: 3628","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-85*o**3 + 808*o**2 - 808*o**2)*(0*o + 0*o + o**2) + 281 + 7*o**5 - 281.\nAnswer: -78*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30875294 is divided by 932.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*f**3*r**3 - 9*f**3*r**2 - 3*f**2 + 4*f*r**2 - 67*r**3 + 3*r**2 + 6*r wrt f.\nAnswer: -48*f*r**3 - 54*f*r**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7305128, -14610257, -21915386, -29220515, -36525644, -43830773?\n\"Answer: -7305129*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 173998126739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 f when two letters picked without replacement from ikukkuakuaf?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 18*l**2 + 100*l + 167. Give x(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 383*u**3 - 2*u - 2. Let q be d(-1). Let p = 1201\/3 + q. Find the common denominator of p and -45\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -73737 + 180178. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8733204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 9:34 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -32113 (base 4) to base 8\nAnswer: -1627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2769849*g - 713332?\nAnswer: -2769849","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**4\/13 - 1651588*h**3\/13 + 1651584*h**2\/13 + 1651588*h\/13 - 1651586\/13 = 0.\nAnswer: -1, 1, 825793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*y + 22*y + 67 + 581 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-2)\/(-10))\/(2\/50)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.07 + 0.57. Let w = 488815\/46 + -10626. Let h = -2\/23 - w. Which is the third biggest value? (a) o (b) h (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20\/3 + -7. Let y = -0.65 + -0.15. Let q be (81\/675)\/((-2)\/10). Which is the third biggest value? (a) h (b) y (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12744 divided by -1.\nAnswer: -12744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12 or 12\/49?\nAnswer: 12\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**4\/3 + 868*v**3\/3 - 4112*v**2\/3 - 26992*v\/3 - 10176 = 0.\nAnswer: -2, 9, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 23*d**3 - 115663*d**2 - 135806*d - 20120 = 0. Calculate d.\nAnswer: -1, -4\/23, 5030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 66 = -6. Let x = -21 - q. Let k(h) = -29*h. What is the remainder when 86 is divided by k(x)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p**2 - 5*p + 1. Let d be w(-12). Let x = d + 743. Let m = 376 - x. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**5 - 6*h**4 - 5185145*h**3 + 2599039*h**2 + h wrt h?\nAnswer: 120*h**2 - 144*h - 31110870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13273\/110 - 594\/5. Find the common denominator of -79\/20 and w.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -71 (base 10) to base 16.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1371652?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*m + 285 - 1290. Sort m, 3, 1 in ascending order.\nAnswer: m, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 37*x**3 + 11*x**2. Let z(r) = -37*r**3 - 12*r**2. Let m(c) = 5*y(c) + 4*z(c). What is the third derivative of m(n) wrt n?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -1\/181, -133, -1, -66 in ascending order.\nAnswer: -133, -66, -1, -1\/6, -1\/181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 p when two letters picked without replacement from {p: 1, f: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d. Let i(s) = -29466*s. Calculate b(i(u)).\nAnswer: 29466*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2 = 2*f. Suppose -1 = -j + f. What is the second derivative of -v + 0*v**2 + 3*v - j*v**2 wrt v?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yh when two letters picked without replacement from {y: 5, h: 7}?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 122 - 118 = 0. Suppose -16 = q*y + 4. Sort y, 2, -4 in ascending order.\nAnswer: y, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.733318728 to three dps.\nAnswer: 2.733","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 198704085 to the nearest integer?\nAnswer: 14096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 5638.156703 to the nearest 100.\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 2*o - 2*o)*(-2*o - 1 + 1) - 7*o**2 - 9*o**2 + o**2 + 1 + 7*o**2 + 13*o**2 - 25*o**2.\nAnswer: -24*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 - 26 + 18*t to the form i*t + u and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 93 and 17949?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16889341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/32, 55, -4\/5 in increasing order.\nAnswer: -4\/5, 1\/32, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 18. What is the tens digit of (-375 - -2)\/((-1)\/(n - 2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 13 = -17. Let d(f) = -f**3 + 5*f**2 + 6*f + 2. Let w be d(k). Factor -32*m**4 - 8*m**w + 54*m**2 + 4*m - 10*m - 80*m**3.\nAnswer: -2*m*(m + 3)*(4*m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19684)\/1995*3\/2*175\/(-35)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (5 - -6) - (0 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 + 6 = -3*r. Calculate the remainder when 80 is divided by r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 3 (c) -4 (d) -1 (e) 0.17 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 898.1483 millilitres to litres.\nAnswer: 0.8981483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 189879951?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**4 + 10*i**4 - 3*i + 0*i wrt i.\nAnswer: 84*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 = 5*f - 3*o, -128*f + 2*o + 75 = -192*f + 67*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 11:48 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 100001001100?\nAnswer: -100001001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*n + 15. Let m be (12\/40)\/(n\/(-5)). Factor m*y**2 - 1\/4 + 0*y.\nAnswer: (y - 1)*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 84 = -9*c. Let t be (c\/2)\/((-12)\/6). Calculate the highest common factor of t and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*f*r*v**3 + f - 2*r*v**2 - 3*r*v + 14 wrt v?\nAnswer: 162*f*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -682, -554, -426, -298, -170?\n\"Answer: 128*t - 810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 4 - (-1 - 14). Let s(q) = q**3 - 13*q**2 + 12*q + 3. Let r be s(d). Let z = -2947 + 2956. What is the greatest common factor of r and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -26*b**2 + 701*b - 47. What are the prime factors of j(23)?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/2 and (-267)\/4*(-163)\/(-19560)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 6*h**2 - 7*h - 8. Determine x(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 7:40 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 9.3. Let p = q - -0.2. Which is the closest to 1? (a) p (b) -0.05 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 9627*b - 2916972. What is w(303)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 100450 to the power of 1\/2, to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 0 - (-13 - -17 - (-1 + -2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f. Let a(u) = 4*u**2 - 6*u + 1. Let r be (-16 + 4)\/4 - 14\/(-2). Determine r*x(d) - a(d).\nAnswer: -4*d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 52*r**2 - 6*r - 1033. Determine n(-52).\nAnswer: -721","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**17\/((m\/m**0)\/m))\/(m**(-3))**(-3\/19))**6 assuming m is positive.\nAnswer: m**(1884\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 8, z: 1, h: 3, n: 4, w: 3}. Give prob of picking 2 n.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqvteqteeveq. What is prob of picking 2 e?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -30 - (-1 + 1 + 0). Let q be w\/9 + 2 + 2. Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from trmtrttm. Give prob of sequence mtm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*g = -29*g + 132. Is (g\/(-55))\/(4\/(-670)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, a: 3, v: 4, l: 1, j: 1}. What is prob of picking 2 v and 1 a?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 569347581 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 952 is divided by 96.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 7*s + 8. Let z be c(7). Let q(g) = -2*g**2 + g**2 - 7*g - z + 2*g**2. Is q(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -25*i + 972. Give l(43).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 303022 (base 11) to base 8\nAnswer: 1667402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 494531146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10934604.\nAnswer: 2, 3, 17, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 6*w**2 - 5*w + 3. Let n be f(-6). Let q = n + -18. Calculate the remainder when 55 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 663137914?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12221 (base 3) to base 13.\nAnswer: -c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/((-234)\/(-4)))\/(((-11264)\/(-792))\/64).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + (-14)\/6)*-6. Let m be -3 - -2*(-10)\/i. Solve -m*w - 2 = -10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 679226 or 679225?\nAnswer: 679226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 5*l - 3 - 8*l)*(243*l - 5 + 5).\nAnswer: -972*l**2 - 729*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**4 - 6*m**4 + 0*m**4 + (3*m**3 - 2*m**3 + 0*m**3)*(5*m - 3*m - 3*m) + m**4 + 3*m**4 - 5*m**4 + m**4 + m**2 - m**2)*(1042842 - 312*m - 1042842).\nAnswer: 936*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 6*k**2 + 3\/2*k**4 - 13\/3*k**3 - 1\/5*k**5 + 0 - 100*k. Factor w(i).\nAnswer: -2*(i - 2)*(i - 1)*(2*i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 20911.456 and 7879.\nAnswer: 28790.456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2*((-3*-1*sqrt(200) + -3)*-1)**2*-4.\nAnswer: -14467 + 1440*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-11 + 0 - -3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 o when four letters picked without replacement from oiiioioiiiiooiiiii?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 n when two letters picked without replacement from aboobjajpoppaoonooop.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzzzz. Give prob of sequence zzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -a**4\/21 + 144*a**3\/7 + 62*a**2 + 36*a - 15. Factor s(j).\nAnswer: -4*(j - 217)*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 1, -60, -0.1 in decreasing order.\nAnswer: 1, 3\/4, -0.1, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*m = -4. Let c = 20 - 15. Suppose -3*v + c*b + 28 = 0, v - 40 = -4*v + 5*b. Solve 0 = -2*q + m*q + v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1584) + sqrt(1584)*1 + (0 + sqrt(11))*2 + (sqrt(132)*2*3)\/(-1*sqrt(24)\/sqrt(2)))**2.\nAnswer: 4405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 420189727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -157277\/2301 - -14\/767. Let v = 69 + g. Which is the closest to 1? (a) v (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6.7, 3, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 18. Let n be (-2 + c)\/((-1)\/(-9)). Suppose n*b = 14*b - 210. What are the prime factors of b?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3884 divided by 253.\nAnswer: -3884\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -g - 286, -a + 5*g + 0*g = -274. Let l = -142 + a. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1119 is divided by 140?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 10*y**2 + 27*y - 12. Let d(h) = -2*h**3 + 21*h**2 + 57*h - 25. Let i(r) = 13*c(r) - 6*d(r). What is i(6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 t when three letters picked without replacement from tqttttttttttttt.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*j - 17*j - 31 + 31*j + (-2*j + 0*j + 0*j)*(-1 + 0 - 1).\nAnswer: 5*j - 31","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(2\/11)*x*x*x\/(x*x**(2\/13))*x)\/(x\/(((x\/(x*x**(-2)))\/x)\/x*x))**(-13))\/((x**(-2\/7)*x)\/x**(-5)*(x**(-7)\/x)\/x**4) assuming x is positive.\nAnswer: x**(10324\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/6)\/(8 - (-1813)\/(-222))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n - 216 = -114 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 11*h - 21. Let d be c(8). Let g(v) = 4*v**3 - 3*v**2 + v + 5. Let u(a) = -a**3 + a**2 - a - 1. What is d*u(b) + g(b)?\nAnswer: b**3 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 5*c = 0. Suppose 3*o - 55 - 12 = 5*x, c = -5*o - x + 121. Solve 0*f = 5*f - p + o, -5*p = 2*f + 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 4:37 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7660909 or 9?\nAnswer: 7660909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 894920 greater than or equal to 7159351\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125966, 251949, 377932?\nAnswer: 503915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320 = 8*q + 791 - 343 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -31*y**2\/2 + 22. Let m(o) = -4*o**2 + 3. Let b(c) = 3*c**2 - 2. Let u(n) = 3*b(n) + 2*m(n). Determine s(u(g)).\nAnswer: -31*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0. Suppose 0 = -3*i + 2*b + 167, 5*i = -4*b + 167 + 104. Let r = i - 52. Solve -9 = -s + r*f, 9 = -2*s - d*s - 3*f for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -5*n - 1136. Let r = n + 140. What is the remainder when 150 is divided by r + -2 + 5 + 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.091924262 - -2074.053.\nAnswer: 2073.961075738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.98, 178, -583 in ascending order.\nAnswer: -583, -2.98, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2254, 3615, 5880, 9049, 13122, 18099, 23980?\n\"Answer: 452*f**2 + 5*f + 1797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 186 + -211 + -6 + -86?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 3.1. Let k = 3.4 + y. Which is the closest to -1? (a) k (b) 2\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0016631 rounded to four decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**4 - o**4 - o + 1 - 3 + 0 in the form y*o**4 + v*o**3 + p*o**2 + m + f*o and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 8:20 AM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + -12.2. Let g = r - -11.5. Which is the fourth smallest value? (a) g (b) 3\/4 (c) -3 (d) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 4*a + 248 = 0. Let k = a + -44. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 + 0*f**2 - 11*f**2 - f**5 + f**2 + 9*f**2 + f**4.\nAnswer: -f**2*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 6, -a = -0*b - 3*b - 9. Let i(h) = -h**3 + 10*h**2 + 5*h - 10. Let u(k) = -2*k**2 - k + 2. Let g(c) = b*i(c) - 11*u(c). Give g(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23656)\/(-2957))\/((-168)\/2)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 21*j**2 + 20*j + 1. Let q be a(-20). Solve w = -q - 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 11:55 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -5. Suppose 5*s = -3*u - 12, 4*u - 6*s + g*s - 16 = 0. What are the prime factors of (70\/u)\/(4 - 2)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34606 in 2\/17, -1.8, 2?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iitt when four letters picked without replacement from {t: 11, i: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 15, 4*h - 34 = -3*c - 0*c. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 292444311?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -45*p**3 - 47*p**2 + 5*p - 10. Let r(g) = -22*g**3 - 23*g**2 + 2*g - 4. Calculate -5*r(h) + 2*w(h).\nAnswer: 20*h**3 + 21*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 232274617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 43 (b) 36 (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zm when two letters picked without replacement from {m: 1, o: 1, z: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 - 3*p - 10. Is z(6) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38 - 212.671.\nAnswer: -174.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*4*1\/36?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1150627916 + -4.\nAnswer: -1150627920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 5*d**2 + 5385*d + 5380 = 0.\nAnswer: -1076, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 4*i - 1, z + 8*i = 4*i + 15 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/((k**(2\/5)*k)\/k)*k)*k)\/(k\/(k\/(k**(3\/7)*k*k))))\/(k**(-4)*k**(3\/8))*(k\/k**6)\/k**3*k**4\/(k**(-3)\/k) assuming k is positive.\nAnswer: k**(447\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-14) - (-1)\/(-2). Let p = -0.57 + 0.07. Let t = p - -0.4. Which is the second biggest value? (a) t (b) -0.5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21120749219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2679520\/144 + -1*(-6)\/27. Suppose -2*f = 3*q - 41086 + 3873, -q + n = f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*b + 60 = -0*b, 54 = -4*i - b. Let u(p) = -p**3 - 13*p**2 + 3. Let s be u(i). Solve r = -s*j + 7, 5*j = -3 + 23 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**2\/6 - 2288*x\/3 + 2617472\/3 = 0.\nAnswer: 2288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 75*f**2 + 155*f + 5. Let w(z) = 113*z**2 + 231*z + 7. Let i(y) = 10*m(y) - 7*w(y). Find the second derivative of i(o) wrt o.\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3957803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14.136 - 9.136. Which is greater: q or 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 775 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: Let a(t) be the first derivative of -6*t - 2 - 3\/2*t**2. Let v(f) = 1. Let n(p) = a(p) + 6*v(p). Let l(s) = -6*s**2. What is n(l(w))?\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1573))*-5)**2 + (sqrt(78)\/sqrt(6))**2*2*2.\nAnswer: -550*sqrt(13) + 39402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*v - 20 + 45 + 4*v - 9*v**3 wrt v.\nAnswer: -27*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 1. Let k(i) = -3*i + 3. Let h(p) = 6*k(p) + 17*x(p). Let m be -2*(65\/2)\/(-5). Let r = m + -9. Determine h(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 854 = 709*k - 702*k. What is the remainder when k is divided by 5 + 3*60\/9?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -170, 23, 268, 5, -1 in descending order.\nAnswer: 268, 23, 5, -1, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -520169 (base 11) to base 4\nAnswer: -3023302231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 4*d - 12. Suppose x + 15 = d*x. Suppose s = -i + 4*i - 92, 2*s - 157 = -x*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117039240 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**3 + f**2 + f - 1. Let z(b) = -b + 6. Let w(t) = -t**3 - 3*t**2 + 5*t - 1. Let m be w(-4). Let h be m\/(-15)*(-1 + 16). Let r be z(h). Give o(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -204? (a) -0.5 (b) -2 (c) -5 (d) 0 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 13 = 65*v - 76*v, 5*v = 3*c - 29 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, a: 5, i: 3, q: 7}. What is prob of sequence aqq?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -46 (b) 4 (c) -20\/21 (d) 2\/9 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 111*y**2 + 121*y**2 + 159*y**2 as j*y**2 + k*y + i and give j.\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**3 + 3546*a**2 - 1493888*a - 6032160 = 0.\nAnswer: -2124, -4, 355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -150, -1, 3, 1, -28 in increasing order.\nAnswer: -150, -28, -3, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28.4 + 28.837. Round t to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3004045045 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1*(-16)\/(-40) - 1376\/(-10) is divided by 37.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 441077.7l to millilitres.\nAnswer: 441077700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2 + sqrt(125) + -3*sqrt(125) + -4)*-4 + 1)**2.\nAnswer: 47600*sqrt(5) + 214161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -18*u**2. Let i(w) be the second derivative of -w**3\/6 - 7*w. Give v(i(m)).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b37c1dd - -3?\nAnswer: b37c202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -7) + 80\/(-18). Is 1 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**2\/4 + 3*m\/4 - 315\/2 = 0?\nAnswer: -15, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 5*v - 5*v)*(107 - 5047 - 1002 - 1958).\nAnswer: 31600*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -1\/6 (c) 5 (d) 2 (e) -0.035 (f) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 12*p - 5*p - 3*l = -0*l + 7, 3*p = 29*l + 91 + 78 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17890 and 1018830.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 237845 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8537897 is divided by 33351.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 66 - 183 = -3*w, -2*w - 10 = 0. Does 23 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**7)**10 assuming u is positive.\nAnswer: u**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2038?\nAnswer: 2, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5 + -2*sqrt(108) + sqrt(108))**2.\nAnswer: 36*sqrt(3) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153957747?\nAnswer: 3, 41, 30529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, m: 1}. Give prob of picking 1 m and 1 k.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 8:24 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 99*r**2 - 2*r - 1232*r**3 - 99*r**2.\nAnswer: -1232*r**3 - 2*r + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553289 less than 1553292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -5*c - 248 - 112, 0 = 3*h - c - 226. Let x be 12\/(-66) + 36\/h. Let i = 0.412 + -0.012. What is the nearest to 6 in i, 1\/3, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 37 = -5*w, -5*w + 0*h = 4*h - 41. Solve -b = -2 + w for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**10)\/(u*u\/u**(-9\/2)*u)*((u**(4\/11)\/u)\/u)\/(u**16*u*u))**(-2) assuming u is positive.\nAnswer: u**(355\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**5\/20 - 5*l**4\/12 - 5*l**3\/6 - 3*l**2 + 94*l - 2. Calculate r(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, s: 2, v: 2, e: 1, z: 4}. Give prob of sequence ezn.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2*g = -4*s - 20, -4*g = -5*s + 1. Let c(j) = -7*j**3 - 6*j**2 - 7*j - 7. What is the remainder when c(s) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-54)\/(-4))*(-28)\/((-3584)\/48).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15961 + -8?\nAnswer: 15953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132729*a + 188*a**2 - 132729*a.\nAnswer: 188*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvb when three letters picked without replacement from {b: 6, v: 2, z: 4}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 8*c**2 + 8*c - 3. What is the tens digit of t(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3\/2 + 39*t**2 + 435*t\/2 + 342.\nAnswer: 3*(t + 3)*(t + 4)*(t + 19)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 3:24 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 47, -2\/13, 7.22, -2, -5, 1.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 35 = 5*b, 8 = 3*b - 1. Suppose -5*s + 0*s + 25 = 0. Put m, -6, s in decreasing order.\nAnswer: s, m, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -6*p + 1. What is the units digit of o(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5278978 by 4.\nAnswer: 2639489\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 124\/30 - (-13)\/65 and -31\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 16 = -3*n, 2*n + 4*w = -0*n + 16. Suppose -109*x + 105*x + 892 = n. Is 54 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*a + 8. Suppose -4*f - a + 13 = 0. What is the units digit of -1 + f - (-6 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 665.6771ml to litres.\nAnswer: 0.6656771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151069114.\nAnswer: 2, 7, 19, 71, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*i = 26*i - 9. Let k(l) = -5*l**2 + l + 3. Let g(u) = 4*u**2 - u - 2. What is i*g(p) - 2*k(p)?\nAnswer: -2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 328 + -280. Calculate the lowest common multiple of t and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2279\/(-32224)*16 + (-1)\/6*-3.\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3027*f**2 - 6*f + 8. What is the units digit of i(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 75 - 80. Let v be (-182)\/(-4) - (0 + x\/10). Differentiate -v*p + 30 + 69*p - 10 wrt p.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31400953 is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -696) + 3 + -6. Let p be 15\/(-25)*(-20)\/g. Which is smaller: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*j**2\/5 - 46*j\/5 - 4\/5 = 0. What is j?\nAnswer: -1\/12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4\/3 - 22*b**3\/3 - 56*b**2 - 544*b\/3 - 640\/3.\nAnswer: -(b + 4)**3*(b + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 11:34 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -830 - -1011. Let i = -1.2235768188 - -182.2235747988. Let g = i - s. Round g to 7 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3495, 6807, 10115, 13419?\nAnswer: 16719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(5*(-9)\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 8*o + 9*o = -12, -3*m = -4*o + 10. Let u = -1 - -1. Solve u = -2*c - m - 6 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) 1 (c) 1363 (d) -3 (e) 0.287 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-50)\/25)\/(1\/(-3)). Suppose m*b - 7*b = 5*c - 244, 0 = -5*b + 20. Calculate the remainder when 141 is divided by c.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -2*z + 3*g + 3, 3*z - g + 1 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s - 19. Let c be t(11). Suppose -1\/4*l**c + 0 + 1\/4*l + 0*l**2 = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -283*i + 6. Let v(j) = 28*j. Determine b(v(g)).\nAnswer: -7924*g + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 2:25 PM?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -97277\/3 - -32426. Find v such that -g*v + 4\/3*v**2 + 0 = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/2)*s)\/s**(-8)*(s**(2\/5))**(8\/9))\/(((s*s**(3\/7))\/s)**(-1\/9))**7 assuming s is positive.\nAnswer: s**(917\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*k = -3, 0*k - 2*k = 2*p - 10. Suppose -12 = 3*i, 59 = v + p*i - 14. Calculate the highest common divisor of v and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 1)*(-u + 4 - 4) + (-3*u + 2*u + 0*u)*(3 + 0 - 5) to z + t*u and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(-8\/5)*a))\/a**(-5\/4))\/((a\/((a\/(a\/((a**3*a)\/a)))\/a))\/(a**5*a)) assuming a is positive.\nAnswer: a**(177\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -50\/11 in 2, 2\/17, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -591*s + 582*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 156 + -94. Round l to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -11. Let s = -238 - -239. What is the third smallest value in v, 5, s, 2\/11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cd7 - -30?\nAnswer: -ca7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10.6 - -0.4. Let i = 42.8 + -49. Let t = i + b. What is t rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4 = 0, 0*r - 3*r = -2*u + 7. Sort u, 0, -4, -1 in descending order.\nAnswer: u, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.2 - -2. Let y = -449\/3 - -151. Let l = -2 + 1. Which is the closest to l? (a) 4 (b) o (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n - 7. Is 7 a factor of s(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 154, 220, 178, 28, -230?\nAnswer: -596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 9*x + 3*u + 2368 = 2372, 10 = -x + 3*u for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ox when two letters picked without replacement from {o: 11, d: 1, i: 3, x: 2, s: 2}?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0172421018 rounded to 3 decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 92b8?\nAnswer: 92b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22995350 a multiple of 1002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700)*-2*1.\nAnswer: -20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 24.038*1\nAnswer: 24.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74847 - 12349793\/165. Calculate the common denominator of 161\/30 and q.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0887 rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 108863490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d**3 + d**2 + 8*d - 2. Let p(t) = 11*t**3 + 3*t**2 + 16*t - 5. What is 5*b(x) - 2*p(x)?\nAnswer: 3*x**3 - x**2 + 8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1816522?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 465294, 930579, 1395864, 1861149, 2326434?\n\"Answer: 465285*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*b**4 + 151*b**2 - 151*b**2 + (0*b**3 + 0*b**3 + 4*b**3)*(-4*b - 6*b - 3*b) to z*b**3 + x*b + i*b**4 + d*b**2 + h and give i.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.6 + -2.5988. Round f to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 214065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7682 - -17648. Suppose -5*q + 49950 = g, -3*g - r = -q - 8*g. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p - 1. Let u(z) = -6*z - 10. Suppose -156 - 384 = -5*t. Suppose 2*o + 2*o - 4*n + 140 = 0, -t = 4*o + 4*n. Let r = 41 + o. Calculate r*d(f) - u(f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (2667\/(-23114))\/(3\/(-1274))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.45 in 20\/23, -0.3, -0.1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/(-72) + 4\/16. Let k = 29116014\/187 + -155700. Let i = k - 15\/17. Which is smaller: i or l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2954480267 + 11420.\nAnswer: -2954468847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 306543433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 17.9.\nAnswer: -18.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*p - 12 - 31*p**4 + 27*p**4 + 9 + 5*p**2 + 5 to n + g*p**2 + w*p**3 + o*p**4 + z*p and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 364\/48 + ((-49)\/21)\/7 + -7. What is the second biggest value in 44, -0.3, a, -1\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3662 = 2*c - 2*d + 3640, -5*d = -2*c + 13 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87 - 91.1. Let c = q - -1.1. Which is greater: 4\/9 or c?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 873450482 to the nearest integer?\nAnswer: 29554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57 + 17 - 58 - 67.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*f + 2*k - 0*k, f - 5*k + 5 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7*6*5\/15. Let w be 6\/(-2) + (i - -1). Let f be -4 + (2 - -5) + 81. Calculate the greatest common factor of f and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 399 divide 1733479383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -11. Let l be ((-1)\/o)\/((-2)\/(-6)). Solve 2*d = -l - 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h - 6. What are the prime factors of b(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.2 or 0.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -858231 - -858312.00221. Let w = o - 81. Round w to four decimal places.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 0 - 1\/100*g**5 + 0*g - 28*g**2 - 6\/5*g**3 - 7\/40*g**4. What is a in q(a) = 0?\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-10)\/(y\/y**(-1\/3)) assuming y is positive.\nAnswer: y**(-34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 + -92. Let p = 7 + f. Let r = p - -36.75. Round r to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y - 4*y + 2*y)*(186 - 1248 - 1722 - 75 + 4*y - 58) to g + q*y + v*y**2 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (20\/2)\/(-5*8\/(-260))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*w + 24. Let c = -13 - -16. What are the prime factors of (w\/(-2))\/((-1)\/c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 595*p + 74. Let h be (10\/4)\/((-31)\/(-186)). Is i(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8936 - -18859. List the prime factors of l.\nAnswer: 9923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 307 or -4?\nAnswer: 307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 20.28?\nAnswer: -101.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212203 (base 4) to base 12.\nAnswer: -1517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 8:03 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 9. Let g(o) = 2*o**2 - 5*o + 4. Calculate the remainder when 31 is divided by g(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = 12*i. Suppose 5*l = -3*t + 4 + 8, 2*t - 5*l - 8 = i. What is the third derivative of 0*w**2 - 2*w**4 + 4*w - t*w + 2*w**2 wrt w?\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/11, 2\/225, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u + 4756 + 3629 - u + 883.\nAnswer: u + 9268","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2 - 2*g**2 + 26*g - 34*g. Let y(h) = -5*h**2 - 9*h. Let u be (-74)\/(-14) - 2\/7. Give u*y(w) - 6*m(w).\nAnswer: -w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -3. Suppose -8*o + 13*o = j. Solve c = -0 + o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/4))**19*f**5*f*f*f**(-1\/5) assuming f is positive.\nAnswer: f**(41\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 715128312 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 15.072 * -18.51\nAnswer: -278.98272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67 - 9. Suppose 2*l = 4*z + 40, -60 = -3*l - 2*z - 3*z. What is the remainder when p is divided by l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (2 + -1)) + -10 + 19.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 117282464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 8*z**2 - 3*z - 5. What is the remainder when q(-2) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 6*f + 78. Calculate i(-6).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -16. Let s = j - -1. Suppose s*p = 2*p + 45. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/21624 and 31\/492.\nAnswer: 886584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 142133 and 632412.\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -8*u + 2. Let t(g) = -7*g + 2. Let p(w) = -5*q(w) + 6*t(w). Let d(n) = n - 2. Let x be (-15)\/(-4) + (-27)\/36. What is x*d(m) + 2*p(m)?\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 56858*k - 30415639. Give i(530).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -100*v - 550. What is the thousands digit of y(-39)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/1*(-98073)\/1923?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 68 + 80 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 104.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 2 + 4 - 4)*(16*k**3 - 6*k**3 + 59*k**3).\nAnswer: 69*k**5 + 138*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*h*l**3*u**3 + 15*h*l**3*u + 2*h*l*u**3 - 2*l**2*u**2 - 11*u**2 wrt l?\nAnswer: -90*h*u**3 + 90*h*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 6*t**5\/11 - 48*t**4\/11 - 186*t**3\/11 - 12*t**2 = 0.\nAnswer: -2, -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -4446.9097 to the nearest 10.\nAnswer: -4450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46820 = -23*f - 46797 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11882, -47523, -106924, -190085, -297006, -427687?\nAnswer: -582128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 - 59.5. Let a = l - -105. Let q = -50.4 + a. Round q to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8235*i**3*k*x**2 - 261*i**3*x - 51*i**2*k*x - 5*i**2*x**2 + i**2*x wrt x?\nAnswer: -16470*i**3*k - 10*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4936833 and 50928?\nAnswer: 3183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 5:01 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 0, 72531.\nAnswer: -4, 0, 3, 72531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 684.3563 nanograms in kilograms?\nAnswer: 0.0000000006843563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8347 + 8483. What is the remainder when 1085 is divided by x?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 4*y**5 - 3625*y**4 + 15342*y**3 - 7193*y**2 - 20752*y + 5412 = 0.\nAnswer: -1, 1\/4, 2, 3, 902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4\/3 + 2*c**2 + 4*c\/3.\nAnswer: -2*c*(c - 2)*(c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65.47 - -65.17. Sort -3, -2\/7, p, -2\/5, -0.27 in descending order.\nAnswer: -0.27, -2\/7, p, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313229 is divided by 510?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2\/(-6)*-10)\/(62\/3255) is divided by 93.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/92*((36 - 31) + (-273)\/65)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 greater than or equal to 4892?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 619, 621, 623, 625, 627, 629?\nAnswer: 631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = y + 5*v - 59, -3*v + 53 = y. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - s**2 + s + 6. Let h be j(0). Is (-3)\/h*(4 - 122) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.21 in 133\/5, 3\/13, 0.3, -0.5?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 94010201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.01934 from 2.715.\nAnswer: -1.30434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.4 - 6. Let q = h + 3.6. Let n = 3 - q. Which is the nearest to -1? (a) n (b) -1\/10 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 96*u. Let j(v) = -9*v - 11 + 8 + 3. Give j(o(h)).\nAnswer: -864*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2003 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -193\/41820 and -19\/136.\nAnswer: 83640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 5*n**4\/24 + 2*n**2. Let h(q) = 13*q - 26*q + 14*q. Determine u(h(k)).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*w + 15*w + 390 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1269.41 - -1396.7. Let t = -2439.5 + 2306. Let m = t + z. What is m rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 477519 + 5*j**2 - 1054374 + 576855.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 16*k - 87. What are the prime factors of z(-30)?\nAnswer: 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 409, 233, 57, -119, -295?\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010011 + -1010000001?\nAnswer: -1000101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*t**3 - 27*t**3 - 15*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 10 = 5*m, 1 = -r - 3*m - 3. Suppose -2*w + 3*a = -4*w + 3, r = w - 2*a. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 426513 to the nearest ten thousand.\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1452*y - 240 = -1476*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**4 - 4*i**4 + i**4)*(i - 2*i + 2*i).\nAnswer: -3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17334 + 164?\nAnswer: -17150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 16 = -2*f, 0 = -0*a - 3*a - 4*f - 20. Let i = a + 9. What is s in -3*s + 4 + 6*s**2 + 0*s + i*s - 8 = 0?\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 5 = 2*j. Let r(k) = k**2 + 7*k - 6. Let u be r(j). Suppose 2*a = -a - 9. What is the nearest to u in -1\/4, 5, a?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/12 + (-11)\/4. Let q be (-45)\/(-12) - j\/(-4). Suppose -2*y + 4*f + 31 = -f, 0 = q*y + 5*f - 84. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39303678.\nAnswer: 2, 3, 193, 33941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 11*h + 150. Let r = -37 + 45. What is the remainder when w(7) is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 s when two letters picked without replacement from qtmsqyx.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, -0.3, 2\/7, -3414, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 28, 22, 8, -14, -44, -82, -128?\n\"Answer: -4*x**2 + 6*x + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/17 - 4104*y**2\/17 - 2807136*y\/17 - 640027008\/17.\nAnswer: -2*(y + 684)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 215913249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -4744119 < -61673533\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 2\/5, 3, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -2\/3 (c) 3.2 (d) -1 (e) -1\/228\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 241551733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 5\/99 (c) 5 (d) 3.8 (e) -4 (f) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - t - 20. Let m be q(0). Suppose -3*k - 24 = -4*i, 15 = -4*i + 27. Let l = k - m. Calculate the remainder when 79 is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5150038137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6\/251 + -927\/7279. Let h = n + -2\/261. Suppose -10 = 4*a + 5*o, -a + 4 = 4*o + 12. Which is bigger: h or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3451391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/5, 1761, -1.\nAnswer: -1, -2\/5, 1, 1761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*o + 2*o - 7*o + 39 + 250 + 3 as s + f*o and give s.\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (4 + -1 + 0) - 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6510)\/110 - (-2)\/11. Let w = -113 - v. Let x be ((-3)\/(-9))\/(6\/w). Which is the closest to 0.1? (a) 13 (b) x (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iikb when four letters picked without replacement from kybkykydiizddb.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2756*q + 21*j + 139*j = -2760*q - 112, -3*q + 56 = j + 140 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -355d4 (base 16) to base 7.\nAnswer: -1600155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04829, 5, 3, 97\/2, -3.\nAnswer: -3, 0.04829, 3, 5, 97\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-4\/13)*t**(-1) assuming t is positive.\nAnswer: t**(-4\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2278 + 1889. Which is bigger: y or -392?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2495a - 3?\nAnswer: -24960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1536662 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 3*m - 114. Suppose 4*z + m = 7*z. What is the least common multiple of 22 and z?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1666, -1665, -1664, -1663, -1662?\n\"Answer: l - 1667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/3)*h*h*h**23\/h*h)\/(h\/(h\/h**(-11))*h)**(-35) assuming h is positive.\nAnswer: h**(-973\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a5 (base 15) to base 6.\nAnswer: 4515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7729, 30531, 68341, 121165, 189009, 271879?\nAnswer: 369781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -39*k**3 + 4*k**2 - 9*k - 1. Let v be b(-8). Suppose -4*g - g = -v. Suppose 0 = -5*m - 4*m + g. What is the highest common divisor of m and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4720 and 654310?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 176770804 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 80*l - 175 + 510 + 1025 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 16*r**2 - 6*r - 2. Let c be x(4). What is the second derivative of c + 238 + 2*n**5 + 3*n**3 - 469 + 40*n wrt n?\nAnswer: 40*n**3 + 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z + 79. Let m(f) = -14*f + 236. Give 4*m(c) - 11*o(c).\nAnswer: -c + 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 30 = 8*d. What is the smallest common multiple of 6*(10\/d - -3) and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -6*n + 2. Let m(z) = -294*z**2 - 277. Determine i(m(q)).\nAnswer: 1764*q**2 + 1664","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7623) + -4*sqrt(7623) + sqrt(7623) + 2*(sqrt(63) - sqrt(252)))\/(-2*(sqrt(45)\/(sqrt(5)*1) - sqrt(9) - (sqrt(9) + -1*-1*sqrt(9)))).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -q**5\/60 + 8*q. Suppose a(l) = 0. What is l?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 405152254 + -120?\nAnswer: 405152134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/16 of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 8, b: 3}. Give prob of picking 2 b and 1 p.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eecbnncnbeen. Give prob of picking 1 b, 1 c, and 1 e.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (2*sqrt(76) - sqrt(76)))**2 - sqrt(38)\/(sqrt(10)\/sqrt(5))*-5.\nAnswer: -3*sqrt(19) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 93 - 65. Suppose -3*g = g - b. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2027285 is divided by 44071.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2224 - 1112 - 122007*k - 1112.\nAnswer: -122007*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60188*p**2 + 48*p + 43*p - 26*p - 60141*p**2 to f + a*p**2 + j*p and give j.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-28)\/70 + (1 - 1). Which is smaller: -1\/3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10392108 + 107*r - 10392108.\nAnswer: 107*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, -2\/3, -3, -1\/3, 3 in descending order.\nAnswer: 3, 0.06, -1\/3, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 215633422 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*r**3 + 2 - 13210*r + 6767*r - 1 + 6648*r to the form n*r**2 + o*r**3 + x*r + b and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 52 = -43. Let j(g) be the second derivative of -1\/12*g**4 + 0 + 0*g**l - 2*g - 3\/2*g**2. Differentiate j(n) wrt n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30420, 60842, 91268, 121698, 152132?\nAnswer: 182570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 857532550 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3392 and 2438?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 153, -57, -329, -669, -1083, -1577?\n\"Answer: -t**3 - 25*t**2 - 128*t + 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y**3. Let w(d) = -d**2 - 1. Let s be w(1). Let b be (-136)\/(-51)*(-3)\/s. Let n(c) = 4*c**3. Determine b*n(j) + 5*k(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express b - 2*b**3 + 5*b**4 - b**4 + 0*b**4 - 5 + 28*b**4 - 5*b**4 in the form n*b**3 + z*b + u*b**2 + r + d*b**4 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(2880) - 3*sqrt(2880)*2)\/(sqrt(250)*2 + (-1*sqrt(10) - sqrt(10))*6))**2.\nAnswer: 64800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - z + 1. Let b(u) = -4*u**2 + 11*u - 11. Let d(s) = b(s) + 6*p(s). Let c(l) = -2*l**2 - 4*l + 4. Calculate 4*c(q) + 3*d(q).\nAnswer: -2*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -332 + 336. Suppose -4*o = z*y - 8, 0 = -3*o - o - 3*y + 8. Solve 7*f - 4*r + 12 = o*f, 0 = -f + r - 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + (-4)\/(-16))\/((-41)\/164). Calculate the greatest common factor of z and 89.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -3 (b) 5 (c) -1\/74 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4645*w**2 + 4578*w**2 - 3*w + 2 + 2*w to the form q + p*w + d*w**2 and give d.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 13\/4, 6584, 0.3, 2, -1\/2 in ascending order.\nAnswer: -2, -1\/2, 0.3, 2, 13\/4, 6584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 - 7\/(504\/400). Let 14\/9*v + 10\/9*v**2 + s = 0. What is v?\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20702, -39965, -59228, -78491?\nAnswer: -97754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22 * -142.\nAnswer: -3124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 3)*(0*w - w + 2*w) - 438 + 438 - 1381*w - 1296*w to i*w + j and give i.\nAnswer: -2678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 6217000 to the nearest 100000.\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/d**(1\/6))*d)\/d)\/(d*d*d**5*d*d*d))**14\/(((d*d*d\/(d**(-2\/9)\/d)*d)\/d)**(-23)\/(((d\/(d**(-2\/5)\/d))\/d*d)\/d)**(-10)) assuming d is positive.\nAnswer: d**(-491\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 53*y**3\/2 + 19*y**2 - 52*y. What is the derivative of s(f) wrt f?\nAnswer: 159","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 5*r - 816. Suppose -4*l = -0*l - r. Calculate the remainder when l is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 19896, 19893, 19890, 19887, 19884?\n\"Answer: -3*a + 19899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 837273 (base 9) to base 11\nAnswer: 30a788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.073432 and 0.8.\nAnswer: -0.0587456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*z + 3. Let l(o) = 3*o**2 - 2*o + 7. Let s(u) = 2*u**2 - 3*u + 8. Let b(k) = z*s(k) + 3*l(k). Differentiate b(c) with respect to c.\nAnswer: 10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 - 1 - 4 - 3*r - r**2. Suppose 4*q = 4*k - 9 + 1, -2*q = -4*k + 8. Suppose 2*y + 2*t - 7 = 9, 0 = -k*y + 3*t - 4. What is p(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - f + 1. Suppose -k - 4*a = -11, 8*k - 11 = 4*k - 5*a. Let n(r) = -6*r**2 - 2*r + 2. Give k*n(t) + 2*d(t).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + v = 4, -t - 2438*v - 58 = -2443*v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3 (b) -1\/2 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 79 + -73. Suppose -i*r = -r - 2*r. Let x = 37\/7 + -206\/35. Which is bigger: x or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -w + h, -5*h - 9 = -2*h. What is the third derivative of -2 - 993*b**4 - b**3 + 996*b**4 - w*b**2 + 0*b**3 wrt b?\nAnswer: 72*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r - 12*r - 14*r to the form j + d*r and give d.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14129 - 2292. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 7 - 43. Let h(p) = 3250*p + 32523. What is the remainder when h(-10) is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*n**3 + 172*n**2 - 88*n - 64.\nAnswer: -4*(n - 8)*(n - 1)*(5*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + (-1)\/(-2)*4. Let v(p) = 0 + 1 - 4*p + u. Is 16 a factor of v(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/14)\/((-12)\/(-28))*3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -9*l**2. Let o(j) be the first derivative of -j**4\/6 + 5*j - 2. Let m(b) be the first derivative of o(b). Give g(m(k)).\nAnswer: -36*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 2 (b) -474 (c) -3\/4 (d) 1 (e) -0.09\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1775617 by -2.\nAnswer: -1775617\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23 + 1440?\nAnswer: 1412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1214 - 109 = 85*o for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-1 - 12) + (15 - 9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 1. Suppose 0*p = m + 3*p + 2, -4*m + 14 = p. Let k be (-1)\/m - 1\/(-4). Determine d(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 664 and 4067.\nAnswer: 32536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**3 + u**2 - 3*u - 5. Let t = -2002 - -2000. Determine k(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4088\/18335 + 12\/965. What is the closest to -0.1 in -9, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15252403.\nAnswer: 31, 492013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -249936 divided by 20828.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-48)*3 + 1396\/16. Let x be (-5 + 3)\/((-4)\/(-18)). Let m = x + p. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 2754?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, c: 4, u: 3}. Give prob of sequence ucu.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1197\/5 + 239. Which is the fourth smallest value? (a) 4 (b) y (c) 3\/5 (d) -12.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -374*x**3 + 370*x**3 - 203157 - 203158 + 406315.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -1763790.15?\nAnswer: 352758.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 16\/(-12) - 9\/(-27).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9562 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**4\/48 + 133*m**3\/2 + 159201*m**2\/2 - 71*m + 3. Factor z(a).\nAnswer: (a + 798)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -256.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.14 - -3005057?\nAnswer: 3005053.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10180370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111011 - 100?\nAnswer: 1110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/1857 - 96554\/9285. Calculate the common denominator of -77\/2 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y + 6. Let l be p(-3). Suppose -s + l - 24 = 0. Let m be (s\/(-6))\/(5\/10). Solve -k + 1 + m = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-72) - (-46)\/12. Let g be (0 + -1)\/(x\/(-68)). Suppose k - 59 = -g. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1642206 (base 10) in base 15?\nAnswer: 2268a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5432 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.6*-2.\nAnswer: -5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 347 = 113. Suppose -w*f = -42*f. Solve f = 9*p - 10 - 35 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -24. Let p = d - 40. Let q = 26.9947 + p. Round q to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from whzpdhwbhpdphhhhh. Give prob of picking 2 w and 1 d.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56267 - 29257. What is the hundreds digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i - i - i + (2*i - 4 + 4)*(5 - 4 - 3) + (23 - 4 + 3)*(i + 1 - 1)*(-3 + 0 + 2)*(-2 + 0 + 4) in the form d + y*i and give y.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 14173.\nAnswer: -2834.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -k**4\/8 + k**3 + 11*k**2 + 3. Let l(p) be the second derivative of w(p). Let h(n) = -n + 1. Determine h(y) - l(y).\nAnswer: 2*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13c - 2?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 354\/25 and 14 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19680? (a) 0.026 (b) -0.6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 33 = -6*u, -3*u + 30728*i + 30 = 30733*i for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.09, -1 in ascending order.\nAnswer: -1, -0.09, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*g**3*v**2 + 2*g**3 + 2*g**2*v**3 + 15*g*v**3 + 93*v wrt v?\nAnswer: -8*g**3 + 12*g**2*v + 90*g*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3744 = 681*w + 6470523. Is -9507 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 11 = -3*k, -70*k + 68*k - 3*v = -7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*b + 125 + 103, 68 = 2*t + 5*b. Let v = 64 - t. Does 15 divide (-30)\/(-8)*v\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000100110 - -11?\nAnswer: -11000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 235596908?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12122012 + -11032?\nAnswer: -12133044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 5*c + 6. Let a be u(4). Let x(f) = -f - f + 10 - a + 3*f. Suppose 4*h + 8 + 14 = -2*p, h + p = -5. Give x(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 6*i**2. Let c(h) be the third derivative of -h**6\/120 - 7*h**5\/60 + 3*h**2. Let m = 41 - 35. Suppose -13 = -2*x + 1. Give m*c(f) + x*k(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8451252 (base 10) in base 15?\nAnswer: b1e11c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -452*u + 5020*u**2 + 151*u - 159*u.\nAnswer: 5020*u**2 - 460*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 21175164 divided by 4\nAnswer: 5293791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.02681 - 0.17319. What is the nearest to 265 in 1\/5, s, 1\/6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 + 3*k - 34. Let f be c(7). Let g = -68 - f. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134704.\nAnswer: 2, 8419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x - 5. Let r(w) = 5. Let t(f) = -2*r(f) - 3*z(f). List the prime factors of t(-7).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9646045 times -0.6?\nAnswer: -5787627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -106 + 1 - (-5 - -2)*1. Let q = b - -101. Put 4, q, -5 in ascending order.\nAnswer: -5, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 3)*(-145747*y**3 - 2740 + 1706 + 1034 + 0*y**2 + 0*y**2) to the form w*y + b*y**2 + m + c*y**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 116 = -5*u, 3*u - n - 66 = -4*n. What is the lowest common multiple of 2 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1298 + 23?\nAnswer: 1310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/39 and 61\/39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**2\/6 + 9377213*y\/3 - 87932123647369\/6 = 0.\nAnswer: 9377213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -21. What is the closest to 0 in -1, b, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199631 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -m + 2*g + 3, 3*g + 1 = 2*m. Suppose -55 = -3*j + 2*o, 2*j + 8*o - m*o - 54 = 0. Which is smaller: -2 or j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 11:57 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uhwwhhwwuwhwwhwuweww. Give prob of picking 3 h and 1 w.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -56, 0.6, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 k when two letters picked without replacement from skksksxsswxkkssssoss?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 396 and 576.\nAnswer: 6336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**6\/30 - 3*v**5\/20 + v**4\/12 + v**3\/2 - v**2 + 19*v. Find x such that g(x) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*z**5\/7 - 614*z**4\/21 + 148*z**3\/7 + 146*z**2\/21 - 8*z\/7 = 0 for z.\nAnswer: -1\/3, 0, 1\/8, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*r**3 - 35*r**3 + r**3 + (-6 + 0 + 4)*(r - 4*r - r)*(0*r**2 - 3*r**2 + r**2) in the form x*r**3 + l*r + t + c*r**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 178818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47062460 to the nearest integer?\nAnswer: 6860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 5. Which is the nearest to -1? (a) -0.4 (b) 0 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 96, 100, 106, 114, 124, 136?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o - 7*o**2 + 3 + o.\nAnswer: -7*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -8199509 at least -57396562\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5.8 times 0.5\nAnswer: -2.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -37*l - 4. Let s be r(1). Which is smaller: s or -39?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6005*i = 223802 + 202553 for i.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 12 = -2*u. Find the second derivative of 2*p**4 + 3*p**u - 63*p + 54*p wrt p.\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x - 120 = -16*x. Calculate the greatest common divisor of 15 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z - 15. Let j be x(-11). Suppose 0 = -j*f + 41658 - 11411. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -6. Suppose 3*x - 18 = 5*b, 3*b + 24 = 4*x - 0. What is the third derivative of i*j**2 + 3*j**2 - 22*j**6 + 23*j**x wrt j?\nAnswer: 120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 230457, -970, -0.3?\nAnswer: 230457","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14835*a*r**3 + a*r + 39*a - 133*r wrt r?\nAnswer: 89010*a*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -3. What is the common denominator of ((-268)\/(-24))\/(v\/(-2)) and 172\/(-84)*(-6)\/(-6) + (-14)\/49?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85 * 814.2\nAnswer: 69207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e815b - 0?\nAnswer: -e815b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 10*a**2 - 9*a - 13. Calculate l(-9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*p - 23*p - 193981. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*c**3 - 1451 + 1459 + 6*c**3.\nAnswer: 29*c**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2896 + 2892 = s + 3*v, -73*s + 3*v - 958 = 0 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 129950*z**6 + 4*z**5 + z**3 + 21345*z**2 - 44*z.\nAnswer: 15594000*z**3 + 240*z**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 - -41124133?\nAnswer: 41124155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -202*s + 204*s + 4*r - 50, -s = -4*r + 47 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 4 - 7) + (3 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 7:20 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 7*d + 5. Let l be b(7). Suppose 0 = 5*z - 2*k - 37, 0*z + z - 5*k = 12. Suppose 0 = -l*q + 3 + z. Sort 0, q, 5.\nAnswer: 0, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1160 = 822*m - 812*m. Calculate the remainder when m is divided by 52.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3276 and 1456.\nAnswer: 13104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 5:06 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -74*g**2 - 4170*g - 1502. Calculate z(-56).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11037790 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: Does 23 divide 470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 9. Suppose -5*n = -k + 5*k - 10, k + i = 5*n. Does 13 divide -1*n\/6*-93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 110, 159, -1\/3, -2\/3, -5, -381 in descending order.\nAnswer: 159, 110, -1\/3, -2\/3, -5, -381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 8:32 PM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**2 - 11*v + 11. Let t be n(6). Is 13 a factor of (-1 - t)*53\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1785766, 1785789, 1785824, 1785877, 1785954?\n\"Answer: m**3 + 16*m + 1785749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 7. Suppose -u = 2*z + z. Put -3, z, -2 in increasing order.\nAnswer: -3, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -1) + (-1 - -1) + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4923533 - 501.\nAnswer: -501.4923533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 421 + -523?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11*22\/(-2783) + 2120\/(-7452) and -80\/9657?\nAnswer: 86913","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2112724 and 228.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -199.5697645644 + 20.\nAnswer: -179.5697645644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 38441590 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 124\/(-14) - (-941976)\/83349\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -1, -43, 3, -5 in descending order.\nAnswer: 29, 3, -1, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*s**3 + 107*s**3 - 39*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 418.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62055 and 32505?\nAnswer: 682605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sjssjssssssjsssssssj. Give prob of sequence ssjj.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 183.5291t to nanograms.\nAnswer: 183529100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2744841, -2744961, -2745081, -2745201, -2745321?\nAnswer: -2745441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z - 15. Let n be t(-19). Sort 5, 3, n in ascending order.\nAnswer: 3, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*c - 3. Let r = 1 - c. Suppose -r*w + 5 = -1. Calculate the smallest common multiple of 3 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57818, -57988, -58306, -58796, -59482, -60388?\nAnswer: -61538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -132.0542 rounded to zero decimal places?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1640 is divided by 214.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -452798*m**3 - 5*m**2 + 3285712*m wrt m?\nAnswer: -2716788*m - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3780 (b) -12 (c) -40 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7758 - 4170 = 46*k for k.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 4, 43, 0.1, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*b + b**2 - 2*b + 4*b in the form w + z*b**2 + u*b and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 56?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3 = -2*q, -2*q - m + 3 - 2 = 0. Suppose -136 = -q*i - 4*i. Let o = i + -19. What is the remainder when o is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 1, 4\/7 in decreasing order.\nAnswer: 1, 4\/7, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*j - 4*u, 0*j + 2*u + 42 = 5*j. Let d be 13*1*j\/874. Let z = -1\/23 + d. Which is the smallest value? (a) 0.5 (b) 2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015 less than 17?\nAnswer: 17.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -137474, -137467, -137450, -137417, -137362, -137279, -137162?\n\"Answer: s**3 - s**2 + 3*s - 137477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 123.5782 + 0.1218. Let a = 86 - t. Let c = a + 40. What is c rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 490?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-3) + -1)*-1. Let y = 0.5 - 0.4. Sort y, r, -2\/5 in descending order.\nAnswer: r, y, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 296 - 296 - 5*w**3 - 119*w**2.\nAnswer: -5*w**3 - 119*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 854231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6067.\nAnswer: 6067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 2*w**2 - 3*w - 3. Let x be o(4). Suppose -3*a + 4 = 1, -173 = -2*h - 3*a. Calculate the highest common factor of x and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1950 - -3294. Suppose a = 5*u - 2197 - 39, 3*u - y = 3*a. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**2 + k**2 - 2*k**2 - k**2 + 0 + 0 + (-4*k**2 + 8*k**2 + 0*k**2)*(0 - 1 + 0) - k**2 - 2*k**2 + 2*k**2 as d + g*k**2 + r*k and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x - 4*x + 15*x + 53*x to y + o*x and give o.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 2\/8)*(-32)\/36. Suppose -5*u - 2 + 17 = 0. Which is the closest to 0.1? (a) u (b) -1\/4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 252242144 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 657 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 7:06 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((5 + (0 + 2*sqrt(153) - sqrt(153)))**2 - ((sqrt(612)*-1 - sqrt(612))*4 + (((sqrt(612) + 2)*3 - sqrt(612)) + sqrt(612))**2)).\nAnswer: 552*sqrt(17) + 21464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*c - 25. Suppose 3*u - 20 = -c. Calculate the remainder when 13 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.2, -10414, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2\/2 - 3557433*n + 7114863\/2.\nAnswer: 3*(n - 2371621)*(n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -7. Does 2 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*n**2 - 4*n**2 + 16*n**2 in the form b*n + o*n**2 + g and give o.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1867658 to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 225 and 8259725?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n + 4*n + n**4 + (-11 + 2 - 20)*(-n + 3*n - n)*(-2*n**3 - 2*n**3 + 3*n**3).\nAnswer: 30*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -6*j. Let t(a) = -5*a. Let l(u) = -4*k(u) + 5*t(u). Let b(c) = -54 + 54 + 28*c. What is b(l(s))?\nAnswer: -28*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000083235 rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jff when three letters picked without replacement from {f: 3, u: 3, z: 1, e: 2, j: 4, d: 2}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -11*j + 6. Let s(n) = 6*n + 1112 - 2211 + 1096. What is 2*r(h) + 5*s(h)?\nAnswer: 8*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 4*i + 32, 0 = 2*i - 721*a + 726*a + 43 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -98922.45 and -0.08?\nAnswer: 7913.796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lsee. Give prob of picking 2 e and 1 s.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 1 + 17 = 0. Let s(k) = 2*k**2 + 7*k + 16. What is the remainder when 317 is divided by s(v)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-122)\/427 + (-38)\/14 + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 - 3 + 2*u)*(u + 0*u + u)*(-u - 4 + 4) to the form q + v*u**2 + y*u + h*u**3 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34\/5? (a) 0.49 (b) -1\/2 (c) -1\/3 (d) 4 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 94067 to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/119 and -47\/284886.\nAnswer: 284886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3 = -0*f. Suppose -3*r = r + 16, 0 = -z + 2*r + 4. Let x = f - z. Is 2 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -360 divided by 15\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*o**4 + 77772058*o**2 - 546*o + 75496 wrt o.\nAnswer: 48*o**2 + 155544116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**3 + 8*i**2 - 21*i - 2. Is v(3) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {k: 3, x: 1, d: 2, l: 4}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*1*1050\/(-7). Suppose 5*g - s - 195 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4147264 - -0.415. Round k to five dps.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 2321\/121 - (-4)\/(-22)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.881 + -571.119. Let s = 572.0115 + q. Round s to four dps.\nAnswer: 0.0115","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2, -2\/13, 4.8, -1\/5, -6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23993 is divided by 132?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/2*86\/129\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1752\/15 - (-4)\/20. Let q = p - -27. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + sqrt(7) + -2*sqrt(7) + 3)**2 - (-2 + -5 + -6*sqrt(175)).\nAnswer: -10*sqrt(7) + 122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 57, 187, 411, 735, 1165?\n\"Answer: d**3 + 41*d**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 697\/13020 + -8\/217. Let c(w) be the third derivative of -1\/12*w**4 + 0*w - 4*w**2 - 1\/3*w**3 + 1\/30*w**5 + 0 + f*w**6. Solve c(v) = 0 for v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 392782574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1383.8 - 1384. Sort 0.1, 18, v, 1\/4 in descending order.\nAnswer: 18, 1\/4, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vyv when three letters picked without replacement from yyvvvv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -134.1819 - -10.2409. Let c = 124 + w. Round c to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.8083 centimeters to meters.\nAnswer: 0.548083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 24 = -3*s + 12, -s - p + 11 = 0 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 5)*(-2*n**3 - 13*n**2 + 34*n**2 - 49*n**2) + n**3 - 3*n**3 + n**3 + (-3*n**2 + 0*n**2 + 4*n**2)*(0 + 0 - n).\nAnswer: -14*n**3 - 168*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.82 (b) -2\/3 (c) -93 (d) -0.3 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -350, -5, 4 in descending order.\nAnswer: 4, -5, -350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 2, 9 in descending order.\nAnswer: 9, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 z when three letters picked without replacement from ffzjffzfjjfjf?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54 - -54.07. Let i = t - 0.38. Let w = i + 0.01. Which is the second smallest value? (a) -5 (b) 1\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1297547124 to the power of 1\/3, to the nearest integer?\nAnswer: 1091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41503256 (base 7) to base 2.\nAnswer: 1101010101110001000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1539) + sqrt(1539) + 2)**2*-3 + 0.\nAnswer: -18479 - 216*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -649*c + 572*c + 385 = 0. Solve -5*f = -c*d - 45, -6*f + 11 = d - 3*f for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -f**6\/120 + f**5\/15 - f**4\/8 - f**3\/6 - 27*f**2. Give d(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60861 - 128*a**2 - 60861 to the form v + d*a**2 + r*a and give d.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3044 (base 5) to base 12.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**5\/20 + u**4\/3 - 2*u**3\/3 - u**2\/2 + 627*u - 2. Let y(d) = -d**2 - 6*d - 2. Let r be y(-5). What is z(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1552.8 and -143.9456.\nAnswer: -1696.7456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.1 - -4. Let r = 4.78 + 0.22. Which is bigger: i or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.32 rounded to one decimal place?\nAnswer: 8.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of (71937\/12)\/(2875\/100 - 28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**3 - 4*y**2 - 4*y + 2. Let q(s) = -s**3 + s**2 + s. Suppose -3*f + 2*f = -4. Determine f*q(l) + u(l).\nAnswer: -2*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -234, -1691, -5606, -13197, -25682, -44279, -70206, -104681?\nAnswer: -148922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**5\/20 + 11*p**4\/12 - 11*p**3\/6 + 4*p**2 - 32*p. Calculate f(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 10*r - 3. Suppose 4*x + 4*z = 28, 5*x - 20 = 5*z + 15. Give a(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - 21. Let y = 23 - i. Solve -y*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**14\/(j**(2\/39)*j\/j**20) assuming j is positive.\nAnswer: j**(739\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -h**5\/20 - h**4\/6 + h**3\/2 + 3*h**2\/2 - 11*h. Let l be (2\/(-6))\/(4\/24). Give w(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -36. Let q be 493\/11 + 4\/s. Let b be 206\/6 + (-4)\/(-6). Solve -5*d + 4*h = -q, -4*d = -7*d + 4*h + b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -748880951026.\nAnswer: -748880951027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/21*25704\/144. Calculate the highest common factor of 289 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7\/5)*x**(1\/14))**(-27) assuming x is positive.\nAnswer: x**(2511\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(14\/4)\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 294407+-25755\nAnswer: 268652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 14 = -5*b, -b + 3*r - 2 = r for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 0, -3*l + 4*f + 63 = -f. What is the remainder when 566 is divided by l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.8 + 2.799784. What is q rounded to 5 decimal places?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 74540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 107*b - 228. Calculate q(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7532609 + 7532612.061117. Let b = -3.06 + x. Round b to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (61\/1)\/((-3)\/(-3)). Suppose -3*c + 7*c + 18 = 5*n, 2*c = -4. Suppose 0 = -4*q - 0*q + 2*z + 102, n*q = 3*z + l. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-27 - 34 - 17)*(-1 + 1 + z**3) to the form f*z + b*z**2 + x + a*z**3 and give a.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130697?\nAnswer: 7, 18671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 9:49 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 342, 661, 978, 1293?\n\"Answer: -f**2 + 322*f + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -f - 9. Does 11 divide 5278\/6 + (-4)\/f*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, l: 7, s: 8}. Give prob of picking 2 o, 1 s, and 1 l.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/7 - 116*n**2\/7 + 341*n\/7 - 226\/7.\nAnswer: (n - 113)*(n - 2)*(n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g**3 - 25*g + 25*g.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffj when three letters picked without replacement from ffjjjjjj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 338\/17*k**2 + 14820\/17*k + 162450\/17.\nAnswer: 2*(13*k + 285)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*n = 39*n + 68*n - 4023168. What are the prime factors of n?\nAnswer: 3, 10477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 4456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 1:40 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -g**6\/2 + 54*g**5\/5 - 24*g**4 - 2*g**3 + 99*g**2\/2 - 48*g - 2483. Factor x(f).\nAnswer: -3*(f - 16)*(f - 1)**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/3 (b) 5 (c) -7\/2 (d) -30\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 11*n**2 - 4*n + 10. Let g be l(11). Is -34 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 12 = 3*l, 0*o - 3*o = l - 4. Let r = 112 - 99. Suppose -125 = -l*c - r. What is the greatest common factor of c and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4617) - 1*sqrt(4617)*-3 - sqrt(4617))\/(2*(sqrt(108) + sqrt(108)*2 - sqrt(108))).\nAnswer: 9*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 540, 2173, 4900, 8721, 13636, 19645, 26748?\n\"Answer: 547*h**2 - 8*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 times -85.9?\nAnswer: 9019.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 2, 9, 4 in descending order.\nAnswer: 9, 4, 2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-48)\/(-14))*-459*71\/59143.\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4654 divided by 26.\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53 - -53.6. Let t = a - 0.17. Let k = t + -0.42. Which is greater: -0.03 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2944942 to four decimal places.\nAnswer: 0.2945","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 219009 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -17, -3, 31, 91, 183, 313?\nAnswer: 487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1499 plus 0.03496?\nAnswer: -0.11494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p - 64. Let i(y) = -4290 + 4247 + 2*y - 3*y. Give -7*i(n) + 5*l(n).\nAnswer: 2*n - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2086 and 2682.\nAnswer: 18774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, e: 5, q: 10}. What is prob of picking 2 j?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 424\/(-318) + 64\/(-6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 6597977?\nAnswer: 65979770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69336*w**2 - 172949*w.\nAnswer: -138672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 12*g**2 + 11*g - 2. Calculate k(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11453566 bigger than 34360700\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 728 and 2574.\nAnswer: 72072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k**2 - 5*k + 6. Let x be r(1). Let d be 19\/95 + 2\/x. Solve -3\/5*m**2 + 0 - d*m = 0 for m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1238594, 1238593, 1238592, 1238591?\n\"Answer: -f + 1238595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 341 - 346. Let j be (8\/20)\/(26\/(-10)). What is the second biggest value in z, j, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -81*d + 35. Is n(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 248147 and 46920.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 262904737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 4*n + 4*y - 2, -5*y + 5 = -5*n. Let u(j) = -14*j - 3*j + j. Does 8 divide u(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -345040 - -5?\nAnswer: -345031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 455 + -450. Sort 17, -5, k in descending order.\nAnswer: 17, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 51*n**3 + n**2 - 3*n + 3. Let k be o(4). Suppose 4*x + k = 5*p, 0*p - 3*p + 2*x = -1963. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 12. Let l = q - -15. 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: What is 160962 (base 12) in base 14?\nAnswer: 9a746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1661 at least as big as 1662?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/2)\/p*p**(-1\/9))\/((p\/(p\/(p\/(p*(((p\/(p*p\/p**(5\/3)))\/p*p)\/p)\/p*p))*p))\/(p*p*p*(p\/((p\/(p*p\/(p\/p**(-1\/14)))*p)\/p*p))\/p*p)) assuming p is positive.\nAnswer: p**(188\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**3\/9 + 8*c**2\/3 - 2*c - 44\/9 = 0. Calculate c.\nAnswer: -1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7175*-5\nAnswer: -35875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -10*w - 29. Suppose -42*b + 37*b - 20 = 0. Calculate the smallest common multiple of 5 and p(b).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 6:45 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 532?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7, 8, 47, 122, 245?\n\"Answer: 2*m**3 + m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-102 + 171 - 134)*(0*p - 2*p - p) as m + z*p and give z.\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/24 and -24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.12046 rounded to 2 decimal places?\nAnswer: -4.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**3 + 2*f + 1. Let h be q(-1). Let g be (-14 + 5)*(-2)\/3. What is the second derivative of -g*s**2 + h*s**2 + 3*s**2 - s wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-6)\/(-63))\/((-27)\/(-21)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 92 and 42.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - -7 - 0 - 1. Let k be (4 - 0)*c\/4. Suppose -1 = -d - r + 5, 5*r = d + k. Solve 4*j - 3*x + 2 = -5*x, -7 = 3*j - d*x for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2935193 + 1.418.\nAnswer: 2935194.418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 225 and 250?\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85797888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81 - 191. Let c = -77 - f. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1430 and 2854610.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/276 and 111\/630982.\nAnswer: 3785892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 324209*o**2*y**2*z + 54*o**2*y**2 + 99*o**2*y - o*y**2*z wrt z.\nAnswer: 324209*o**2*y**2 - o*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -0*g - 12. Let l(w) = 4*w**2 + 13*w - 13. Let x(m) = m**2 + 3*m - 3. Let j(y) = g*l(y) + 26*x(y). Let o(r) = 5*r - 5*r + r**2. Give o(j(i)).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 9*w**4 - 564*w**3 - 17439*w**2 + 30234*w - 12240 = 0.\nAnswer: -24, 2\/3, 1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/192)\/((-3)\/(-9))*2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 7*t**2 + 1033 - 5*t - 2058 + 1030. Determine u(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((-1 + -3 - -3) + 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1110024*q**4 + 4*q**3 + 30174185.\nAnswer: 4440096*q**3 + 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + -19. Let q(i) = -i**2 + 15*i + 7. List the prime factors of q(o).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, h: 13, w: 3}. What is prob of sequence bw?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.7*-2.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 13. What are the prime factors of n\/(-6)*(-16)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 176 in 3\/2, -3, 4, -0.5, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -461*w - 689*w = 41400 for w.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1368036 and 3585.\nAnswer: 6840180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 159 and 21147.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 123? (a) 1\/3 (b) -34\/7 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4034435 is divided by 245?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00043189 to six dps.\nAnswer: -0.000432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12550 and 1757700.\nAnswer: 441182700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 4 - 11 - 8?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 35 = -5*a, 0 = g - 1 - 1. Suppose -a*m = -947 - 4309. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30411*t*v**2*z**2 + t*v**2*z - 46*t*v*z**2 + 2*t*v - 4625*v*z + v + 2*z wrt z.\nAnswer: -60822*t*v**2 - 92*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14126190*j**4 - 141*j - 23648 wrt j?\nAnswer: -169514280*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, -5, -3, -1, -53 in descending order.\nAnswer: -1, -3, -5, -53, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 9 - 4)*(-136 + 136 + 240*x) in the form p*x + q and give p.\nAnswer: -2880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4\/7 - 6*t**3\/7 + 12*t**2\/7 + 16*t\/7.\nAnswer: -2*t*(t - 2)*(t + 1)*(t + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 560 is divided by 161?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -4*b + 4*j, -6460*b - 3 = -6455*b + 3*j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23386*t**2 - 23386*t**2 - 20*t**3.\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14278624*x**3 + 3126131*x**2 wrt x.\nAnswer: -85671744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 3*p = -4734 + 4712, -2*v - p = -2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -50 + 0*k**2 + 4*k**2 + 4 + 4 + 9*k**2 as y + h*k + d*k**2 and give d.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -57218 + 57254 + (1 - 1 - 31)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 432*v = 433*v - 128500000. Round v to the nearest one million.\nAnswer: 129000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/12 or -20080?\nAnswer: -20080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27.184 - 26.9. Let f = 1.284 - u. What is the nearest to 0.1 in f, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272)*1 + 0 + sqrt(272))*-4 - -5*(sqrt(272) + 1*sqrt(272) + 2))**2*-4.\nAnswer: -4752 - 640*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -7 (b) -1\/5 (c) -0.77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from kjjjkjjkjj.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -92*a - 416 - 872 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-4)*(3 + -5). Let m be 2\/((-2)\/(-3 + x)). Suppose -83 = -m*l + 5. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28\/(-14) - 509*-1. Let f = z + -497. Calculate the greatest common factor of 25 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -37 - y**2 + 54 + 2*y**2 + 3*y. List the prime factors of i(-7).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1157 - 2384. What is a rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 58 = -244. Let r = 93 - a. Let g be (-1)\/((170\/(-4))\/5). Sort g, r, 3 in descending order.\nAnswer: 3, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108372367331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/10 of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126491, -126440, -126357, -126242?\nAnswer: -126095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*q - 16 = -13*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -3*h - 8, 7 = -3*d - 5*h + 4*h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 p when two letters picked without replacement from ueapbepeaear?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -25. Calculate the lowest common multiple of t and (2925\/91 - -4) + (12\/42)\/(-2).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 9) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 9*f = 5*x + 125, f + 125 = -5*x. Sort 2, x, -2, -5 in decreasing order.\nAnswer: 2, -2, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*y + 136. Suppose -y = -8*c + 4*c. Solve 2*i + c = 5*s, 5*s + i + i = 33 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 9*s**2 - 1. Let t be n(1). Suppose 2*v - 2*r + 18 = 0, 5*r = -3*v - 11 - t. Let x be ((-6)\/4)\/(3\/v). Solve -2*k = 2*k - x for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 h when two letters picked without replacement from yhu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3171712447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 = 23*y - y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*j = -6229 + 79981. Let n be -5 + j\/294 - 4. Which is the biggest value? (a) n (b) 0.3 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -80780 and -78458 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - -1*sqrt(1584) - (sqrt(176) + 2))**2 + 5.\nAnswer: -36*sqrt(11) + 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11)\/(-1 - (-2)\/4). Let h be (1 - -1)\/(-2)*(5 + -5). Let t be h\/(5 - (-1 + 4)). Solve -4*s = -5*l - 21, t = l + 3*l + 2*s + g for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(170)\/sqrt(90)*-2.\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -11*c - 423. Let f(d) = 66*d + 2482. Let l(z) = 6*f(z) + 35*r(z). Calculate l(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*2*-3 - (1 + sqrt(2) + 1).\nAnswer: -7*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1405 - 1401. Let d(s) = s - 2. What is d(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 14285*a**2 + 2*a + 49. Let f be r(-7). What is f rounded to the nearest ten thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*x - 2*x + x)*(60 - 220 + 311)*(1 + 0 + 0) in the form q*x + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/(-10)*(-8)\/(-3). Suppose -2*s + 5*s = t*u + 23, 5*u + 25 = 0. Calculate the remainder when 1 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 41, 88, 147, 224, 325?\n\"Answer: b**3 + 40*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, t: 10, c: 2}. Give prob of sequence ctt.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-24)*(-8)\/(-4)*(-144)\/1344.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 153 by -3.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*x - 7*x + 3*x)*(15 + 35 - 13)*(-x + 4*x**2 + x) + 2*x - 2*x - 2*x**3)*(1 + 3 - 3).\nAnswer: -594*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 30370488 divided by 102603?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1370929 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 1597*s - 23. Let k be y(8). Suppose -19*t + 6*t = -k. List the prime factors of t.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 20*k**3 + 3*k**2 + 4*k + 1. Calculate m(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 695 is divided by 692?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -586*z + 2017. Does 4 divide m(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - p**2 - 4*p + 3. Let a(i) = -7*i**3 + 52*i**2 - 4*i + 3. Give a(f) - n(f).\nAnswer: -8*f**3 + 53*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.4 and 524.8345688?\nAnswer: 526.2345688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 15 = 0, -12502 = -4*u + 5*i + 6929. What are the prime factors of u?\nAnswer: 2, 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -47*z**4\/12 + 24*z**3 + 136*z**2. What is the first derivative of a(v) wrt v?\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 31, -11, -89, -215, -401, -659?\nAnswer: -1001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202*y - 12 = 190*y. Let s be 684\/180 - y\/(-5). Put 92, s, 0, -3 in descending order.\nAnswer: 92, s, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - 0.3. Let v = -186 - -2791\/15. Let g = v + 4\/15. What is the closest to x in -0.1, g, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1732 - 1737)*3\/(-25). Factor -21\/5*a - i*a**2 - 6.\nAnswer: -3*(a + 2)*(a + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)\/sqrt(4)*3 - sqrt(52))\/(sqrt(144)\/sqrt(4)).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -98164*l. Let u(t) = -2*t**2. What is b(u(o))?\nAnswer: 196328*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9d7e95 (base 16) in base 5?\nAnswer: 10120242212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 4*x + 1 - 5 = 0, -5*l - 18 = -4*x for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 364 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 344956.6m?\nAnswer: 34495660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1424.137l to millilitres.\nAnswer: 1424137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35056 and 3443.\nAnswer: 385616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/25)\/(21\/1260)*(-4)\/(-6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + 3 + sqrt(6)\/sqrt(2) + (sqrt(3) - sqrt(6)\/sqrt(2)) + 4 + 4*(sqrt(3) + -1)**2*6.\nAnswer: -46*sqrt(3) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + h + 10 = 0, 0 = 5*d - h + 2 - 14. Let u(p) = -75*p - 6. Let t be u(d). Which is greater: -157 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 34 = -54. Let i = g - 31. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 26 - 16 = -x, 4*d + 126 = 3*x. Suppose 664 = x*g - 34*g. What is the remainder when g is divided by 25?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -6*i - 11. Let g(c) = -4 + 11 + 20*c**2 - 4*c**2 - 7. Give f(g(q)).\nAnswer: -96*q**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -112018, 1, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1264?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*x - 454 = 54*x + 366 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from ssswssssswsw?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1977751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 91839.31 centuries?\nAnswer: 9183.931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*sqrt(17) + sqrt(17) - sqrt(119)\/sqrt(7)*-1.\nAnswer: -2 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6370 is divided by 236?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 939?\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-758*p**3 + 9*p**2 + 758*p**3 - 7*p**4)*(0 - p + 0)*(-3 - 4 + 5).\nAnswer: -14*p**5 + 18*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 28, -18, 0.02, -5\/11, -30?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 65*q**2 + 405*q + 9. What is the hundreds digit of l(-57)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 9*m + 2. Let s be (10\/(-8))\/((-6)\/48). What is the lowest common multiple of 22 and w(s)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvyyyvvvllvlw. What is prob of picking 1 y and 1 v?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + 7.9. Let m = -7 + q. Let j = -4 + 0. Which is the closest to 0? (a) j (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from {i: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + 42 - 46 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/(-52)*(-28)\/(-3))\/(13526\/(-87919)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1570*p - 1573*p + 174. Is 18 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 7*k**2 + 9*k - 11. Let q be t(6). Suppose 2*g = -3*h + 1343, -5*g + 3369 = 3*h - q*h. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-35 - (-11 - 19 - -9)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296 = -3*n - 1195. Let v = n - -740. What is the hundreds digit of v\/(-18)*(-52)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**6\/80 - h**5\/5 - 5*h**4\/4 - 4*h**3 + 59*h**2\/2 - 65. Let a(n) be the second derivative of v(n). Factor a(p).\nAnswer: -3*(p + 2)**2*(p + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 38 = -5*a. Let p(z) = z - 3. Let f(t) = -t**3 + 3*t**2 + 2*t - 1. What is the remainder when f(3) is divided by p(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((-3)\/(-153))*20781. Let y(o) = 3 - c*o - 2 - 2 + 139830*o. Let p be y(-1). What is p rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 900 and 24900?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/3, 0.1, -315.\nAnswer: -315, 0, 0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u\/(u\/(u\/((u**(-5)\/u)\/u))))*u*u*u*u))\/u*u**(-4\/5))\/(u**2\/u**1) assuming u is positive.\nAnswer: u**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssbj when four letters picked without replacement from {q: 2, s: 4, b: 4, j: 2}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 10*k + 2. Let x(l) = 3*l**2 + 29*l + 6. Suppose 4*i - 38 = 3*b, 2*i + 0*i - 18 = 2*b. Let f(q) = i*s(q) - 4*x(q). Determine f(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 86461 - 51950. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/173537 and 95\/24741418.\nAnswer: 173189926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*sqrt(98)*-2 + (sqrt(98) - (-2*sqrt(98) + sqrt(98))) + 3)**2.\nAnswer: -28*sqrt(2) + 393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q. Let r(m) = 2*m. Let s(c) = 5*h(c) - 2*r(c). Let u(p) = 40*p**2. Determine s(u(a)).\nAnswer: 40*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*(0 + sqrt(1377) + -1)**2 + (-6*sqrt(102)\/sqrt(6)*3)**2 + -2).\nAnswer: 90*sqrt(17) + 20640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*q + 5505 + 17115. Let w = -748 + q. Calculate the remainder when w is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -296.\nAnswer: -1480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22828 and 39390.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 53359898 (b) -0.1 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) + -2*sqrt(448) + -3)*-6*-5 + -4)**2.\nAnswer: 45120*sqrt(7) + 412036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 3*o - 29 + 19 = -8, -5*r + o = -0 - 18 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by -1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7584 - 1750 = 522*d + 7251 + 1685 for d.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -28*g - 812. What is c(-24)?\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*m**2)*(-2*m**3 + m**3 + 3*m**3) + 2*m**2 - 2*m**5 - 2*m**2 - 1513*m**4 + 127*m**5 + 1513*m**4.\nAnswer: 121*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - (-46)\/(-4))*-2. Let w = -494 - -619. Calculate the greatest common divisor of y and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 743 is divided by 111.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 770 = 5*k - 9*b, 2*k + 3*b = 310. What is the highest common divisor of k and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/14)*o\/o**(-33) assuming o is positive.\nAnswer: o**(475\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((-15)\/55*1265\/(-2990)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c - c - 23*c**2 - 14*c + 5*c + 19 - 69*c**3 + 72*c**3. Calculate k(8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3825229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1830 by -610.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**7\/2520 + b**6\/90 - b**5\/40 + b**4\/6 + 4*b**2. Let l(f) be the second derivative of j(f). Give l(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 119352996?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 1) + -19 + 22.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54867977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -159728, -158678, -157628, -156578, -155528, -154478?\nAnswer: -153428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 128 divided by 16\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 79819 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12101111000022 (base 3) to base 5.\nAnswer: -1213113040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -5*r - 42*i + 45*i, -3*r = 2*i - 9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26304 + -26286. Factor -3\/2*r**2 - 54 + g*r.\nAnswer: -3*(r - 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11347 + -11346.99979226. What is j rounded to five dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13528, -13527, -13526?\n\"Answer: y - 13529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32602038.\nAnswer: 2, 3, 7, 347, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o + 3*o**3 - o - 2*o**3 + 11*o - 7*o.\nAnswer: o**3 + 9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*h. Suppose -2*a + 6 = 0, 3*o + o + 5*a = 35. Solve h = 3*f - o*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38310372.320167 minus -0.4?\nAnswer: -38310371.920167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n + 59. Suppose -3*b = -i + 93, -4*b = -2*i - 0*b + 188. Suppose -3*t + r = 6*r - 72, 4*t - i = -2*r. Is h(t) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-38))**(-9\/5)*(((x**(7\/5)*x)\/x)\/x)**(-35) assuming x is positive.\nAnswer: x**(272\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -746, -2156, -4236, -6968?\nAnswer: -10334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -345180145 by -3.\nAnswer: 345180145\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -2 - (7 - (1 - -3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 18 - 5 = 3*t, 3*t + 3 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19586 and 128.\nAnswer: 1253504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324 = 30*g - 21*g. Let v(l) = l**2 + 0*l**2 - 2*l**2 - l - 1 - 14*l**3. What is the remainder when g is divided by v(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40.2 * 0.5.\nAnswer: -20.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 y when three letters picked without replacement from {y: 4, e: 1, d: 4, n: 3, u: 1}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9826 and 1554242.\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1620836 a multiple of 234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 6*x**2 + 2*x + 2. Let v be r(-6). Let b be (-6)\/5*v\/4. Factor -b*g**3 - 8*g**2 + 0*g**2 - 5*g - g**2 - g.\nAnswer: -3*g*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -388*l - 2 = -191*l - 198*l, 0 = 2*r - 2*l - 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -601*d + 592*d - 72 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -469, -476, -495, -532, -593, -684, -811?\nAnswer: -980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1674 divided by -1\nAnswer: 1674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 375 and 14985.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -9*s**2 + 306*s - 67. What is w(32)?\nAnswer: 509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -39*m. Let u(i) = -132*i**2. Calculate q(u(s)).\nAnswer: 5148*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**2 + x + 4*x + x**2 - 2*x**2 to o*x**2 + u*x + t and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 11. What is the third derivative of 5*p**2 + 3*p**s + 3*p**3 - 3*p**3 wrt p?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.874 - 2.374. Let k = -4.8 - -0.8. Sort i, k, 1\/8 in decreasing order.\nAnswer: i, 1\/8, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5332598908?\nAnswer: 2, 7, 13, 41, 79, 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 32285 = i, -29*i + 27*i = -5*a + 40379. What is the thousands digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1877*f + 1872*f + 980 = 0. Calculate the greatest common divisor of f and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -447\/4 + 112. What is the smallest value in -5, t, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 1 = -3*f. Let h(w) be the second derivative of w**4\/12 + 7*w**3\/6 + w**2\/2 - 2*w. Let z be h(f). Which is smaller: z or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -674 (b) 4 (c) 0.1 (d) 0.3 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 469*q**2 + 11221*q**2 + 6771*q**2 + 10668*q**2.\nAnswer: 29129*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 109, 147, 175, 193, 201?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27740 and 32266?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -42 - 33. Let p = -23 + -2. Let j = h - p. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 187121 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 8, -1\/7, -729 in decreasing order.\nAnswer: 8, 0.5, -1\/7, -729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -186127 and 502293370.\nAnswer: 502107243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - c + 2, q - 5*c = 4*q - 14 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven quarters of a millennium?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 13*d**2 + 0*d + 0*d**4 - 14\/5*d**5 + 30 + 0*d**3. What is the second derivative of n(p) wrt p?\nAnswer: -168*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 33 (b) 0 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -9. Suppose -2*m = -s*m + 13. Which is smaller: 1.4 or m?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*j - 65*j + 8 = 0. Suppose -4*k - 36 = -2*x + 5*x, -k = -5*x + 32. Which is smaller: k or j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 s when two letters picked without replacement from {g: 1, u: 1, r: 1, w: 2, s: 1, z: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 166, 333, 528, 763, 1050?\nAnswer: 1401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i**(1\/2))\/i)**(2\/9)*(i**(1\/6)\/i)\/i**(3\/5)*((i\/(i**(-7)\/i))\/(i*i\/(i**(-12)*i*i)*i))**2 assuming i is positive.\nAnswer: i**(-91\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(400)*4)\/sqrt(8))\/(1*(sqrt(10) + sqrt(160) + sqrt(10)) + (sqrt(100)\/sqrt(90) - sqrt(10))).\nAnswer: -9*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10566282 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14473 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w**2 + 8*w + 9. What are the prime factors of n(-10)?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - (-12)\/18*1602 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 458*i - 458*i + 33*i**2.\nAnswer: 33*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -231, 5324 in descending order.\nAnswer: 5324, -37, -231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -1237685, 3 in increasing order.\nAnswer: -1237685, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 5*l - 4729986, -3*c - c = -2*l - 4729992. Suppose 4*z - c - 517513 = 5*b, -5*b - 1699997 = z. What is b rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 13) to base 11\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -4*b - 72, 2*p + 4*b - 36 = -0*p. Let n = 1249\/4980 + -39\/332. What is the third biggest value in p, -2, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7, -4 in decreasing order.\nAnswer: 7, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7*55\/(-693))\/(4\/(-6))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 660362116?\nAnswer: 2, 977, 168977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*m - 69*m + 4*k = -29, 5*m = 5*k + 30. Find p, given that 20\/3*p - 85\/3*p**2 - 25\/3*p**m + 20\/3 + 5\/3*p**3 + 65\/3*p**4 = 0.\nAnswer: -1, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/2471 + 4953\/27181. What is the fourth smallest value in h, 3, -1\/8, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 6 = 0, 10*r + 52 = 23*r - 23*r - 0*b + 4*b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.028980697 to 4 decimal places.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 - -59. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2895*b**2 + 2891*b**2 + 3*b - 3*b.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 190976412*u**2 + 13244178 wrt u.\nAnswer: 381952824*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 89920 a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -544 + 545. What is the closest to 1\/4 in 5, -2\/19, f?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of h**5\/5 - 736*h**3\/3 + 2690*h**2 + 4631. What is the second derivative of v(k) wrt k?\nAnswer: 12*k**2 - 1472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 56 = 3*j - 84, 4*g = 4*j - 24. Sort 3, 1, 0, g in descending order.\nAnswer: 3, 1, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0)**(1\/2))**(-1\/45)\/(((l**(2\/9)*l*l)\/(l*l*l*l**2*l*l))\/(l\/(l\/((l\/l**(-1))\/l*l)))**(-4\/11)) assuming l is positive.\nAnswer: l**(401\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1205826.01+8340\nAnswer: -1197486.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -z**4\/12 - 4*z - 3. Let n(s) be the first derivative of d(s). Let l(p) = -5*p. Calculate l(n(c)).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219915386?\nAnswer: 2, 19, 5787247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1213 - 1213.5. Put a, -3, -50 in increasing order.\nAnswer: -50, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/104281 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 99*a + 4. Let g(f) = 395*f + 18. Give -2*g(l) + 9*m(l).\nAnswer: 101*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 70 in increasing order.\nAnswer: -1, 2, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -0.02, -0.1, 8, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 + 1818600 - -2) + 6\/(5 - 3). What is o rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**2 + 0*g**2 - 3*g**2)*(-3*g**3 + 3*g**3 - 3*g**3) + 292*g**5 - 250*g**4 + 248*g**4 - 21*g**5.\nAnswer: 265*g**5 - 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a hour in seconds?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1002 - 1?\nAnswer: -1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 700546857.\nAnswer: 3, 23, 89, 114077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 69514 - 12029 = 0. What are the prime factors of l?\nAnswer: 3, 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 3*c = 0, -3*d + d - 545*c + 550*c = 9 + 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s\/s**(2\/7)))\/s**(-5))**(2\/43)*(s**(-1\/3))**42*(s\/(s*s**(-1\/7)))\/(s\/(s*(s\/(s*(s\/(s\/(((s**(-8)\/s)\/s)\/s)))\/s))\/s*s*s)*s) assuming s is positive.\nAnswer: s**(-471\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l + 10. Let t = -8 + 11. Suppose 2*z - 2*b - 6 = -0*z, -2*z - t = b. Does 4 divide y(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1236352\/1211721 + 2\/24729. Find the common denominator of -43\/7931 and s.\nAnswer: 55517","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1033031 (base 6) to base 13\nAnswer: -1a404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 86*i**3 + 2*i**2 - i - 5. Let z(b) = b**3 + 1. Let l(d) = s(d) + 6*z(d). Let q be 20\/(-4)*(2 - (-36)\/(-15)). Is l(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2235)\/(-60) - (-12 + 6). Which is smaller: 42 or w?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -14*l + 17. What is k(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-104328)\/(-14742))\/(2\/13).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(833)*-4)**2 + -4)*2 + sqrt(833) + sqrt(833) + (sqrt(833) - sqrt(833)*-2*1) + sqrt(833) + -5 + (2 + sqrt(833) - sqrt(833)) + -2.\nAnswer: 42*sqrt(17) + 26641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**2 + u - 1. Let g be c(-2). Suppose -3*x + 31 - g = -5*w, -2*w = -3*x + 16. Solve f = x*h, 3*h = h for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - w - 24 = 0, -25*d - 2*w + 8 = -21*d. What is the lowest common multiple of d and 4\/14 - 1168\/(-28)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/17 (b) -4 (c) 15160 (d) 0.037 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -670*y**3 + 317*y**3 + 335*y**3 - 3 + 3.\nAnswer: -18*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b - 7*b = v + 2, 3*v = 2*b - 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**2 - 5*n + 2. Suppose 2*m = -0*m + 16. What is the remainder when c(3) is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence au when two letters picked without replacement from suaauauapauaua?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16631929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggggtggggt. Give prob of picking 3 g.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 229, 435, 643, 853?\n\"Answer: l**2 + 203*l + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 16, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -176.15315 rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46977534, 93955067, 140932600, 187910133?\nAnswer: 234887666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 6. Let i be (-3)\/l + 1\/(-4). Suppose 4 = -4*g + 4*s, -3*s + 0*s + 1 = -2*g. What is the smallest value in g, -5, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*t - 22*t - 48*t + 588 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kbffkffkrrfkf. Give prob of picking 2 r and 1 f.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.01 (b) -1\/8 (c) 4\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, 0, -1, 1\/7, -2\/41, -2174 in increasing order.\nAnswer: -2174, -1, -2\/41, 0, 1\/7, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5*p = -10, 1 = 1201*r - 1204*r + 4*p. Calculate the greatest common factor of r and 435.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 363, 715, 1059, 1395?\n\"Answer: -4*h**2 + 364*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mq when two letters picked without replacement from qnnmnnqyg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/17556192 and 121\/864.\nAnswer: 52668576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34754677, 69509310, 104263943?\nAnswer: 139018576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of f**4\/6 + 47*f**2\/2 + 803*f. Let o(j) = -j. Determine o(r(i)).\nAnswer: -2*i**2 - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 3*l = -6, -30*s + 6 = -32*s + 4*l for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-6)\/2 + 91)*(-1 + 2) is divided by 65?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -389172, -778325, -1167466, -1556589, -1945688?\n\"Answer: v**3 - 389160*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6, -5, -3, 35, 5 in decreasing order.\nAnswer: 35, 6, 5, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*x**5 + 12970*x**4 + 1460*x**3 - 1480*x**2 = 0. What is x?\nAnswer: -74, -2\/5, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -296538, -1186153, -2668840, -4744599, -7413430?\n\"Answer: -296536*w**2 - 7*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2819559482 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232300 = 5*p - 1433257 - 565018. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -292*l - 1630*l + 4304*l + 5309*l.\nAnswer: 7691*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**3\/n*n)\/n*n)\/((n**(-2\/5)\/n*n)\/n))**(-3\/28))**(-16\/9) assuming n is positive.\nAnswer: n**(88\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2431512824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -11 + 8 + 1 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 8 = -2*u. Is 209 + (u - (2 - 2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/4)\/((-1)\/4). Suppose 2677*o - 2681*o = -24. Solve 0 = 2*n + r + o for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 997*g**3 - 17*g**2 - 17*g - 45. Let k(u) = -997*u**3 + 17*u**2 + 16*u + 40. Let a(i) = 8*d(i) + 9*k(i). What is the third derivative of a(o) wrt o?\nAnswer: -5982","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 + 1487. Suppose -3*p + 0*p = l - q, 5*l - 7220 = -5*p. Round l to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1187, 2375, 3563, 4751, 5939, 7127?\nAnswer: 8315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 573.94 + -574. Which is the nearest to -2\/11? (a) -5 (b) 1\/7 (c) j (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h - 24. Let f be a(-8). Let t(p) = -p**3 + p**2 + p + 40. Does 9 divide t(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64308 and 7303152.\nAnswer: 2796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + (sqrt(112) + ((sqrt(112) + (sqrt(112) - (1*sqrt(112) + sqrt(112))))*-6)**2 + -5 - (sqrt(77)*2*1)\/(sqrt(891)*2)).\nAnswer: -1 + 35*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, a: 2, d: 5}. Give prob of picking 2 a.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + j)*(-124*j + 31166 - 977*j - 31166) - 2*j + 2*j**2 + 2*j + (-8*j**2 + 3*j**2 - 4*j**2)*(2 + 0 - 3) - 2*j - 2*j**2 + 2*j.\nAnswer: -1092*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 7*h**2 + 4*h - 7. Let p be d(-6). Suppose 3*t - 46 = -z, -3*z + 28 + p = 2*t. Let o = -1 + t. Is 7 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15535224.3063853 - -15535228. Let m = g + -1.6936128. Let n = -2 + m. Round n to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19760 or 19389?\nAnswer: 19389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 1. Let j = g - 2. Suppose -4*k - 2*d + 320 = -j*k, 4*d - 166 = -2*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*-1 - -1*2. Let c be (9\/(-21) + 1)*5\/(-10). What is the biggest value in t, -5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 236 and 19579858?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4976 and 40?\nAnswer: 24880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -177, -400, -711, -1110?\nAnswer: -1597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -698141*u = -698148*u + 245 for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 1. What are the prime factors of (-2)\/4 - (-25)\/t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 0.37 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 90*w + 2454. List the prime factors of b(22).\nAnswer: 2, 3, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1316671.\nAnswer: 1316671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 2730?\nAnswer: 24570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from gmxgmmgxxgmibgm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 158*g + 3. Let v be i(5). Suppose -2*x + 4*x + 632 = 4*p, 0 = -5*p + x + v. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02 + -0.98. Let o = 3.47 + -5.52. Let l = o + 1.97. What is the second biggest value in w, 0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y - 2. Let k = -10094 + 10095. Let r(a) = a + 1. Calculate k*r(h) + i(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 334*y + 334*y + 35*y**2 in the form z*y + b + i*y**2 and give i.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25 take away -2056691?\nAnswer: 2056691.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/30*((-9)\/(-2) - 3)\/(125\/(-250)). Let p = -1 + 1.2. Put p, 1\/3, m in decreasing order.\nAnswer: 1\/3, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59717751.\nAnswer: 3, 2351, 8467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -14*w + 3 + 33*w - 18*w - 8. Let i be r(-3). Is ((-1469)\/52)\/(2\/i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -86*c - 46*c - 1188 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -474, -475, -476?\n\"Answer: -s - 473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*12783\nAnswer: -1278.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*j = 1 + 13, 2*g - 14 = 2*j. Suppose -3*u - g = -4*x, -4*u - 2 = -3*x - 1. Does 15 divide 8\/(-6)*(-39)\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10 and 1521.341140202.\nAnswer: 1511.341140202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -15. Let m(i) = i + 5. Let p(t) be the first derivative of -2*t + 11. What is v*p(g) + 2*m(g)?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 111*o + 3. Let u(g) = -190*g**2 + 189*g**2 - 1582 + 1582. Calculate u(d(s)).\nAnswer: -12321*s**2 - 666*s - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 185380 * 2.6.\nAnswer: 481988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 8222 divide 1925238854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) -133\/2 (c) 6 (d) -12 (e) 5 (f) 0.2 (g) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + n + 12. Let l be h(4). Let r be 203\/(-98) + (-6)\/(-4). Which is the second smallest value? (a) l (b) 11 (c) r (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36284, -145172, -326656, -580742, -907436?\nAnswer: -1306744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -255 + 258. Let o(f) be the first derivative of f**4\/4 - 2*f**3\/3 - 2*f**2 + 2*f + 22. Determine o(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 9*n**2. Let p be j(1). Suppose 6 = 5*v - 9. Suppose -4*a = 12, 2*a = -v*i - 0*a + 48. Calculate the highest common divisor of p and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 1 - 8 = -n, -n - 5 = k. Let z(t) = -4*t**3 - t**2 - 2*t - 1. Is z(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 6*h - 1. Let j be r(0). Calculate the common denominator of (1\/(-2) - j) + 531\/27 and -19\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.014133*-1.\nAnswer: -0.014133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/4*150\/(-2 - 13). Solve -r = -d, 0 = 3*b - 7*b - 5*d + 25 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1082 + 1126. Suppose 0 = 3*g - 3*w + 15, 10 = g + 7*w - 3*w. Calculate the remainder when f is divided by (-4 - g - 13)\/(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4139 is divided by 32.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 7:04 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (-3 + 7 + -4 + 1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123563033.\nAnswer: 11, 251, 44753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 4*d = -12, 10 = 2*i + 2*d. Solve 2*o - 4*h - 1 = -5, -i*o + 3*h = 5 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**2\/2 + 3023*h\/2 + 9051 = 0.\nAnswer: -3017, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 12*d**3 - 47*d**2 + 13*d + 16. Let p be a(6). What is the greatest common factor of p and 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t - 4. Let c(n) = 5*n + 3. Let d = -515 - -511. What is d*c(k) - 3*a(k)?\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -70*p - 140. Let l(r) = -15*r - 28. Determine 11*l(h) - 2*m(h).\nAnswer: -25*h - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.793 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -492590 (base 10) to base 5.\nAnswer: -111230330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 1145690.\nAnswer: 114569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -83*t - 2. Let o be a(-4). Let n be (-100)\/o*12\/(-10). Factor 2\/11*l - 2\/11*l**3 + n*l**2 - 4\/11.\nAnswer: -2*(l - 2)*(l - 1)*(l + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (-5)\/(20\/372). Let o be (-1)\/(-2 + x\/(-46)). Let v = -10 + o. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o*(o*o**10*o)\/o)\/o))**(5\/2) assuming o is positive.\nAnswer: o**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -169 divided by 1?\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 56?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + 0. Which is the smallest value? (a) 0 (b) -4\/7 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.101979 centuries in months?\nAnswer: 7322.3748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b + 3. Let n(p) = 2*p**2 - 1355 + 3*p**2 - 6*p + 2702 - 1355 - 6*p**2. Give -4*n(h) - 11*z(h).\nAnswer: 4*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 3*(-6)\/4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.6 - -8. Let v = -10.4 + w. Which is the fourth smallest value? (a) -3\/8 (b) v (c) 1\/4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-185)\/222)\/((-25)\/(-10))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 111, -1\/8, 0, 15\/4 in ascending order.\nAnswer: -1\/8, 0, 15\/4, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 118.9 - 129. Let y = 10.4 + k. Which is the fourth smallest value? (a) 0.1 (b) -3\/2 (c) 0.06 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y**4 + 989*y - 994*y - y**4)*(1 - 3 + 1) in the form z*y**2 + m*y + l*y**4 + o*y**3 + x and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, z: 3, j: 4}. Give prob of sequence pppj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 365053 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1594*o**3 + 406*o**2 - 2?\nAnswer: 9564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.536 (b) -1\/18 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 147603 (base 11) to base 16.\nAnswer: 3811d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 207*r**3 - 6*r**2 - 1. Let h(v) = -622*v**3 + 20*v**2 + 4. Determine 3*h(o) + 10*n(o).\nAnswer: 204*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*(2 - 540\/16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 14.7.\nAnswer: -58.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3679 is divided by 308?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b**2 - 4031*b\/4 - 28 = 0 for b.\nAnswer: -1\/36, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/144 and -29\/198.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -106 + 112. Let l be (-39)\/252 - q\/63. What is the closest to l in 0.2, 0.7, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a year?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 19*d**2 - 2 + 4 to g*d + x + w*d**2 and give w.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttcftccftftfcc. Give prob of picking 3 t and 1 c.\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -10001101011001?\nAnswer: 10001101010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 167 in -1\/8, -2\/11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.4 - -3.9. Let w = h - -4.5. Let n = -0.7 + -0.3. Which is the second biggest value? (a) n (b) -1\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 10*y + 11144. Let q(v) = -3*v + 6. Determine q(s(x)).\nAnswer: -30*x - 33426","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of x**4\/24 - 2*x**2. Let p(u) = 2*u**2 + 25*u - 25*u + u**2. Calculate p(o(b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -25. Let g = f + -11.45. What is g rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*n = 114. What is the common denominator of (n\/4)\/(15\/(-4)) and -7\/33?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/35 (b) -0.3 (c) -6105\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 4*b**2 + 2*b - 1. Let u be 564\/36 - 8\/(-6). Let q = 15 - u. Calculate k(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a milligram in micrograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -18600 times -3183?\nAnswer: 59203800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pajpjcasm. Give prob of sequence pj.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 444716408 and 2921?\nAnswer: 2921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7029.8*0.1.\nAnswer: -702.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-11) + 266\/616. What is the closest to 2\/5 in -5\/6, 0.3, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - ((-39 - (-14 - 3)) + 10)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 + 59. Calculate the greatest common factor of 36 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 14 (b) 0.033 (c) 4\/3 (d) 1\/2 (e) 0 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 19*u - 54. Let q be m(3). Solve 3 = -2*f + q*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.04 + -0.06. Suppose 3*u - 18 = -2*h - u, -5*h = u - 72. Suppose -3*z = -0*z + h. Put j, -0.2, z in descending order.\nAnswer: j, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 20.6 and 1927686419896.\nAnswer: 1927686419916.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((-1 - (-11 - -2)) + -99 + 102).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -20599 to the nearest 100.\nAnswer: -20600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82345 is divided by 1115?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*c**3 - 7*c**3 - 6 - 5*c**3 to b*c + p + n*c**3 + y*c**2 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182492 is divided by 5654.\nAnswer: 1564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 4 - 0. Suppose 0*d + 2*v + 11 = d, d + 2*v + j = 0. Suppose 0 = -4*r, 0*r - 75 = -d*p + 3*r. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, j: 1, g: 5, y: 2, s: 6}. Give prob of sequence gs.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3009 + 2952. Is r != -75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8524.1 - 8524. Sort -2, -0.2, q, -48, 5.\nAnswer: -48, -2, -0.2, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 5*p + 6, 4*p - 4 = 2*m - 5*m. Let o(b) = -b**2 + 3*b + 2. Let i be o(m). Let u be (0\/(-2 + 4))\/i. Solve c - 4*c - 15 = u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 4:13 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 7*g - 14. What are the prime factors of x(-12)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/20 and 161\/156.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) 0.3 (c) 35.6 (d) -5 (e) 0.073 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*m + 314318 - 315038 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7171 and 2.\nAnswer: 1.4342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 5*q**2 - 9*q + 20. Let v be b(6). Let s(z) = -z**3 - z**2 - 1. Let l(u) = 10*u**3 + 8*u**2 + 9. Calculate v*l(m) + 18*s(m).\nAnswer: 2*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, o: 2, z: 1, f: 1, t: 2, x: 2}. What is prob of picking 1 z and 1 t?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 86, 215, 396, 629, 914, 1251?\nAnswer: 1640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 492*q - 6 = -2*a + 496*q, a = 5*q + 6. Solve 6*g - 5 = a for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -5*d**5 - 25*d**4 + 15*d**3 + 205*d**2 + 290*d + 120 = 0.\nAnswer: -4, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 345532080.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**1*l*l*l)\/(l*l**(-3)))\/(l\/(l\/l**17)*l*l*l\/((l**(-5)*l)\/l)) assuming l is positive.\nAnswer: l**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f - 3*f**3 - 197*f**2 + 198*f**2 + 3*f to the form i*f**3 + n*f + t*f**2 + b and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30 or -18851\/627?\nAnswer: -18851\/627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1018209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (sqrt(17) - (3 + sqrt(34)\/sqrt(2))))*3 + ((4*sqrt(612) - sqrt(612))*6)**2.\nAnswer: 3*sqrt(17) + 198279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 3:37 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 0 + 5*r**3 + 4 - 6 - r. Let b be p(1). Determine a, given that a**4 - 1\/4*a**5 - 5\/4*a**b + 0*a + 1\/2*a**2 + 0 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7 - 10 - 113*x**3 + 11*x**2 + 1 + 13*x**2 wrt x?\nAnswer: -678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 333870 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462137502 is divided by 241.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 651\/(-217)*(8\/(-70))\/(54\/45)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24917\/6 + 8305\/2. What is the nearest to -2 in 3, n, -5, -0.0485?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3187 is divided by 500.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 1)*(-95 + 504 + 87)*(2 + m - 2) to the form k + x*m and give x.\nAnswer: 992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*i - 2*i. Suppose 0 = -2*z - 2*z + 8. Suppose 6 = z*t + 2, i*x + 3*t = 751. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*g = -6. Suppose -5*l = -g*l - 4. What is the units digit of 5\/(-5)*l*-14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/32, 0.1, -0.1, -1\/7 in decreasing order.\nAnswer: 0.1, -1\/32, -0.1, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -19*u**2 - 2223*u + 12. What is c(-117)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -78789334 less than or equal to -78789338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 189877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15119 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5540 (base 6) in base 14?\nAnswer: 67a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 9*i + 14. What is the remainder when 55 is divided by v(9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -287*c**4 + 110427*c**3 - 975856*c**2 + 47340*c = 0.\nAnswer: 0, 2\/41, 9, 2630\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 4:19 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 3*h - 42, 2*h - 4 = h. List the prime factors of 0 - 16\/(-12)*n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*s + 5*s - 182 + 120 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1042 + 931. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4382250020 to the power of 1\/2, to the nearest integer?\nAnswer: 66199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1474?\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2077*x**5 + 1303*x + 1?\nAnswer: -41540*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 66*o - 7. Suppose -i + 1 = -3*t - 13, -4*t = 5*i + 6. Let s be (-6 - -5) + 8\/i. Is b(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 48*r. Let c(z) = 34518*z. Give x(c(i)).\nAnswer: 1656864*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31847683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-338)\/6 + 1 + 4\/(-6). Let s = -38 - z. What is the remainder when 160 is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1355.3 - 1355.62. Which is the third biggest value? (a) 5 (b) -0.02 (c) p (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -22258*b - 1. What are the prime factors of z(-2)?\nAnswer: 5, 29, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 219.506814ns?\nAnswer: 0.000000000002540588125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 54 (b) -6377347 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/8100 and 139\/181440.\nAnswer: 907200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 990 and 90?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 16 = -7, -5*a - 4*b = 27. Let z = a - -1. Let r = z + 7. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 241748442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -259.0988 - -259. Let k = c + -0.7602. Let s = k + -0.051. What is s rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 - 54.9. Which is the nearest to -0.2? (a) l (b) -11 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 20 + 24 = 0. Suppose 13 = -o*k + 53. What is the greatest common divisor of 30 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f - 5 = -13*f. Let w(l) = -24*l**4 - 4*l**3 - 4*l**2 + 12. Let m(o) = -o**4 - o**3 - o**2 - 1. Let j(n) = f*w(n) + 4*m(n). Differentiate j(q) wrt q.\nAnswer: 80*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 50490859?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + -3)*(280 + -3). Let a = 482 + w. Does 41 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 89630 - 2?\nAnswer: 89628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 1491608.\nAnswer: 7\/1491608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 6*b + 1. Give z(8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 10, 22.2, 3\/20 in descending order.\nAnswer: 22.2, 10, 3\/20, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 20 + -2 + -24.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 47\/(-423) + 33\/(-189). What is the closest to -7 in s, 0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 0*w**5 + 0*w**3 + 0*w - 8*w**2 + 1\/84*w**8 - 1\/6*w**4 + 0 + 0*w**6 + 0*w**7. What is the second derivative of u(j) wrt j?\nAnswer: 80*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from saaiiei. Give prob of picking 2 a and 1 e.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.0482 from -628302.\nAnswer: -628300.9518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-722))\/(2400\/(-45600))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*b + 0 + 0)*(-4 + b**2 + 4) - b**3 + 2*b**3 + 0*b**3)*(50*b + 85*b + 32*b).\nAnswer: -167*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -10*t**3\/9 + 26654*t**2\/9 - 63920*t\/9 + 21304\/9 = 0.\nAnswer: 2\/5, 2, 2663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j + 0*j - j)*(15*j + 5 - 5) to the form x*j + r*j**2 + q and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ec when two letters picked without replacement from {n: 1, o: 1, c: 2, d: 1, e: 4}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1825782.\nAnswer: 2, 3, 7, 29, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 31*a + 222. Give p(-17).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -2 - (4 + (-1)\/(-6))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 78486, 156925, 235354, 313773, 392182, 470581?\n\"Answer: -5*w**2 + 78454*w + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 179b2 (base 12) to base 16.\nAnswer: 85d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1320105 (base 8) in base 14?\nAnswer: 98525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.02 (b) -0.5 (c) 7059 (d) 1 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - -2 - -36) + 1. Let n = 9 + m. Suppose 2*p = -6, p = -0*y + 2*y - n. List the prime factors of y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 266 - 265.677. Let o = d - -0.177. Which is the nearest to -1? (a) -3\/4 (b) o (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*v - 14*v - 18 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 24 - 12 + 6*g**3 + g**4 in the form u + j*g**3 + m*g**2 + s*g**4 + b*g and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113787145.\nAnswer: 5, 2411, 9439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -5*y - 40. Suppose -4*m = -8*m - 68. Does 12 divide z(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 318 - 313. What is the nearest to z in -1\/2, -2\/7, -7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 11:37 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, q: 1, l: 1}. Give prob of sequence aq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vpp when three letters picked without replacement from cckcvkccppcccc?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 536838.2ml to litres.\nAnswer: 536.8382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**2 + 30*r - 31 = 0.\nAnswer: -31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132561, -132571, -132581, -132591?\nAnswer: -132601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(64)\/sqrt(8))*1.\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -42?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -65555.9160329345 + 1.2152429345. Let m = -65567 - f. Let x = m - -12.3. Round x to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 502174, 1004362, 1506548, 2008732, 2510914, 3013094?\nAnswer: 3515272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -627*j**6 + 92*j**6 + 22*j**2 + 8 - 694*j**6 wrt j?\nAnswer: -147480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*((-135)\/(-12))\/(-3). Let z be (2\/5)\/((-3)\/j). Solve z*x - 1 = 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-6)*(-9 + 147\/14). Put 2, -2, o, 5 in descending order.\nAnswer: 5, 2, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 6*v**2 - 3*v. Calculate the least common multiple of 6 and u(2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*f - 203 = 0, -z - 5*f = -3*z - 132. Round z to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 a when three letters picked without replacement from aywyaayyaytyyw.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = t + 6. Suppose -i - 4 + 0 = -4*a, -t = 4*i - a. Suppose -72 = -3*b - i*b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -108.7 - -104. Let p = r - -38.7. Let v = -33.997 + p. What is v rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, b: 5}. What is prob of sequence bbxb?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 2:41 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 240\/(-5) + -11 + 91\/(-3)*(-36)\/84?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/1974 and -55\/1497.\nAnswer: 985026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + m - 1. Let a(x) = -5*x**2 + 10*x - 10. Suppose -294 = -13*n - 281. Calculate n*a(g) - 10*b(g).\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3570, -3564, -3548, -3516, -3462, -3380?\nAnswer: -3264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -9738*a**4 + 0*a - 2*a**2 + 2*a**3 + 9737*a**4 + 0*a + 2*a**3 + 78 as w*a + m + v*a**4 + z*a**3 + c*a**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 110.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - -346563?\nAnswer: 346603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -4453?\nAnswer: -4458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 178 - 184. Let q(j) = -6*j**2 + 54*j + 77. Let i(x) = -2*x**2 + 18*x + 26. Let y(u) = z*q(u) + 17*i(u). Factor y(h).\nAnswer: 2*(h - 10)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -8) + 83 + -59 + -68.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + -4)\/(((-12)\/(-16))\/1). Let f be -3 - q - (-135)\/(-25). Which is the smallest value? (a) -4 (b) 0 (c) f (d) -1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -16*m**3 + 58*m**2 + 14*m - 132 = 0.\nAnswer: -11\/8, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*y + 7*y, 3 = -3*y - 3*x. Let u(g) = g**3 - 3*g**2 - 3*g + 3. What is the units digit of u(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1375627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 3:12 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*h = -4*h. Which is the closest to h? (a) -1\/3 (b) 2\/5 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55633307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31240 and 32120.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -2*p**3 - 19*p**2 - 24*p. What is the tens digit of u(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h*h*h\/(h\/(h\/h**(-8)*h))*h))*h**(-5)*h)\/(h**(-1\/3)\/(h*h**4\/h))*((h**(-2\/7))**(44\/3))**(1\/28) assuming h is positive.\nAnswer: h**(646\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**2 + 2*s**2 - s**2 - s**2 + 3 - 3 + (-2*s + 5 - 5)*(2*s + s - s) - 4*s**2 + 10*s - 10*s.\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 10*i**2 - 8*i - 10. Let v be w(9). Let f(b) = -247*b**2 + 3*b + 2. Let u be f(v). Let m = -165 - u. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -297*s + 10. Let y(o) = o - 1. Let f(d) = h(d) + 5*y(d). Is f(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 397\/4 + 1\/4*z**3 + 795\/4*z + 399\/4*z**2 = 0. What is z?\nAnswer: -397, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -10*q**3 + 2*q**2 + 2*q - 2. Let p(w) = -120*w**3 + 25*w**2 + 25*w - 25. Calculate 25*k(h) - 2*p(h).\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1, -4\/3, -1\/7, 10\/8601.\nAnswer: -4\/3, -1, -1\/7, 10\/8601, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2 + 3 + 5 + 7 - 14. Let w(d) = d - 7. What is -35*a(g) + 5*w(g)?\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**7\/168 + o**6\/40 - o**5\/80 - o**4\/16 + 15*o. Factor t(k).\nAnswer: k**2*(k - 1)*(k + 1)*(k + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*h + 11*h - 104338. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, -0.012, -1081, -49?\nAnswer: -1081","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*a = 6*a - 224, -5*a + 40 = x. Suppose -o - 15 = 4*s, 5*o + 8*s = 3*s. Solve x = 4*v + o*u, 5*v = -5*u + 2 + 48 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -7. Let f = v + -1.5. Let g = f + 4.584. What is g rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/3, 3.89, 1 in descending order.\nAnswer: 3.89, 1, 1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19924475, -19924479, -19924483, -19924487?\nAnswer: -19924491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**4\/t)\/(t\/t**(3\/2)))**38 assuming t is positive.\nAnswer: t**133","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -681, -676, -671, -666, -661, -656?\n\"Answer: 5*x - 686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 210*v**2 + 85*v - 85. Let s(f) = 15*f**2 + 6*f - 6. Give -85*s(o) + 6*x(o).\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b**2 + 5*b + 5. Suppose -2*p = 6*p + 16. Let d(o) be the third derivative of o**5\/20 - o**4\/12 - o**3\/3 - 2*o**2 - 3. What is p*j(m) - 5*d(m)?\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 10 = 4*g, 61*a - 63*a - 2*g = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15941533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 462 and 658581.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 395 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 45 = -0*v. Suppose k - g = 3, 5*k + 2*g = g + v. Let q be (-1 + 1)*(-3)\/6. Solve -k*j + 4 = -q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 431611 (base 14) in base 11?\nAnswer: 1310932","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 289*n**4\/6 + 373*n**2\/2 - 2*n + 232. What is the first derivative of o(c) wrt c?\nAnswer: 1156*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + l)*(0 - 3 + 4)*(-16201 + l**2 + l + 32500 - 16276 - 177*l**3).\nAnswer: -177*l**4 + l**3 + l**2 + 23*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.500673 plus -25.1616?\nAnswer: -20.660927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 13, 2, -0.06, 2\/5, 25, 0.07 in decreasing order.\nAnswer: 25, 13, 2, 2\/5, 0.07, 0, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/10)\/(17 - 9392\/560)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 848 = 5*w + 133. Let u be ((-13)\/(-39))\/((-1)\/(-3))*3. Suppose -6 - 12*q**2 - w*q**u + 8*q + 140*q**3 - 23*q = 0. What is q?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9355069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -8303.588676 to the nearest 10.\nAnswer: -8300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 7*s - 10. Let a = s + 2. Let k be (-4 - a)\/(2\/28). What is the highest common divisor of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 11:24 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -523, -1089, -1743, -2533, -3507, -4713, -6199, -8013?\nAnswer: -10203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -z, -2*q = -z - z - 63 + 65 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -64621*c*m + 746*m + 7 wrt c.\nAnswer: -64621*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 19006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-10 - -15) - (-4620)\/(-77)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 960 and 3570?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x - 2 = 17*x. Suppose -3*g = x*c - g - 384, 3*g = -5*c + 950. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*y + 417, -5*y - 1283 = 3*z - y. Let r = z - -446. Solve -4*d - 5 = -r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180155 plus 417881?\nAnswer: 598036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -128 - -58. Let r = w - -73. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-0.0285.\nAnswer: 0.00855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 - (-161)\/(-28) - 905\/(-1200). Let f(a) be the third derivative of 0*a + 0*a**3 - 1\/90*a**5 + 0 - 1\/144*a**4 + 2*a**2 - m*a**6. Factor f(t).\nAnswer: -t*(t + 1)*(3*t + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*l - x, x + 2*x + 3 = 0. Let u(r) be the first derivative of 7\/3*r**3 - 2 + 0*r + r**l. Factor u(i).\nAnswer: i*(7*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 4:58 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000000100000010 (base 2) in base 11?\nAnswer: -228a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.24548 - -0.14548. Sort 0.4, b, -56, 2\/7, 3.\nAnswer: -56, b, 2\/7, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27969696837 + 27969696837 - 3*b + 3*b + 174*b**3.\nAnswer: 174*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -16*m**2 + 25*m + 11. Let s(g) = -3*g**2 + 5*g + 2. Let a(n) = -2*p(n) + 11*s(n). Let r = 8 + -2. Give a(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106 divided by -1.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 219\/(-1387)*(-160)\/(-6) + (-20)\/(-5)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 33*p**2 - 283*p - 343. Calculate d(-13).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 44 - -137476?\nAnswer: 137542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 123236?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -345772, -691544, -1037316?\nAnswer: -1383088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8230871 to the nearest integer?\nAnswer: 2869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 118 and 177.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 9*w**2 + 9. Give h(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 + ((-160)\/(-4))\/5. Let p(q) be the first derivative of -7*q + 0*q**f - 2\/3*q**3 + 2. Find the first derivative of p(u) wrt u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 346*j - 338 = 241*j, 10*g + 265 = -g + 4*j for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*q = 22*q - 26*y - 548, 2*q = -5*y - 107 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b - 11 - 4*b - 4*b.\nAnswer: 2*b - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*7\/105)\/(1110\/(-37))*-2?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z - 3. Let o(b) = 55*b + 98. Let d(p) = o(p) - 6*u(p). Differentiate d(q) wrt q.\nAnswer: 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*a**4 - 27*a**2 + 272*a + 878331 with respect to a.\nAnswer: 52*a**3 - 54*a + 272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ieii when four letters picked without replacement from {i: 4, r: 2, e: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-200))\/((-3050)\/(-30500)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 1\/3*o**3 + o**2 - o - 6. What is the tens digit of y(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s + 12. Let g(f) = 4*f - 25. Let y(r) = -3*g(r) - 7*z(r). Let x be y(6). Solve b + 8 = -x*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vk when two letters picked without replacement from {r: 1, k: 1, p: 1, v: 1, q: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -s**4\/6 + 8*s**3\/3 + 9*s**2 - 40*s + 1. Let a(v) = 0. What is v?\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 + 14*a + 661. What are the prime factors of f(47)?\nAnswer: 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 13 + 5 = 0. Solve -b + 2 = -d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gfk when three letters picked without replacement from {g: 2, k: 6, f: 1, l: 4}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2 = -7. Suppose h*k = k - 84. Let c be 4\/(-3)*k\/4. What is the highest common divisor of 7 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/29 (b) 0.1 (c) -3 (d) 0.37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 256544, 256541, 256538, 256535?\n\"Answer: -3*z + 256547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 129 and 430.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/5)*x)**(36\/5)\/((x*x*x**(2\/7)*x)\/x**22))**(1\/4) assuming x is positive.\nAnswer: x**(4031\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/((j\/((j*j\/(j\/j**(-4))*j)\/j*j))\/j)*j)\/j)\/j**(-4\/3))\/((j**3*j)\/((j**(-2\/7)*j*j)\/j)) assuming j is positive.\nAnswer: j**(-62\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 258\/17 + -17011\/1122. What is the nearest to -1 in 0, k, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 10*p**2 - 5*p + 4. Let v be k(9). Let x = v - 157\/4. What is the closest to x in 0.4, 3\/8, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -346 - 232. Let d be (-7)\/28 + z\/24. Let k = d + 24. Find the common denominator of -49 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 138, 291, 490, 729, 1002?\nAnswer: 1303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -18a27?\nAnswer: 18a22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.8 and -8836.32?\nAnswer: 24741.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(-3*sqrt(9))*-4.\nAnswer: 4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 8:20 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 1 + -7 + 6 + -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/12*2760\/(-2300).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 218 divide 43600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 778b9b (base 13) to base 5.\nAnswer: 1210143131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*r - 3*r + r)*(0 + 7 - 1)*(-2 + 9 - 11) in the form n + j*r and give j.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1))**(2\/155))**(4\/5) assuming c is positive.\nAnswer: c**(-8\/775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 109037119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -10 (b) -4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1368.2 to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*h + 27221 - 13394 = -57*h + 13355 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Differentiate -131 - 452*o**2 + 72*o**2 + 577 + 262 with respect to o.\nAnswer: -760*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 198057061?\nAnswer: -198057061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/9 (b) 3\/2 (c) -3 (d) 1\/3 (e) -204 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*t - 0*t. Suppose -q - 4 = -2*q. Suppose -19 = -5*n + q*v, v - 4 = -2*n + 1. Solve 0*s = -n*s + t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 754227?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1257425 and 803?\nAnswer: 13831675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 3*z + 5. Suppose -3*d - 5 = r, 2*d + 0 = -2*r + 2. Let x be p(r). Solve i - 4*i + x = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (100\/(-18))\/(-2) + -3. Sort -1\/2, -0.2, b.\nAnswer: -1\/2, b, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -1802*c**2 + 19817*c + 50. Give b(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9183 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 bigger than 164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 3:41 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.0584 + -1.\nAnswer: 0.0584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*w + 149616 = 148*w - 107424. What is w rounded to the nearest one hundred?\nAnswer: -25700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*h + 6*h. Suppose 7*y = h*y. Solve -n + 4*n = y for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 5:46 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5063237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002005173 rounded to 4 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000081402 to 7 decimal places.\nAnswer: -0.0000814","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 159 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -23*a. Let r(q) = -124833*q**2 - 3*q - 12. Give r(p(l)).\nAnswer: -66036657*l**2 + 69*l - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6659419*k**3 - 2219789*k**3 - 2219780*k**3 - 2219808*k**3.\nAnswer: 42*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-794)\/102 - (-23 + -27 + (-22048)\/(-442))?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -717*j**2. Let c(p) = -p**2. Give c(k(d)).\nAnswer: -514089*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, -1, -2 in increasing order.\nAnswer: -2, -1, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/81312 and 95\/357168.\nAnswer: 86434656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 2*j + 0*j)*(j**4 - 5*j**4 + 2*j**4) + j**5 - 4*j**5 - 6*j**5.\nAnswer: -5*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from bbhybybyhyyyybyybb?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*c + 249 = -166. What is the closest to 32 in 0.5, 1, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m - m + 6*m + (353*m + 210*m - 71*m)*(2 + 2 - 5).\nAnswer: -488*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -1\/20*z**5 + 0 + 2\/3*z**3 - 12*z + 5\/24*z**4 - 1\/120*z**6 - 5*z**2. Determine m(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.1 + 0.1. Let f = 5.4 + -8. Let h = -3 - f. What is the closest to 0.3 in 5, h, b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8481987 is divided by 524.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1680135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 10. Solve 5*t - 5*b = y, -5*t - b + 11 + 19 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -162 divided by 18?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*b - b = 332, 249 = -3*t + 3*b. Let h = t + 118. Calculate the remainder when 102 is divided by h.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - f. Suppose f*v - 5*v + 160 = 0. Is v a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140 and 12?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2. Let i(f) = -77*f**2 - 3*f - 3. Let s(h) = -1385*h**2 - 55*h - 55. Let l(k) = 110*i(k) - 6*s(k). Calculate m(l(g)).\nAnswer: -25600*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 6*n + 2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwot when four letters picked without replacement from {f: 3, o: 1, t: 2, v: 1, w: 7}.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 24, -1, 4, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*q + 10. Let w be (8\/5)\/(4\/q). Calculate the common denominator of -85\/4 and (-34)\/w*(-1)\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11802, 23594, 35380, 47160, 58934, 70702, 82464?\n\"Answer: -3*k**2 + 11801*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y - 48. Let i(r) = -r**2 + 36. Determine s(i(j)).\nAnswer: -4*j**2 + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3127882500.\nAnswer: 2, 3, 5, 149, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 277.1 + -277.6. What is the third smallest value in 0.12, a, -1, 3?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -376494.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7845 - -17189. Let n = 56269\/6 - t. Let s = 92\/3 - n. Is s < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*a - 25*a + 6*a + 7*a to the form s + t*a and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 11:27 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 4. Calculate the remainder when 239 is divided by s(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 - 4 - 1 - y - 7*y**2 + 7*y**2 as j*y + u + g*y**2 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -965 - -10348. List the prime factors of a.\nAnswer: 11, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13335580 rounded to the nearest 100000?\nAnswer: 13300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*(-2*sqrt(143)*-4)\/((1*sqrt(33))\/sqrt(3)) + -4.\nAnswer: -40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 times 3.5?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -29, -54, -81, -110?\n\"Answer: -w**2 - 22*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-39201360)\/13067244 - (2 + -4 + -1). Do 1 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 3*k = -6*u + 8, 6 = 3*u - 2*k for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 808*b + 801*b = 90, -b + 10 = -5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 - 15 + g + 29)*(4 - 6 + 0)*((3 - 1 + 1)*(0 - 1 + 2) + 1 - 3 + 1) as n*g + x and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*(-6)\/144 + (-918)\/(-8). Suppose 0 = -m + y - b, 4*m + 311 = -4*y - 165. Let j = m + 130. Calculate the remainder when j is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -272*g - 1410. Let p(x) = -91*x - 471. Let z(t) = 2*n(t) - 7*p(t). Let o(i) = 31*i + 160. Let v(r) = -17*o(r) + 6*z(r). Differentiate v(w) wrt w.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a + 2*a - a**2)*(-2 + 4 - 1) + 4932*a - 4932*a - 1 + 13*a**2 as t + b*a + g*a**2 and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**2\/2 + 909*n\/2 + 1826 = 0.\nAnswer: -4, 913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -776 divided by 8.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -8. Suppose k - 3*x + 9 = 0, -2*x + 14 = 3*k - 3. Let q(p) = -1 + k - 4 - p. Determine q(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -3*k + k - 141, -4*p + 205 = 3*k. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*r - 33*r - 32*r - 351 - 29*r + 356.\nAnswer: r + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2463807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express o**4 + 21*o + 19*o - 26*o + 4 - 3 + 4*o**3 in the form x*o**3 + p*o + d + s*o**4 + i*o**2 and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1395549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.069 and 25.\nAnswer: 1.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6441*x**2 + 6451*x**2 - 8*x - 12887*x**2.\nAnswer: 5*x**2 - 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.149 * -1.\nAnswer: 0.149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 280.022 + -280. Which is bigger: v or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s + 2. Let n be (-2)\/(-4) - 15\/6. Let q(a) = -4*a + 3. Let l(o) = -4*o + 3. Let g(b) = 4*l(b) - 3*q(b). What is n*g(m) + 3*i(m)?\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 268 or 266?\nAnswer: 266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(110) - -1*sqrt(110))*-3 - ((1*sqrt(110) - sqrt(110)) + sqrt(110) - sqrt(110))*4))\/(-1*-1*sqrt(1210)*6).\nAnswer: -6*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*c**2 - 223*c**2 - 78*c**2 - 225*c**2 in the form w*c**2 + l + p*c and give w.\nAnswer: -565","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/21 and -36\/263?\nAnswer: 5523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z. Let g(q) = -246 + 194 + 7*q + 318 - 6*q + 249. What is a(g(f))?\nAnswer: 4*f + 2060","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6962, -7274, -7586, -7898, -8210?\n\"Answer: -312*j - 6650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**3 - 1 - r**3 + 2*r**3 + (9169 + 7396 - 5588)*(r**3 - 4*r**3 + 0*r**3) + 3*r**3 - r**3 + 0*r**3 to a*r**2 + z*r + k + c*r**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 936300 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x**2 - 3*x + 3. Let w(o) = -o + 1. Determine 4*c(q) - 12*w(q).\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (412 - 412 - 19*o)*(-26916*o + 22*o**2 + 26916*o) as s*o**2 + g*o + i + p*o**3 and give p.\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16527 and 172767.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.985 + 0.985. Which is the closest to 0? (a) 2\/9 (b) 5 (c) 1\/2 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143, 288, 433?\nAnswer: 578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4562 - 4?\nAnswer: 4556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/10)\/((-42)\/60).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 108\/(-297)*25\/60*2\/(-10)\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7)*k**15)\/(k\/(k*k**10\/k*k)*k*k*k**(-1\/6)) assuming k is positive.\nAnswer: k**(97\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3236 + -3232. Which is the closest to -1? (a) 3\/7 (b) 65 (c) 0 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**5*p + 4*h**2*l*p**2 - 17*h**2*l*p - h*l*p + l*p**2 - 3*l*p wrt h?\nAnswer: 40*h**3*p + 8*l*p**2 - 34*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(684))**2 - (sqrt(19) + 3)*-5 - 5*(((sqrt(1900) + 2*sqrt(1900))**2 - sqrt(1900)) + -2).\nAnswer: -82055 + 55*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -360 divided by 36\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 356 + -359. Suppose 4*j + j - 5*k - 15 = 0, j + 9 = -3*k. Let l be -2 + ((-9)\/3 - -1). Put l, j, x in ascending order.\nAnswer: l, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -0.1416071.\nAnswer: 0.4248213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + y**2 - y + 281. Let f be v(0). Let s be -2 + 4 - (0 - f). Suppose -5*c + 2*a = -453, -4*a - s = -3*c - 0*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2869 + -2040. Suppose 0 = -42*t + l + 431. What is the greatest common divisor of 320 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26\/3 - 8. Let a(l) = -2*l + 36. Let d be a(20). Put k, d, 2, -3 in descending order.\nAnswer: 2, k, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -121002 + 247131. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 12 = -2*l - 4*d, -6 = 2*d. Suppose -6*n + 5*n + 3 = l. What is the second derivative of -2*m + 0*m + 3*m**3 - n*m - 22*m**3 wrt m?\nAnswer: -114*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 6:28 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13712638 is divided by 425?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.1, -19, 21, -1.05?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 224251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*i**2*x*y - 5*i**2*y - 5*i*y - x + 18*y - 2 wrt i.\nAnswer: -10*i*x*y - 10*i*y - 5*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -6) + 0 + -42 + 38 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -8. Suppose 0 = 2*c + 4 + 2. Let s = -7 - c. Is s not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.049655982047 - 0.07?\nAnswer: -0.119655982047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 18*x**2 - 18*x + 21. Calculate the lowest common multiple of 8 and k(17).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3166487843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -1369\nAnswer: -10\/1369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 0.3 (c) 4\/105 (d) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -2*n**2 + 1\/4*n**5 + 1\/6*n**3 + 51 + 1\/48*n**6 + 0*n - 1\/35*n**7 + 5\/16*n**4. Solve a(l) = 0.\nAnswer: -1, -1\/3, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**5 - 8523*h**4 - 9095355*h**3 - 18165129*h**2 - 9078300*h = 0. Calculate h.\nAnswer: -825, -1, 0, 3668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3721 divide 747507969?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - (sqrt(102) - (sqrt(102) + -3*sqrt(102) + sqrt(102))*6))\/sqrt(6) + sqrt(1377) + -3 + 5.\nAnswer: 2 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/5 - 176*o**2\/5 + 4467*o\/5 - 29988\/5.\nAnswer: (o - 147)*(o - 17)*(o - 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -28. Calculate the remainder when (-2 - -71) + 7\/(-21 - -20) is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 + 218940*f**2 - 3502080*f + 14007040.\nAnswer: -5*(f - 43772)*(f - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 147 and -0.1675?\nAnswer: -24.6225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 1172?\nAnswer: 1177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 131 - 144. Do t and -10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*m**2 + 21*m**2 + 6*m**2 - 11*m**2.\nAnswer: 30*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4562*m**6 + 454*m**5 - m**3 + 19350673*m**2 wrt m.\nAnswer: -547440*m**3 + 27240*m**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 51*w**2 + 41*w + 7. Is 49 a factor of j(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -81, -95, -123, -171, -245, -351, -495?\n\"Answer: -d**3 - d**2 - 4*d - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drmmmrmmmddmdmdmad. Give prob of sequence ar.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 7*h + 82. Let z = h - -17. What are the prime factors of z?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -51637 and -458 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**2. Let m(g) = 4*g**2 - 3*g**2 + 4*g - 5*g + 6*g. Let z(x) = x. Let j(d) = -4*m(d) + 20*z(d). Determine j(a(v)).\nAnswer: -36*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -650762192 divided by -77068.\nAnswer: 8444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.02 + -0.42. Let m = 7\/16 + -31\/16. Which is the second smallest value? (a) d (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j - 10*j + 204 = 0. Solve h + j = -2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 1218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**2 + 3*s + 1. Let p be l(-2). Let w = p - 4. What is the remainder when 3 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28793 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.2 - 0.9. Which is bigger: x or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kzzzkzk. Give prob of picking 1 k and 3 z.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 7794 = -34339. Suppose -m = -5*l - 4*h, -7*l + 9*l - 10618 = 4*h. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34656 + 222?\nAnswer: 35211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -4\/291, -3, 5, 329 in decreasing order.\nAnswer: 329, 5, 0, -4\/291, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-46053))\/(4\/611868). Let p = -1\/4386 + w. Calculate the common denominator of -23\/20 and p.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22684 and 96?\nAnswer: 544416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -77\/4 - -20. Let x = -59 + -11. Let o = x - -71. What is the second biggest value in o, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**3\/5 + 1108*o**2\/5 + 1566*o + 13464\/5 = 0. What is o?\nAnswer: -4, -3, 561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -124 + -326897?\nAnswer: -327021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 f when three letters picked without replacement from ofefefeoeeffofeoffeo.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/974720 and 95\/352.\nAnswer: 10721920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k**2. Let s(j) = 3481532*j. What is y(s(i))?\nAnswer: 48484260268096*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 127720121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -669 (b) 171 (c) 85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17780 and 1260.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1454*n*u - 6323*n with respect to u.\nAnswer: 1454*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - t - 404 = 0. What is the common denominator of -27\/8 and 2 + t\/(-8) - -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4211\/2 - -2106. Sort 2, 14\/9, 1, q in decreasing order.\nAnswer: 2, 14\/9, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49643815 a multiple of 498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1501595 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -14.527, -0.1, 6, -1\/3.\nAnswer: -14.527, -1\/3, -0.1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 232160262 a multiple of 409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46305 is divided by 45874.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -6*w**2 - 2514*w - 45. Let j(l) = -2*l**2. What is y(j(a))?\nAnswer: -24*a**4 + 5028*a**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-4)*(-7 - -3). Let f = k - -2. Solve 1 + f = 2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q - 9*q - 14*q - 3*q as d*q + r and give d.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2646*v + 8066. Calculate g(3).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64 - (-40376)\/635) + 13\/39*6\/5?\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13434*f**3 - 2*f**2 - f - 128424?\nAnswer: -40302*f**2 - 4*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*b - b - 2*b)*(1 + 0 + 1)*(-2 - 2 + 1)*(0*b + 4*b - 3*b) to the form d + w*b + s*b**2 and give s.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 21*z - 22*z. What is the remainder when 249 is divided by z?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((-4)\/16)\/(45\/1152*-1)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 15 = 3*w, -2*w - 3*w = -t - 17. Let b(y) = -5*y - 24. Let o be b(-7). Let g(r) = -r**2 + 13*r - 19. Let m be g(o). Solve -m = -t*v + 12 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/8, 9\/17, 0.21, -2\/9?\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 14 + 13 + 9)*(26 - 27*q**3 - 26)*(4 + 1 - 2).\nAnswer: -3483*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 36827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11173392 is divided by 31.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29 in 8, 1\/4, 2\/15, 16?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s**2 - 143963448953 + 143963448953.\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1303, 1304, 1305, 1306?\nAnswer: 1307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**3\/11 - 38*l**2 - 2454*l\/11 - 3654\/11 = 0.\nAnswer: -203, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (22 - 50) + 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120900 divided by 15.\nAnswer: 8060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0806*60.4614.\nAnswer: 4.87318884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1106 + 1101. Let k be (-9)\/(-21) + -3*4\/(-21). What is the nearest to -132 in -1\/2, k, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 + 917. Suppose 7*h - j = 582. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/((-585)\/(-52)) - 0)\/((-36)\/81) + -125?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4849496 and 4849495 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.31 + -70.31. Let b = z - -68.99855. Round b to 4 decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 - -2 - (-776 - -811)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 304888691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*j = 614. List the prime factors of j.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r - 12 + 2*r + 1 - 2*r. Suppose 2*p = -37 + 17. Calculate the remainder when y(p) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*h = 64. Suppose 4 = 6*i - h. Let v be (-10 - -5) + 5 + i. Solve 0 = 2*p + v*p - 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45114 smaller than 45135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*r - 48*r - 14*f + 113, -4*r = -2*f + 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 129700 rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (540\/243)\/(8\/14724)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1552 + 75?\nAnswer: 1647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i - 3. Let y be k(6). Let a(z) = -z + 1. Let f(c) = 10*c - 9. Let h(u) = 5*a(u) + f(u). What is the tens digit of h(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4 + 18. Suppose b + 3*o - m = -b, 20 = -4*o. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*s = -17, 4*d - 28 = 2*s - 6*s. Suppose 0*w + 2*c + d = 3*w, w - 3 = 5*c. Solve 4 = -w*x - x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 367416?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 greater than or equal to -90?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -160*c**5 - 531*c?\nAnswer: -3200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w + 1. What is i(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o + 7. Let x be m(5). Let s = -12 - x. Let b(w) = -6*w**2 - 11*w - 2. Let a(k) = 5*k**2 + 10*k + 2. Let l(t) = 5*a(t) + 4*b(t). Calculate l(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 9*g**2 + 8*g - 1. Calculate l(6).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.33967g to kilograms.\nAnswer: 0.04333967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 73.5 - 73.7. Suppose -5*c - 1 + 21 = 0. Let v be 2 + -2 + 0 + c. Sort o, v, 0.\nAnswer: o, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-7)\/2)\/(-7)*210 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -1.51, 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (30\/(-9) + 12\/9)*-4. Solve u + 3*u = j for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbjjjjmbbjtjjbmm. Give prob of sequence jb.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + -389. Let v = s + 774. List the prime factors of v.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/9)\/((-24)\/(-6558)). Let o = r + 121\/2. Sort 1\/4, o, -1\/5 in increasing order.\nAnswer: o, -1\/5, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - z. Let w(j) = 23*j**3 - 3*j**2 - 2*j. Calculate 2*a(u) - w(u).\nAnswer: -23*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 147\/2 - 21*d + 3\/2*d**2.\nAnswer: 3*(d - 7)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.061 - -28.939. Let z = t - 28.9999852. What is z rounded to 6 decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 869 and 27667222.\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/4 + 26\/4. Calculate the common denominator of -1 - (31\/o)\/(-1) and 82\/(-20) + -1*1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-15 - 2) + 13\/55. Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjhhhheejjhse. What is prob of sequence sh?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00076967 rounded to 5 decimal places?\nAnswer: -0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-264)\/(-2310))\/(44\/14)*(4 - 1). Let q = -4 - -4. Which is smaller: q or z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2993554 is divided by 498924?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 164 - 1802\/11. Let x be (1 - 3) + (-4)\/(-3). Let f = 32.42 + -27.42. Which is the nearest to j? (a) f (b) x (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**5\/120 - o**4\/3 - 7*o**3\/2 + 39*o**2. Let j(v) be the first derivative of u(v). What is j(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 4. Let p be q(3). Let n(h) = h**2 + p*h - 5*h. Let r(c) = -c. What is n(r(x))?\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**3\/9 + 127*w**2\/9 - 604*w\/9 - 244\/3 = 0.\nAnswer: -1, 6, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**4\/9 - 208*z**3\/9 - 3856*z**2\/9 - 3328*z - 9216.\nAnswer: -4*(z + 8)**2*(z + 18)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1130, 1132, 1136, 1142, 1150, 1160?\nAnswer: 1172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 k, and 1 d when four letters picked without replacement from {f: 6, d: 5, h: 2, b: 3, k: 2}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -290722\/67 - -4339. Let q = r - -2363\/134. What is the common denominator of -33\/109 and q?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**5 + 6534*d**4 - 6513*d**3 - 39198*d**2 + 26100*d + 52248 = 0. Calculate d.\nAnswer: -2, -1, 2, 2177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57*h**4 + 1200*h**2 + 16065*h**3 - 16078*h**3 + 208*h**2 + 81*h**2 wrt h?\nAnswer: 1368*h - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 784932?\nAnswer: 2, 3, 149, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, z: 1, h: 4, m: 1}. What is prob of sequence hm?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5410695 to the power of 1\/2, to the nearest integer?\nAnswer: 2326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*n**2 + 9*n - 29*n**2 - 132*n**3 + 8*n**2 - 225*n**3 + 18*n**2 wrt n.\nAnswer: -2142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m + 8*m**2 - m**3 - 4*m**3 - 4*m**2 - 4*m in the form k + q*m**3 + l*m**2 + r*m and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -c - 1, 26 = 4*c + 2*n - 6. Let i be 15 + -5 + -3 + c. Do i and 18 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 514838 is divided by 102956?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7722991 rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -6 (c) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.7 + 9. Let s = 60.7 - 61. Which is the third smallest value? (a) 0.4 (b) u (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 11*f. Let x(p) = 292176*p. Give m(x(n)).\nAnswer: 85366814976*n**2 + 3213936*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbobbbbb. What is prob of picking 4 b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*q = 3*q - 12572. Let b = 452 - q. What is the third biggest value in -1\/3, 1\/10, 2\/15, b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -58e + 13acd?\nAnswer: 1353f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/1270 and 73\/1270?\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 2 + 2)*(0*x**3 + x**3 - 4*x**3) + (3*x**3 - 7*x**3 + 6*x**3)*(-x - 3*x - 4*x).\nAnswer: -22*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -4. Let k = 0.13 - 0.13. Put k, 2\/11, q in descending order.\nAnswer: 2\/11, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320*r - 51*r - 3339 = 0 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 737705 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8 - 16\/((-160)\/(-6)) - -9. What is the nearest to d in -2, -3\/4, 43.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 157802862749442.\nAnswer: -157802862749438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 11*o + 2. Suppose -14*w + 9*w = -55. Let r be s(w). Solve 6 = -3*a - r*m, 2*a - m + 4 = -0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 1. Let g be c(1). Suppose g = y + 3*j - 52, y - j = -2*y + 156. What is the remainder when y is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yyyyvyvvvyyyyvyyyyy.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*z + 8 = -f, 0 = 2*z + 3*f - 4. Solve 5*r - 16 = -3*a + 3, -10 = -z*r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ottv when four letters picked without replacement from vfttezzo.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3 - 1. Suppose -s = -m*h - 0*s - 1, -3*s + 13 = -h. Suppose -b - o - 7 = h*o, -4*b + o = -11. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -731*y**6\/30 - 703*y**3\/6 + 73*y**2. Find the first derivative of g(s) wrt s.\nAnswer: -8772*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4 + 322*d**3 - 27481*d**2 + 251160*d - 608400.\nAnswer: -(d - 156)**2*(d - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**4 - 804*b**3 - 50814*b**2 + 491556*b + 10529409 = 0. What is b?\nAnswer: -137, -11, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 3*p + 2*y, -5*p - 3*y - 17 = -4*p - 0*y - 8 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j - 5. Let o(u) = 31*u**3 + 2*u - 11. Let f(c) = -o(c) + 2*r(c). Give f(1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -84 - -82. Which is the third biggest value? (a) i (b) 0.4 (c) -3 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 347 = 3*g - o, -g + 127 = -5*o. Calculate the greatest common factor of g and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*d - d - d)*(d + 2*d - 2*d) + (64*d - 11*d**2 - 64*d)*(-3 + 2 + 3) in the form m*d**2 + w*d + k and give m.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*n + 1053 = -53*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -2\/11, -2\/395 in descending order.\nAnswer: 4\/3, -2\/395, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tuut when four letters picked without replacement from {m: 2, t: 2, n: 4, u: 4}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -31*a**2 + 2. Give z(-1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 7*v + 1. Let y be u(7). Let x = 3 + y. Let z = x - 1. Calculate the greatest common factor of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-8076.917\nAnswer: 32307.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -h**4\/12 + 2*h**3\/3 + h**2\/2 + 8*h - 20. Let k(w) be the first derivative of d(w). What is k(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 1537 = 1515 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**4\/6 + 153*p**3\/2 + 18499*p**2\/2 + 633097*p\/6 - 248645 = 0. Calculate p.\nAnswer: -223, -15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-3166)\/(-12) - 2\/48*-4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -332 + 2310321121?\nAnswer: 2310320123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvu when three letters picked without replacement from {a: 1, b: 1, j: 1, v: 3, u: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 372648 at least as big as 372648?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-2 - -5) + (2 - -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -44*j + 3 + 1 + 59*j - 6. Let z = -8 + 11. Calculate d(z).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + -4*(2 + sqrt(2736)))*-4.\nAnswer: 32 + 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 6*l - 10. Let c be r(8). What are the prime factors of (-284)\/(-18) + c\/27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 607b + 5?\nAnswer: 6082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5093 = -234*b - 13517 for b.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, 5, -2, 4, 7 in increasing order.\nAnswer: -2, 4, 5, 7, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151 = -6*l + 11. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**5\/5 + 96*m**4\/5 + 1234*m**3\/5 + 1732*m**2\/5 - 4968*m\/5 - 8464\/5 = 0.\nAnswer: -23, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 23, 47, 73, 101?\n\"Answer: h**2 + 21*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -1\/3*d**3 - 1\/2*d**2 + 5\/12*d**4 - 3*d + 0. List the prime factors of z(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3*f - 4)*(-23*f - 36*f - 8*f) + (2*f - 2 + 2)*(f - 3*f + 4*f) + 2*f**2 - f + f.\nAnswer: -195*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + y. Let x(k) be the first derivative of -k**3\/3 + k**2\/2 + 20. Calculate -4*r(i) + 4*x(i).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7480105*g**2 + 111315*g - 8.\nAnswer: -14960210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 + -3.5. Let j = 475\/9 - 454\/9. What is the nearest to j in y, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 - 0.7. Let t = z + 0.5. Let n = 364 + -367. Put t, 3, n in decreasing order.\nAnswer: 3, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(sqrt(11) - sqrt(88)\/(sqrt(8)*-2)).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204779 is divided by 40292?\nAnswer: 3319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -508718992353 + -0.5\nAnswer: -508718992353.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -624 - -1276. Is f less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 108 = -5*o + 51, -113 = -3*o + 5*p. Let f(u) = -27 + 4*u**2 - u**3 - 15*u + 10*u + o. Determine f(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-260)\/44 + (-8 - 783\/(-99))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 0*f - 2\/3*f**3 + 13 + 1\/4*f**4 + 1\/2*f**2. Factor k(x).\nAnswer: x*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (149 + 157 + 69*y**2 - 309)*(-12*y - 16*y - 18*y) as x*y + t*y**3 + h + v*y**2 and give t.\nAnswer: -3174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 13*s**2 - 4*s + 4*s - 44*s**2. Let y(t) = -t**2. Give y(g(q)).\nAnswer: -961*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k = -145 - 119. Let y be (2\/3)\/(2 + k\/(-12)). Solve 5 = -5*d, 2*i + y*d = 6*i - 12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a - 13. Calculate the remainder when 28 is divided by l(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/32)\/(-15*(-1)\/12)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 12 = w + 14, 3*b - 5*w + 38 = 0. Let i be (-7 - b)*(33 + 0). Let p be (-242)\/i + 1\/(-3). What is the greatest common divisor of p and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45*r**5 - 3*r**3*s + 42*r*s - 12*s + 1 wrt r.\nAnswer: 900*r**3 - 18*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -119, -208, -247, -212, -79?\n\"Answer: 4*u**3 + u**2 - 120*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 197\nAnswer: -39.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 7\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -170484?\nAnswer: -17047a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -20*l + 44. What is n(-4)?\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**3 - 26*h**2 + 11*h - 12. Let b be ((-2)\/(-8))\/(3\/(159 + -3)). Is c(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511 less than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96635 and 385?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -64*k + 13. What is the tens digit of g(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102994 divided by 22\nAnswer: -51497\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((-2 - 4) + (10 - 8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 0 + (-4)\/6. Suppose 0 = -7*w + 3*w + 28. Let o(f) = f**2 - 6*f - 8. Let x be o(w). Which is greater: x or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 63375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b. Let d(t) = -28*t**2 + 24*t - 144. Let k(c) = -5*c**2 + 5*c - 30. Let g(a) = 5*d(a) - 24*k(a). Calculate g(h(p)).\nAnswer: -320*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -8*q + 6. Let r(n) = 7*n - 5. Let l(p) = 7*r(p) + 6*z(p). Let h(g) = -g**2 - 4*g - 3. Let k be (1\/3)\/(-3*4\/(-36)). Calculate k*h(y) + 5*l(y).\nAnswer: -y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) + (sqrt(220) - -2*sqrt(220)))\/(sqrt(5) + (sqrt(45)*5 - sqrt(5))) + 2*(sqrt(539) - (sqrt(539) + 0))*-5 + 3.\nAnswer: 7*sqrt(11)\/15 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -19. Let t(s) be the third derivative of 4\/21*s**3 + 0*s + 0 + 1\/210*s**5 - 2*s**l + 1\/21*s**4. Factor t(r).\nAnswer: 2*(r + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -569960 divided by 40?\nAnswer: -14249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 10 - 13 - j)*(0 + 0 - j)*(1 - 2 + 0).\nAnswer: j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 570, 0, 10, -662 in ascending order.\nAnswer: -662, -4, 0, 10, 570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j + 0*j + 1050*j**2 - 792*j**2 to u*j + x*j**2 + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 - 0.44. Suppose 5*g - 5 = -k, 0 = 4*g - 5*k + 13 + 12. Suppose 2*i - 2 = s - 2*i, s - 3*i + 1 = g. Sort l, 1, s in descending order.\nAnswer: s, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1022443, -1022215, -1021989, -1021765?\n\"Answer: -f**2 + 231*f - 1022673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49 - (105 + (20 - 9))) + 34?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6*f**2 + 148*f - 489. What is c(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 88*q**2 + 3*q + 66*q**2)*(0*q**3 - 4*q**3 - 3*q**3 - q**3).\nAnswer: 176*q**5 - 16*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*q = -265*q + 6072 for q.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -5\/4 (c) 1 (d) 51.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (11 - 8) + (-4)\/(-2). Let z(x) = 2*x**3 + 3*x**2 - x**3 - 2*x + 8*x - q*x + 2. What are the prime factors of z(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/32*1)\/(((-1)\/30)\/(-1)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18092, -18094, -18096?\n\"Answer: -2*g - 18090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 133*n**3 - 9 - 135*n**3 + 15*n**2 + 10 to the form p + h*n + b*n**3 + j*n**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -33674*s**2. Let f(z) = -5*z. What is m(f(c))?\nAnswer: -841850*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -3 + 1 + 56. Suppose 0 = 3*g - 8*g + n. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 4*y + y)*(y + 0*y - 2*y) + (0 - 3*y + 0)*(-11*y - 12*y - 2*y).\nAnswer: 74*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f = -26*h + 165, 25*f - 23*f - 5 = -3*h for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 128.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 42*i**2 + 3*i + 57. Let p(a) = -164*a**2 - 13*a - 227. What is 3*p(n) + 13*x(n)?\nAnswer: 54*n**2 + 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 14*y**2 - 35*y + 30. Is 4 a factor of l(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 29 = -2*z, 4*z - 6*b = -4*b + 18. Suppose 3*m + 2*m + 131 = 4*n, -z*n + 2*m + 66 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -640*x**4\/13 - 5024*x**3\/13 - 12378*x**2\/13 - 7434*x\/13 + 5292\/13 = 0.\nAnswer: -3, -21\/8, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/3, 1763, -22, 0.4, -4?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1628?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/3)\/(8\/156). Calculate the highest common divisor of s and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - x = 10, -5*j - 3*x = -7*x - 28. Suppose w - j*w = 3. Suppose 2 = -0*d - d. Which is greater: d or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + 2)*(10 - 6)\/(-4). Let v = 4 + -4.3. Let j = v - -1.3. What is the smallest value in a, -0.1, j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -333546864 to the nearest one hundred thousand.\nAnswer: -333500000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1104, -2389, -3674, -4959, -6244?\n\"Answer: -1285*v + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 35, 2, -67, -184?\nAnswer: -361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 2:10 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/5 of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 p when four letters picked without replacement from {p: 9, k: 11}.\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 502 + 466. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*d + 8735 = -28833, -5*n - d = -46976. Let x = -6259 + n. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -2*w + 25400, 0 = -4*t + 8*w - 3*w + 25442. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3.01498 weeks?\nAnswer: 1823459904000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - j - 1. Let s(p) = p - 6. Give 3*c(v) - s(v).\nAnswer: 3*v**2 - 4*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (18\/15)\/3 - (-77)\/(-105)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 382, 740, 1084, 1408, 1706, 1972?\nAnswer: 2200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - p - 7. Let a be x(3). Calculate the common denominator of (-912)\/(-64) + a\/(-1) and -58\/85.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1569)\/126 - 2\/(-7). Let j = a + 473\/30. What is y in 14\/5*y**3 + 4\/5*y + j*y**2 + 0 = 0?\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.08129337 at least -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a millisecond in microseconds?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -36, -44, -14, 66, 208, 424, 726, 1126?\n\"Answer: 2*s**3 + 7*s**2 - 43*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*g + 24 = -37*g. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 + -55. Let w be (-100)\/(-8) - c\/6. Suppose -w = -n - 4*x + x, -n = -2*x + 7. Is n <= -2\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -856 (base 11) in base 10?\nAnswer: -1029","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h - 5. Let f(r) = -9 + 0*r - 3*r + 1 - 3*r. Let i(g) = 5*f(g) - 8*k(g). Let c(u) = -2*u - 3*u + 2*u. Give i(c(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-43*k**3 - 19*k**3 + 31*k**3)*(3 - 2 + 2) - 8 + 8 - 4*k**3 in the form p + j*k + c*k**3 + u*k**2 and give c.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y. Let u = -1 - -2. Let g(h) = -2*h + 20. Let j(a) = u*z(a) + g(a). What is the least common multiple of 22 and j(0)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-3)*x**(-2\/5)\/x)\/(x**(-5)*x**(7\/5))*(x**(-2)*x)**(-1)\/((x*x**(-1\/2))\/((x*x**(-4))\/x)) assuming x is positive.\nAnswer: x**(-33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, v: 2}. Give prob of picking 2 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2209.88009 - 2208.18. Let a = n + -1.7. Round a to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 6*v**2 - 3*v - 22. Let s(q) = -29*q**2. Let r be s(1). Let p = 58 + r. Calculate the remainder when f(-4) is divided by p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32.687 - 0.287. Let k = c + -32.7. What is the closest to 0.09 in 5, 0.1, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -712686502 divided by -7056302\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*o + 2*o. Let p = 3093\/220 - 578\/55. What is the common denominator of p and 106*((-25)\/o + 3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 85 or -1.2?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/21 + 32\/14. Suppose 4*r + 3*l + l - 72 = 0, n*r - 36 = l. Suppose -r = -2*g + g. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 times 110?\nAnswer: -5830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 - -17. List the prime factors of (-12)\/(-16) + (107996\/u)\/(-7).\nAnswer: 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20\/1061 + 64841\/6366. Calculate the common denominator of w and 1*(-41)\/12 - 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xg when two letters picked without replacement from {c: 5, j: 3, g: 1, m: 1, x: 1, l: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(153) - (sqrt(153) - (-1 + sqrt(153) + sqrt(153) - sqrt(153))))*-2)**2*2.\nAnswer: -432*sqrt(17) + 11088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand m + m - 4 - 16*m**4 + 8*m**4 + (-5 - 5*m**3 - 10*m**2 + 10*m**2)*((2*m + 0*m - 3*m)*(2 + 0 + 2) - 5*m + 4*m + 3*m).\nAnswer: 2*m**4 + 12*m - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 898 = v + 5*l, 5*v + 3*l - 6*l = 4630. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 150094, 2\/3 in increasing order.\nAnswer: 2\/3, 5, 150094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 3:28 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0 + 14421*d**3 + 321*d**5 - 127*d + d**2 - 2*d**4 - 7213*d**3 + 2 - 7208*d**3 wrt d.\nAnswer: 19260*d**2 - 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -s**3\/3 - s. Let o(z) = -8*z - 14*z + 18*z. What is b(o(w))?\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4480848, -4481034, -4481352, -4481808, -4482408?\n\"Answer: -b**3 - 60*b**2 + b - 4480788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.004 - -0.304. Which is the nearest to 1\/5? (a) 5 (b) 3\/2 (c) o (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -33310, -66845, -100378, -133909, -167438?\n\"Answer: r**2 - 33538*r + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/12*40\/102. Let h = -47\/102 + l. Let o be (18\/(-6))\/(15\/(-4)). What is the smallest value in h, o, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 462 and 144858.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5829 divided by -6?\nAnswer: -1943\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 63411?\nAnswer: -63413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8\/15 + -1\/30. What is the second biggest value in y, -1\/11, -4\/9?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.01 - 12.9. Let z = h - -0.88999852. Round z to seven dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 126\/4 + (-5)\/30*9. What is the highest common factor of b and 330?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of u**6\/72 - u**5\/60 + u**4\/24 + 26*u**3\/3 - 4*u - 12. Let t(q) be the second derivative of y(q). Give t(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*v = -32*v - 6 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, s: 1, c: 1}. What is prob of sequence saca?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 9:39 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2522 - -2840. Is 14 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 15 = -2*o - 3, -i - 4 = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 + ((-192)\/(-28))\/(-2)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35*(2484\/63)\/46?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-75)\/(-2))\/(2*(-4)\/(-16)). Let h = -71 + b. Let a(g) = 3*g**2 - 5*g - 3. Calculate a(h).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159004479 to the power of 1\/3, to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a - 26. Let i be s(-7). Let z(n) = 11*n - 22. Let v be z(i). Factor 2\/9*f**3 + 2\/9*f**2 + 0*f + v.\nAnswer: 2*f**2*(f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 320498 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 694564 divided by -148.\nAnswer: -4693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 292 - 287. Suppose 0 = -0*r + 3*r. What is the nearest to -1 in r, -0.5, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 27*i**2 - 25*i - 26. Let f be d(-1). Suppose 327 + f = w. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-746)\/(-373)*((-1)\/(-50))\/(-1)\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13\/15 + 1\/5. Let u = 1.18 + 76.82. Let z = -79 + u. Which is the second smallest value? (a) f (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.3059 - 5.3059. Put 4, -423, s in ascending order.\nAnswer: -423, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/2)\/(35\/21). Solve -2*b + 10 = -4*f, 0*f = -2*f - b - r for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45429 divided by -77?\nAnswer: 45429\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*n - 35*n. Suppose n = 14*b - 21265 - 8933. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(-2\/9)))\/f*f**(-1\/5)*f*f*f*f*f\/(f\/(f**(-1\/3)*f)*f)*f*f\/(f**(-1\/2)*f) assuming f is positive.\nAnswer: f**(337\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flnlfltlfllt. Give prob of picking 1 f and 1 t.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + o + 3. Let y be d(0). Let t(h) = 5*h - 15. Let n be t(4). Suppose -c = y - n. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75 - -116. Calculate the remainder when z is divided by (-8)\/(-4 - 0) - -12.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19982 + -20012. Which is bigger: -21 or t?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -122528314\/7 or -17504044?\nAnswer: -17504044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1382*k**5 - 14800*k**4 + 158665870*k**2 wrt k?\nAnswer: -82920*k**2 - 355200*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14854*x**3 + 14845*x**3 - 29696*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1223*q + 420 = 1188*q for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*z**2 + 2 + z**2)*(-8*z**2 - 7*z**2 - 2*z**2).\nAnswer: 17*z**4 - 17*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 47, 71, 109, 161, 227?\n\"Answer: 7*d**2 + 3*d + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145855 is divided by 11213.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nffynynzyyyz. Give prob of picking 1 y and 1 n.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k + 2. Let p be (-4)\/(-26) + (-164)\/52. Give f(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 831917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.80053 to two decimal places.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1021 (base 3) to base 10.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = 4*d - 66. Let f = d - 60. Let j be f*(-1 + 4) + 3. Solve p - 3*a + 7 = j, 2*a + 0*a = -2*p - 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 21, -0.18, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.16853 * -795.\nAnswer: 928.98135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o - o + 2*o)*(30 + 51 + 211 + 35).\nAnswer: -981*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*y + 105834 - 133098 = 0 for y.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 7*r + 154, -146*r + 144*r = -o + 38. Solve -289*q - o = -282*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -88*q - 1230. Let s be n(-14). Which is the nearest to 0.3? (a) -40 (b) 2\/29 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2 + 0 - 1 + 7*u**3. Let f be (-3)\/4*(-64)\/48. What is the units digit of b(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39*-11347\nAnswer: 442533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 15, -3*r + 2*r - 12 = -5*u. Suppose -u*t + 30 = -0*t. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0884 and -2396967.\nAnswer: -2396966.9116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -214, -1600, -5396, -12808, -25042, -43304?\nAnswer: -68800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.24 - -7.782. Let i = o - 21. Let n = -0.0153 + i. Round n to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*m + 5*i, 2*m + 5*i = 3*i - 8. Let d be (-32)\/(-24)*((-3)\/m - 0). Put d, 12, 5, 3 in increasing order.\nAnswer: d, 3, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**3\/3 + 5. Let g(j) = -3*j. Calculate g(s(b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -37*l**2 + 6*l + 2. Let k(x) = -410*x**2 + 64*x + 22. Give -3*k(t) + 32*n(t).\nAnswer: 46*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and 44586768570786.\nAnswer: 44586768570785.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 1)\/(4\/(-8)). Find the common denominator of -87\/2 and (-77)\/i + (-30)\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o + 888 - 25*o - 886. Let n(s) = s. Determine -k(d) + n(d).\nAnswer: 20*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 296625476 a multiple of 3622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aeeeeaeaeaaaa. Give prob of sequence aaea.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1429833 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*z - s, -3*z = -7*z - s + 3. Calculate the remainder when z*-1 - (-195)\/13 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.059958 rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 893 + -891.572. Let j = d + -1.5. What is j rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(2\/(-1524)*3). Solve -v*g - 15 = -259*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/4)\/(4\/8). Suppose v*f - 3339 - 1386 = 0. Let u = 1384 - f. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67.3 - 29.5. Let s = u + 97. Let r be (8\/(-12))\/(25\/3). Which is the second smallest value? (a) 0.3 (b) r (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -5. Let g(k) = -1 + 6*k**2 + 5*k**2 - l*k**2. Calculate the least common multiple of 11 and g(1).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0021850504 rounded to six dps?\nAnswer: -0.002185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 660*m + 5\/3*m**3 + 4840\/3 - 70*m**2.\nAnswer: 5*(m - 22)**2*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**5 + 24*u**4 + 84*u**3 - 136*u**2 - 192*u = 0. Calculate u.\nAnswer: -3, -1, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -345468293*m**2 + 447001959*m wrt m.\nAnswer: -690936586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/2814 + -111157\/11256. Find the common denominator of -19\/6 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 180071712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fecc when four letters picked without replacement from efflleeecleeefecee?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -8*y - 7. Give o(-6).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7324*j**4 + 147*j**3 - 842629 wrt j?\nAnswer: -29296*j**3 + 441*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (13\/((-273)\/18))\/(-2*(125\/(-2100))\/(-5))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-3) - 40\/(-15). Suppose -o*n - 3 - 10 = -p, 5*n = p - 4. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0, 2\/11, 504, -0.2, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -0.3, -2.42, -0.5, 3, 0.16, 2\/9?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -657*t**3 + 2*t**2 - 2*t + 2. Let f(r) = -2359289*r**3 + 7183*r**2 - 7183*r + 7183. Calculate -4*f(y) + 14366*x(y).\nAnswer: -1306*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -0.2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/74675210 and 49\/849?\nAnswer: 224025630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iooioioiimgmmi. Give prob of picking 2 o and 1 m.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/((-1)\/((-5)\/5)). Differentiate -5*i**3 + 5 - 10*i**3 - 4*i**q + 3 wrt i.\nAnswer: -57*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 5 - 0\/1. Suppose -4 = -i - 5*y + 8, -4 = -w*i + 3*y. Let 8*l**3 + 3*l**4 + 12*l**2 - l**2 + 4*l**3 - 2*l**i = 0. What is l?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 169029.7686ms?\nAnswer: 0.0002794804375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 655 + -303. Is a a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 t when two letters picked without replacement from {d: 2, t: 2, j: 3, m: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 2*o**3 + 1189. Let h(a) = -104*a. Calculate m(h(i)).\nAnswer: 64896*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10653971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 - -38. Let i be y\/((-175)\/10)*10\/(-4). Does 14 divide 698\/26 + ((-6)\/(-39))\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d**3 + 4*d - 3*d + 2*d**3 - d**2 - 4. Let f = -4 + 10. Calculate the remainder when o(-3) is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 - 2)*(4 - 5). Suppose 2*r + z - 1 = 4*r, -4*z + 12 = 0. Let a = -2 + r. Sort 5, g, a in ascending order.\nAnswer: g, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (992 - 1028) + (54 - 2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -53728, 0.3, 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.7 - 2.2. Let f = -0.22 + 5.22. Let q = g - f. Which is the third smallest value? (a) -3 (b) 0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 707990180?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, d: 9, i: 4, h: 1}. What is prob of picking 2 b and 1 d?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1057 - 3831 = -52*d. Does 47 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3102336 a multiple of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 9:28 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - 0. Let l = 109 - 543\/5. What is the nearest to n in 1\/6, 2, l?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**2 + 214*g + 62301. Calculate t(-131).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2 - 1 + 0 - 2*s - s. Suppose 0 = -w + 3 - 7. 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: Let o be (-30)\/20*1\/(12\/(-128)). Solve 39*p = 43*p + o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 104\/825 and -53\/105.\nAnswer: 5775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(147) - 2*sqrt(147)) + 1)**2.\nAnswer: -84*sqrt(3) + 5293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23142, -23331, -23650, -24105, -24702?\nAnswer: -25447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((3 + -3*sqrt(5)*4 + 4)**2 + 3)*-1.\nAnswer: -772 + 168*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2\/5 (b) 0.3 (c) 2.43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 18 - -5 - (8 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -76639?\nAnswer: 76638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 2220427 to the nearest one thousand.\nAnswer: 2220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q - 2172 - 4*q + 2307 - 7076 - 4*q.\nAnswer: -4*q - 6941","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 - 8*w**2 + 3*w**2 + 0*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + w)*(3*w**2 - 3*w**2 - 2*w**2)*(1536*w**2 + 570*w**2 + 1718*w**2).\nAnswer: -7648*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 355673 divided by -6\nAnswer: -355673\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/4 and 4 + 0 + 565\/(-114)?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 8 - -1 - (-5 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2563, -5114, -7657, -10192?\nAnswer: -12719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v - 2. Let t be (-1)\/(-1 + 2\/4). Let s be a(t). Let r(h) = 11*h + 46. Let i be r(-4). Solve -o - i = -s for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 104 = -0*d. What is the tens digit of ((-3)\/(-2))\/((-6)\/d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4281*c**2 + 2689*c**2 - 1299*c**2.\nAnswer: 5671*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-6) + 10\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -228, -585, -942?\nAnswer: -1299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -107\/20 - -23\/4. Let q be 22\/63 + ((-110)\/1287 - (-20)\/65). What is the closest to y in q, -4, -2\/13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -589? (a) -3\/16 (b) -0.16 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -1331323?\nAnswer: 1331332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4*m + 16 = 0, 8 = 3*m - 1. Suppose -158 = -4*c - 4*q - 2, -2*c + z*q + 66 = 0. What is the greatest common divisor of 12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192071412 and 651?\nAnswer: 1344499884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 303 + -289. Suppose -480 = 6*a - k*a. Let b = 248 + -158. Calculate the highest common divisor of b and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + h**2 - 1. Let d(y) = 7*y - 7 + 3 - 5*y**2 + 10*y**2 - y**3. Let u(x) = -d(x) - 2*f(x). Is u(-6) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -332 + 385. Suppose 3*j + 68 = u. Sort j, 12, -1.\nAnswer: j, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 10 = d + 4*d, d = w + 7. Sort 1\/3, 1.8, d, -0.4 in decreasing order.\nAnswer: d, 1.8, 1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**2*n**3*u - d**2*n**2*u**3 + 54*d**2*n**2*u + 2*d**2*n*u - 7*d*n*u**3 + 1319*n**3*u**3 wrt n?\nAnswer: -6*d**2*u + 7914*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*f**3 + 51*f**3 - 8*f**3 + 31*f**3 as z*f**2 + p + q*f**3 + a*f and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezye when four letters picked without replacement from {y: 1, z: 2, e: 7}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a hour in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j + 6. Let v be i(3). Solve v*n + 9 = -3*a, -14 = 2*n - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) - (sqrt(147) + -2*2*sqrt(147)) - (sqrt(147) + -3 + sqrt(147) + -4*sqrt(147) + sqrt(147)))**2*-3.\nAnswer: -11052 - 630*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*a*a**(-11))\/a*a*a)*a*a**(-3\/13)*a*a*a)\/(a**(-3\/5)*a**(-2\/67)) assuming a is positive.\nAnswer: a**(58353\/4355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 2 (b) -0.4 (c) 7\/225\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1477836487 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/12*24\/9. Let f be 33\/(-22)*k\/(-177). Is -1 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 3*q + 3. Determine p(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3971784?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2320 (base 7) to base 8.\nAnswer: -1517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 12, -g = -5*l + 15 + 13 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 145159174 a multiple of 1366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -0.3, 3, 1\/3, 99, -29 in decreasing order.\nAnswer: 99, 3, 1\/3, -0.3, -1\/3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41457 is divided by 1892.\nAnswer: 1725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16548923 is divided by 7214?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**4 - 4*t**4 + 2*t**4 + 310*t**2 - 190*t**2 + 3*t**4 - 202*t**2 + (-5*t + 3*t + 0*t)*(-t**3 + 2*t**3 - 2*t**3).\nAnswer: 4*t**4 - 82*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/11 + 16628*y**2\/11 - 84224*y + 12948544\/11.\nAnswer: -2*(y - 8258)*(y - 28)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*((-3568)\/4)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -352, -345, -334, -319, -300?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*i + 15 = -54*i. Find the second derivative of -8*y - 99*y**3 + 16*y**5 + 99*y**i wrt y.\nAnswer: 320*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lw when two letters picked without replacement from swwwowooolvtwoowwloo.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 270 = -10*f. Let o = f - -120. Suppose 0 = -5*m - 0 + 15, -o = -3*h - 2*m. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*l - 10 = 0. Let o be (l + (-32)\/15)\/((-16)\/(-24)). Let f = -61\/168 - 1\/84. Which is the biggest value? (a) o (b) f (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1498726840 and 130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0 - c)*(3*c + 3*c - 3*c).\nAnswer: -3*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -63*j + 61*j + 203690. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1588\/5 - -1 - (-50)\/125 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(12\/16*-6)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one twentieth of a meter?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/(-3)*(-60)\/(-25). Suppose -3*h = h - j. Let o be 249\/21 + 3\/21. Solve -5*q = -g - 12, -g = g - h*q + o for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/6)\/(6\/(-9)). Let t be -9 + 1 + c - (-11)\/(-11). Is t != -50\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - -1.8. Let g = 1 - -6. Let d = g - 4. Is y at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 9, j: 4, f: 3}. What is prob of sequence mfj?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**4\/4 - 29*c**3\/4 + 103*c**2\/2 - 136*c + 120 = 0 for c.\nAnswer: 2, 3, 4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/61)\/y**14 assuming y is positive.\nAnswer: y**(-852\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2029502 is divided by 436.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**6\/60 + y**5\/40 - 9*y**4\/8 - 27*y**3\/4 - 27*y**2\/2 + 100*y. Factor c(n).\nAnswer: (n - 6)*(n + 1)*(n + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -45 + -10?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o + 5*o - 12*o + 364*o**3 + 11*o**2.\nAnswer: 364*o**3 + 11*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -77044502*p*y**2 + 43961384*p with respect to y.\nAnswer: -154089004*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57876083.\nAnswer: 29, 1995727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/373330 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -u + 30004, 19998 = -2*w + 4*w + 3*u. Suppose -2*v + 13 = 3. Suppose -o + 49998 = -v*p, p = -0*p - o - w. What is p rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, a: 1, k: 1}. Give prob of sequence ak.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.137 * 11.\nAnswer: -1.507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-16) + 327\/(-4). Let f = 115 + a. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 135 divided by -3503\nAnswer: -135\/3503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/51, -2, -3, 4\/41, 0, 23 in descending order.\nAnswer: 23, 4\/41, 0, -1\/51, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 410142, 820235, 1230328, 1640421?\n\"Answer: 410093*b + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -7\/2*q**2 - 1\/3*q**3 - 9 - 4*q. Suppose -2*u + 8 = -5*t, -3*u + 4*t + 2 = -t. Determine r(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/9 (b) 9 (c) 4 (d) 0.5 (e) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 3 + 3)*(-254*l - 169*l - 113*l).\nAnswer: 1072*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one halves of a microgram in nanograms?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-21))\/(r**(-2\/61)*r))\/(r**(-5\/2)*r)**(-4\/19) assuming r is positive.\nAnswer: r**(-24667\/1159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/4 and 5\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - 2*g. Let v be 2 - (g\/1)\/(-3). Let j(h) = -13*h + 5. Let r(m) = -6*m + 2. Let t(a) = -2*j(a) + 5*r(a). Calculate t(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.5 - -0.5. Let j = -3.2 + t. Let s = 1015 + -1010. Which is the third smallest value? (a) 0.4 (b) s (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1721.98 rounded to the nearest ten?\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 2, -5, -1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*1.39\nAnswer: -0.0278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*f + 51*f - 1383. Let d = -95 + f. Is d a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, c: 2, h: 1, m: 2, k: 3}. What is prob of picking 1 g, 1 c, and 1 k?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7634837209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-2688)*21*104.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 55418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/4)\/((-2)\/24). Is (-14 - -17)*38\/i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 8409 + 19242 = 26*a. What is the greatest common factor of a and 2983?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5094*a**3 - 8*a**2 - 87*a - 3. Let w(x) = -15282*x**3 + 26*x**2 + 259*x + 8. Let r(c) = -8*p(c) - 3*w(c). What is the third derivative of r(b) wrt b?\nAnswer: 30564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -82*n - 10657. Let x be q(-130). Let v = -2 + 2. Suppose v = 2*t - 2. Solve t = x*o - 2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and -4.869?\nAnswer: 0.131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 4*x - 91. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 + 664*v + 55112.\nAnswer: 2*(v + 166)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 6:35 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2110, -2126, -2160, -2218, -2306, -2430?\n\"Answer: -m**3 - 3*m**2 - 2106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 15. Let w be n\/(-6) - 2\/(-4). Suppose 2*u = -3*i + 19, -i + 15 = w*i. Is u at least 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (1 - 77 - -4). Suppose 95 = 5*q + 5*i, -i + t = 3*q + 15. Let n(m) = -4*m - 2. Calculate the smallest common multiple of n(-6) and q.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 3*s**2 - 2*s - 2. Let a be j(-3). Suppose -20 = -a*r, 2*n - 3*r + 27 = 6*n. Let c(k) = 2*k - 2. Calculate c(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 38702 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 21 - (7 + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g. Let v = -4 - 0. Let f(u) be the second derivative of -32 + 0*u**2 + 2*u + 13\/6*u**3. Calculate v*f(b) - 18*z(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 702 = -9*p + 4*p - 4*p + 4*r, p - 52 = 2*r for p.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-126)\/3)\/(-6)*(-14)\/(-343)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336690.\nAnswer: 2, 3, 5, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpyw when four letters picked without replacement from {p: 2, b: 5, w: 4, y: 2}.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -352\/3885 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31127 = 3*z + 2*d, 3*z - 1264 - 29865 = -4*d. Suppose -5*t + 3*y = -30906, t + y = -t + 12358. Let n = z - t. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -133, -3, -1, 2\/9, 8, 486?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*z - 607 = 457 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 5 + 0)*(1 + 0 - 3) + 5 - 2 - 2)*(2*n**3 - 169*n**3 - 274*n**3).\nAnswer: -3087*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 27\/2 of a century?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84124539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**6\/30 + a**5\/2 - 13*a**4\/12 - 4*a**3 - 42*a + 24. Factor m(o).\nAnswer: -o*(o - 8)*(o - 3)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 970610 and 980205.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 170\/50 - 2\/5. Solve 0*x = -4*x + 5*v + 5, -5*x + d*v = 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**8\/10080 - j**5\/15 + 3*j**2. Let v(p) be the third derivative of h(p). Find w, given that v(w) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f**5 - 20*f**4 + 110864*f**3 + 88564724*f**2 - 2*f + 1.\nAnswer: 180*f**2 - 480*f + 665184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2 = 1, -4*x = -y - 115. What is the remainder when 57 is divided by x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 8*c**2. Let b(a) = -3955*a. What is b(y(x))?\nAnswer: -31640*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - o + o)*(0*o + 0*o - 3*o) - 83*o - 82*o**2 + 84*o + 83*o**2.\nAnswer: 7*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 45, 695, 1, 19 in descending order.\nAnswer: 695, 45, 19, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (0 - -5 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 9*a - 3. Let v(f) = -8*f - 12. Let x be v(-2). What is g(x)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -266933*c**2 + 11862*c - 1 wrt c.\nAnswer: -533866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17277 + -17280. Put -2, 1, z, 4, 12 in decreasing order.\nAnswer: 12, 4, 1, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*v - 503 + 529 = -1339 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 3*l + 26 - 41, 0 = 3*j + l - 29. What is the remainder when (-2)\/3 - (-158)\/3 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-60)\/8 - 3)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2042205 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 2*o**2 + o + 1. Let m be ((-6)\/(-7))\/(-3) + 11 + (-1275)\/119. Calculate g(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-4)*(-18)\/3. Let o be (-314)\/6 - 3\/i. Let n = -37 - o. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(136)*1)\/(sqrt(8) + sqrt(288)*2) + -2 + (sqrt(833) + (-1 + sqrt(833) + sqrt(833) - sqrt(833) - sqrt(833))*-4)**2.\nAnswer: 727*sqrt(17)\/13 + 847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4221, -4220, -4219, -4218, -4217?\n\"Answer: b - 4222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - (sqrt(228) + 2*sqrt(228)))*2)\/(1*sqrt(300)).\nAnswer: -4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*k = 1610. Suppose -4*u + k = -6. Let y = u + -47. What is the least common multiple of 6 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19*-2.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -12622, -30 in ascending order.\nAnswer: -12622, -30, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209533?\nAnswer: 209533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyrrlby. Give prob of sequence lr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20484?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + -0.25. Let b = g + -0.22. Let q = b - -0.27006. Round q to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 8. Let a be (8\/(-3) + 1)*18. Let m = k - a. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17a145 (base 14) to base 13.\nAnswer: -232a62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 32306\/203 - 30\/(-35). Calculate the greatest common divisor of 96 and q.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1038007 is divided by 2245.\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -214 in 3\/143, -1, 25?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -106?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 17*z - 7*z)*((-3 + 2 - 1)*(-4*z + 2*z + z) - 1 + z + 1 - 5*z + z + 2*z).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -681366362*q**2*x**2 + 5*x**2 - 54414584 with respect to q.\nAnswer: -1362732724*q*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 48\/1639?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 39*a**2 + 4160*a + 274. What is n(-107)?\nAnswer: 1665","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1360, -62, -4, -87 in ascending order.\nAnswer: -1360, -87, -62, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4}. What is prob of sequence qq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-16)*-5*(-813)\/(-8130)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 - 254\/(-3)*(-243)\/(-54)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + -1 - -2) + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217594 = -167*t + 141*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (734 - 1017 - 1596)*(7 - 7 + 4*a) as g + l*a and give l.\nAnswer: -7516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d - 12. Let r be y(-5). Let v be (-2)\/6*(0 - r). List the prime factors of (2\/v)\/((-14)\/(-595)).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.41 * -1.67.\nAnswer: 0.6847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1164)\/(-2037) - 194\/(-14)*11. Solve 15*o + z = 78 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 30*i + 479. Calculate o(-15).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -j - 4. Let a be (-1)\/2*j*0. Let t = 27 - a. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 82477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 5, 0.24 in decreasing order.\nAnswer: 5, 0.24, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, -119 in decreasing order.\nAnswer: 3, -6, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 725169358?\nAnswer: 2, 362584679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 0*c + 94 = -2*g, -149 = 3*g + 2*c. Let a = g + 105. What is the remainder when a is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h**2 + 2*h**3 - 5*h**2 + 0*h - 2*h**3 + 0*h + (2*h**2 - 2*h + 2*h)*(-5 + 5 - h) + (-3 + 58*h**2 - 4 - 57*h**2 - 2*h)*(-8*h - 12*h + 13*h).\nAnswer: -9*h**3 + 14*h**2 + 49*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*g**3*v - 2559*g**3 - 3846*g*v + 3*v wrt g?\nAnswer: 54*g*v - 15354*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 96.8 + 675.2. Let z = l - 771.9999667. What is z rounded to six dps?\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 190 - 29. List the prime factors of r.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**3\/3 - 308731*p**2\/3 - 308732*p\/3 = 0?\nAnswer: -1, 0, 308732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7, 3, -5, -1573, 2, 0.\nAnswer: -1573, -5, 0, 1, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -361.3862 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tgjgdggjtjjjt. What is prob of sequence tgd?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-6))\/((5\/20*-8)\/6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 23*n**4\/12 - 20*n**3\/3 + 84*n - 3. Let c(q) be the first derivative of a(q). What is the second derivative of c(b) wrt b?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 391197 - 782097. What is z rounded to the nearest ten thousand?\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b - 11. Let r be h(14). Suppose -c - r*c = -20. Suppose -2*s + 6 = -z, 2*z + 15 = -c*s + 48. Solve -2 = 3*w + z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 91*a + 9. Let i(c) = 41*c + 2. Let g(x) = 2*i(x) - r(x). What is g(6)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 36, -0.0401, -29.\nAnswer: -29, -0.0401, 3\/2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 245084334, 490168669, 735253006, 980337345, 1225421686, 1470506029?\nAnswer: 1715590374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c**3 - c + 1. Let n(u) = 3*u**2 + u - 1. Let o be n(1). Let y(h) = -3 + 1 - h - o*h - h**2. Let j be y(-3). Calculate l(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 668*a - 1322*a - 10*a**2 + 657*a + 8 to the form y*a + l + r*a**2 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 3. Suppose 0 = 2*r - 74 + 22. Suppose r + 4 = 5*o. Suppose -o*c + 6 = -3*c. Let w(p) = -2. What is c*b(k) - 3*w(k)?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*o + 33*o + 5*r = -55, -2*o - 23 = r for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*o - 28 = 117*o. Let i = 33.3 + -33. Which is the nearest to -2\/7? (a) o (b) -4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, c: 5}. What is prob of sequence cc?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 34, 137, 300, 517, 782, 1089, 1432?\n\"Answer: -f**3 + 36*f**2 + 2*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1\/6, 13 in descending order.\nAnswer: 13, 0.1, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 108, 27, -45, -5, 4.\nAnswer: -45, -5, 4, 27, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x = -2 - 10. What is the third biggest value in -0.5, x, -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.16, 5, -1 in increasing order.\nAnswer: -1, -0.16, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4130638479?\nAnswer: 3, 11, 173, 241177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5328 (b) 0.126 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 69489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.11, -140 in descending order.\nAnswer: 0.3, -0.11, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2554, 2573, 2604, 2647?\nAnswer: 2702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 131?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -4*w**6\/3 - 5*w**3 - 23. Find the third derivative of k(x) wrt x.\nAnswer: -480*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 256*w - 88*w - 3568488. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 2:43 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {f: 1, v: 5, p: 1, n: 1, s: 1}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*c = 96, -8 = -4*c + 4. Let d = h + -19. Let y = 11 - 6. Calculate the smallest common multiple of d and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 f when three letters picked without replacement from fffffqffffqfqq?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i - i**2 - 2*i)*(1 + 1 - 6) + (-2*i + 3*i + i)*(-14928 + 14928 + 1313*i) as w + m*i**2 + n*i and give m.\nAnswer: 2630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/(-4)*(-2)\/8. Let f(r) = -r**2 + r + 1. Let k(p) = 18*p**2 - 33*p + 12. Suppose v + 3*v - 60 = 0. Let n(s) = g*k(s) + v*f(s). Factor n(h).\nAnswer: 3*(h - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by 34997?\nAnswer: -28\/34997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 180130.7um to nanometers.\nAnswer: 180130700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.7 * 9\nAnswer: -15.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(-2*y**3 + 2*y**3 + 4*y**3) + 21*y**3 + 30*y**3 + 20*y**3.\nAnswer: 67*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/24 and 65\/102.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 73.8 from -3.\nAnswer: -76.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -1\/9, -0.019, 3 in decreasing order.\nAnswer: 3, -0.019, -1\/9, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -72 - -70. Let y be 128\/(-48)*(-3)\/i. Let q(b) = -b**3 - 3*b**2 + 4*b + 2. Calculate q(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 13 = 5*m + 3, 5*m - 35 = -3*w. Suppose -3*q + w*q - 4 = -4*a, -3*a + 3 = -5*q. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-366*a + 366*a + a**3)*(2 - 3 - 1)*(-1 + 0 + 0).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 545467873 to the nearest integer?\nAnswer: 23355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -2*x + 2 + 6, 3*f = -5*x + 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 2*r = -16, 3*q + r - 3*r + 1 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 47*n**2 - 205*n - 64. What is u(-51)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -78*o**4 + 5*o**3 + 1968*o**2 wrt o?\nAnswer: -1872*o + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-2 + -1) + 9. Suppose -s + w = -1. Calculate the highest common factor of s and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zd when two letters picked without replacement from {d: 3, z: 10}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (-54)\/(-2)*(-15)\/(-45). Let d(k) = -k**3 - k**2 + 4*k + 1. Let v be d(-5). Calculate the highest common factor of g and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*q + 4 = 4*j, -2*j - 2*q = 2. Suppose 0 = 5*m + y - 105, -j*m + m - 2*y = -50. What is the smallest common multiple of m and (-3)\/(2*(-6)\/88)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yooyyyyyoyyooooooyo. Give prob of picking 2 y and 1 o.\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - (264\/(-55) - 1\/5). Solve -3*t - 5 = r*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 762254.9 meters to micrometers.\nAnswer: 762254900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - ((2 - 25) + -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 + -35. Let p be (9\/(-5))\/((-3)\/l). Solve -p*k + 10 = -2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 63\/(-168) + (-131169)\/(-408) + 2\/(-17). What is the highest common divisor of o and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -k - 53, 5*k + 2103 = 61*f + 359 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -5 + 2 + -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 14. Suppose 3*k - 2*c - 2*c - 15 = 0, -4*k + 5*c = -19. Suppose k = -0*n + n. What is the nearest to -1 in -1\/10, n, r?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1584)\/216*(6 - (1 - -2)) + 6.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 2:30 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -111012010201001 (base 3) to base 14\nAnswer: -d06877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**6\/1260 - w**5\/210 + 4*w**3\/3 + 5. Let j(d) be the third derivative of i(d). Find m such that j(m) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1560.2 + -1559.8. Which is the nearest to 0.2? (a) 3.4 (b) -2\/5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 336 = -4*g - h, 4*g = 4*h + 336. Let l(p) = 12*p + 3. Let k be l(4). Let i = g - k. Calculate the greatest common divisor of i and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(200) + 1)*-4 - (sqrt(200) + -2)*-6) + ((sqrt(200) + -1 + sqrt(200))*3 + (sqrt(200) - ((-1 + -1 + sqrt(200) - sqrt(200)) + sqrt(200))))*-6)**2.\nAnswer: 6800*sqrt(2) + 231300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4337?\nAnswer: 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l. Let t(r) = 20*r - 4*r**2 - 11*r - 9*r. What is b(t(o))?\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54396526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (-137 - 19)\/(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 4*w**4\/9 + 942005*w**3\/9 + 55456717241*w**2\/9 - 485320520465*w\/9 - 13866240025 = 0.\nAnswer: -117755, -1\/4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of w**3\/3 - 3*w**2 + 1. Let o(k) = -256*k**2 + 1. Let y be o(1). Let v = 261 + y. Give g(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 21*w**2 - 5*w - 103. Let t(k) = -42*k + 21. Let f be t(1). Let g be h(f). Solve -4 = -0*b + g*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(1\/4)*v**(1\/2)*v*v**(-5\/8)*(v\/(v\/(v\/(v**(-17)*v))))\/v)**(-4) assuming v is positive.\nAnswer: v**(-145\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 115 - 118. Let i = -31.2 + 28. Let m = i + 3. What is the nearest to 2\/5 in -3\/7, o, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -904 + 1777. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 441*r**3 + 98*r wrt r.\nAnswer: 2646*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 861 is divided by 569.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*p = 3*i + 2, 4*i = 2*p + 10. Sort i, 4, 32, -1 in descending order.\nAnswer: 32, 4, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9053061, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.015 + 21.015. Let q = j + -21.23. Let d = q + 0.43. Do -3 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(4\/(8\/(-3))). Suppose -z*k + k + 3 = 0. Let d be -290 - -296 - (-1 - 6). Solve -k*v - d = -0*v - 2*y, 2*y - 11 = v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44878909*a**4 - 9371*a + 427 wrt a?\nAnswer: -538546908*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7383388255 and 123.\nAnswer: 7383388378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -629, -2\/7 in increasing order.\nAnswer: -629, -2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 2*u**2 - u + 3. Let v be k(0). Suppose -v*h + 100 = 1. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 3)*(-3 + 2 + 27 + 12)*(10*a**2 - 4*a**2 - 18*a**2) as r*a**2 + i*a + l and give r.\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (0 + -2*sqrt(200) + sqrt(200) + 4 + (sqrt(200) - (1 + sqrt(200))) + -3 + -4 + 4)**2.\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 + -29. Let a(z) = z**3 + 13*z**2 + 9*z + 5. Let b be a(-12). Let k = b - i. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -7161*r**2. Let a(w) = 2*w**2 + 225. What is a(y(n))?\nAnswer: 102559842*n**4 + 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 586948 divided by 2.\nAnswer: 293474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.02 (b) 4\/9 (c) -16166\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 9*r - 500 = 5*d, -4*d = 3*r - 293. Let a(m) = -2*m**2 + r - 99. Let k(l) = 142*l**2. Determine a(k(j)).\nAnswer: -40328*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -432 = -45*z - 72 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 9*t**2 + 18*t + 18. Let s(l) = -l**2 - l - 1. Let z be (-14 - -7 - -15) + -4 + 14. Calculate z*s(x) + j(x).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.537159 plus -30426?\nAnswer: -30425.462841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -980 (b) 21405 (c) 5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 164613 and 333?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 863258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 2*q + 3. Suppose -3*m = -4*a + 2, m = -m + 2*a - 2. Let p be n(m). Solve -3*w = -3*y + 3, -2*w = -p*y - y - 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 78 - (-5 - (-6)\/3). What is the highest common factor of 324 and q?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*u = 276*u + 615 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -35079?\nAnswer: 35076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2*c + 12. List the prime factors of 1352\/16 - c\/(-4).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 307665?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5*v - 6, 8 = 3*a + 2*v + 3. Let f be -1 + -1 - a - 4401\/(-6). Let m = 694 - f. What is the common denominator of 65\/18 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 211, -1, 2, -60, 5 in ascending order.\nAnswer: -60, -36, -1, 2, 5, 211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*f - 503 - 307. Let h = 148 - f. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*s - 34*s + 4*u - 22, 2*s + 11 = 5*u. Solve 5*c + 4*l + 13 = 0, -5*l + 28 = -s*c + 3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/45, 0 in decreasing order.\nAnswer: 5, 1\/45, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f\/f**(2\/15))\/f))\/f*f**(2\/5))**(-13\/3)\/(((f*(f*f**(1\/3)\/f*f)\/f)\/f)**43\/(f\/(f**(-1)*f)*f**0*f)) assuming f is positive.\nAnswer: f**(-659\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 148 divided by 6\nAnswer: 74\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -298760.96 to the nearest one thousand.\nAnswer: -299000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18444211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 53 = 5*o, -2*t - 18*o = -20*o - 18. Solve t*v + 108 = -4*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -205*n**2 + 1. Let g(z) = -3*z**2. What is i(g(t))?\nAnswer: -1845*t**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 86134208051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2386873.\nAnswer: 2386873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/757821 or -1?\nAnswer: -1\/757821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1420 divided by 355?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/13)\/(o**(-2\/5)*o))\/(o*o*(((o*o**21*o)\/o)\/o)\/o*o**(-2)*o*o*o*o) assuming o is positive.\nAnswer: o**(-1589\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -130\/3*z**3 + 134*z**2 + 115\/3*z**4 + 0 + 0*z - 7\/12*z**5. Factor o(m).\nAnswer: -5*(m - 26)*(7*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 + -1 + 0 - -3) + -27.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*s + 16, 3 = -5*s - 4*y + 1. Let a(g) = g**2 + 8*g - 1. Let t(l) = -l**2 - 9*l. Let p(o) = s*t(o) - 3*a(o). Let k = 3 - 8. Give p(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 170 + -29. Suppose -24 = 129*b - r*b. Solve -4*v + 12 = -4*h, -b*v = 5*h + 11 + 4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -0.2, 0.01, 0.02, -816, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t + 67*x - 70*x - 71, -x = -2*t + 25 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 k when two letters picked without replacement from mmazmaammakaakkk?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2702?\nAnswer: 2, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 8*n**3 - 4*n**2 + 6*n. Let u(l) = -l**2 + l. Determine -m(i) + 4*u(i).\nAnswer: -8*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4899736 is divided by 1338?\nAnswer: 1318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -75 + 31. What is the nearest to -0.1 in 5, -1\/2, -5, j?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -0.3, -1\/9, 10?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 333 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 73941 or -50?\nAnswer: 73941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 8*b + 14. Let h(a) = -a**2 - 7*a - 15. Let m(p) = -7*f(p) - 6*h(p). Calculate m(-12).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 702790617 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 13 + 75 = 0. Let c = o - -71. Suppose -17*s + 22*s = 135. Calculate the lowest common multiple of s and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49826 + 26474 = 20*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366*r - 1243*r + 848*r + 3248 = 0 for r.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*z**2 + 2\/5*z**3 + 0*z + 0 = 0.\nAnswer: -705, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 + 372*d + 30951.\nAnswer: -3*(d - 181)*(d + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/140 and 109\/28980.\nAnswer: 28980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**2\/4 + 2110177*m\/2 - 4452846971329\/4 = 0?\nAnswer: 2110177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -1 - 1 - 5*v - 4*v. What is the units digit of s(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006264 rounded to seven dps?\nAnswer: 0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 23028219 and -822?\nAnswer: 23029041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 135?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**35\/c**(-9)*c**(-9)\/c**(2\/27) assuming c is positive.\nAnswer: c**(943\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 2 - 18 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 >= -18382?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (1 - (-5 - 0)) + -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2501 + -1285. Calculate the greatest common factor of 38 and c.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 7:47 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8, -3\/37, 5, 396.8?\nAnswer: 396.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**0))**(-36)*(z*z*z*z\/(z*z*z**(-2\/13))*z)\/(z*z\/(z*z**(-4))) assuming z is positive.\nAnswer: z**(-24\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**5*g**(4\/5))\/((g*g**(-1))\/g)**37*(g**(-1))**9\/(g**(2\/3))**(-38) assuming g is positive.\nAnswer: g**(902\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q**2 - 2*q - 1. What is the lowest common multiple of 9 and a(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 113723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.3 plus 111039072884?\nAnswer: 111039072872.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -22, 25, -3.\nAnswer: -22, -3, 1, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 + 3. Let d(n) = -1 - 9 + 70*n**2 - 71*n**2 + 10. Calculate d(z(x)).\nAnswer: -4*x**4 + 12*x**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 385 or 1156\/3?\nAnswer: 1156\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5286464, 5286475, 5286476, 5286461, 5286424, 5286359, 5286260?\nAnswer: 5286121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 10:54 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101 - 168 - 282 - 22 - 51)*(7*h - h + 6*h).\nAnswer: -5064*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2044244?\nAnswer: 2, 511061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*d = -312*d - 35 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*z**2 - z**3 + 12*z**2)*(96*z + 112*z - 77*z)*(0 + 1 - 3).\nAnswer: 262*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -223221 rounded to the nearest one thousand?\nAnswer: -223000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 + -17. What is the highest common factor of 54 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.46 + 0.373. Round k to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70.46 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5937 + 29*c - 5937.\nAnswer: 29*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2 = -3*h, 5*h + l = 27 + 13. Calculate the remainder when 161 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58 + 289\/5. Which is the smallest value? (a) -45 (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 33.316192768635 and -0.2.\nAnswer: 33.116192768635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 3964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0446229458355 - 0.1.\nAnswer: -0.0553770541645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8801, 8742, 8683, 8624?\n\"Answer: -59*y + 8860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 156\/(-10)*(66\/(-24))\/(-11). Let d = b - -137\/30. Let n = -0.5 + 0.9. What is the third smallest value in n, -2\/7, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 24, 70, 134, 216, 316, 434?\n\"Answer: 9*q**2 + 19*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 c, 1 q, and 1 i when four letters picked without replacement from cqqiz.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9935516, -1.4, -0.2 in decreasing order.\nAnswer: -0.2, -1.4, -9935516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**3)**(-7\/6)*(t**(-1\/4))**(25\/4) assuming t is positive.\nAnswer: t**(-81\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8376191 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 18 + 5)*(2*n + 0*n - 4*n + (-n - 1 + 1)*(2 + 2 - 5)).\nAnswer: -39*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*a - 2, 2*y + 0 - 4 = 5*a. Suppose y*k - 5 = k. Suppose 0 = -k*z + 42 + 83. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of g**3 - 4*g - 3. Let n(r) = 11*r**2 - 2. Let v(c) = 5*c**2 - 1. Let x(f) = 4*n(f) - 9*v(f). Determine j(p) + 4*x(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 7*y**2 - 4*y - 2. Let a = -138 - -142. Does 79 divide x(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(3\/5)\/v)\/v**(-3\/7))**(-18))**(8\/7))**0 assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -0*j - 160. Let y = j + -21. Let q**3 - 13*q**3 - 6*q**5 + 2*q + y*q**4 - 3*q**4 = 0. Calculate q.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*(4 - (-7)\/(-2)). Let a(w) = 4*w**2 + 3*w - 3. Let r(i) = 5*i**2 + 4*i - 4. Calculate l*r(k) + 4*a(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/(3 + 0))\/(6\/3). Suppose -17 = -o - 5*r, 5*o = -2*r + 36 + 3. Solve 5*x - 3*l = -14, f = x - 2*x + 2*l - o for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 4*l - 450, -193 = -2*o - 2*l + l. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3314802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 3*j + 24, -a - 14*j + 13*j + 2 = 0. Let d be a\/30*-2 - (-7)\/21. Solve -4*v + 6*v + 4 = d for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.17570098 to three dps.\nAnswer: 0.176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*t + 4*s, -3*t - s + 2 = -4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 67 = -83 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 7*c - 0*c. Calculate the lowest common multiple of c*(3 - 22\/3) and 30.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3673 a factor of 2824470579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 5*f = -7. Let h be (1 - -4) + f\/1. What is the common denominator of h\/22 - (-2 + 2755\/330) and -58\/5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1206251 + 24?\nAnswer: -1206225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 1574*h**2 + 957*h - 4. Let j(k) = -3147*k**2 - 1917*k + 7. Let g(o) = 7*a(o) + 4*j(o). What is the second derivative of g(z) wrt z?\nAnswer: -3140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -2b?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 628, 665, 750, 883?\nAnswer: 1064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -700*a + 14. Let s(k) = -459*k + 9. Calculate -5*h(r) + 8*s(r).\nAnswer: -172*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 715d62 (base 15) to base 2\nAnswer: 10100100010111110011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 0.1. Let t = -55.16 - -55.66. Put 5, -0.03, t, j in decreasing order.\nAnswer: 5, t, j, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (6 + -6 + 12 + -10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4376034 (base 8) to base 12.\nAnswer: 48a110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31758 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 7032?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*b**2 - 63*b - 63*b + 111*b wrt b?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -6*m + 10. Let w = -9278 - -9285. Let j(q) = -3*q + 5. Give w*j(y) - 4*z(y).\nAnswer: 3*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*x**3 - 126*x**3 - 1 + 6 - 2*x**2 - 5.\nAnswer: -63*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1172729206 to the nearest integer?\nAnswer: 1055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 20 (b) -2\/9 (c) 3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*v + 57. Let u be ((-10)\/v)\/((-6)\/9). Put -2\/9, u, -0.1 in descending order.\nAnswer: u, -0.1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -7*d**4\/4 - 8*d**3 + 39*d**2 + 1. Differentiate l(r) wrt r.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c - 2. Let y(j) = 16*j - 1 - 60*j + 19*j + 24*j. Suppose 0 = -5*h - 0*h + 80. Let q = h - 13. Give q*y(d) - 2*p(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**5 + 2*u**5 - 2*u**5 + (-3 + 3 - 1)*(0*u**2 + 0*u**2 + u**5) + 0*u**3 + 0*u**3 - u**5 + 0*u**3 + 2*u**5 + 0*u**3 - 3*u**5 + 2*u**5 - u**5.\nAnswer: -4*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1685, -1877, -2191, -2615, -3137, -3745, -4427?\nAnswer: -5171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-21))\/(11972\/1722).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 14) in base 15?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13052, 52365, 117972, 209873, 328068, 472557?\n\"Answer: 13147*x**2 - 128*x + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16 - 19*b + 16 + (5 - 3 - 1)*(b - 1 + 1) + 2*b - 2 + 2 + (3 - 2 + 0)*(b - 4*b + 4*b) + 4*b - 4*b + 6*b.\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -85*y**3 - y**2 - 9*y - 9774 wrt y?\nAnswer: -255*y**2 - 2*y - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 162*d - 1463. Give q(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -0.03?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**3 - r**2 + r - 1. Let s(o) = 79*o**3 - 4*o**2 + 4*o - 3. Give 4*i(g) - s(g).\nAnswer: -71*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5*n**2. Suppose -5*j + 2*x + 82 = -2*x, 0 = 3*x - 6. Let b(p) = -3*p + 18 + 0*p - p - j. What is b(h(k))?\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 466 (base 7) to base 16.\nAnswer: f4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 2*n = -10*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 306377997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -4*a**3\/5 + 5828*a**2\/5 - 34824*a\/5 = 0.\nAnswer: 0, 6, 1451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 17332, 17333, 17334?\n\"Answer: l + 17331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3624 = 79*a - 76*a. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -7*o + 11. Let d(a) = 6*a - 11. Let s(i) = 6*d(i) + 5*j(i). Let p be s(8). Let f be 10*(-96)\/(6\/p). Round f to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2603*h - 201123 = 120*h for h.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-9 - -8)\/((-2)\/302)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -152*q + 154*q - 11, 0 = -2*l + 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*b**3 + 49*b**3 + 43*b**3 + 45*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -514150 (base 6) to base 5.\nAnswer: -2303411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + sqrt(20) + -4)*-1 + (sqrt(40) + 1*sqrt(160)\/sqrt(4) + sqrt(40))\/((-2*sqrt(1152) - sqrt(8)) + sqrt(8)))*-5)**2.\nAnswer: -2975*sqrt(5)\/4 + 114525\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11709 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 684481982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2432)*1)\/sqrt(2).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 551179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/10*((-37128)\/336 - -118).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 + d**2 - 22577*d**3 + 22595*d**3.\nAnswer: 18*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -707792544 divided by 8?\nAnswer: -88474068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 313 divide 270651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 327 a factor of 22537821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a - a - 3*a + 26 - 24 in the form u*a + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 158884\/7 + -22079. Let k = 620 - b. Calculate the common denominator of -18\/17 and k.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 4375.65 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 10:31 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/((-20)\/(-2)) - 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -21\/170918?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + h + 1. Let k(f) = f**3 + 8*f**2 - 9*f - 7. Let v(z) = -3*k(z) - 21*p(z). Suppose v(n) = 0. What is n?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4*o - 44 = 0, g - 5*o - 5 = -0*g. Find the third derivative of 5 + 4*x**6 - g*x**2 - 5 wrt x.\nAnswer: 480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*d**5 + 59*d**5 - 35*d**5 + (4*d**2 + 5*d**2 + 0*d**2)*(d**2 - d**2 + 2*d**3).\nAnswer: 67*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8673 - 1025 = 47*h + 52*h - 2372 for h.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 336953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*h + 124 = 0, 0 = 3*s - h - 0*h + 200. Let x = s - -69. Which is greater: x or -1\/27?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 740029.23 to the nearest one hundred.\nAnswer: 740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*y = -16, -5*y = -5*h + 30. Let o(g) = 8 + 2*g**h - 4 + 3 - 3 - 5*g. Let r be o(3). Solve 0 = 5*x + s + r + 5, 0 = -2*x - 5*s - 14 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 117 and 481?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2113890873.\nAnswer: 3, 704630291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41.2 - -41. What is the closest to 1 in 0, 5, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/45, -38495, 0, -0.2 in ascending order.\nAnswer: -38495, -0.2, -1\/45, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 8*x - 9. Let q be g(6). Suppose 0 = -q*v - 0*v + 12. Suppose 0 = 2*y - 4*y + v. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48442498 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70 - 71. Let r be ((-36)\/72)\/(x\/(-6)). Put r, -8, 1\/4, -1 in descending order.\nAnswer: 1\/4, -1, r, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*f = 81, 2*f + 29 = m - f. Let u(p) = 4*p - 5 + 6 - 10. Let s be u(4). Calculate the highest common factor of m and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/7)*d*(d\/((d**(2\/3)\/d)\/d))\/d)\/((d*d**(-15))\/((d*(d\/(d\/(d\/d**(-3\/29))*d))\/d)\/d)) assuming d is positive.\nAnswer: d**(9488\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2476\/3 + 19985\/24. Find the common denominator of h and 6\/(-252)*-3*(-109)\/(-2).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -1462, -2, 19, -5.\nAnswer: -1462, -5, -3, -2, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 92140867?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*s - 35*s. Suppose 88 = 4*v + 3*f + 24, 3*f = s. Solve -4*w + 0*w - v = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 39*v**2 + 20*v - 150. What is the remainder when u(6) is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -6*k**2 - 10*k + 14. Let d(m) = m**2 + 2*m - 3. Suppose -4*a + a = -3*o - 36, 2*o + 2*a + 20 = 0. Give o*d(s) - 2*n(s).\nAnswer: s**2 - 2*s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z - z**4 - 4*z + 4*z**3 - z**4 - 4*z**3 + (-z - 4*z + 7*z)*(2*z**3 + 3*z**3 - 3*z**3) - 25*z**4 + 23 - 23.\nAnswer: -23*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1995\/1064*(-288)\/(-20)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52599613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 720284.6 days?\nAnswer: 17286830.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -710, -712, -714, -716?\nAnswer: -718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 123611.053*4\nAnswer: 494444.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.5008971 and 0.723.\nAnswer: -0.7778971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of 0 - 3*o - 5\/2*o**3 - 5\/2*o**2. Is h(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 2. Suppose 0 = -v - v - u. Put 4, v, 1 in increasing order.\nAnswer: v, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 k, and 1 o when three letters picked without replacement from {o: 3, v: 1, p: 3, f: 6, h: 1, k: 3}.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in centuries?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.018698 rounded to 1 decimal place?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000753873 to six dps.\nAnswer: -0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2965.755788 rounded to the nearest one hundred?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1826 + 6*j + 1826 + j**3 - 31*j**3 + 4*j**3 - 12*j**3 - 2 - j**3 + 2 + (j - j - j)*(2 - 2 + 2*j**2) + 0*j**3 - 3*j**3 - 2*j**3.\nAnswer: -46*j**3 + 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**2 + 36012*s + 79577784 = 0. Calculate s.\nAnswer: -5109, -3894","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11 - -12)*(-1 - 0). What is the units digit of (-618)\/(-18) - k\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.01 - 0.01. What is the biggest value in 0.1, h, -10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -643\/2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -44498, -44504, -44522, -44558, -44618?\n\"Answer: -o**3 + o - 44498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10111330133 + 1?\nAnswer: 10111330200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.554*-0.4.\nAnswer: -0.6216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*a + 26 = -11*a - 69. Let g = -1 + -3. Put a, 12, g in decreasing order.\nAnswer: 12, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/31000 and -19\/120.\nAnswer: 93000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 33, 40, 47, 54?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 + 88. Let r = 4 + 21. Let q = -17 + r. Calculate the greatest common factor of q and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -155 > 57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 14, -5, 2 in descending order.\nAnswer: 14, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/2 - 1)\/3. Solve 0 = w + 4 + g for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 2*c - 12. Let y be r(-5). Suppose 3*v - y*p = 15, -3*p = -v + 2*p + 1. Let b(k) = 1 - 3 + k - 3 - v. Determine b(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 2 - 4. Let o be 3\/w*-2*-1. Suppose k - 20 = -n + 4*n, -2*n = -o*k + 46. 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: Simplify (m**17\/(m*m\/(((m\/m**13)\/m*m)\/m)))\/(m*m**7*m\/m**(-16)) assuming m is positive.\nAnswer: m**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(12 + 0) + 4. Suppose 4*k + f = 3*k. Let v be (0 - (-8)\/k)*-7. Solve -4*j - 5*g - 30 = 0, 0*j + v*g = -2*j - 14 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -228*d**2*y**3 + 123*d**2*y**2 + 4*d*y**6 - 7*y**2 wrt y?\nAnswer: -1368*d**2 + 480*d*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-709)\/(-3)*(-11 + 14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45484*q**2 + 45484*q**2 + 296*q - 90971*q**2 to y*q + a + h*q**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, p: 2, c: 1, d: 9}. Give prob of sequence dd.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*a - 2412 = 43*a. Does 29 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 5. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/6)\/(-3)*47\/(1034\/44).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 424824.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**3 + 35*v**4 - 2*v**2 + 2*v - 12*v**4 - 9*v**4 - 11*v**4 to x*v**4 + m*v**3 + b + u*v**2 + g*v and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*1 + 11 + -79. Is (5 + -3 - h)*(24 - 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -179 - -4511b3?\nAnswer: 451036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) 3 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*f, -3*n - 33 = -3*f - 27 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + -1 + (-98 - -120)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 431 + -246. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 6*k**3 + 3*k**2 - 8. Let b(p) = -2*p**2 - 2 + 7 - 1 - 2*p**3 - p**3. Let n(c) = 5*b(c) + 3*d(c). Is 16 a factor of n(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00051661441 rounded to six decimal places?\nAnswer: 0.000517","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7419.95371 + 7420. Let v = -45.954 - -46. Let p = v - a. Round p to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-380)\/6688*110)\/((-45)\/(-20)).\nAnswer: -25\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d + d + 3*d + 0*d. Let m(x) = 7*x. What is m(o(c))?\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 51477529 to the power of 1\/2, to the nearest integer?\nAnswer: 7175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*0.0939121.\nAnswer: 0.0939121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -460 - 179*g - 105*g - 209*g + 126*g wrt g.\nAnswer: -367","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*s = -113*s + 231. Suppose -8 = 2*z + 4*o, 0 = 4*z + 5*o + s - 4. Solve -4*b = -5*b + z for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 5) + -5 - -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/3143 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from uitxxuxtxj.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.54 - 0.46. Which is the nearest to -1? (a) -0.5 (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -209*j**2*m**3 - 69671*j**2*m + 94988851*j*m**3 - 2*j*m wrt j.\nAnswer: -418*m**3 - 139342*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4094 - 4067.785. What is a rounded to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 593*a - 3 + 587*a - 1185*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.11 - -0.07. Let i = p + 0.34. Which is the closest to 0? (a) 1\/4 (b) i (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -127.7233 and -8?\nAnswer: 1021.7864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) 5 (b) 0.3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37087 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5*l + 5. Let j be h(0). Let f = -13 - -18. What is the second derivative of 3*r**5 - 10*r**f + r + 8*r**j wrt r?\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 32, 55, 64, 53, 16, -53?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**4 - 6*m**4 - 14*m**4)*(-4*m - m - 4*m) + 4*m**5 - 5*m**5 + 0*m**5.\nAnswer: 134*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/126 and -107\/84?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 15\/10) + (-5)\/(-2). Let n be ((-1 + 607)\/y)\/(-2). Let b = n - -178. Calculate the remainder when b is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4058 + 1245808\/307. Suppose -13*o = -37 - 28. Suppose -2*p = 4*f + 8, -5*f = 4*p + 15 - o. Which is greater: b or p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 27 - 7 = 0. Solve 2*w - 22 = j*g - 0*w, 3*g = w - 15 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -0.5, 4, 19?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - w = -4*w - 12, -w - 4 = -4*i. Suppose 15 = -10*p + 13*p. Let s be (30\/(-9))\/p*(-9)\/2. Solve -s*v = -i*v + 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 1 + 5 - a + 20. Let i be l(15). Suppose 12 = -3*t - 4*f, 5*f - i = -t - 4. Sort -5, 1, t.\nAnswer: t, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*a - 198*a - 1652 = 0. Let z(b) = b**3 + 13*b**2 - 15*b - 20. Determine z(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -34538*n - 33538. Determine t(-1).\nAnswer: 1000","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 421 + -204. Suppose 37 = f - 2*v, -5*f + 2*v + 0*v = -s. What are the prime factors of f\/10*(-4)\/(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 8)\/(-1)*2. Suppose i*s - 18 = 12*s. What is the smallest common multiple of s and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*u = -d - 381, -4*u - 758 = -2*d. Let i = -77 - u. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/20)\/((-6)\/(-504)*-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15353*v = -15336*v + 81 + 4 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26219114 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -1100110011100100?\nAnswer: -1100110011101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 96371 + 2?\nAnswer: 96373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -234943*p**4 + 3*p**3 - 151*p**2 - 689909482*p?\nAnswer: -2819316*p**2 + 18*p - 302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yz when two letters picked without replacement from {a: 2, y: 1, z: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 42.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -124, -139, -154?\n\"Answer: -15*k - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 6*b**2 - 4*b - 2. Suppose 14*a - 3*a = 44. Calculate the remainder when 124 is divided by z(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43513649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -108 - -113. Suppose 4*m - 3204 = -3*s, 2392 = 2*m + m + y*s. List the prime factors of m.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -18 (c) -4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 3*r + 1, p = -5*r + 3*r + 5. Let k(w) = -w - 1. Let z(a) be the first derivative of -a**2\/2 + 4*a - 576. Calculate p*z(s) + 4*k(s).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 7*a**3 - 6*a**2 + 4*a - 2. Let f(i) = 8*i**3 - 7*i**2 + 5*i - 2. Let o(j) = 6*f(j) - 7*s(j). Let p be o(-2). Which is greater: 5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)*1*-3 + sqrt(1344)*2)\/(sqrt(4032) + sqrt(4032)*-4).\nAnswer: -13*sqrt(3)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6b1 (base 12) to base 16\nAnswer: -3e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.54 - -0.16. Let h = -183 - -182. Which is the second biggest value? (a) 0.5 (b) h (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 67, 126, 229, 394, 639, 982, 1441?\n\"Answer: 3*m**3 + 4*m**2 + 26*m + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*w + 0 = 12, 21 = 3*j + 5*w. Solve -7*s + 25 = -j*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3086.565s in microseconds?\nAnswer: 3086565000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 2:06 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -570, -571, -572, -573, -574?\nAnswer: -575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6632*g**4 - g**3 - 2*g**2 - 22538*g wrt g.\nAnswer: 79584*g**2 - 6*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 16 = -4. Is -6*1082*i\/(-24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344*k**2 - 47569*k**3 + 95084*k**3 + 344*k**2 - 47519*k**3.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a**2 + 20*a + 24. Let c(w) = 4*w**2 - 20*w - 24. Let k(q) = 6*c(q) + 5*t(q). Factor k(o).\nAnswer: 4*(o - 6)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -338 + 340. Solve 0 = -7*l + f*l + 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1210 - 1150?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12 or 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, t: 6, x: 4, m: 4}. What is prob of picking 2 x?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.8 + 6.8. Let o be ((-4)\/52)\/(2\/(-4)). What is the second biggest value in o, g, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.107 - -4.107. Suppose -z + 3 = -5*w + 13, -z + 2*w - 1 = 0. Let d = 2 - 1. Put d, z, y in descending order.\nAnswer: z, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 492 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-3))\/(-7)*2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -134707*g + 1077659. What is m(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005918 rounded to six decimal places?\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249 = -2*s - 3*y, -23*s = -26*s + y - 357. Let r be 2\/(-8) - 14*9\/s. What is the nearest to -3 in r, -2, -1, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 0.7, 382\/53 in descending order.\nAnswer: 382\/53, 0.7, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7174\/3536 + (-180)\/96?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5535367 rounded to 2 dps?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, -163, -732, -1871, -3772, -6627, -10628, -15967?\nAnswer: -22836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 2:09 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73 - 73.0000074. Round i to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24576+128376.4\nAnswer: 152952.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 383251.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -r**8\/3920 - r**7\/490 + r**6\/168 + 103*r**3\/2 + 194*r**2. Let o(p) be the first derivative of a(p). Solve o(v) = 0 for v.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 122.\nAnswer: -1\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t + 65*t + 1192 = -1020 for t.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q**(-1)))\/q)\/(q*q**(2\/21)))**(-1\/2)*((q*q**(-6))\/(q**(-1\/5)\/q))\/(q**(-5)\/((q\/q**(-7))\/q)) assuming q is positive.\nAnswer: q**(1837\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-23)\/d)\/d)\/(d**27\/d))**(8\/7) assuming d is positive.\nAnswer: d**(-408\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 220804781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 7784*a + 4876. What are the prime factors of x(7)?\nAnswer: 2, 3, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5130 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -706, -3698, -8700, -15712?\nAnswer: -24734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)*-3 + sqrt(204))*-1 - sqrt(204)*-2*-2)\/(sqrt(84)\/(sqrt(7) - (sqrt(7) + sqrt(63) - sqrt(7))) + ((1*sqrt(72))\/sqrt(6) - sqrt(12))).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -7*r**2 - r. Let u(i) = -3056*i**2 - 4*i - 1. Give u(s) - 4*v(s).\nAnswer: -3028*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01841839 to 3 dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 6:49 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -864000 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 1601460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -12*f**2 - 3*f. Let k(h) = 70*h**2 + 300*h + 572. Let r(i) = k(i) + 6*v(i). Find x such that r(x) = 0.\nAnswer: -2, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/1503, 2\/11, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 1742.\nAnswer: 1742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 2*r**2 + r. Let a be b(-1). Suppose 0 = -i + 9 + a. What is the smallest common multiple of i and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -231 divided by -77?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 8:58 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11.3 or -79?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -47, -57, -65?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -18. What is the units digit of 18\/4 + s\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 224, 360, 676, 1262, 2208, 3604?\n\"Answer: 15*p**3 + 31*p + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3076047.\nAnswer: 3, 13, 61, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9921 - 2321. Round i to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 2:46 AM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*m = -21181 + 23845 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-146)\/3*6\/4. Let f = n + 40. Let t = -29 - f. Solve 2*o + g + g = 0, t*g - 12 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2551*u**3 + 20*u**2 + 38*u - 3. Let g(m) = -2551*m**3 + 16*m**2 + 39*m. Let n(t) = -5*g(t) + 4*q(t). Find the second derivative of n(k) wrt k.\nAnswer: 15306*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-136)\/4590*15*162\/(-228).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31219*i + 31202*i = -102 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**7\/84 - n**4\/3 - 7*n**3\/6 + 8*n**2. Let w(h) be the first derivative of a(h). What is the first derivative of w(r) wrt r?\nAnswer: 30*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11271?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aee when three letters picked without replacement from aeeteeeeeememebteeea?\nAnswer: 13\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -46*n**2. Let o(q) = -148*q + 74*q + 61*q. Determine w(o(j)).\nAnswer: -7774*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dppupppppppdpup?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-28)\/36 - (0 - -2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*n = -25*n + 224. Solve -n*o - 26 = -6 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*d + 2. What is the smallest common multiple of 22 and (-5 - d) + 2 + 5?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g + 4000 + g**3 - 4183 - 2*g - g**2 + g**3 as k*g**3 + r*g**2 + o + t*g and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i**(-14)\/i)*i*(i**16*i)\/i assuming i is positive.\nAnswer: i**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -319*x + 317*x - 14 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*c + 12, h - 1 - 23 = -5*c. Let f(n) = n**3 - 4*n**2 + 2. Let w be f(h). Let l(x) = -3*x**2 + 0*x**w + 2*x**2 + 4*x - 2 - 1. What is l(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**2*o*q - a**2*q**3 + 13*a**2*q**2 + 159*a**2 + 3*a*q**3 - 4*o*q**3 + 298262*o - 2*q**2 - 50*q wrt o.\nAnswer: 2*a**2*q - 4*q**3 + 298262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 259205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-11)\/((-44)\/24))\/1. Let v(f) = -f. Let z(n) = 10*n + 1. Let y(t) = a*v(t) + z(t). Let j be y(-1). Which is greater: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 0, -6, 4 in increasing order.\nAnswer: -6, 0, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 8:47 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) -1687 (c) 3 (d) -3 (e) -1 (f) 0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(77)\/(sqrt(11) + sqrt(22)\/sqrt(2)) - (sqrt(112)\/sqrt(4) + sqrt(28))) - (-3 + 5 + 2*sqrt(7)*5))**2.\nAnswer: 96*sqrt(7) + 4036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -2020011?\nAnswer: 2020011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6428)\/920 - 6\/(-69) and -56\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.2 * 0.4512821\nAnswer: -4.15179532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 1121*j**2 + 228*j - 42. Let v(n) = 561*n**2 + 114*n - 19. Let f(t) = 4*l(t) - 9*v(t). Find the second derivative of f(a) wrt a.\nAnswer: -1130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) - sqrt(720)*-1)*6 - (sqrt(720) + 1 + -2) - (sqrt(720) + -2*(-1 + sqrt(720)) - (sqrt(720) - (sqrt(720) - (-2 + sqrt(720))*5))))**2.\nAnswer: -4488*sqrt(5) + 208201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 55 = -d. Suppose w + 2*a = -3 + 1, 2*w = 3*a - 18. Let o = -4 - w. What is the lowest common multiple of d and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 88, 126, 166, 214, 276, 358, 466?\nAnswer: 606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**4 - c**2 + 7*c + 6*c - 15*c - 76*c**3 + 70*c**3 + 1 in the form p*c**3 + b*c**4 + a + f*c + k*c**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, a: 6}. What is prob of picking 3 a and 1 u?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 670942923 to the power of 1\/2, to the nearest integer?\nAnswer: 25903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 253\/4 + -63. Suppose 2*p = p - 1. Which is greater: p or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 26*u**2 + 10*u - 354. Let k(q) = -5*q**2 - 2*q - 1. Calculate -5*k(v) - x(v).\nAnswer: -v**2 + 359","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 10 - 76)*(-255 + 265 + 0*z + 2*z).\nAnswer: -112*z - 560","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 24436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4645050, 18580196, 41805438, 74320776, 116126210, 167221740, 227607366?\n\"Answer: 4645048*k**2 + 2*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2928 and 14729304.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -25*o**8\/28 + 103*o**4\/12 - o + 20. What is the third derivative of v(p) wrt p?\nAnswer: -6000*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 19. Suppose -t - 2*n = -n + 32, s*n + 52 = -2*t. List the prime factors of (-33)\/(-2)*t\/(-27).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 19.3. Let z = -3389 - -3391. Which is smaller: g or z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 7*c**2 - c - 30. What is v(0)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3*(((1*sqrt(400) - sqrt(400))\/sqrt(8)*5)**2 + 2) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 29874*j**3 - 6*j**2 + 19*j + 8. Is m(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 45, 49, 51, 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 3:11 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/2 or 1186669?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 25 = 17. Let y be i\/(66*4\/16)*3. Let w = 18 - 18. Which is smaller: w or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1752*m - 4 + 1752*m + m**2)*(-17 - m**2 + 17).\nAnswer: -m**4 + 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -7*u**5\/20 - u**3 + 61*u**2\/2 - 3*u + 19. What is the first derivative of l(w) wrt w?\nAnswer: -21*w**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.427039442 take away -0.5?\nAnswer: -0.927039442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*w - 94*w = 9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -4. Let o(q) = 5*q**2 + 4*q - 5. Let y be o(1). Let t = v + y. Solve -p + 5*h = -3, p + 0 - 3 = -t*h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13\/7? (a) -3586 (b) -6\/11 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 (base 10) in base 11?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/3 - 184*w + 558.\nAnswer: -2*(w - 3)*(w + 279)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -m**2\/2 - m + 1. Suppose -2 = 2*x - 6. Let w be x\/4 - 9\/(-2). Determine f(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**6\/720 + c**4\/12 - 31*c**3\/6 + 99*c**2. Let v(w) be the second derivative of l(w). Let f(a) = a - 31. Give f(v(r)).\nAnswer: -r - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 258*h**2 - 6435*h - 120. Determine d(28).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 6*h + 195 = 0. Let x(r) = -20*r - 10. Calculate the remainder when h is divided by x(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 3\/686319530?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/((2\/(-6))\/(-1)). Let i be ((-4)\/v)\/((-1)\/(-3)). What are the prime factors of (8\/(-10))\/(i\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1 - 2 = 0. Suppose 1 = -4*y - 3*c, -2*c + 5*c = -o*y - 3. Suppose 107*f - 315 = 430 - 210. Put y, -13, f in increasing order.\nAnswer: -13, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -13*t**2 - 7*t - 16. Let v = -112 - -119. Let w(r) = 9*r**2 + 5*r + 11. What is v*w(z) + 5*n(z)?\nAnswer: -2*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5*t**2 + 271*t - 535. Let w(d) = -2*d**2 - 91*d + 169. What is 6*o(b) + 19*w(b)?\nAnswer: -8*b**2 - 103*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72280263.\nAnswer: 3, 11, 2190311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 78.3 + -78.2. Sort 0.11, x, -2, 25 in decreasing order.\nAnswer: 25, 0.11, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 8, -2\/15, -89?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 89112661589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -2059470?\nAnswer: 10297350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-5\/12)*a**(1\/2)\/a*a*(a**(-1\/13))**(-1\/31) assuming a is positive.\nAnswer: a**(5251\/4836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 11, 130 in decreasing order.\nAnswer: 130, 11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 951215 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 65 = -12*d + 9*d, -2*b - 4*d = -138. What is the highest common divisor of b and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b**2. Let q(v) = -15526756*v**2 + v. Give q(g(h)).\nAnswer: -248428096*h**4 - 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33683 and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 8:47 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**3 - 2*u**2 + 4*u - 2. Let r(k) = -k**3 + 2*k**2 - 4*k + 2. Let m(a) = -3*o(a) - 4*r(a). What is m(2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108904400 rounded to the nearest 100000?\nAnswer: 108900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**0\/(f\/f**(-5\/3))*(f**(-3\/2)*f)\/f**5*(f**(-7)\/(f*f\/(((f\/f**(-4))\/f)\/f)))**11 assuming f is positive.\nAnswer: f**(-445\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-50) - (-17)\/(-45)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - u + u)*(4 + 1 - 6)*(-u**3 + u**3 + 3*u**3) + 1 - 1 + 2*u**4 + (u - 2*u + 0*u)*(u**3 - 2*u**3 - u**3) + 1 - 1 + u**4 - 4*u**4 + 3*u**4 - 2*u**4.\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 2*o + 203731. Let y(z) = 2*z - 62. Calculate y(p(s)).\nAnswer: 2*s**2 + 4*s + 407400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 52*u**2 + 90531*u + 998. Determine l(-328).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 d, and 1 z when three letters picked without replacement from {d: 1, t: 2, k: 2, q: 1, z: 3, s: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 5) to base 13\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -16*n - 17 + 8*n - 13*n - n**2. Is 7 a factor of o(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - (-29 - -12)) + -2 + 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 16, -5*s + 5*f + 21 + 44 = 0. What is the remainder when ((-5)\/(-2))\/((-1)\/(-6)) is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-77) + 8\/(-176)*-2. Put -5, 0.2, 1\/25, 3, m in decreasing order.\nAnswer: 3, 0.2, m, 1\/25, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18579\/(86\/4 - 20). Which is bigger: t or 12387?\nAnswer: 12387","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) 573 (c) -4\/7 (d) 220\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**2\/2 + 1297*s\/2 + 6435 = 0 for s.\nAnswer: -1287, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 123 + -69. Suppose -z*u + 12762 = -10998. List the prime factors of u.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 6:59 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 211000210 (base 3) in base 2?\nAnswer: 11111010111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7218 - -7215. Let t be (1 - 6\/3)*1. Let g be (1 - t)*10\/(-6). Is n bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 2*l**2 + 4*l - 3. Let y be h(-4). Let x(r) = -y*r + 8*r - 19*r**2 + 5*r. Let a(w) = -2*w**2. Determine a(x(d)).\nAnswer: -722*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 201 - 9*n + 13*n - 201.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 0*w + 581 = 0. Let m = w - -153. Is m a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rz when two letters picked without replacement from oorzooorgors?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -7. Suppose 244 = o*b - b. Suppose -v - 2*v = 3*p - 57, -3*v + b = 5*p. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 1:49 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83889850?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b**3*f**2*q + 16*b**3*f*g - 27*b**3*q - 2*b**2*f**2*g*q - 2*b**2*f**2*q - 3209*b*f**2*q + b - 2*q wrt b.\nAnswer: -18*f**2*q + 96*f*g - 162*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4375357*r + 199869 with respect to r.\nAnswer: -4375357","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*b - 81, 9*m - 2*b = 4*m + 129. Solve -12*n = 11 + m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412 a factor of 90228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 26*g + 38 = 25*g, 0 = z + 5*g + 14. Solve 14 = -c + z for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/7 - 5555*u**2\/7 - 44776*u - 628432.\nAnswer: (u - 5611)*(u + 28)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**3 - 606*i + 605*i - 5*i**2 + 4 - 8 - 7 as u*i + t + b*i**2 + k*i**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09465 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**4\/12 - l**3\/2 - 1128*l**2 + l. Let y(g) = 2*g**2 + 124. What is y(b(k))?\nAnswer: 8*k**2 + 24*k + 142","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10335876 by 2583969.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -603*83\nAnswer: -50049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 + y**2 + y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 32 (c) 3 (d) -5 (e) -21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6025 + 0*y**2 + 46*y - y**2 + 171*y + 3*y + 385 with respect to y.\nAnswer: -2*y + 220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 456 + -413.9. Let t = g + -42.100784. What is t rounded to 5 dps?\nAnswer: -0.00078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k. Suppose -2*b + 22 - 8 = 0. Let s = 777 + -775. Let d(t) = 8*t - 5*t - s*t + b*t. Determine a(d(q)).\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.07, -2\/15, -1\/6, -0.084, -37, -2\/41?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*r = -5883, 6*z - r + 8852 = 3*z. Let p = -2034 - z. List the prime factors of p.\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -908, 230, -3, 12, 0 in descending order.\nAnswer: 230, 12, 0, -3, -908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.2 + -57.8. Let r = i + 25. Let j = 43.99947 + r. Round j to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*w, -4*k + 276*w - 279*w - 14 = 0. Let o = 55 - 221\/4. Which is the closest to -0.2? (a) -2\/9 (b) o (c) k (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, h: 1, a: 1, m: 1, y: 1}. What is prob of sequence iy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 v when two letters picked without replacement from {l: 1, q: 1, e: 1, u: 1, a: 13, v: 1}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -782 - -5135. What are the prime factors of c?\nAnswer: 3, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3740 = -0*i. Suppose -5*j + 334 = 2*k, 3*j = 1748*k - 1750*k + 198. Calculate the greatest common divisor of j and i.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -b + 1. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3687*d - 4482*d**2 + 3687*d - 2*d**3)*(2*d + 2*d - 2*d).\nAnswer: -4*d**4 - 8964*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 519010*s**3 - 15349*s**2 - 4*s.\nAnswer: 3114060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3ac5 (base 14) to base 13\nAnswer: 4944","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 910\/390*8\/(-42)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1641984 by 6.\nAnswer: 273664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2134103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 + 1.9. Which is the closest to -2\/3? (a) i (b) 0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3296.4 + 3221.412. Let s = -0.012 + n. Let a = s + 75.1. What is the nearest to a in 11, 2\/9, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11517353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - a)*(1 + 10 - 1 - 5 + 4 + 2 + 2 - 2 - 2 + (-2 + 0 + 0)*(-2 - 1 + 2) - 2 + 3 - 3 - 37 + 77 - 39 + 1 - 3 + 3).\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(11) + sqrt(99) + 0 - 1*sqrt(176)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b. Let k(f) be the third derivative of -f**4\/12 + 14*f**2. Determine k(r(y)).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**3 - 8*t**2 - 8*t + 32 = 0. Calculate t.\nAnswer: -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -26*r - 11. Let a(c) = -109*c - 50. Let w(v) = 6*a(v) - 25*u(v). Give w(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 16 = 3*k - 5*n, 3*n + 12 = 2*k. Let g(t) = t**3 - t**2 - 1. Let p(v) = 3*v**3 - 7. Let z(r) = -4*g(r) + p(r). What is the units digit of z(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q + 2*q)*(3 - 5 + 0)*(-q - 54 + 54).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 62*o**2 + 23*o + 8. Let x be a(-9). Is x\/(-14)*(4 - 6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 11*b + 3*b + 46 = -49, -b = 2*b - 10 - 2 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -4*z**2 - 562552*z\/5 + 225024\/5 = 0.\nAnswer: -28128, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/14 and 51\/1052.\nAnswer: 7364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g - 118 = 332. Let h be ((-6)\/5)\/((-18)\/g). What are the prime factors of h\/(-2) - 5496\/(-48)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30*c + 26*c + 39*c)*(4 + 0 + 0)*(2*c - 3*c + 0*c) as n*c + k + a*c**2 and give a.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -855377315, -855377316, -855377317, -855377318?\n\"Answer: -n - 855377314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 0*i**4 + 0*i + 0*i**3 + 52\/5*i**5 + 2\/3*i**6 + 0*i**2 + 59. Factor r(h).\nAnswer: 4*h**4*(h + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*n - 0*n. Let z be (2\/n)\/(2\/36). Suppose r - 9 = -b, 2*b - 6*b + 32 = 3*r. Solve -g + r*g + z = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4561\/134 + -36\/67. Let n = 35 - y. Factor 15\/4*x - n - 3\/4*x**3 + 3\/4*x**4 - 9\/4*x**2.\nAnswer: 3*(x - 1)**3*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 44?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.2352505 rounded to two dps?\nAnswer: 4.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3 + g**3 - 2*g + 4 + 20*g**2 - 23*g**2 - 5. Let s be t(4). Put 14, 1, s in ascending order.\nAnswer: 1, s, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4565022281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35243, 70446, 105605, 140720, 175791?\nAnswer: 210818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-2 + 4 - 3) - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*h - 0*h + 16460, -h + 8216 = 3*o. Is h a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10389480.586 rounded to the nearest one thousand?\nAnswer: -10389000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18538 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 672?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16.5 - 1.5. Let c = k + 19.3. Let f = c - 1.29993. Round f to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1479001 times 55?\nAnswer: 81345055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000029792 to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 706.2209 times 1.3\nAnswer: 918.08717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -225.3 + 229.3. What is the nearest to 1\/2 in -0.3, 3, m, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 788129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 + 264*b - 6. Let r(a) = 1. Determine -g(l) - 4*r(l).\nAnswer: -2*l**2 - 264*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-70) - (-3 - (-74)\/15).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -1)*2*-9. Let b be ((-3)\/(g\/(-4)))\/(-2). Put 1\/2, -1\/2, b in increasing order.\nAnswer: -1\/2, b, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -42346, -43522, -44710, -45916, -47146?\n\"Answer: -f**3 - 1169*f - 41176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -986 (b) -2\/21 (c) -0.5 (d) 0.3 (e) 6324\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxmaxmmcaamaammau. What is prob of picking 2 a?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 2\/3 (c) 1099053 (d) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58029 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20800449*u**4*v + 364537*u*v + u + v + 3 wrt u?\nAnswer: 249605388*u**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/5 (b) -5 (c) 4.9576\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 - 3639 + 3639.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*d - 12*d = 128412. What are the prime factors of d?\nAnswer: 3, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/10 - (-5)\/25. What is the units digit of (-20)\/b - (-4 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sgbggbsg. Give prob of picking 2 g and 1 s.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 17 - (25 + -10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2455, -4798, -7121, -9418, -11683, -13910, -16093?\nAnswer: -18226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6137 + -6011. Calculate the remainder when 127 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 2:20 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -367.6 + -80.\nAnswer: -447.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4437 + 14575. Suppose 0 = -11*r + j - 755. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334 (base 8) in base 3?\nAnswer: 22011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7086 - 9519 = -9*y. Let a = y - 1237. What is the greatest common divisor of 38 and a?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/75)\/(10\/((-500)\/6))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 + 423*j**2 + 12312*j + 102060.\nAnswer: 3*(j + 18)**2*(j + 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2311350 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*o + 49*o - 20*o - 254*o**2 - 18*o + 253*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 11 = -y, -4*i + 8 = 5*y + 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4656174 divided by -6\nAnswer: -776029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v + 2. Let o be w(4). Let r = o + 6. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 2:03 AM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 17*x**6\/120 - 317*x**2. Let z(l) = -77*l**3. What is -22*q(m) - 5*z(m)?\nAnswer: 11*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16.1 - -16. Put 0.5, t, 5 in increasing order.\nAnswer: t, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2. Let b(l) = -24*l**2 - 5. Let u(d) = 72*d**2 + 16. Let x(k) = -16*b(k) - 5*u(k). Give x(v(y)).\nAnswer: 96*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 878*q + 6788 = -45014 for q.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160618143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*i = -d - 1, i - 2 = 0. Let p be 9\/(-6)*(4 + -2). Find the common denominator of (-51)\/42 + d\/p and 111\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35\/41 - 1727\/1927. Let r = 120 + -64. Let s = r - 53. What is the closest to -0.1 in s, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 103*q - 22*q + 7 - 23*q - 16*q - 24*q - 15*q. Let m(r) be the second derivative of r**3\/2 + r. Give g(m(x)).\nAnswer: 9*x + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 44*l - 49*l = -23, k - 4*l = -15 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 3*t**2 + 3*t + t - 3*t - 2*t**2. Let r be (-3 - 1 - 2) + 3. Let h(a) = a**3 + 6*a**2 - a. Let d(u) = r*h(u) + 6*c(u). Factor d(n).\nAnswer: 3*n*(n - 3)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3477*b**4 + 2739*b**2 wrt b.\nAnswer: -83448*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4835279 is divided by 56?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1093 + 1092. Is -21\/115 <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -91285, -91258, -91231, -91204, -91177?\n\"Answer: 27*o - 91312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 3*x = -23672. What is the common denominator of -9 + x\/(-168) + 0\/(-2) and ((-1)\/27)\/((-4)\/606)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 2*n - 24 = -4*x, 4*x + 2*n = 16. Suppose -2*q = 3*p - 6, 2*p = -x*q - 0*p + 6. Solve d = q - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -194760, 4, 2, -942 in increasing order.\nAnswer: -194760, -942, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 10:30 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66134.\nAnswer: 2, 43, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 4*q + 7. Let p be b(-5). Let t be (-3)\/(-2)*(p + 0). Let n = 8 - t. Solve -4*z + 5*i = -6 - 11, n*z - i - 16 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-12))\/(4\/8)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pjjn when four letters picked without replacement from nspnpppjpppjjspj?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 596*c**3 + 2*c**2 + c - 2. What is the tens digit of k(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f**2 + 444 - 142 - 3*f**2 - 159 - 143.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11119\/15 - 741. Find the common denominator of x and -107\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 2*s**3\/3 + 5*s**2\/2 + 2*s. Let f be c(-4). Let r = f + 21. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*x - 175 = -7, -q = 3*x - 62. Suppose 4*c = 2*f - 38, 3*c = -5*f + q + 55. Calculate the highest common divisor of 42 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.06 + 0.54. Let s be ((-154)\/42 - 4\/(-6))*(-2)\/12. Which is the nearest to 0.2? (a) s (b) m (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 4b6?\nAnswer: -4b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-7)\/(28\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 7:32 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -0.041?\nAnswer: 0.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3781390 (base 10) to base 12.\nAnswer: 132437a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 120274421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 902 and -48?\nAnswer: -43296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 2*p**2 - 16 + p**4 + 17*p**3 + 0*p**2 to the form c*p + t*p**4 + l*p**3 + a*p**2 + v and give l.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5 + 7 = 0. Which is bigger: a or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1895 = -109*y + 114*y. What is the remainder when y is divided by 35?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 3\/70*c**7 + 1\/4*c**4 + 0 + 0*c**6 - 9*c**2 + 0*c**5 + 0*c + 0*c**3. What is the second derivative of p(g) wrt g?\nAnswer: 108*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(-5*v + 4*v + 2*v) + 4 - 2 + 0*v - 2*v + (3*v - 2*v - 3*v)*(24 + 9 - 7).\nAnswer: -53*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11051 and 1028.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 540570 + -112757. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -869 - -872. Let k(u) = -3*u - 5. What is k(s)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/108 and -25\/1039482?\nAnswer: 6236892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*l - 67, 34 = 4*l + 3*w - 61. Suppose 4*k - 3*a = 52844, 4*k - 23*a - 52844 = -l*a. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 157235 - 2?\nAnswer: 157233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0146 + 54.4146. Let j = o + -62. What is j rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(21) - (sqrt(21) + 2*sqrt(21)))*3)\/sqrt(3))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11956 is divided by 1754?\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = 3*k - 72130*r + 72129*r, 0 = 4*k - 4*r - 216 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.4 + -14.3. Is y greater than -46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1268.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.88 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -2*q**7\/3 - 556*q**6\/15 - 2426*q**5\/5 + 6596*q**4\/3 - 3178*q**3 + 1764*q**2 + 2*q + 1252. Find b such that r(b) = 0.\nAnswer: -21, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/4 + 4\/2. Let y be ((-8)\/(-12))\/((928\/64)\/(-29)). Which is the nearest to 0.1? (a) 3 (b) q (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4352d (base 15) to base 12.\nAnswer: a3881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and ((-5)\/(-3))\/((-1)\/(-6)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9048)\/(-168) - 26 - 29\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.262 or -0.04?\nAnswer: -0.262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*i + 33. Let u(x) = x**2 - 9*x + 1. Let g be u(i). Let p = 14 + g. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.213 in -0.15, 8\/7, -14?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37826 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1473414 a multiple of 1961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111000 + -10001101000000?\nAnswer: -10010100111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375 = -p + w - 2313, -3876 = 2*p + 3*w. Let t = p - -21367\/11. What is the common denominator of t and -91\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -3\/2*r**4 - 19683\/2 + 4374*r + 54*r**3 - 729*r**2 = 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81*u**2 + 82*u**2 - 6 - 165*u**2)*(-5*u + 6*u - 4*u) + (0*u**2 + u**2 + 0*u**2)*(-u + 0*u + 0*u).\nAnswer: 5*u**3 + 18*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, w: 4, t: 5, n: 1, g: 2, e: 2}. What is prob of sequence sgge?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 434.1 + -39.1. Let k = 388 - r. Which is the nearest to 2\/5? (a) 4 (b) -0.3 (c) 0.3 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8*(8 + -2)*3\/(-6). Let q be 528\/g*(-34)\/(-4). Let h = 445 + q. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.5, 1.9634?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 12140.8 to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103 + -52. Suppose q = -5*g + n, g = -g + 3*q + 34. Calculate the greatest common divisor of g and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 265*f**2 - 131*f**2 - 132*f**2 + 2*f + 2*f - 6*f - 966 to d + j*f + q*f**2 and give d.\nAnswer: -966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2836 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-102)\/(-4)*(((-96)\/(-36) - 7) + -76 + 79).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*i + 1. Let t(f) = -f - 1. Let z(d) = -d + 6. Let x(l) = -6*t(l) - 2*z(l). List the prime factors of x(i).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 72.37328 - 48\nAnswer: 24.37328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-4) + (-1)\/(-4). Suppose 4*u = -9*p + 4*p + 23, 3*p - 5*u + 1 = 0. Suppose -3*d - 21 = -p*f, -d + 6*d + 25 = 0. Solve -f*l + l - 3 = t for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 157 - 780 = -3*b, 2*o + 1460 = 5*b. What is the highest common factor of b and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -2. Let z = 15 + -19. Which is the closest to k? (a) -0.3 (b) -2\/7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*z - 4*y - 4, -4*y - 14 = -2*z. Let u = -20 - -23. Let b be -1 - -6*6\/u. Calculate the highest common factor of z and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 138 + -412\/3. Determine p, given that 0*p**2 + 0*p + 0 + 2\/3*p**4 - u*p**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/(8 - (-319)\/(-44)). Suppose v - 24 = 72. Let b be (v\/(-10))\/(74\/m - 4). Calculate the greatest common divisor of 80 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3958017.\nAnswer: 3, 7, 41, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 21 + 22*b**2 + 20*b - 7*b**2 - 134 - 16*b**2. Give c(10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 10:26 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/2 - 0) + (-58 - (68 - 132))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 2:12 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 107*z**2 - 15*z - 15. List the prime factors of g(-13).\nAnswer: 7, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 31. Let x(g) = g + 95. Let o(z) = -z + 17. Let w be o(25). Let n be x(w). What is the highest common divisor of n and v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cttttc. Give prob of picking 3 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2038.\nAnswer: 2, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*i = -3*i - 13, 23 = 4*c - 5*i. Suppose c*y = -l + 112, -y = -l - 80 + 24. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 804.8755 millilitres to litres.\nAnswer: 0.8048755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*k + 3*k**2 + 17*k + 1 + 5*k - k**2 to x*k + l + i*k**2 and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*f**3*g + 41*f**3 - 119*f**2*g + 379*f*g - 478*g wrt f.\nAnswer: -78*f*g + 246*f - 238*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + h - 29 = 0, 11389*h - 11388*h = 4*s - 16 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 286\/411 + -4\/137. What is the closest to -9 in c, -2\/11, 0.9?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 2*g - 3*g**3 + 2*g**3 + 21*g**2 - 20*g**2 + 16*g**2 + 3*g**3 to the form d*g**3 + z*g + n + o*g**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.433 and -0.7?\nAnswer: 1.133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 836937\/79 + -10594. Which is bigger: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100292 is divided by 72?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2ac - 2669?\nAnswer: -239b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6*q + 4 - 9 - 12*q + 9. Let t be z(1). Which is the closest to -0.4? (a) -0.2 (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9170 and 15.\nAnswer: 27510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -903*k**4 + 201375*k**3 - 1338*k**2.\nAnswer: -3*k**2*(k - 223)*(301*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q = -4*o + o + 4, 4*q + 969 = 973 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1206000 to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10.74 + 5.74. What is the third biggest value in -5.4, 1\/3, -0.1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -78, 15, 5, 38.41, 0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 21*c**2 - 11. Let j(n) = 4*n**2 - 2. Let w(h) = 11*j(h) - 2*o(h). Let i be -8*((-5)\/(-2) - 3). Let r(g) = -2*g + i*g - g - 4*g. What is w(r(d))?\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -37, -60, -7, 4.\nAnswer: -60, -37, -7, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 5*t, 5*c + 4*t - 5*t = -30. Sort c, 4, 209, 0.\nAnswer: c, 0, 4, 209","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 6*z**2 - 3*z - 2. Let x(j) = -5*j**2 + 5*j + 2. Calculate -3*g(i) - 2*x(i).\nAnswer: -8*i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j. Let v(y) = 45 - 19 - 9*y - 24. Let z = 347 - 504. Let l = -151 - z. What is l*n(s) + v(s)?\nAnswer: -3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17185.\nAnswer: 5, 7, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 83, 1, 3, -0.2, -7, 9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -450*j - 15. What is the hundreds digit of n(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -0.3692928?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 13) in base 8?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68 + 34 - (-11 - -51).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 4*u**2 + 5*u + 3. Suppose 5*s - 60 = 2*g - 7*g, 4*s - 5*g - 66 = 0. Let x be (-9)\/2 - 7\/s. Determine k(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w - 5 + 5. Let l(c) = 4*c**3 - 4*c + 2. Let a be (-5 - 0) + (-11 + -19)\/(-5). Calculate a*l(f) + 4*m(f).\nAnswer: 4*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 121288737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(567)*-1*1 - (3 + 2*(-1 + sqrt(175))).\nAnswer: -55*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 11:01 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38506.36 + 37799. What is p rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -2, -36, 1 in descending order.\nAnswer: 3, 1, -2, -3, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-3 + 92\/32). Let d = 8 - j. Suppose 3*s + 5*u - 115 - 24 = 0, u + 1 = d. Does 24 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(304) - (sqrt(304) - (-1 + sqrt(304))))*4.\nAnswer: -48*sqrt(19) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 1645?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -1, 3, -7, 340, 5, 0.08?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 4*j = 5, -4*j = 18094*v - 18097*v + 29 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8936, 35758, 80464, 143048, 223504, 321826?\n\"Answer: -n**3 + 8948*n**2 - 15*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -167, -373, -675, -1079, -1591, -2217?\nAnswer: -2963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 600 = 4*g, 99 + 159 = 2*u + 2*g. What is the highest common divisor of u and 6014?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -11 + 11 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - -42. Suppose -4*x + 1 = 5, 0 = 3*d - 3*x + m. Let b(l) = -7*l - 26. Let j be b(d). Solve 5*i - 4*u + j = 0, -2*i - 8 = -i + 4*u for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14731 * -1.3\nAnswer: -19150.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1844251.4 times -0.7\nAnswer: 1290975.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 0.0223?\nAnswer: -0.00669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 0*m**3 - m**4 - 5*m**5 - m**3 - 4 - 2*m**3. Let u(n) = n**5 + 4*n**3 - 3*n**3 + 0 + 1. Let z(i) = s(i) + 4*u(i). Let z(x) = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-9) + 734\/18. Suppose q = -5*l + 101. Let o = -6 + l. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2 = 13. Let n = -4.93469 + -0.06531. Which is the closest to 3? (a) n (b) -11 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**2*s*w - 16150*k**2*s - k**2*w + 9*k**2 - 7511422*k*s*w - 16*k*w wrt k?\nAnswer: 2*s*w - 32300*s - 2*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 4*f. Let o(u) = -3*u**2 + 9*u + 1. Determine -3*o(r) + 7*x(r).\nAnswer: 2*r**2 + r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -2d8?\nAnswer: -2dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -6*z**2 - 3*z. Let f(b) = 15 - 7*b - 9 - 13*b**2 - 6. Let n(l) = -2*f(l) + 5*w(l). Find the second derivative of n(h) wrt h.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 28*u**2 + 27*u - 30. Let k be f(-29). Solve -s - 3*s = -4*q - k, 12 = -4*s - 4*q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qu when two letters picked without replacement from {u: 1, q: 1, p: 1, j: 1, i: 4}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131147820.\nAnswer: 2, 3, 5, 127, 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -89, -119, -171, -251?\nAnswer: -365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzzwrw. What is prob of sequence rz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 10*w**2 + 6*w - 13. Let l be b(-6). Suppose 12*x = 7*x - l. Let k = x + 27. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100344811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45501*p**4 + p**3 + 270*p**2 - 23*p?\nAnswer: 1092024*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-2))\/((-3)\/(-6)). Let i(a) = 3*a**2 - 8 - a**n - a + 0*a**3 - 4*a**2. Let v be (1 - 1)*(-182)\/1638. What is i(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.26 (b) -2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1862795 - -3923925. Suppose 0 = 2*w - 2*p - 617748, -2*w = -4*p + 8*p - 617724. Let l = w + y. What is l rounded to the nearest one hundred thousand?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 721*f - 722*f - 12 = 2*k, 25 = -5*k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 15 + 25. Suppose r + 12 = -2*z + 1, 5*z = -c. Let g be (r + 9)*2\/(-9). Sort g, 2, -1\/4, 12 in decreasing order.\nAnswer: 12, 2, -1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t = 36. Suppose 5*x - 12 - t = 0. Let v = 10 - x. Solve -6*g - 6 = -g - v*p, -g - 4 = 2*p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*y**3 - 81*y**3 - 78*y**3.\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of 3*w**4\/8 + 2*w**3\/3 - 372*w**2. Suppose b - 3*r + 16 = 0, 2*r - 4 = 2*b + 3*r. Let q(y) = -y - 1. Give b*q(a) - j(a).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89589 is divided by 269?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r + 6. Let v be i(8). Let n be (-1)\/(10\/8)*v. Find h, given that -n*h**5 + 5*h**3 + 5*h**2 - 100*h**4 + 3*h**3 - 42*h**5 + 11*h**2 = 0.\nAnswer: -2, -2\/5, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*a**3 + 5 + 2*a**4 - 48*a**2 - 31*a**3 - 3 - 29*a**3 in the form g*a**3 + n*a + b + i*a**4 + y*a**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + -2)\/((-11)\/286). Find the common denominator of -3\/11 and 28\/13 + -2 - (-1291)\/l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57870073 to the power of 1\/2, to the nearest integer?\nAnswer: 7607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.081 to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**4\/2 - 828*g**3 + 97645*g**2\/2 + 3312*g - 195282 = 0. What is g?\nAnswer: -1713, -2, 2, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8812155 and 7755.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**3 + 19417736*z**2 + 94262117841424*z = 0.\nAnswer: -9708868, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -252, -511, -768, -1023, -1276, -1527?\nAnswer: -1776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 165 - 20 = 0. Let c = 37 + x. Solve -2*p = 4*y - 12, -4*p - y + c*y = 11 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from puuupyyupu. What is prob of picking 1 u, 2 y, and 1 p?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4308 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 12*w - 8. Let f be g(-11). Suppose -f*v + 30 = -228. What is the remainder when v is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200 + 102020?\nAnswer: 102220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 58.\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/57 and -74\/171.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 35*l - 15*l - 65 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3008874 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1300295.07 * 3.\nAnswer: 3900885.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -61892, -61888, -61884, -61880?\n\"Answer: 4*r - 61896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*a - 18 - 22 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 25. Suppose 0*t = -t. Let k be z(t). Let r = k - 16. What is the remainder when 26 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.5 + -98.7\nAnswer: -108.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2660552 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32935796 to the nearest integer?\nAnswer: 5739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 15*y**2 - 2007*y - 543. What is g(134)?\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 643737.\nAnswer: 3, 89, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 3*t**2 + 2*t + 9. Let g be f(-3). Suppose -9 = -g*o + 3*s, -5*s = 4*o - 2*o + 15. Let a be 1 + -1 + (0 - -3). Solve -3*c + o*c + a = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p + 8. Let r be b(9). Find the common denominator of -9\/8 and 102\/r + 5\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -180319*h. Let a(q) = 203*q - 1. Determine r(a(c)).\nAnswer: -36604757*c + 180319","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 8) to base 5\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16\/9 - -2. Let b(a) = -a**2 + 19*a + 5. Let c be b(19). Let n = -2 + c. What is the third biggest value in -0.01, r, n?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 16 = 7*k, -3*k + 4092 = a. Is a a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z + 180 = -0*z. Let w = z + 90. Let t be 29 - (-1)\/(2 + -3). What is the greatest common factor of t and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234.58313 > 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1*(-20)\/(-30))\/((-28)\/18). Sort -4, d, -0.5, -2 in descending order.\nAnswer: d, -0.5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 7*r**4\/12 - 5*r**3\/6 - 5*r**2\/2 - 5*r. Is t(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50832?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 1657*o - 11537. What is u(7)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1*(-1 + sqrt(75)) + (sqrt(75) + 4 + sqrt(75) + 0 - sqrt(75)) + 4)**2.\nAnswer: 140*sqrt(3) + 349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -1 (c) 84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (10 + 6)) + (223 - 274) + (-1 - -8)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1242\/108 + 2\/(-4) + -3. Solve g*f - 6*f + 3*j = 4, f - j - 2 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(7\/2)\/y**(1\/8))\/(y*y*y**(-7)\/y)**43 assuming y is positive.\nAnswer: y**(2091\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 2227*c**3\/6 + 1243*c**2\/2 - 5*c + 49. Find the first derivative of j(t) wrt t.\nAnswer: 2227","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 4 + 3 + 5*l**3 - 2*l**3 - 4.\nAnswer: 3*l**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 185fee (base 16) to base 15\nAnswer: 21849c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 418 and 6726.\nAnswer: 73986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-44)\/(-7) - (1224\/(-34) - -42). Is -2.26 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 682*w - 235*w = -221*w - 822*w - 19370 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 830 and 332?\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 13) to base 8.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1 + sqrt(891) + 1*sqrt(891) + (1 + sqrt(891) + 3)*5)**2.\nAnswer: 2016*sqrt(11) + 43915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11636 is divided by 73.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -780 smaller than -3898\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r + 4. Let c(o) = -1. Let x(p) = -20*c(p) - 5*f(p). Let n(g) = -2*g. Give x(n(s)).\nAnswer: 40*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3422707b - b?\nAnswer: 34227070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.080587 to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13056 and 40?\nAnswer: 65280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 g, and 1 x when four letters picked without replacement from {x: 2, f: 1, g: 3, z: 1}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3465 - 984 = 8*b - g, -3 = 3*g. Calculate the highest common factor of 14 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/25)*b)**(-6) assuming b is positive.\nAnswer: b**(-144\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 8*o + 10. Let g be t(-9). Suppose 0*m + g = -m. Sort -3, m, -10 in decreasing order.\nAnswer: m, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 46326 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005661628 to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssspssspsss. Give prob of sequence sps.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -439 (b) 2 (c) 3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 l when two letters picked without replacement from wwwluiyywuyiwwyu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i. Let x(z) = 2*z**2 + z. Let k(y) = -l(y) - x(y). Let j(m) be the second derivative of 31*m**3\/6 - 36*m. Give j(k(g)).\nAnswer: -62*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 0*k + 3 = -3*k, 5*f + 2*k - 19 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 738558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -114 in -11, -1\/2, 6, -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9200 divided by 460.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -6. Let i = -1 + k. Let j be 0*((-9)\/i + -2). Solve 2*z - 3*z = 2*b + 11, j = 5*z - b + 11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oqqqqqoqqqqoqqq. Give prob of sequence ooqo.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + 0. Let f = -2.3 - 0.7. Let x = 1.606 + 2.394. Which is the second smallest value? (a) g (b) f (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -264110*o**5 + 313845*o**4 - 143080*o**3 + 30520*o**2 - 2880*o + 80.\nAnswer: -5*(7*o - 2)**4*(22*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 11*s**2 + s + 15. Let g be k(-11). Let x = g + -5. Let w be (x\/(-2))\/(12\/24). Calculate the highest common factor of w and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 13 - ((-5 - (3 + -3)) + 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*a + 156 = -30 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18545 - -47311. Does 111 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72654735 divided by 3?\nAnswer: -24218245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4273300300 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -379 + -6?\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 13 = 12. Let n = 1.2 + -0.2. Which is the nearest to n? (a) -1\/6 (b) -0.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than 25.3165521?\nAnswer: 25.8165521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 398 + -385. What is the remainder when 90 is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 4*q + 14 + (6 - 2 + 3)*(-q + 3*q - 3*q))*(-3*q + 3*q - q).\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, b: 2, n: 1}. Give prob of picking 3 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12180\/17 not equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*r = 43*r + 18. Find c, given that 0 + 0*c + 1\/4*c**r - 1\/4*c**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l + 82*w - 92*w - 144, 4*l + 312 = 4*w for l.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 6:28 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 458 - 239. Suppose 3*c - t = -4*j, 2*j - 3*j - 388 = -5*c. Solve c = -7*s + 42 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/2)\/5*-2. Let h be (-45)\/(-10) + o\/(-2). Suppose 15 = -0*d - 5*d. Sort h, -1, d in descending order.\nAnswer: h, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 19*d**2 + 43. Let j be u(-19). Let t be (-269)\/(-3) + (-1)\/(-3). Let q = t - j. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429047 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: -492 divided by 123\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v**3 - 240*v**2 - 462*v + 174. Give w(-78).\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**3 + l**3 - 3*l**3 + (-1 + 4 - 2)*(3*l**3 - 2*l**3 - 2*l**3) + l - 2*l**3 - l - 3*l**3 - 3*l**3 + 5*l**3 - 42*l**3 - 53*l**3 + 108*l**3.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.07 + 0.0671. What is g rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, l: 4, u: 5}. What is prob of picking 3 u?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.1 - -0.9. Let s = z + -5.899. Let n = -6.201 + s. What is n rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 7) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 544 and 66528.\nAnswer: 1130976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -26*r + 36*r - 11*r. What is the closest to 0 in r, 0.03, 4, -3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0) + -3 + 2 - (60 - 83)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/(2 - 1))\/(8 + -6). Suppose s = 30*n - 533 - 187. Solve 0 = 2*j - 4*k - 0*k - n, 16 = -j - 5*k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 - 5*l**2 + l - 2. Let d(o) = o**3 + o**2 - o + 1. Let v(m) = 3*d(m) + z(m). Let y be v(2). Let c(f) = f**3 + 2*f**2 - 4*f - 1. Give c(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/408, -3\/4, 4?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04365343 to five dps.\nAnswer: 0.04365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 5\/54, 2\/9, -3\/2, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 368 divide 11161808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**3 - 14*d**3 - 5 + 6*d**3 + 5.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 - 35. Solve o - 4*p = 3, -k = -5*o - 5*p + 11 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(567)\/(sqrt(18)\/sqrt(2)))\/(sqrt(18)\/sqrt(18)).\nAnswer: -1 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700) + ((sqrt(700) + 2)*-6)**2 - (sqrt(175)*2 - (sqrt(7) - (0 + sqrt(21)\/sqrt(3))**2)).\nAnswer: 1441*sqrt(7) + 25337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*t - 43*t = -12*t - 225302. What are the prime factors of t?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 166 - 367. Let a be ((-10)\/(-15))\/((-2)\/r). Find the second derivative of 13*n + 67*n**4 - a*n**4 - 6*n**5 wrt n.\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -16115 and -16119 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002048 rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 10:50 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 998 - 495. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3367 + -3334. Suppose -w + f = -4, -w + f + 24 = 4*f. Calculate the remainder when z is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5 and 99\/19 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*k - 72399 - 215651, 18 = -3*x. List the prime factors of k.\nAnswer: 11, 6547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 + 9*x**2 - 44*x**2 - 23*x + 3*x**2 - 1 + 9*x**2 to the form y + h*x + q*x**2 and give h.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 305412 (base 6) to base 4\nAnswer: 11333300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*b**3*h + 120426*b**3 - b**2*h + 85691*b**2 - 6*h wrt b?\nAnswer: 30*h + 722556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -215164\/829 smaller than -259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 3*b - 1. Let q(z) = -217*z**2 - 16*z - 5. What is -5*i(a) + q(a)?\nAnswer: -212*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 3 = 3*l, 5*l = 12*h - 8*h + 22 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4578471, -9156937, -13735405, -18313875, -22892347, -27470821, -32049297?\nAnswer: -36627775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 29 = 4*z, -3*z + 3*p + 25 = 7. Let n(d) = -3*d + 1. Give n(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 30 = -2. Suppose -3*b = -0*z - 5*z - 48, 5*b - 80 = -2*z. Calculate the least common multiple of b and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 1. Let p(v) = 4*v**3 - 6*v**2 + 7*v - 6. Let n(x) = -6*a(x) + p(x). Let u(j) = 4*j**3 + 6*j. Determine 6*n(r) - 7*u(r).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.018, 67.3, 2.2?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5. Let y be (0\/(3\/(-1)) - 4) + 7. Let n(t) = y + 11*t**2 + 4*t - t - 9*t**2. Let u be n(-2). Let c(r) = -r - 1. Give u*c(o) + j(o).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.8 - -8.8. Put 0.3, 4, 7\/2, p in ascending order.\nAnswer: 0.3, p, 7\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or -223650?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from caxzs. What is prob of sequence xc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -20. Let p = u - 21. Which is smaller: 1\/4 or p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7*x = 56. Suppose -x*z - 68 = -12*z. Which is bigger: -33 or z?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**4\/11 - 26*b**3\/11 = 0. What is b?\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3628721204 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 391 = 8*r + 9*r. What is the remainder when 88 is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, 280, -3, -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16991504.2125997 + -3.\nAnswer: 16991501.2125997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 40 and -19364 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7*n**3 - 8*n**2 - 6*n + 4. Let f be l(4). Suppose 7*u + f = 3*s + 4*u, -2*u = 4*s - 376. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/(g**(4\/9)\/g))*g**(-9) assuming g is positive.\nAnswer: g**(-86\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 5, 10, 3, 14077?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -u - 10. Suppose -4*o - 1579 = -7*o - 2*s, -u*o = -2*s - 1066. What are the prime factors of ((-68)\/18 - -4) + o\/9?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 * 0.3.\nAnswer: -5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 4:49 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -1970 = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/1 + (153\/(-33))\/(-3).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04 + -0.54.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z - 11. Let t(g) = -5*g**3 + g**2 - g. Let s be t(1). Let c be y(s). Solve 8 = -c*k - 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 23*l + 12 = 24*l, 10 = 5*r + 5*l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-260))\/(61633\/(-47410))?\nAnswer: 2\/169","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 2*n**2 + 3*n - 2. Calculate f(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)*1*-4)\/(sqrt(11) - (sqrt(22) + sqrt(198))\/sqrt(2)).\nAnswer: 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5294843764402+0.129\nAnswer: 5294843764402.129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2. Let d(l) = -l**2 - 7*l - 2. Let o be d(-5). Let m(n) = -o*n + 16*n + 11*n. Calculate x(m(s)).\nAnswer: -361*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 298*v**3 + 307*v**3 - 609*v**3 + v**2 - 21*v**4 + (4*v**2 - 7*v**2 + 2*v**2)*(-3*v**2 - 2*v**2 + 3*v**2) + 2*v**4 + 8*v**4 - 3*v**4.\nAnswer: -12*v**4 - 4*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1325609 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5302 and -62242.\nAnswer: -67544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 + n**3 + 2*n**3)*(614 + 319 + 441)*(0 + 0 - 1).\nAnswer: -1374*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -122 + 205. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (60\/80)\/(6\/4). What is the nearest to -0.1 in -5, q, 13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.03, 2\/3, -1\/4, -12\/295, -0.5, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 119070971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2050 or 1\/3?\nAnswer: -2050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 543*d**2*o**3 - 3*d*o**3 + d*o - 12691*o**3 wrt d.\nAnswer: 1086*d*o**3 - 3*o**3 + o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 358925*n - 5*n**2 - 358925*n.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -3*p + 13, -6*y + 189*p - 184*p = -6*y + 25 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -j**6\/180 - j**5\/120 + j**4\/24 + 5*j**3\/36 + j**2\/6 - 3*j + 3. Let a(q) be the first derivative of y(q). Solve a(l) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*o - 50*o = -335. Sort o, 5, -1.\nAnswer: o, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -25*z**2 + 3*z - 3. Let l(j) = 50*j**2 - 12*j + 7. Determine 3*l(w) + 7*v(w).\nAnswer: -25*w**2 - 15*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/2*((-1168)\/(-16) + -1*3). Which is greater: b or -52?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/((-70)\/(-68) + -1). Let s be (-1)\/(-4) - z\/(-16). Put 3, 5, s in decreasing order.\nAnswer: 5, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 1 + 0 + -55 + (95 - 26).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s - 5*y + 24, -4*y = 3*s - 2*s - 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -43 + 0?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*z - 32*z + 69*z in the form i + r*z and give r.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -6*w**2 - 6. Suppose -48 = 2*g + 3*d - 8*d, 2*d - 22 = g. Let t = -6 - -10. Let y(k) = -5 + k**2 + t + 2. Give g*y(r) - 2*q(r).\nAnswer: -2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*w + 47. Suppose -2*n - 15 + w = 0. Suppose n = -3*v + 22. Calculate the smallest common multiple of 18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 741 is divided by 245?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -34, -29, -20, -7?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**5\/60 + 13*w**3 + 20*w**2 + 1. Let h(a) be the first derivative of b(a). Let y(v) = -238*v**2. What is y(h(m))?\nAnswer: -952*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 0 + (-8 - -10) + -15.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3068220999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + 72\/(-40))*2\/(-320). Let u = -401\/800 - r. Which is the second biggest value? (a) 9 (b) -2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2\/3, -394, 5.\nAnswer: -394, -2\/3, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7176135 rounded to 3 dps?\nAnswer: -0.718","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -0*l + 113 - 137 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-200)\/80)\/((-1)\/(-96)). Let y = w + 246. Solve -y*o = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1692686808 plus 1.88009?\nAnswer: 1692686809.88009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 0.1, 90, -786\/239?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 11, -4, -3, -8 in ascending order.\nAnswer: -8, -4, -3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.14237*0.0511\nAnswer: -0.007275107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*l**2 - 35*l**2 - 18*l**2 - 7*l**2.\nAnswer: -44*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -289655, -289931, -290207?\nAnswer: -290483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 412*u = 420*u - 34296. List the prime factors of u.\nAnswer: 3, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10, 49, 128, 253, 430, 665?\n\"Answer: j**3 + 14*j**2 - 10*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.4 + 9.4. Which is the nearest to -2\/9? (a) 0.2 (b) g (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 72745, 72724, 72687, 72628, 72541, 72420?\n\"Answer: -j**3 - 2*j**2 - 8*j + 72756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-11 - -19 - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 76 = -5*t, 0 = -4*t + 5*t + 2*v - 8. Suppose 2*y - t = 30. Let x = -7 + 49. Calculate the lowest common multiple of x and y.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1258, 2464, 3670, 4876, 6082, 7288?\n\"Answer: 1206*h + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*u - 4*a + 62, -3*a = -6. Which is smaller: -28 or u?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/7)*z\/(z**(2\/5)*z))**(-2\/31) assuming z is positive.\nAnswer: z**(-2\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23*112.\nAnswer: -2576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*z + 3*v, -4*v + 0*v = -4*z + 4. Suppose 2*h - j + 5*j + 6 = 0, 0 = z*h - 3*j - 27. Factor -2\/5*c**h - 6\/5*c**3 + 0 + 0*c + 2\/5*c**2 + 6\/5*c**4.\nAnswer: -2*c**2*(c - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/4, -124, 4, -3\/7, 6151?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) + ((sqrt(75)*-2 + sqrt(75))*4)**2.\nAnswer: 5*sqrt(3) + 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75 + (100 + -5 - 66).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, a: 2, j: 2}. Give prob of sequence ajas.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -513 = -520*f - 505*f + 1044*f for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-30\/7)\/(y\/y**(-28)*y) assuming y is positive.\nAnswer: y**(-240\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fiiiaahi. Give prob of sequence hf.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 5:05 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.380973 months in decades?\nAnswer: 0.003174775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d = -4*j - 16, 0 = -65*j + 60*j - 5*d - 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - -18) + (-8)\/(-2) + -4. Suppose -23*c = -u*c - 140000. Round c to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1123918, -0.2, -2\/7 in decreasing order.\nAnswer: -0.2, -2\/7, -1123918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -565574646, -1131149291, -1696723936, -2262298581, -2827873226, -3393447871?\nAnswer: -3959022516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**4\/4 - 7*d**3\/3 + 56*d**2 - 4819*d - 1105. What is the first derivative of g(m) wrt m?\nAnswer: 3*m**2 - 14*m + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -3, 1, 3, 8, 22, 5 in increasing order.\nAnswer: -12, -3, 1, 3, 5, 8, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 12172 divided by -4\nAnswer: -3043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 1305.\nAnswer: 20880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6224, 5922, 5624, 5330, 5040, 4754, 4472?\nAnswer: 4194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 633*w**4 + 205*w**3\/6 - w**2\/2 + 1217*w. Find the second derivative of m(h) wrt h.\nAnswer: 15192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 33*b + 68. What is f(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-22919\nAnswer: -22919.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 75\/(-2)*(-2)\/3. Let m be ((-6)\/5)\/(1\/k). List the prime factors of (m\/4)\/((-1)\/2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c1f122 (base 16) in base 9?\nAnswer: -25822070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 32\/(-18) + 1 + 1. Determine c so that 4\/9*c**3 - 8\/9*c - 2\/3*c**2 + 8\/9 + i*c**4 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*h - 2*h**3 - 34*h - h**2 + 1 + h**2 + 14*h**4 - h**2 to p*h**2 + r*h**4 + u*h + i + a*h**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/4*(-32)\/24. Suppose 0 = -q*g + r + 108, -4*g - r - 1 + 152 = 0. Suppose 4*c + 3*t = -c + 139, c = 4*t + g. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 98*o + 285. Let w be v(-3). Let r(a) = -a**3 - 4*a**2 + 51*a + 58. Let p be r(w). Let 8\/3*j**2 - 4\/3*j - 1\/3*j**3 - j**p + 0 = 0. What is j?\nAnswer: -2, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jsossststssssstssjs. What is prob of sequence sj?\nAnswer: 13\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24668183.\nAnswer: 29, 41, 20747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*z + z = -14, z = 4*q - 20. Let n(k) = k**3 + 7*k**2 - k - 40. Let o be n(-6). Does 12 divide -4 + o - 166\/q*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**3 - 6*l**3 + 3*l**3 + (l**3 - 3*l**3 - l**3)*(-2 + 2 + 2)*(-2 - 1 + 1).\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) 0 (c) -6 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26718964 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 203 and 1218?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 50.6724 minutes?\nAnswer: 0.84454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*b + 6 = -43, 4*b = -3*v + 23. Let m = -24908 + 172596\/7. Let q = m - -250. Calculate the common denominator of q and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, q: 5, d: 1, h: 2, r: 3, c: 5}. Give prob of sequence qdc.\nAnswer: 5\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105936984.\nAnswer: 2, 3, 163483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4*r + 15. Give q(8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 2:21 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 557479183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 2*w**3\/3 + w + 11. Let g(m) = -334*m + 156*m + 149*m. Determine g(v(i)).\nAnswer: -116*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 118356 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w - 10. Let r be o(-7). Suppose 0 = -y - 3*s, -8*y + 3*y - 3*s + 12 = 0. Let m = -12 - -21. Solve 0 = r*j + y + m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2742, -2668, -2594?\n\"Answer: 74*b - 2816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.19 - -0.09. Let y(t) = t + 10. Let w be y(-8). Suppose -3*h - h = 3*q + 5, 0 = w*q - 2. What is the smallest value in h, k, 0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 1476\nAnswer: -1475.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 59 and 1496?\nAnswer: 88264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222246200?\nAnswer: 2, 5, 11, 101021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5580383586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 45*v**2 - 185*v + 856. Determine i(41).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -88 + 90. Suppose -s = 4*k + z*s - 25, -4*k + 31 = 5*s. Solve -2 = k*v + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 - 52. Let g be 2\/9 - 50\/b. Suppose -4*q - 60 = -6*c + g*c, 5*c - 95 = 5*q. Solve -4*l - 16 = -2*i, 5*i - l - l - c = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2834 and 806.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 + 2*i**3 + i**3)*(-145 - 185 - 109) + i**3 - 3*i**3 - 8*i**3.\nAnswer: -888*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, 1\/4, 3\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2823129?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 - 11*w + 5. Calculate the remainder when u(7) is divided by (21\/6)\/(2\/8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 3*h + 6, i - 7 = -3*h + 5. What is g in -g**h + g**3 - g**3 + 6*g + 4*g**3 + 9*g**2 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9954.9 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y + 7. Let i be m(7). Solve i = 4*l + 12, 4*l + 5 = n + l for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 4 + 5)*(-2*l + 8*l + 5*l) as g*l + i and give g.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 - 3 = 4*h, -5*c = 3*h + 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*((sqrt(192) + -1 - sqrt(192))*-2 + 0 + sqrt(192) + 1))**2 + (-1*sqrt(192) + 3 - 1*2*sqrt(192)))*-6.\nAnswer: -30168 - 7056*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*a + 20*a - 6 - 27 = -2*s + 39, -107 = s + 4*a for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -l - b, 61*b - 1963 = -2*l + 6*l - 72 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 283819*a.\nAnswer: -283819*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -2) + (-20 - -39)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t - 1. Let x(g) = -4*g**2 - 2*g - 6. Let i(l) = -x(l) + 6*y(l). Is i(-15) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of 0 + 0*l + 14*l**2 - 1\/6*l**4 + 7\/6*l**3. Let r = 10 + -5. Let h(t) = -2*t + 4. What is r*h(k) - 3*o(k)?\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 4*o**2 - 6*o - 3. Let t be z(-5). Suppose -5*x + 115 = 5*b + 30, t*x + 4*b - 44 = 0. Solve -2*k + x = 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -298.151 + 298. Let i = 0.049 - r. Suppose l - 4*l = -6. What is the fourth biggest value in l, 0, -1\/2, i?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.349 + 0.049. Which is the third biggest value? (a) -7 (b) t (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g. Let k(s) = -s. Let f(i) = 21*i. Let d(x) = f(x) + 6*k(x). Calculate d(w(a)).\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 6159632?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -15*f**2 + 8*f - 29. Let o(a) = 4*a**2 - 2*a + 7. Let q(u) = 2*b(u) + 9*o(u). Let y(j) = -5*j**2 + 2*j - 4. Give 4*q(w) + 5*y(w).\nAnswer: -w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -5180000 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 k when three letters picked without replacement from {j: 6, k: 2, f: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -5*y. Let w(l) = 8*l + 11*l - 20*l. Give 2*r(p) - 4*w(p).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 6*u**2 - 14*u - 17. Suppose 117 = -39*r + 26*r. Let q be p(r). Which is greater: -135 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1.7, -0.1, 11, 1\/4 in descending order.\nAnswer: 11, 5, 1.7, 1\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**4 + 175960*k**3 + 1935388*k**2 + 6157880*k + 4398450 = 0.\nAnswer: -87969, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15036871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -317 and -448753?\nAnswer: 448436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -75*m**3 - 6*m**2 - m + 1. Let w(a) = 169*a**3 + 12*a**2 + 2*a - 1. Let j(z) = -9*n(z) - 4*w(z). Suppose 0*i + 3*o + 3 = -i, 4*o = i - 18. Give j(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-12)*(-4)\/6. Let i = 74 + -149\/2. Which is smaller: s or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61739163 to the power of 1\/2, to the nearest integer?\nAnswer: 7857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 564 and 3760.\nAnswer: 11280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1606449.\nAnswer: 3, 13, 17, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2851905584 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.3 + -0.3. Let t = -181 + 181.1. Which is the nearest to t? (a) 0.2 (b) 0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 1 = -5*s, 2*s = -3*j + s + 7. Solve 3*a + 2*v - 1 = j, v + 6 = a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/27825 and 19\/375.\nAnswer: 139125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92484 and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 996 + -947. Calculate the remainder when 77 is divided by m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2340318 from 0.0278.\nAnswer: -2340317.9722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpz. What is prob of picking 1 p and 1 z?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b15749 - -10?\nAnswer: 2b15759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -21*r + 149. Let f be z(8). Let u = f + 47. What is the smallest common multiple of u and 40?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, y: 6, c: 8}. Give prob of sequence clcc.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 78.7 + -557.6. Let s = d + 573. Let c = 94.0999597 - s. What is c rounded to six decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*b + 11, -5*j = -2*j + 2*b - 9. Suppose j = -10*g + 1. Suppose a - 12 = -2*l - g, l = 4*a + 24. Solve 20 = 3*p - l*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 10*z**2 - 8575*z + 34289. Calculate a(4).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2007742 is divided by 20280.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 767416.82 + 0.2?\nAnswer: 767417.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13150 + 1343?\nAnswer: 14503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 0*o**2 - o**2 + 6*o**2. Let r(c) be the first derivative of c**3\/3 - 1. What is r(s(p))?\nAnswer: 36*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -41*t**5\/5 + t**2 - 46. Find the second derivative of m(a) wrt a.\nAnswer: -492*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + -32476?\nAnswer: -32475.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/3 + ((-32)\/20)\/(60\/50). Solve 5*s - 19*k + 22*k = 13, 0 = x*s + 2*k - 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337146.2 centuries in millennia?\nAnswer: 33714.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5520284 and 44?\nAnswer: 5520284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - -2) + (-1)\/1. Suppose 0*n = 2*o + n - 7, -5 = -5*n. Solve 2*z + 6 = o*u, y*u = 5*z - 1 + 16 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n + 64. Let s = 133 + -108. Calculate the least common multiple of 14 and w(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 716753 is divided by 43.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(2\/9))\/r)**(-2\/7)\/(r*r\/(r**(-4)*r)*r\/r**(2\/11)) assuming r is positive.\nAnswer: r**(-3988\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120073265.\nAnswer: 5, 13, 1847281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + 616 - (-60)\/4. Calculate the greatest common factor of u and 157.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ish when three letters picked without replacement from {w: 1, i: 1, l: 3, h: 3, t: 6, s: 1}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9909574 or -69367010\/7?\nAnswer: -9909574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 11 + 17 = 0. Let h(j) = -j**2 + 9*j - 16. Let z be h(o). Let q be -8*6\/(-3) + -3. Sort q, z, -4.\nAnswer: -4, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -7*n**5\/12 + 5*n**4\/24 + 25*n**3\/6 - 8*n**2 + 1. Find the second derivative of z(a) wrt a.\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - h + 16. Let t = 70 - 70. Does 2 divide m(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(110))\/sqrt(2))\/(-3*sqrt(176)).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 707628?\nAnswer: 2, 3, 109, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 57, 43, 29, 15, 1?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -7. Let t = -10 - -10.3. Let x = t - o. Which is the third smallest value? (a) 3 (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17733258 to the power of 1\/3, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -0*w - 4. Let c(j) = -6 + 5 + 5*j**2 - 4*j**w + 7*j. Is c(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -63a + 5?\nAnswer: -635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 12*i**3 - 27*i - 15. Let n(s) = -4*s - 29. Let v be n(-17). Let x = v + -24. Let o(q) = -3*q**3 + 7*q + 4. Let j(p) = x*o(p) + 4*f(p). Factor j(h).\nAnswer: 3*h*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 606 + -638.62. Let l = 18.62 - 19. Let w = j + l. Is w greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 - 29. Let z be (3 - -1) + 1*-2. Suppose -20 = -2*d + 2*v + 2*v, z*d = -2*v + 26. What is the lowest common multiple of d and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**3 - s**3 + 5*s**3 + (4*s**2 + 0*s + 0*s)*(-2*s + 0*s - s) - 7*s**2 + 72*s - 169*s + 97*s + 30*s**3.\nAnswer: 20*s**3 - 7*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(3) - (-1 + sqrt(147))) + ((sqrt(96) - sqrt(24))*-2)\/sqrt(8) + 3)**2.\nAnswer: -64*sqrt(3) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 591021 to the power of 1\/2, to the nearest integer?\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -14. Let b be q\/4 - (-29)\/2. Suppose -p + 3*s + 16 = 0, -2*p + 7*p = s + 24. Solve -t - t + 4*v = b, -2*v + 16 = -p*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of l**4\/4 + 19*l**3\/3 - 7*l**2\/2 + 37*l + 2. Let z be 8748\/(-162)*(-2)\/(-6). Is b(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7 - 1) + (-38 - -46). What is the derivative of 55 - 143*x**4 + q*x**2 + 2*x**2 - 2*x**2 - 86 wrt x?\nAnswer: -572*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1176) + (4*sqrt(1176) - sqrt(1176)) - sqrt(1176)))\/(sqrt(108) - 2*(sqrt(108) + (sqrt(108)*-3 - sqrt(108)))).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 98*m**2 + 339*m - 7169. Determine n(101).\nAnswer: -3533","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -23, -66, -133, -218, -315, -418, -521?\n\"Answer: s**3 - 18*s**2 + 4*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 47*r**2 + 4*r + 4. Let a(q) = -5547*q**2 - 473*q - 473. Determine -4*a(c) - 473*d(c).\nAnswer: -43*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 3 (c) -2\/11 (d) -436.7 (e) 50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*(t\/(t\/(t\/(t*t\/(t**(2\/117)\/t)))))\/t*t*t)*t**(1\/29)\/t assuming t is positive.\nAnswer: t**(59\/3393)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 69 = -16*v + 9, -2*x - 9*v + 14*v + 24 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*z + 28, -z = 2*b - 171 + 175. Solve -35*n - b*u = -31*n - 14, -n = -u + 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 u when two letters picked without replacement from tuutshshussttsssss?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22\/13 - -206\/91. Which is the second biggest value? (a) q (b) 1\/25 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 - 6514927?\nAnswer: -6514927.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -1\/5 (c) -16 (d) -1\/4 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7645 is divided by 178.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 22*((-6)\/(-4) + -1). Calculate the highest common factor of 55 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*h - 2002 = -2*p - 129*h, h + 3994 = 4*p. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 27bee?\nAnswer: 27bee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -364.0000128 - -364. Round t to six decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t - 125*t**2 + 0*t + 78*t**2 to the form b*t**2 + w*t + g and give b.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2150621?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1425*t + 2837*t = 1434*t + 264 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 j when four letters picked without replacement from djjdaaaadjadd.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + g + 11 + 17, 5*g + 20 = 0. Suppose -n*u + 1525 = -857. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-5) + (-6)\/15. Suppose 0 = -z*f - 0*f + 12. Let a be f - (-1)\/((-1)\/2). Solve 0 = -2*x + 2*i - i - 4, i - 12 = a*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -4. Let u = -16 + 23. Which is the smallest value? (a) u (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -147658, -590639, -1328918, -2362495?\nAnswer: -3691370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a kilometer in meters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38988829 = 621*h - 13431023. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -3*u + 2, -14*u = -19*u + c + 18 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**5\/10 - 5*u**4\/12 + 5*u**3\/6 - 15*u**2\/2 - 2*u. Is t(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 40748.7 and -0.04?\nAnswer: 40748.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 41*o**2 + 27. Let q(x) = 82*x**2 + 54. Let a(g) = -9*i(g) + 4*q(g). Differentiate a(j) with respect to j.\nAnswer: -82*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = b - 10. Let z(t) = t**2 - 4*t. Let y be z(4). Let c = b - y. Is c a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hflkz. What is prob of sequence kh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 14*h - 9. Determine x(3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -555 (base 10) to base 4.\nAnswer: -20223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 84*w**5 - 2450657464*w**4 - 10736214816*w**3 - 13070175040*w**2 - 1867167936*w + 1867167872 = 0.\nAnswer: -2, -2\/3, 2\/7, 29174498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -469*a + 2. Let i(h) = -555*h + 3. Let x(l) = -5*i(l) + 6*v(l). Determine x(-3).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d - 9. Let i(c) = 2. Let z(n) = 5*i(n) + r(n). Let h(j) = 4*j - 3. Let l(q) = 2*h(q) + 5*z(q). Let p(x) = 3*x + 2. Calculate 5*l(t) + 3*p(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 109331830027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**3 - 4*r**2 - 4*r - 7. Let n(i) = 5*i**3 + 11*i**2 + 11*i + 20. Let d = -92 - -88. Determine d*n(m) - 11*f(m).\nAnswer: 2*m**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/2))**(-4\/25)\/(n**(-2))**(-9\/2) assuming n is positive.\nAnswer: n**(-223\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5+810903.04866\nAnswer: 810908.04866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*h = -l - 104*h + 9, -l = -4*h + 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 161 - 98. Let b = -109 + g. Let h = b + 50. Let c(v) = v**2 - 4*v + 5. What is c(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*s - 75*s**2 + 79*s**2 = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5544600.\nAnswer: 2, 3, 5, 9241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 15 + (-303)\/(-297)?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11808\/(-22755) + 1*1\/2 and -79\/444?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -496*m - 1169*m**3 + 496*m.\nAnswer: -1169*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -12*m**2 + 58*m**2 - 2*m**2 + 1. What is the tens digit of x(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/13 (b) -0.4 (c) -2 (d) 0 (e) 20 (f) -142106\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11 + -1)*(-4)\/12. Solve -10 = -6*k + m*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-30)\/(-60))\/(0 - (-1)\/876). Suppose -448 = -4*c + 4*m, -4*c + v = -0*m - 2*m. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 + 2676*t - 10640.\nAnswer: -4*(t - 665)*(t - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + -4*-1*sqrt(65) + (1*sqrt(65) - sqrt(65))*-5)\/((sqrt(5) + 3*sqrt(5))*5 - (sqrt(5) - sqrt(45))*-2).\nAnswer: 5*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 124.4421 - -0.0579. Let v = g + -124. Let o = 8 + -11. Which is the nearest to -5? (a) 4 (b) o (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 + 3099*y. Let g(r) be the third derivative of r**5\/30 + 5849*r**2. Determine z(g(f)).\nAnswer: 8*f**4 + 6198*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 545*x**2. Let a(g) = g**2. Determine a(u(r)).\nAnswer: 297025*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.1531 and -31.\nAnswer: -29.8469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5 = 2*q, -2*r + 3 = 2*q + 15. Sort -6, q, -1 in increasing order.\nAnswer: -6, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h. Let l(q) = -38*q**2 + 2*q. Give l(b(n)).\nAnswer: -342*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 5*m - 2. Let y be x(-5). Let k(d) = 3*d**2 + 2*d + 1. What is the units digit of k(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77 + 74. Let o be 2\/9 + 13\/(-18). Which is the nearest to o? (a) -2\/15 (b) -0.04 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2. Suppose -5*h + 0*h = 0. Let y(z) = 0*z**2 + 0*z**2 + h*z**2 - z**2. Determine t(y(v)).\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2178 or 0.1?\nAnswer: -2178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.5 + -3. Let y = -89\/5 + 351\/20. Let v = -337\/8 + 42. Sort f, v, y in increasing order.\nAnswer: f, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.01 - -0.19. Let j(p) = p**2 + 5*p + 3. Let a be j(-4). Let b = -1 - a. Sort -2, b, o in decreasing order.\nAnswer: o, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1056\/110 + (-4)\/(-10)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 807113 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 1. Let a = 33.045 - 0.045. Let k = a + -38. Put k, f, 1\/5 in increasing order.\nAnswer: k, 1\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 24874*k - 24875*k - 19, -q = 6*k for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9028 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 11*m - 20427 + 20411 - m. Let y(s) = 2*s - 3. What is 3*w(j) - 16*y(j)?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -242359*a**4 + 3732121*a.\nAnswer: -2908308*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -90*m + 2786. Give k(31).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((700\/8)\/7)\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 650\/55 - (16 + 2670\/(-165)) - 12. Suppose 0 = -0*w - 2*w - 2*x + 8, 3*x - 16 = -4*w. Suppose 2*r = -3*r. Solve l = -j - r*j - w for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1204675339?\nAnswer: 7, 229, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*m + 796972, 152*m = 148*m + 16. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(6 - -1) + 6 + -1. Suppose j - 44 = -a - 39, l*a = -5*j + 21. Solve -3*t - a = -5*i, -3*t - t - 12 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5139791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 845*p**3 + 15*p. Let i(z) = 211*z**3 + 4*z. Calculate 15*i(o) - 4*y(o).\nAnswer: -215*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -3\/7 (b) 144 (c) 1\/6 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-252)\/63 - 9\/(-2)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-12)\/42*70\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*k, 2*k + k - 1626 = 5*i. Is -336 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - -4)*(-1)\/(-9). What is the closest to m in 2, 2\/7, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 13 = -o + 4*b, -2 = -4*o - 3*b. Let x be 359\/3 - (-2)\/(o - -7). Let h = x - 114. Solve 0 = -3*r + h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -2. What is the units digit of ((-156)\/9)\/(j\/15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 14461*j**2. Let x(t) = -5*t. Calculate l(x(z)).\nAnswer: 361525*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence omm when three letters picked without replacement from mqqoqqqomqqq?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7388 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -464\/21 - -22. Suppose 0 = -8*z + 2*z. Which is greater: z or a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*g**4 - 424169*g**2 + 27172358 wrt g.\nAnswer: -68*g**3 - 848338*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(189)\/sqrt(7) + -4 + 4.\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 5*x. Let s be v(-3). Suppose s*i - 10 = 5*i. Calculate the remainder when i is divided by (-4)\/3*9\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 44.54064962 and 2532?\nAnswer: 2487.45935038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*s - 15*s = -54*s + 354 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(1 - (-7)\/(-2)) - -17. Let c(l) = -2*l + 1. Let q be c(-4). Solve q*y - 5*y - t = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-198)\/(-1760)*-10*16\/(-2628).\nAnswer: 1\/146","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296*f = 40*f + 256 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6520546117 to the power of 1\/2, to the nearest integer?\nAnswer: 80750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**2\/5 - 339*s\/5 + 666\/5 = 0 for s.\nAnswer: 2, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*a + 9. Let z = 15 + a. Let w be 5*((-891)\/15)\/(-3). Calculate the greatest common divisor of w and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10020 + 0?\nAnswer: -10020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15269 + 45*j + 30533 - 36*j - 15264.\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.87 + 12.87. Which is the closest to -1\/2? (a) -2\/7 (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116 divided by 2.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(441) + -2*sqrt(441) - sqrt(729)*-1)\/(sqrt(30)\/((sqrt(40) - sqrt(10))*-3)).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.049+225259844\nAnswer: 225259844.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*i**2 - 362*i**2 + 175*i**2 - 106*i.\nAnswer: i**2 - 106*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 y when three letters picked without replacement from ypbpfdt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28638 and 1117918?\nAnswer: 432634266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 148964\/93 at least 1602?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -19*c - 39. Let f(t) = -5*t - 10. Let p(u) = 22*f(u) - 6*s(u). Let k be p(-4). Let b(z) = z**3 - z**2 + z - 1. Calculate b(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 3 = 2*d. Let h(c) = 1 - 3 + d. Let j(w) = -2*w**3 + 5. Let a = -23587 - -23582. Give a*h(t) - j(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(2*sqrt(320)))\/(sqrt(8)\/sqrt(2)*5 + 1*(sqrt(4) + sqrt(8)\/sqrt(2) + sqrt(4) + sqrt(4))).\nAnswer: sqrt(3)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -s**4\/3 + 15*s. Let a(i) = -11*i. Calculate m(a(q)).\nAnswer: -484*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 7:56 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 525966 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**3 - s**2 + 2*s - 9. Let v(c) = 8*c**3 - 2*c**2 + 4*c - 19. Calculate 5*p(b) - 2*v(b).\nAnswer: -b**3 - b**2 + 2*b - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 156 divided by -52\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18354 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7421796 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 8. Let t(v) = 4*v + 0*v**3 + 0*v**d - 6*v**3. Let q(j) = 7*j**3 - 5*j. Suppose -3*s + 2*z = -s - 8, z + 12 = 3*s. What is s*q(a) + 5*t(a)?\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 8*l**2 + l - 6. What is r(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + w - 8. Let m be u(-5). Suppose -3*b + 0 + m = 0. Suppose 5*z - b*n - 5 = -46, 0 = -2*n + 8. Sort -1, 1, z in descending order.\nAnswer: 1, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704) + 1 + 0 - (0 + -1 + sqrt(704)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 949524.04606 - -139105.95704. Let a = -1088561 + i. Let m = -69 + a. Round m to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k - 7*k**3 + 9*k**3 - 3 + 0*k**3 + 3*k**4 - k**4 to a*k + j + i*k**4 + x*k**3 + h*k**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2 - -3) + 4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*b**2 - 106*b**2 + b + 28*b**2 - b + 58*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_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: Calculate the least common multiple of 151910 and 21571220.\nAnswer: 21571220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 22\/7*h + 2\/7*h**3 - 20\/7*h**2 = 0. What is h?\nAnswer: -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-31)\/(32\/(-80)*(-6)\/(-240)) and 930.\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (h**3 + 4*h**3 - 4*h**3)*(-8 - 233*h - 471*h - 845*h) as a*h**2 + u*h + v*h**4 + b + l*h**3 and give v.\nAnswer: -1549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*t - 3 - 27. Factor -5*g + 0*g**2 - 2*g**4 - 4*g**4 + 2*g + t*g**5 + 6*g**2.\nAnswer: 3*g*(g - 1)**3*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -f**6\/18 - 2*f**5\/15 - f**4\/12 + 8. Factor t(w).\nAnswer: -w**3*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by -6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(0*d**3 + d**4 + 0*d**3) + (-2*d**2 + 2*d**2 + 2*d**2)*(2*d**2 - d**2 + d**2) - 11*d**4 - 10*d**4 - 12*d**4 + (-1 + d**3 + 1)*(0 + 0 + 2*d).\nAnswer: -26*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 57302626.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -116 + 174. Suppose 30 = 2*z - 2*o, 3*o = -2*z - 2*o + p. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g**3 - 15 + 2*g**3 + g**3 + 0*g**3.\nAnswer: -4*g**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**4*t*t**(-17) assuming t is positive.\nAnswer: t**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -112 - -331\/3. What is the third smallest value in 0.09, g, -0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + 5*(-1 + sqrt(245)) + (sqrt(245)*-1)**2*-5.\nAnswer: -1226 + 35*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1148, 1, -3, 3.\nAnswer: -3, 1, 3, 1148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1471501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(200)*1 + sqrt(200) + 1*sqrt(200) + -4 + 1 - ((sqrt(200)*2 + sqrt(200))*2 + sqrt(200) + sqrt(200) + -1 + sqrt(200) + 2))**2.\nAnswer: 720*sqrt(2) + 16216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.165982 to 1 decimal place.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*b**2 + 12*b**3 - 8*b**3 - 6*b**3 - 19*b.\nAnswer: -2*b**3 - 41*b**2 - 19*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 3249 and 3249 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 449 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88712945?\nAnswer: 5, 17742589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 54*a**3 + 483*a**2 + 405*a - 24.\nAnswer: 3*(a + 1)*(a + 8)*(18*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(104))\/(sqrt(24)\/sqrt(12) + sqrt(8)) - (-2 + 5*(sqrt(637) + 0 + sqrt(637)))**2.\nAnswer: -63704 + 844*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 17*p = 16*p - 11, -34 = 3*l + 5*p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 + -60. Let o = -65287\/48420 + -4\/2421. Find the common denominator of (((-500)\/32)\/(-5))\/(3\/p) and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (21\/15 - 1)\/((-1)\/(-100)). Suppose -5*x + 9*x - p = 0. Suppose -w - 2*u + 0*u = 1, 2*w - 16 = 5*u. Solve -2 = w*l + x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 14*w**3 - 3*w. Let v(c) = -5*c**3 + c. Suppose k = 4 - 8. What is k*z(x) - 11*v(x)?\nAnswer: -x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = 6*k - 204. What is the remainder when 64 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 2fd?\nAnswer: 2f9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(468) + -1 + (sqrt(468)*-1)**2)*-4 - (4 + (-3 + -1 + sqrt(13) - (sqrt(13)*-2 + sqrt(13))*5)).\nAnswer: -1863 - 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 71*-0.0445313\nAnswer: -3.1617223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -83, -1\/3, 3\/277?\nAnswer: 3\/277","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((110\/(-33))\/(-10)*(-9 - -8))\/(498\/36)?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 15, 2*j + 29*u - 28*u - 313 = 0. Solve -28*q - j = -6*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, x: 1, q: 1, f: 1, y: 2, h: 1}. Give prob of sequence mhy.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-600) + 1 + -1. Let r(m) be the third derivative of -m**2 + 0 - 1\/15*m**3 + 1\/30*m**4 + 0*m - u*m**5. Find d, given that r(d) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18191, 18189, 18187, 18185?\nAnswer: 18183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 e when two letters picked without replacement from mvvemmtvxtmam?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven eighths of a kilometer?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5907 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, e: 1, z: 4, q: 6, g: 4, x: 1}. What is prob of picking 2 g and 1 e?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 9 = -12*d. Suppose 120 = d*r + 3*x, -r + 3*r - 122 = -2*x. Suppose 0 = -3*g + 2*a + 63, 3*g - 5*a + 2*a - r = 0. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -3*c + 3, 29 + 12 = -4*c - 5*t. Let l(i) = i + 1. Let k(w) = -6*w - 5. Determine c*l(a) - k(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 6:03 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10965742 or 10965737?\nAnswer: 10965737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 275 = -c. Suppose -3*g + 26 + 189 = t, 4*g - t - c = 0. Let l = 153 - g. List the prime factors of l.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(112)\/sqrt(4)*-1)\/sqrt(4).\nAnswer: -sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350 - 133 = 7*d. Suppose l + d = 205. Does 22 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 566, -2\/5, 0, 180\/17, 1\/7, -4?\nAnswer: 180\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 2\/203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1*12*-2 - ((-286)\/11 + 24)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/38)\/1*61*(-36)\/19764?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 430, 1663, 3722, 6613, 10342, 14915?\nAnswer: 20338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - j**2 + j + 1. Calculate w(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6570 divided by -6.\nAnswer: -1095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 0. Let n(y) = 5*y + 1. Is 13 a factor of n(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 15 = 5*d - 4*h, -4*d - 4*h - 220992 + 220968 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*h**2 + 53*h**2 + 112 - 42*h**2 + 48*h**2 - 112.\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 28\/16 - (-2)\/8. Suppose -a*x = -7*x. Suppose 18 = 2*p - 2*n, -2*n - 3*n = 5*p - 5. Solve 0 = -4*j + 1 - 9, x = 3*y - p*j - 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**5*t**2 - 4912570*c**3*t**2 - 15*c**2*t**2 - 3*c**2*t + 21*c*t + 3*t**2 + 84*t + 4 wrt c?\nAnswer: 60*c**2*t**2 - 29475420*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2741040 by -648.\nAnswer: 4230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 12:36 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21264, 42533, 63806, 85083?\nAnswer: 106364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 318*c - 323*c = -4075. What are the prime factors of c?\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -8. Let y(x) = x**3 + x**2 + x + 1. Let i(s) = -s**3 - 4*s**2 - 7*s + 2. Let l(q) = h*y(q) + i(q). Let v be l(3). Sort v, 5, -1.\nAnswer: v, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (198\/(-84))\/11*42\/12. Let d be (1\/4)\/(21\/(-140)). Put o, -1\/2, d in ascending order.\nAnswer: d, o, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 29*s - 3. Let x be c(7). Suppose 46 + x = 3*a. Let r = a + -161\/2. Which is greater: 3 or r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 990*c + 274*c + 1354*c.\nAnswer: 2618*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - (-10)\/12) + 67367\/606. Find the first derivative of -29 + 47*p**2 + 63*p**2 + 14*p**4 - n*p**2 wrt p.\nAnswer: 56*p**3 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 3*d + 2. Let r(u) = -21*u**2 - 8*u + 6. Let g(t) = 75*t**2 + 35*t - 26. Let q(s) = -3*g(s) - 11*r(s). Let m = 68 - 34. Give m*x(n) - 6*q(n).\nAnswer: -2*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -165 (c) -3 (d) 148 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4995 by 111.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1224*s + 1316*s - 937 - 1363 = 0 for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -25*c - 5. Let w(v) = 3 + 16*v + 22*v + 5. Let o(h) = -8*u(h) - 5*w(h). Is o(2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -570, -1944, -4616, -9018, -15582, -24740?\nAnswer: -36924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 692?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 38, 0, 4, -2 in increasing order.\nAnswer: -4, -2, 0, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2136, -2148, -2160?\n\"Answer: -12*b - 2124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -27*o - 676. Determine j(-25).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jcxc when four letters picked without replacement from xxjjxxcxjjcjjjx.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 17.4, 1, 1\/3, 0.29 in decreasing order.\nAnswer: 17.4, 1, 1\/3, 0.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.697077761 rounded to three dps?\nAnswer: 0.697","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52*p**4 - 7*p**3 - 1438*p**2?\nAnswer: -1248*p - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200 - 397 = 39*y - 51 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 640549*g**6 + 31*g**2 + 3247*g wrt g.\nAnswer: 76865880*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 5 + (12 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**3 + 3*d**2 - 7*d + 3. Suppose -4*l - 112 = -232. Let j = -27 + l. Let p(o) = o**3 + o**2 - o + 1. Calculate j*p(s) - n(s).\nAnswer: s**3 + 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -77154.8 rounded to the nearest one hundred?\nAnswer: -77200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + (-20 - 0))\/((-5)\/(-15)). Let p be ((-13)\/(-3))\/(4 - (-210)\/z). Let q = -19 + p. Calculate the greatest common divisor of 50 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2941934 micrograms to tonnes.\nAnswer: 0.0000000000002941934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b*j**2*r*w + 5*b*j**2 + 245311*b*j*w + b*j - 194*b*r - 2*j*r - 12*j - r*w + r with respect to w.\nAnswer: 2*b*j**2*r + 245311*b*j - r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*p - 232 + 862 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 195110 - -618?\nAnswer: 195728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 175866 = -4*k, -k = 4*h + 80028 - 314542. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*7\/28 + (-58)\/(-200). Is 0 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**6\/45 - t**5\/15 + 2*t**3\/9 + t**2\/3 + 21*t. Let q(j) = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, -74137, -19, -1?\nAnswer: -74137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 5:48 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3028\/9 + -336. Which is smaller: 2\/5 or d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*9\/12 + 3 + 1. Let r be (-34)\/(-8) - (0 + (10 - a)). What is the third biggest value in r, 24, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8740 divided by 76\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1788376.1 to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1050*q**3 - 2*q**2 - 2680*q wrt q?\nAnswer: 6300*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 2*v - 8. Let a be y(8). Calculate the greatest common factor of a and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2865, 3, 4\/3, -22, -5 in ascending order.\nAnswer: -22, -5, 4\/3, 3, 2865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/4)\/(-1*1\/6). Suppose -i*j - 13 = -64. Suppose -13*n = -j*n - 8. Which is the closest to -2? (a) 1\/3 (b) n (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**5 + 5*p**4 - 91*p**3 - 67*p + 91*p**3 + p**5 wrt p.\nAnswer: 40*p**3 + 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -16*t**3 + 8*t**2 - 43*t - 36. Is l(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a. Let v = -3 - -6. Let w(x) be the first derivative of 8 + 5*x**v - 4*x**3 - 5. Calculate i(w(h)).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p - 6. Let h be r(6). Let o be 222\/h + 1\/(-2). Suppose 5*q - 17 = 4*g, g - 7*q = -3*q - o. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 24213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 59290 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8491.8830632 - 3311345.8824032. Let b = -3302785 - q. Let o = b - 69. What is o rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*w**2 - 8704 - 19*w**5 + 8704 wrt w.\nAnswer: -1140*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/156 and 93\/12825220?\nAnswer: 500183580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 307*b**2. Let t = 20 - 17. Let o = t - 4. Is y(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 540 + 8631. What are the prime factors of s?\nAnswer: 3, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-78) - (10\/(-6) + (43 - 41)).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1370 greater than or equal to -1369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 15*b. Let i = -34 + 34. Let w(p) = p**2 + 2*p - 15. Let n be w(i). Let m be f(n). Solve m = -l - 0*l - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, k: 11, z: 1, j: 1, h: 1, m: 4}. Give prob of picking 1 o and 1 h.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -603*b**3 + 4*b**2 - 2*b - 4. Let d(h) = 3627*h**3 - 23*h**2 + 11*h + 23. What is 6*d(c) + 34*s(c)?\nAnswer: 1260*c**3 - 2*c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 w when two letters picked without replacement from {w: 3, y: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, e: 8, u: 5}. Give prob of sequence eu.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5 - -1158) + -3*(-24)\/9?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 + -12. What is the remainder when 58 is divided by j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11262, -22500, -33750, -45018, -56310, -67632, -78990?\n\"Answer: -y**3 - 11231*y - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rpgriaa. What is prob of picking 1 r and 1 g?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(833) + (sqrt(833) - (-2 + 1*sqrt(833))) - ((sqrt(833) - (3*sqrt(833)*-2 + sqrt(833))) + sqrt(833) - sqrt(833)))**2.\nAnswer: -140*sqrt(17) + 20830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10252 and 308.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -8*n - 13. Let z(s) = -7*s - 13. Calculate -6*q(j) + 7*z(j).\nAnswer: -j - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 < -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 4*j - 10 - 48, 5*j = -2*n + 76. What is the remainder when 2044 is divided by n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 8*j + 13. Let p be g(-9). Solve 0 = q + p*q + 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -17*s**4\/12 + 2*s. Let i(r) be the third derivative of -r**5\/60 - r**2 + 11. Determine i(o(z)).\nAnswer: -289*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -109062.045 and 3.\nAnswer: -327186.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 211, 836, 1881, 3346, 5231, 7536?\nAnswer: 10261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 k when two letters picked without replacement from {k: 2, a: 2, c: 1}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 60?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 21312122 (base 5) to base 12\nAnswer: 89502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 563, -42, 10 in descending order.\nAnswer: 563, 10, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 4*c**2 - c. Let m be y(4). Let t be (m\/(-6))\/(3\/54). Suppose j = -2*o - o + t, 0 = -4*j + 5*o + 14. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 101 + 9*v + 77*v**2 - 73*v**2 - 5 + (4*v - v - v)*(-1 - v + 1).\nAnswer: 2*v**2 + 9*v + 96","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-18)*(-2)\/(-3)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2038315907?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m**3 + m**2 - 1. Let u be r(-1). Suppose 2*z + 19 = u*t, 3*z = 2*t + 3 - 19. Is 762\/9 - z\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 3, -2 = -f + 3*i - 1 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*l = -165*l + 7654893. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 3, -4\/42953?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00023462202 to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkxxfwzz. What is prob of picking 1 f and 1 k?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 129 + 94. What is the least common multiple of 2 and 0 + (4 - s) + 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*a + 0*a + 4*a)*(78 - 195 - 208).\nAnswer: -10075*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s - 1. Let g = 41 - 42. Let t(z) be the first derivative of -6 + 0*z**2 - 4*z**2 + 6*z + z**2 + 0*z. Calculate g*t(h) - 4*c(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(((g*g*g**(-5\/7)*g)\/g)\/g)\/g)**(-9) assuming g is positive.\nAnswer: g**(-18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 321622*n - 643246*n + 321626*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 48\/(-72) - (-1 + 14\/(-3)). Let a = -0.32 - -18.32. Let z = a + -19. What is the second biggest value in -2, g, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 82\/(-56) + 6\/(-21). Suppose 26 = -2*a + 4*a. Let s = -14 + a. Are s and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3653 is divided by 245.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-5 + (-196)\/(-21)). Suppose -y*x + 18008 = -7758. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 319528486?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41832032 and 11264.\nAnswer: 1338625024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46007*l - 8750 = -45132*l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.24 - 1.54. Let u = -7731\/7 + 1105. Which is smaller: a or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -7*g - g. Suppose g*x - 19 = 1, -m + 4*x - 14 = 0. Let o(w) = -w**2 + 7*w - 2. Give o(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66039.\nAnswer: 3, 22013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -473, -470, -467, -464, -461?\nAnswer: -458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t*v**3 - 441*t*v - 315*v**3 + 2*v wrt v?\nAnswer: -12*t*v - 1890*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*z + 227*z + 258*z.\nAnswer: 346*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6040000 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**2 - 2*q + 2*q + (-3*q + q + 4*q)*(-2 + 2 - q) - 1 + 1 + q**2 + 428*q**2 - 183*q**2 + 184*q**2 - 4*q.\nAnswer: 426*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v + 2*v**3 - 5*v)*(2*v - 3*v + 3*v) + (-3 + 3 + v**2)*(-11*v**2 + 18*v + 0*v + 10*v**2).\nAnswer: 3*v**4 + 18*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -303055211 (base 6) to base 12\nAnswer: -18a1507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*s + 2156 = 1620 - 3316 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121546 (base 9) in base 5?\nAnswer: 123323123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6 - 31)\/(2 - 10\/4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 12.96. Let m = -2 - x. Let z = -0.54 + m. Which is the smallest value? (a) z (b) 0 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(475)*1*5 + 4 + sqrt(475)*2).\nAnswer: 16 + 140*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3660*u**6 + 426*u**5 + 242061801*u**2 wrt u.\nAnswer: -439200*u**3 + 25560*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/3 of a day?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 44530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 - 2962710*g - 438882527205.\nAnswer: -5*(g + 296271)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 8. Let u(q) = -q**3 - 39*q**2 - 37*q + 55. Let h be u(-38). Let v = h + p. Calculate the greatest common factor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(2\/3)\/p)\/p)\/p**0)\/(p*p**(1\/4))**43)**(32\/5) assuming p is positive.\nAnswer: p**(-5288\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + w = -5. Suppose 2*s + 5 = -w, -2*s = -3*d. Let y = 0 + 5. Put y, d, 4 in descending order.\nAnswer: y, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43.5 - -44. What is the third biggest value in 2, 2\/7, -4, x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4000560 by -4.\nAnswer: 1000140","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10209 and 858.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -129*z**6\/10 - z**3\/3 - 63*z**2\/2 + 94*z + 3. What is the second derivative of x(d) wrt d?\nAnswer: -4644*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -1, -1\/8, 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -0.1 (c) 34 (d) 242 (e) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 13*a = 8. Let r = a + 6. Calculate the lowest common multiple of r and 11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**3 + 13*k**2 - 8*k + 9. Give h(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 5*w**2 - 9*w - 5. Let i(y) = -y**3 - 4*y**2 - 7*y - 4. Let r(t) = 4*i(t) - 3*z(t). Let g(q) = -3*q**2 - q - 1. Calculate -g(d) + r(d).\nAnswer: -d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10*4*32\/40. Let v = o - 30. Suppose 0*l + 2*l - n = 9, 3*l = -n + 1. Solve l = -4*g - v for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of 0*g**4 + 1\/60*g**5 + 0*g + 0 + 11*g**2 + 0*g**3. Let w(q) be the first derivative of -2*q**3\/3 - 1. What is c(w(n))?\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*(21\/(-12) + 3). Suppose -3*n + 3 = -t*n + y, 5*n - 2*y + 6 = 0. Put 4, n, 3 in increasing order.\nAnswer: n, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**3\/3 + 622*t**2\/3 + 1252*t\/3 = 0.\nAnswer: -2, 0, 313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 70*d**2 + 51 - 27 - 18 - 14*d + 37 + 34. Is a(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 76935765*o**3 - 11704649.\nAnswer: 230807295*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 115 - -124. Let a = 622 - k. Let f = a + -251. Calculate the greatest common divisor of 33 and f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1111948 is divided by 555946?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/234 and 68\/(-14) + 5 - 21\/(-70)*-5.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.23 - -0.23. Let y = 0.08 - d. What is the closest to -1 in y, 0, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + ((-33)\/5 - 22\/55)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4604460 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/18 and (-74)\/3*(-7)\/(-42).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-45)\/(-12) + -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -19. Let r = o - -12.1. Let g = 1.1 - r. Which is the closest to 0.1? (a) -1 (b) 3\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4025 and 43.\nAnswer: 4068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13.3882 + -13.4. Let g = d + 40.9118. Let l = g - -1.1. Put 3, l, -2\/9 in descending order.\nAnswer: l, 3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.068 - -0.038. Which is the closest to m? (a) 1 (b) -13 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/4)\/((-1)\/4). Let y be -4*(-5)\/(-8)*d. Let h = -4.5 + 5. Which is the smallest value? (a) h (b) y (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o**3 - o**2 + 2. Let i be a(-2). Calculate the highest common factor of 165 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242187.\nAnswer: 3, 11, 41, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2642, 2640, 2638, 2636, 2634?\nAnswer: 2632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + a + 5 = 0, -3*a + 2*a - 5 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 10\/149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -82\/21 and 133\/972.\nAnswer: 6804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9975734 or 9975733?\nAnswer: 9975733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4209*i**4*t - 17*i**4 + 2*i**2*t - 275640*i**2 + i*t - 2*i - t wrt i?\nAnswer: 101016*i*t - 408*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a minute in seconds?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20110223232312 + -1?\nAnswer: 20110223232311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 382 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 23989, 24021, 24053, 24085?\n\"Answer: 32*p + 23957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -20, 3, 0, 0.2?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 1. Let q(i) = -4*i**2 - 13*i - 13. Let t(z) = 2*d(z) + q(z). Let h be t(-5). Suppose 2*l - 924 = -h*l. Is 22 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2385801617?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -2*v**7\/7 - 143*v**5\/5 - v**3 + v**2 + 706. Find the third derivative of g(f) wrt f.\nAnswer: -240*f**3 - 3432*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 3 - 3 - 7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2905\/711 equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 3*d**2 - 25*d - 33. List the prime factors of m(24).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-842)\/(-40) - 7\/140. Solve g*c = 17*c + 2*t + 12, -5*c + 4*t + 12 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -305 + -98. Let c = t - 227. Round c to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9683 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**2 + v**3 + 1 - 4*v**2 + 2*v**4 + 0 - v in the form f*v**2 + r + k*v + x*v**4 + q*v**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -55095326 and -0.12.\nAnswer: -55095326.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + -3 + -2 + 8. Suppose -p = -5*b - 2*s, 2*b - b - 4*s + 17 = 0. Is -2\/33 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 34. Let n be w(-14). Suppose -5*c - 24 = -h - 0*h, 3*c + 5*h + n = 0. Put 1, 3, c in ascending order.\nAnswer: c, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 273, 228, 137, -12, -231, -532?\nAnswer: -927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 6*c**2. Let n be r(1). Suppose -160 = -n*m + m. Suppose 4*h - m = -12. Solve 0 = 2*j + j - h*x + 16, 0 = -j - 4*x + 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 954 = -5*a - g - 2117, 5*a + 2*g + 3067 = 0. Let x = a + 1032. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -638*b**3 - 2*b**2 - 5*b - 4. List the prime factors of f(-1).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12727?\nAnswer: 11, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = -2*r - 2451*j + 2460*j, -11*r + 44 = 18*r + 2*j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12987529.7 rounded to the nearest one hundred thousand?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**3 - 37*g**2 - 27*g + 35. What is d(-18)?\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/24)\/((-126)\/(-24) + -5). What is the smallest value in -2, 62, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 148 = y + 38 + 67, 36 = w + 8*y for w.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 105513 divided by -15?\nAnswer: -35171\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 8. Let i = 7 + q. Let x = i - -4. Are 2 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/65 and 67\/935?\nAnswer: 12155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 200139, 400277, 600415?\n\"Answer: 200138*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 - -32. Calculate the smallest common multiple of b and 11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 2 + -7 + (8 - -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(44) - sqrt(11)) + sqrt(11)) - (0 + sqrt(11) + sqrt(99)))**2 - sqrt(22)\/(sqrt(2) - sqrt(162)*-2).\nAnswer: -sqrt(11)\/19 + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1, 4, -18, -2 in decreasing order.\nAnswer: 4, -1, -2, -9, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 42221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**3 - 8*p**2 - 10*p - 4. Let g(z) = -2*z**3 + 7*z**2 + 9*z + 3. Let y(o) = 4*g(o) + 3*l(o). Find t such that y(t) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -199*o + 5. Let j(f) = -100*f + 3. Let m(a) = 3*g(a) - 5*j(a). Let w(c) = -3*c - c - 5*c - 2*c + 9*c. What is m(w(v))?\nAnswer: 194*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -341, -3033, -10451, -24965, -48945, -84761, -134783?\n\"Answer: -395*n**3 + 7*n**2 + 52*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -9 - 2 - (25 + 22 + -96).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 0*a**2 - a**2 + 2 - 2. Let m(u) be the third derivative of u**7\/2520 + u**5\/60 - u**2. Let t(n) be the third derivative of m(n). What is t(k(z))?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 12:45 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 4:27 PM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 4 = 0, 55*p - u - 5 = 53*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.4 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2. Let v be 10\/5 + (1 - -24). Let p(r) = -27*r + v*r - 6*r**2. What is p(k(s))?\nAnswer: -6*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326213?\nAnswer: 17, 31, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -453\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -868722*h**2*t**3 + 314889*h**2*t**2 + h*t**2 wrt t.\nAnswer: -5212332*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z**2 + 3*z - 3*z + (8*z - z - 3*z)*(-58*z + 80*z + 49*z) in the form c*z**2 + j*z + i and give c.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (126\/(-140))\/((-3)\/5)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, r: 9}. Give prob of sequence rf.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.3, 1.3.\nAnswer: -0.3, 0.3, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 11:25 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 847399374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w + 1. Let q be m(4). Suppose c - 227 = q*z, -z - 484 = -2*c - 6*z. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2 + 6 - 5)\/1)\/(-4). What is the nearest to 7\/6 in h, -2, -0.4, -2\/13?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = 11*i + 3. Suppose 0*s + 3*s - 4*b - 31 = 0, -2*s + 5*b = -9. Suppose 2*y - 5 = s. Calculate the least common multiple of y and i.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 20*f**2 + f - 18. Let s be z(20). Suppose c + l + 11 = 0, -s*c + 4*l + 2 = c. What is the units digit of (8\/c)\/((-2)\/24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-28) + 2)\/((-362)\/16471)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2, 5, 0.06, 0.92, 4, 0.4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 43*s**3 - 193*s**2 + 183*s - 18. Let l(r) = 21*r**3 - 96*r**2 + 93*r - 9. Let w(g) = -5*l(g) + 3*z(g). Factor w(x).\nAnswer: 3*(x - 3)*(x - 1)*(8*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -672 = -2*n + 6*n. Let g be ((-2)\/(-3))\/(16\/n). Let l(q) = q**2 + q - 5. Is 22 a factor of l(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60438?\nAnswer: 2, 3, 7, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 + 97. Let m(q) be the first derivative of 50*q + q**4 + f*q - 18 + 54*q**2 - 4*q + 12*q**3. Factor m(t).\nAnswer: 4*(t + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 80, 79, 78, 77, 76, 75?\n\"Answer: -g + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand r - r + r**4 + (-3*r + 0*r + r)*(3*r**3 + 0*r**3 - r**3) + (0 + 0 - 6*r**2)*(-2*r**2 + 5*r**2 - 2*r**2).\nAnswer: -9*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 7:57 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292328 is divided by 2151?\nAnswer: 1943","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8 times -0.4961\nAnswer: 3.9688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 15. Let g be a\/3*1812\/(-16). Let p = 77 + g. Sort p, 2, -4.\nAnswer: -4, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/1431056 and 89\/12032?\nAnswer: 22896896","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 12233\/3 - 4008. Let s = 409\/6 - q. Is s less than 21\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.43 + -0.83. Let g = h + 3.4. Let m be (-3 - 1) + -7 + 162\/15. Put g, m, 10, -5 in descending order.\nAnswer: 10, g, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 734 (base 8) in base 9?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2994, -2985, -2970, -2949, -2922?\nAnswer: -2889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1315 + 1850. Suppose 18*z + o = 6079. What are the prime factors of z?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1192875600853\/223 + -5349232700. Let r = n - -14759. Let d = 19361\/892 + r. What is the common denominator of -111\/20 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 180 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 225 divided by -14?\nAnswer: -225\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/(-80)*(-1 + 2). Let x = -1 + 0.5. Which is the closest to -1? (a) 5 (b) i (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 296\/33 or 8?\nAnswer: 296\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6605 or 1\/3?\nAnswer: -6605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4\/197 + -24991\/1379. Let w = t - -18. Which is the third biggest value? (a) -1 (b) w (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 2*i. Let u(v) = v**3 - 3*v**2 + 6*v - 40. Calculate -3*f(k) + u(k).\nAnswer: k**3 - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-103 + 101)*49\/(-2). Suppose -p + 429 = 38*v. Suppose -6 = -t - t. Solve t*r = n + 7, 4*r - v = 6 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 1\/2*g**3 + 0 - g**2 + 2*g. Find the first derivative of z(t) wrt t.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010010101101 + -110110?\nAnswer: -100010011100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -1517*c - 261. Is m(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -95*g**2*y - 31*g**2 + 1029*g - 4*y - 2 wrt g.\nAnswer: -190*y - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-32)\/66 - 16\/(-24). Let m = -2.16 - -0.16. Put 2\/3, k, m, -2\/11 in ascending order.\nAnswer: m, -2\/11, k, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15132*u**3 - 9506 wrt u.\nAnswer: 45396*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -2. Suppose -4*m + 7 = -5*q, t = 5*m + 4*q + 9 + 13. Let z(a) = a + 2. Let y be z(m). Solve 0 = s - y*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + -1*(0 + 15). Let z = j - -20. What is the remainder when (z*30 - 4) + -3 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011000010011010000101 (base 2) to base 8.\nAnswer: 13023205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 42897041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**3\/3 - 50*c**2\/3 + 596931*c + 5373486 = 0?\nAnswer: -1359, -9, 1318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-279)\/(-39) + 4\/(-26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -503 + 504. Let o(p) = 2*p**2 - p + 5. Let v(w) = 2*w**2 - w + 6. Let f(u) = -5*o(u) + 4*v(u). What is f(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -461.494 - -461. Let m = t - -0.814. Is m > -3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82698 is divided by 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6*z*z*z*(z*z\/z**(5\/7))\/z*z)\/(z**(7\/2)\/z**(6\/11)) assuming z is positive.\nAnswer: z**(1129\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 710288299 to the nearest integer?\nAnswer: 26651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -10. Let s(n) = n**2 + 5*n - 61. Let g(l) = 8*l - 59. Let z be g(6). Let t be s(z). Solve 4*k + i*v - 4 = 20, 4*v = t*k - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8611, -34555, -77793, -138325, -216151, -311271?\n\"Answer: -8647*r**2 - 3*r + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 264 = 4*s, 22*w - 21*w = -5*s + 330. What is the smallest common multiple of s and 4?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1069*t - 1165*t + 3072 for t.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.36 + 11.72. Sort 0.5, c, -2 in descending order.\nAnswer: 0.5, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, -2677, 1 in ascending order.\nAnswer: -2677, 1, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -13. Let h = 6 + -5. Let o(z) be the third derivative of z**4\/12 - 5*z**3\/6 + z**2. Let v(p) = -p + 1. Determine h*o(f) + t*v(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y + 7*y - 13442 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 42*i**2 - 7*i + 124. Let d(b) = -23*b**2 + 4*b - 63. Determine -7*d(c) - 4*g(c).\nAnswer: -7*c**2 - 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 2*h**3 + 12)*(-h + 2*h + h)*(-12 + 12 - 10).\nAnswer: 40*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 2*w + 29. Let o be x(6). Let n be (-6)\/15 + 3*o\/100. Are n and -27 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = 15*f - 4393. Suppose -5*y = -f + 71. Suppose -4*j - j + 10 = 5*t, -4*t - j + 11 = 0. Solve -2*h + 3*c + 19 = 0, t*h = 2*c + c + y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/4*30\/(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 299772 divided by -27252.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -v**5\/20 + 3*v**4\/4 - 11*v**3\/3 + 15*v**2\/2 + v + 1615. Determine l(7).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 257, 719, 1483, 2543, 3893, 5527, 7439, 9623?\nAnswer: 12073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 4, -6, -1910.\nAnswer: -1910, -6, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2807?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -716, -1578, -2448, -3332, -4236, -5166, -6128, -7128?\n\"Answer: -f**3 + 2*f**2 - 861*f + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 11. Suppose -4*g = -o - 8, y*g = 3*o - 1 + 16. Which is the closest to g? (a) -5 (b) 1\/5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**2 + 0*m**5 - 4*m**5 - m**5 + 3*m**2 wrt m?\nAnswer: -300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43537 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventy-two fifths of a hour?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -9*g**2 - 17*g**2 - 18*g**2 + 43*g**2. Let b(l) = -237*l. What is z(b(s))?\nAnswer: -56169*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*m**2 - 3*m**2 + m**2)*(-2*m**2 - 4*m**2 + 4*m**2) + 3*m**4 - 5*m**2 + 5*m**2 + m**4 - 2*m**4 + 3*m**4)*(-3 + 2 + 4).\nAnswer: 9*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1966389041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35210190 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5639262?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 0 + 8 = -2*v, 0 = -5*v + 3*m - 7 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y + 10. Let j = -1252 + 1246. What is f(j)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7013.84 rounded to the nearest 10?\nAnswer: -7010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*n**3 - 22*n**3 - 28*n**2 + 26*n**2 to t*n**3 + h + s*n**2 + x*n and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 222 and 313686.\nAnswer: 313686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28\/(-154)*(-4173026)\/52?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - sqrt(68)*-2)*5 + -2*sqrt(68)*-5)\/(sqrt(20)\/(3*((sqrt(5) - (sqrt(5) - sqrt(10)\/sqrt(2))) + sqrt(5)))*-2).\nAnswer: -75*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of a**7\/84 - a**4\/24 - 74*a**3\/3 + 19*a**2 + 3*a. Let f(w) be the second derivative of j(w). Let o(y) = 6*y. Determine f(o(v)).\nAnswer: 1080*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2173 is divided by 24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.330875 rounded to three decimal places?\nAnswer: -0.331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/(-3)*2\/(-30)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 841, 687, 467, 187, -147, -529?\n\"Answer: z**3 - 39*z**2 - 44*z + 923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-12469358)\/(-1610) + (-4)\/(-70)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13854 and 129750.\nAnswer: 299592750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 15*u + 11*u + 13 = 0, -4*g = -3*u + 16 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 14 - (28 + -53).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7 - 0)*135553\/(-77) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109401855685 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 3092438 = -1750615. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 408, 792, 1172, 1548, 1920, 2288, 2652?\n\"Answer: -2*w**2 + 390*w + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 576 and 21888?\nAnswer: 21888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4894116.7 and -3?\nAnswer: 14682350.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -7, -2\/19, 4, -1, -4\/85, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -105226 (base 8) in base 3?\nAnswer: -1210200000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 38*a**2 + 45*a + 347. Is d(-35) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-2)\/36*(-5)\/(-5)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 836128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 117 = j, -3*g + 85 - 1 = 4*j. Calculate the greatest common factor of g and 2220.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/3)\/((-3)\/9). Let o = 6 + -2. Which is the biggest value? (a) o (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/((-1)\/(-1)) - 0. Suppose -u*o + 13 = -o. What is the remainder when 50 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 78 = 10*l, 6*t - 87 = 15*l - 10*l for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-3)\/3)\/(-5)*3895\/41\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2\/15 - 111356*t\/15 - 111358\/15 = 0. What is t?\nAnswer: -1, 55679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 1)*(-3 + 3 + 2) + (-4 + 4 - 6)*(-5 + 2 + 1))*(3*d + 2*d**4 - 3*d)*(-20 + 9 - 12).\nAnswer: -460*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 58, -0.3, -1, -0.05?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/4 + 243\/486 + 84\/(-10) + -1.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.9 + -0.9. Sort 3, f, 1.\nAnswer: 1, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3798*w + 6. Let j(b) = 11394*b + 20. Give -3*j(y) + 10*x(y).\nAnswer: 3798*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 4439926 and 4439925 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + ((-6945)\/(-27) - 2\/9). Suppose 3*b - a = 2*b + 2*y, -5*y = -4*b + 1031. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -84.4 - -88.4. Sort -3\/10, -0.1, 1.1, d in decreasing order.\nAnswer: d, 1.1, -0.1, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 2 = -2*a, -8*a - 2*g = -7*g - 29 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l**2 - l + 4. Suppose -24 + 27 = u. Let n(r) be the first derivative of r**u + 3 + 3*r - 1\/2*r**2. Determine -6*n(t) + 4*p(t).\nAnswer: -2*t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.7101 minus 17?\nAnswer: -28.7101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-60)\/(-43)*(57\/(-27))\/(-1). Let n = -12\/43 + d. Determine u so that 4\/3*u - 4\/3 + 4\/3*u**5 - n*u**3 + 8\/3*u**2 - 4\/3*u**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 531 divide 65854620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2837 - 2837.00002672. Round t to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (46\/(-115))\/((-2)\/565)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*o**4*w + 9*o - 2*w + 6 wrt o.\nAnswer: -8*o**3*w + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 24 = 29. Suppose 4*w = -k*i + 45 + 29, 3*i = -2*w + 38. Solve 5*j = -3*s - w, 6*s + 10 = 2*s - j for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -1.2, -567, 47, -1\/7 in ascending order.\nAnswer: -567, -1.2, -1, -1\/7, 4, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - 4 - (78 + -29).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2832 and -1.\nAnswer: -2833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 75 times -22841\nAnswer: -1713075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -419999 or -4199981\/10?\nAnswer: -4199981\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 4*q. What are the prime factors of 3 - ((1 - 3) + q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p**2 - 1620*p + 464 = 0. What is p?\nAnswer: -116, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -i**5\/240 - 661*i**4\/48 + 331*i**3\/3 + 13511*i**2. Factor b(g).\nAnswer: -(g - 2)*(g + 1324)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36475064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.06473 times -4\nAnswer: -0.25892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13499000953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5510.995583 - 5511. Round d to 4 decimal places.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (233*t**2 + 1670*t**2 - 693*t**2)*(6*t**2 - t**2 - 4*t**2).\nAnswer: 1210*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -31. Let b = -21 + h. What is the second smallest value in -2\/25, 1, b?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s - 31. Let i(o) be the second derivative of -o**4\/2 + 2*o**3\/3 + 2976*o - 1. Calculate w(i(l)).\nAnswer: 12*l**2 - 8*l - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m - 78*m**2 + 122*m**2 - 55*m**2 + 2 + 45*m to the form c*m + t*m**2 + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 21 - 12. Solve p*i + 16 = -2*a, -10 + 2 = 2*i for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s = 8*s + 220. Calculate the remainder when s is divided by 31.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x - 4. Let c be n(4). Suppose 4*t + 3*y - 6 = 0, 2*y - 2 + 6 = c. Suppose t = 2*r + 1. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 4:20 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6687 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1190 is divided by 418?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -18*u**5 + 74370*u**4 - 346628*u**3 - 165132*u**2 + 214614*u - 41270 = 0.\nAnswer: -1, 1\/3, 5, 4127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4360064 is divided by 9499?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (23 - 11 - 22)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h = 886 + 1242. Let g = h + -61. Solve -g*r = -56*r + 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7383 times 0.4?\nAnswer: 2953.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 - 621346*m - 621347.\nAnswer: (m - 621347)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z**2 + 12*z**2 + 27*z**2 - 6*z**3 - 27*z**2.\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 291005, 291014, 291037, 291080, 291149, 291250?\nAnswer: 291389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j + 5*j - 7*j + 5*j**2 + 1. Determine y(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = o + 4*o - 3*h, 5*o - 65 = -2*h. Suppose 0 = -2*t + 4*v + 12, -7*t + o = -3*t - 5*v. Solve -a - 3 = -t*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 2:46 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 29\/12)*54\/84. Sort 2, -5, b in descending order.\nAnswer: 2, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.35, -2\/9, 0.4, 4, -3\/4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qsssooo. Give prob of picking 1 o and 1 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*i**3 - 6*i**2 + 21*i**3 - 13*i**3 + 18*i**2 - 85*i wrt i?\nAnswer: 12*i + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 4*r**2 - 4*r - 23. Calculate l(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6489915 + -981160. Let s = 12681075 + g. Round s to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (567\/(-162))\/((4\/2)\/(-4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 13. Let w be m(13). Suppose 0 = 4*x - w*x - 16. What is the first derivative of 253*o**2 + 8*o**x - 253*o**2 + 13 wrt o?\nAnswer: 32*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, 241, 328, 221, -212, -1103, -2584?\nAnswer: -4787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -259, -556, -855, -1156?\nAnswer: -1459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -369773, -739544, -1109315, -1479086?\n\"Answer: -369771*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102754268 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-5)*t*t)\/t)\/(t*t**(1\/5)*t))\/(((t**(-1\/4)*t)\/t)\/t)**(-4\/21) assuming t is positive.\nAnswer: t**(-676\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fkkkkaf. What is prob of picking 2 k and 1 f?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1529 and 8201?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -58720, -117360, -176000?\n\"Answer: -58640*p - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 - -24. Let r = 24 + -23.9. What is the second biggest value in y, r, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + 2*q**2)*(-2 + 1 + 0)*(30 - 2 + 21) to the form r*q + j*q**2 + w and give j.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1524081?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 23*y - 3. What is r(-12)?\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*j - 0*j. Suppose 4*c - 49 = -j*p - 5, -2 = -2*p + 2*c. Solve -5*q + 16 = -0*g + 2*g, p = 4*g - 3*q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmy when three letters picked without replacement from {y: 2, m: 1, k: 1, j: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2357*f**4 + f**2 + 479*f - 2.\nAnswer: 56568*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.878 - 6.92. What is the third biggest value in u, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 2*s + 1. Let a(w) = w**2 - 9*w - 4. Let p(h) = 2*a(h) + 7*g(h). What is p(-3)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = q + 5*p, -5*p + 1 = -q + 5. Suppose -2*v + 1 = -v, -5*v + 33 = 2*j. Let m be (-1)\/(4*j\/16). Is q greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22648303.\nAnswer: 22648303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 816615 and 162.\nAnswer: 4899690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 9*w**2 + 2*w - 2. Determine q(-3).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13337?\nAnswer: 13337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**3*f + 32*d**3 + 99*d*f wrt d?\nAnswer: 12*d*f + 192*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2820732 and 14.\nAnswer: 19745124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 157465 and 30080314?\nAnswer: 4499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304 = -6*z - 2*z. Suppose -3*u + 441 = -87. Let k = z + u. List the prime factors of k.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -806 + -a7?\nAnswer: -902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*i - 3. Suppose -2*u + 56 = i*u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6293, -6215, -6091, -5927, -5729?\nAnswer: -5503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, s: 8, w: 2, i: 1, z: 2}. What is prob of picking 2 d, 1 z, and 1 w?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-2\/9))**(-2\/71))**(-20))**19 assuming l is positive.\nAnswer: l**(8360\/639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -8, 2, -1.56, 5, 11?\nAnswer: -1.56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of z**4\/24 - 7*z**3\/18 + 5*z**2\/4 - 3*z\/2 + 6. Find s, given that f(s) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 88278379\/18 + -4903097. Let k = f - 1259. Find the common denominator of k and 21\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*u**4 + 16*u**4 - 13*u**4)*(u + 0*u + 0*u)*(1 - 1 - 1) + 1 - u**5 - 1.\nAnswer: -14*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 243 = 2*y. Is y a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 101*s**3 + 114*s**3 + 13*s**2 - 208*s**3 to the form j + q*s**3 + u*s + r*s**2 and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**3 + 2*m**2 + 2*m + 3. Let l be (-44)\/28 + (-6 - (-78)\/14). What is p(l)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7}. What is prob of picking 4 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 1\/4*x**4 + 0 + 1\/20*x**5 + 3\/2*x**2 + 1\/6*x**3 - x. What is v(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -45, -53?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85*s - 4908 + 4908 to v + b*s and give b.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 12*h**3 + 11*h - 53*h**2 + 119*h**2 - 55*h**2. Let l(x) = 0*x**2 + 364*x - x**2 - 181*x - x**3 - 184*x. What is -2*b(f) - 22*l(f)?\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -96581070.99999944 - -96581066. Let r = -0.09 + 5.09. Let w = f + r. What is w rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 766904 and 136?\nAnswer: 766904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 19404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00134 rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 17*l**3 + 7*l + 176. Let a(d) = d**3 + d + 4. Let z(c) = -3*a(c) + k(c). Differentiate z(s) wrt s.\nAnswer: 42*s**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12\/5? (a) 1\/4 (b) 3 (c) -1 (d) -197.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*r**5 - 33*r**3 - 252*r**2?\nAnswer: 1080*r**2 - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 9*o**2 - 206*o + 2197. Suppose 6*h + 7*h = 52. Let t(q) = 10*q**2 - 205*q + 2195. Let p(j) = h*t(j) - 5*a(j). Suppose p(b) = 0. Calculate b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -3. Suppose 0 = 3*j - 0*j. Suppose -c - 2 + f = j. What is the greatest common divisor of c and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9, -15, -35, -45, -39, -11?\n\"Answer: m**3 - 4*m**2 - 19*m + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + 9 + -39 + 24 + 30?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4345419 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: Is -1019 bigger than -943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(1\/11))\/w*w*w**(1\/11))**(13\/4)\/((w**(-1\/3)\/w**(-2))\/(w**(-3)*(w**(-2\/9)*w)\/w)) assuming w is positive.\nAnswer: w**(-415\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 11:09 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d + 10*d**4 - 4*d)*(0*d - 2*d + d) + (-3*d**3 + d**3 + 0*d**3)*((2*d + 5*d - 4*d)*(7*d - 2*d - 3*d) + 1 - 1 - 5*d**2).\nAnswer: -12*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04818 * 2.\nAnswer: 0.09636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 468*d + 478*d - 17544 = -516*d for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/89, -2, 19, 5, 4, -3\/4301?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30941854?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0 (b) -2698 (c) 2\/81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 8:44 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.1 + -8. Let d = -319.5 - -39.5. Let u = d - -280. Which is the nearest to 0.7? (a) 5 (b) u (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6030 by 2381.\nAnswer: 6030\/2381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 550 + -910. Let t = x + 362.066. Let g = -0.066 + t. Which is the second biggest value? (a) g (b) 1 (c) -1\/5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 114072 and 32592?\nAnswer: 228144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 4\/23 (b) -1\/5 (c) 5 (d) 32 (e) 3 (f) 162\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, -7611.\nAnswer: -7611, -7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-6)*(12*54\/(-1152))\/(6\/(-4))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - f + 133 = 0, 3*r - 106 = -r - f. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of (-3 + 0\/8)*(-473)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**3\/2 - 13*j**2\/2 + 2*j + 26 = 0. What is j?\nAnswer: -13, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 6*o - 1. Let y = -6 + 0. Let b be a(y). Let k(c) = c + 3*c - c. Give k(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16178123 - -291128969\/18. Suppose 4*y = -5*c - 13558 - 3582, -y + c - 4294 = 0. Let o = l - y. Find the common denominator of o and -5\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79226 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5254, 3129, 1004?\nAnswer: -1121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 258276881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.3675 micrometers in centimeters?\nAnswer: 0.00493675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 19 = 3*i, -8*h + 5*h - 8 = 4*i. Which is the second smallest value? (a) 6 (b) 4 (c) i (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r - 17. Let q be i(-5). Suppose a = 11 + q. Solve 7 = 3*p + 2*f - a, 0 = -p + 2*f - 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 331536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.3 - -1.1. Let l = 15 - 6. Let k = -14 + l. Put 0.4, h, k in increasing order.\nAnswer: k, h, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1610 and 140.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -7*d**5\/20 - d**4\/2 - d**3\/2 - 4261*d. Let k(s) = -15*s**3 - 13*s**2 - 6*s. What is -6*k(f) + 13*y(f)?\nAnswer: -f**3 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/8934 and -12\/1489?\nAnswer: 8934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 588976 divided by 1048\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100611251 (base 7) to base 5.\nAnswer: -3000243041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 9:44 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1243*v - 1512*v - 3146*v.\nAnswer: -3415*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 5:46 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 345 = -137. Let u = y + -238. Solve 7*h + u = 24 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24140 is divided by 3445.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*n + 1)*(-4 + n + 4) - 6*n**2 + 12*n**2 + 7*n**2 + 2*n**2 - 10*n**2 + 18*n**2 to the form p*n + z*n**2 + w and give z.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-1)*2\/(-6). Suppose d*f - 489 = -f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 1 + (-2 - 2 + 5)*(-5 + 0 + 3) + 2 + 1 - 5)*(-n + n - 79*n**2).\nAnswer: 474*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(210) + sqrt(210))\/sqrt(7))\/(sqrt(6) - (sqrt(600) - -1*sqrt(600)))*-6.\nAnswer: 12*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1918985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23451639?\nAnswer: 3, 7817213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 18 = -6. Let v be 51\/34 - (-10)\/o. Find s, given that 3*s**3 + 38*s - 3*s**2 - s**v + 2*s**4 - 41*s + 2*s**2 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2135920 + 4508082. Suppose 1647838 + i = -6*h. What is h rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 175968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 592 a factor of 7587072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**3 - 3*p**2 + 2. Let a be g(2). Let k be (5*1)\/(a - 13). Suppose -k*b - j + 4737 = 480, -2*b - 3*j + 1708 = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 t, and 1 g when three letters picked without replacement from pggqqupqptqtggtkg.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, -8, 0.116883?\nAnswer: 0.116883","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -54*s*t + 507*s + 27*t + 276 wrt s.\nAnswer: -54*t + 507","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 18*c. Let p(l) = -42*l. Let u(d) = -310*d. Let f(w) = 15*p(w) - 2*u(w). What is b(f(h))?\nAnswer: 100*h**2 - 180*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 413322 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4\/3, -2\/5, 2, -2\/11, 0.04?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 - ((41 - -18) + -18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*i - 3*t - 6, -14 = -5*i + t. Suppose -20 = -0*k - i*k. Let l = k - 5. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1004441 to the power of 1\/2, to the nearest integer?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 96\/(-1008) - (-338)\/21. Solve 4*o = -2*d - q, -2*d = d - 4*o - 16 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2308 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.2, 2\/19, -2, -1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*a = -102*a - t - 4, -a = 5*t - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**3 + 122556*y**2 - 245120*y = 0. Calculate y.\nAnswer: -61280, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.022016 to 3 dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = 2*f + 502. Let y = f + 154. Let i(v) = -v**3 - 11*v**2 - 12*v - 13. Give i(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 = -9*w + 235. Let i be ((-4)\/(-10) + (-175)\/375)*w. What is the nearest to 0.1 in i, 0, -3\/7, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/443 (b) 0.2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -708 + -163?\nAnswer: -872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1078326\/343 < -3145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 13 + 6*y**2 - 28 - 2*y**2 - 4*y + 6*y**4. Let j(l) = l**2 - l - 1. Let x(r) = 4*j(r) - q(r). What is the derivative of x(b) wrt b?\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 469 - ee36?\nAnswer: -e9bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/9*a**3 + 2\/9*a**5 - 2\/3*a**2 + 0 - 2\/9*a**4 + 0*a.\nAnswer: 2*a**2*(a - 3)*(a + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-12)\/d))\/((d\/(d**(-1\/11)*d))\/d) assuming d is positive.\nAnswer: d**(164\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 12605*g + 6301*g + 6330*g.\nAnswer: 26*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -40442, -40388, -40334, -40280, -40226, -40172?\n\"Answer: 54*s - 40496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-20)\/30)\/((-2)\/345) is divided by 50?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h - h + 0*h + (2*h + h - 4*h + (-23*h + 393*h - 130*h)*(3 + 0 - 1))*(4 - 3 + 1).\nAnswer: 956*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 + 56 = -f for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 * -0.04593.\nAnswer: -0.0050523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.53 + 3.53. Let f(r) be the first derivative of -r**2\/2 + 8*r + 1. Let h be f(6). Is h at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.419965l to millilitres.\nAnswer: 7419.965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4 - 349*o**3 + 6694*o**2 + 32296*o.\nAnswer: -o*(o - 22)*(o + 4)*(o + 367)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6748 or 6741?\nAnswer: 6748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o - 320 = -9*o. Let p = o + 118. Let k(z) = -18*z - 63. Let r be k(-11). Calculate the highest common divisor of p and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/54 and 119\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + ((-1014)\/(-24))\/(-13)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 6 + -7 + (-2 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.33 plus -0.079?\nAnswer: 2.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((1*sqrt(385)*-5)\/(4*sqrt(7)*-2))\/((sqrt(35)*1)\/sqrt(7) + -6*(sqrt(180) + sqrt(5) + sqrt(5))))**2.\nAnswer: 424403\/141376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 2:54 PM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*x + 11 + 20 = 0, 2*x = 2*r - 16. Suppose -3*k - r - 6 = 4*w, -w = -2*k. Let o be w\/(-7) + (-1)\/(-21)*57. Put -2, -3, o, -5 in ascending order.\nAnswer: -5, -3, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 831518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -98533 (base 16) to base 15.\nAnswer: -c4ced","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 452 = -88. Let l = -38 - b. What is the remainder when l is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.31 - 1.23. Let h = -0.04 + l. Let u = 1 + h. Round u to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (72\/(-20))\/((-1)\/5). Let u = 7 - w. Let y(x) = x**3 + 12*x**2 + 10*x + 1. Let l be y(u). What is the greatest common factor of 132 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*g - 29*g + 11*g + 29 + 8*g - 6 as h + p*g and give h.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1488698889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*y = 6, r + r + 2*y = 2. Suppose -2*a = 4*h - 66, r*a + 0 + 12 = h. Calculate the remainder when 61 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 28*p**3 + 10*p**2 - 3*p + 6. Let m be s(4). Let y = 253 + -236. Suppose 0 = y*h - 6706 + m. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6099672*-1.9\nAnswer: 11589376.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -189*d**2*n**3 - d**2*n - 57*n**3 + 7*n wrt d.\nAnswer: -378*d*n**3 - 2*d*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1363 is divided by 50.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 21) + (-3)\/(-5)*5. Suppose 5*n - 1 = o + 3*n, -2*o - 14 = 2*n. Sort 3, o, j.\nAnswer: j, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18273.\nAnswer: 3, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 601655373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/168 and (-6)\/108*((-1545)\/10 - 0).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + u = 0, 0 = 4*i - 4*u - 36. Let 2*h**2 - i*h - 1 - 2*h - 4 - 4*h**2 = 0. Calculate h.\nAnswer: -5, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77020 divided by 19255?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -30, 113, -2, -5, 523.\nAnswer: -30, -5, -3, -2, 113, 523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -14 (b) -105 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 20, k - 524*s = -519*s + 3998. Calculate the greatest common factor of 411 and k.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 461 and 3881159?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 11747.\nAnswer: -35241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 5*q**9\/252 + 7*q**5\/15 - q**2\/2 - 7. Let s(j) be the second derivative of y(j). Find the third derivative of s(n) wrt n.\nAnswer: 1200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a second in milliseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 336903 and 38924.\nAnswer: 49861644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3330332 (base 4) to base 5.\nAnswer: 1004230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -3*z - 3*m, 1210 - 1278 = -5*z - 3*m for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 21, 7, -15, -45, -83?\n\"Answer: -4*y**2 - 2*y + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 121*l + 2907. What is c(-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -29*r + 585. Let g be o(20). Let f(y) be the first derivative of 88*y**3 - 96*y**2 - 6 - y**6 + 51\/5*y**g + 48*y - 42*y**4. Factor f(d).\nAnswer: -3*(d - 2)**4*(2*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112808 and 5900?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 601758.1cm in millimeters?\nAnswer: 6017581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*h + 1 + 17 = 0, 0 = 4*h - 16. Let b be ((-6)\/(-5))\/((-6)\/(-15)). Suppose -p + b = v. Calculate the remainder when 1 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 0.064?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25731962 is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138755?\nAnswer: 5, 27751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(320) + 0))**2 + 0.\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, -250, -389.2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -12, -52, -17, 4.\nAnswer: -52, -17, -12, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351 = 37*i + 18 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -829425408 divided by 742.\nAnswer: -1117824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-400))\/((-2)\/(-12)*(-207)\/(-46))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 8:24 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1719394 is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 15*y - 5. Let w be g(10). Suppose 5*i - 45 = w. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**4\/2 - 393*t**3 + 53019*t**2\/2 - 99846*t = 0. Calculate t.\nAnswer: 0, 4, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12668 divided by -4.\nAnswer: 3167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -57348, -113997, -169944, -225189?\n\"Answer: 351*f**2 - 57702*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/45)\/x**(-9) assuming x is positive.\nAnswer: x**(407\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-8)*(-56)\/(-42))\/((-22)\/33)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76960338 a multiple of 329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62*f - 1240 + 434 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 691318, 1382538, 2073758, 2764978, 3456198, 4147418?\n\"Answer: 691220*w + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 16, 2, -1 in descending order.\nAnswer: 25, 16, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180115 is divided by 60036.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -9*f**2 + 2*f - 4. Let i be r(2). Let u be 3\/(-18) + 138\/i. List the prime factors of 669\/15 - u\/10.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 105 - 100. Let d(r) = -r**2 - 7*r + 7. Calculate the remainder when d(-5) is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 8.58 (b) -336 (c) -0.3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -24\/13, -2\/11, 863, 0.4, 0.01?\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -31490, -62988, -94504, -126044, -157614, -189220?\n\"Answer: -b**3 - 3*b**2 - 31482*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*j - u, 3*u + 0*u = -5*j + 9. Suppose -18*z + 323 = -127. Solve j*v + 2*v = -z for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 360355 + 3?\nAnswer: 360361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250670 = 5946*b - 64468 for b.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 6*b - 5. Let l be (0 - -1) + (-464)\/58. Let h(m) = 11*m - 9. What is l*g(x) + 4*h(x)?\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*r = -18, 4*v + 9*r - 32 = 4*r. Let x = -244.8 + 245. Which is the second biggest value? (a) v (b) x (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 11:42 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**7*t*(t*t**(-1\/7)*t)\/t*(t*t\/t**(2\/7))**10)\/((t**(-1\/3))**(-2\/11)*(t**1*t)**(1\/29)) assuming t is positive.\nAnswer: t**(24758\/957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -29 (b) -138 (c) -0.29 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46\/9 + -17477\/3420. Let s(u) be the third derivative of 0 + y*u**6 - 1\/57*u**3 + 0*u - 1\/228*u**4 + 1\/570*u**5 - 20*u**2. Factor s(f).\nAnswer: 2*(f - 1)*(f + 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 8 = r, -19*r + 14*r + 4*h + 76 = 0. Calculate the highest common factor of r and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 152733 or 4?\nAnswer: 152733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3316314 is divided by 829049.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/85 and 29\/11?\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-116)\/348 + (2\/8 - 7\/28). Which is the closest to z? (a) -5 (b) 1 (c) 3\/7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 14\/3121?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 2)*(-6*p + 4*p - 6*p).\nAnswer: -24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22.4 * 3.\nAnswer: 67.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -358.4 rounded to the nearest 10?\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7 - (-3 - -3) - -8. Is f greater than or equal to 15\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 579 is divided by 192?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -178 take away -1.4?\nAnswer: -176.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 208 + -51. Suppose 34*f = 12*f - 1320. Let n = f + l. What is the remainder when n is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.17136284 and 197?\nAnswer: 195.82863716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 9:07 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - 1 - 21198\/(-7067). Let l = -15353\/727788 - -109719918313\/20573111184. Let v = q - l. Calculate the common denominator of 43\/14 and v.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 725 and 460838710.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 9:52 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 158.276 to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmkmkmmkkkmmkmm. Give prob of picking 1 k and 3 m.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 10, w: 1, y: 8}. What is prob of picking 1 w, 1 v, and 1 y?\nAnswer: 80\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.15 + 0.75. Let p = -1 + m. Is p bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -36, -44, -52?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 276*m + 1886. Calculate n(-7).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.0900789 times -2\nAnswer: 0.1801578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 714599736?\nAnswer: 2, 3, 29774989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0412 - 6.0412. Which is the closest to -2? (a) z (b) -0.4 (c) -1 (d) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38.81 - -10.\nAnswer: -28.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + w**2 - 1. Let z = -1922 - -1922. Determine c(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*i + 5. Let y = 6 + i. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223132123 (base 4) to base 3.\nAnswer: -100001021101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 585041841 divided by -124769.\nAnswer: -4689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 0*y**2 + 3*y + 5*y - 5 - y**2. Let x be j(7). Find the second derivative of -9*a**4 + 9*a**4 + a**5 + x*a wrt a.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 - 4)*(6 - 4 - 1)*(21*z - 12*z + 17*z) in the form c*z + g and give c.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-5) - (37\/185)\/(1\/(-283671)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.689 and 388764?\nAnswer: 388763.311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.62 rounded to 1 dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 57*h + 22. Let i be f(-16). Let o = i - -2299. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7 + -1. Suppose 4 = 2*z - 2*b, 9*z - 4*z + 3*b + 6 = 0. Let f be z + (33\/(-18) - -2). Put -0.5, w, f in descending order.\nAnswer: f, w, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -17*s - 100. Let y be m(-6). Solve y*b = 2*a + 6*b - 24, 0 = 2*a - 5*b + 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 5*c**3 + 3*c**2 + 2*c - 66. What are the prime factors of a(-5)?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*j = 273*j - 30 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbbdddbddbdddd. What is prob of sequence ddb?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 - 3*l - 3. Let z be d(3). Let a(s) = s**2 - 6*s + 7. What is the units digit of a(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 24*h**2 + 118*h + 55. Is t(-30) a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173426 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39060\/6930)\/(2\/(-11))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 1. Let t be y(1). Suppose 3*n = 4*p + p + 1, -n - 5*p + 7 = 0. Let x(f) = 8*f**2 - 3 - 6 - 9*f**2 - n*f + f. Calculate x(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11113132 (base 7) in base 15?\nAnswer: 13ed51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 184 + 28*p**2 - 1590222*p + 1590222*p to q*p**2 + k*p + b and give q.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + a - 4. Suppose 11 = -3*k - 1. What are the prime factors of r(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b3 (base 15) to base 8.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*n + 6 = -31*n, 2*n = 2*a - 68. Solve -3*m - 4*z + a = 0, m - 5*m = -5*z + 9 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*m - 9684 = -1801*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29863597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2254 - -2258. Let h = -4 + 6. What is the greatest common factor of h and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*k - k + 27 = 0, 7 = -u - k. Let t be 2 + 4 + (-1 - u). Let f be (12\/15)\/(0 - (-2)\/t). What is the nearest to 1 in 0.2, -1, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 26, 34, 42?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(1008) + -2)**2 + 4 + 0).\nAnswer: -5080 + 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 2. Sort w, -2, 0.\nAnswer: w, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 1624*f - 807*f - 804*f.\nAnswer: 13*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*t + 20 = 31*t. Solve 0 = 5*h - 0 - t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**4 + 2*p**4 - 3*p**4 + (-1 + 1 - 12)*(-4*p**4 + 5*p - 5*p) to the form l*p**3 + j*p**2 + u + d*p + i*p**4 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 24687?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16559988 and 201.\nAnswer: 16559988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.5005 + 278.6105. What is f rounded to zero decimal places?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56\/11 - 2\/11*o**2 - 32\/11*o = 0.\nAnswer: -14, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -26 + 82. What is the smallest common multiple of 6 and ((-96)\/(-24))\/((-4)\/i)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3053*q + 2843*q - 5657*q - 2.\nAnswer: 239*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -534, -523, -490, -423, -310, -139, 102?\n\"Answer: 2*v**3 - v**2 - 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 2143 (c) 5 (d) -3\/7 (e) -19 (f) -34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 10:38 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 + 451*v**2 - 914*v**2 + 461*v**2.\nAnswer: -2*v**2 - 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -0.997.\nAnswer: 1.994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*p + 32. What is the closest to 0.2 in p, -0.4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -5.2. Let d = 1053165\/31 + -33973. Which is the third smallest value? (a) d (b) o (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 - 6*y**3 + 2*y**3)*(-2*y + 7*y - 3*y) + (3*y - 5*y + 6*y)*(4*y**3 + 3*y**3 - 6*y**3).\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - v - 14 = 0, -24*z + 21 = -21*z + 5*v. Suppose z*i = 7 + 84. Let o(w) = 60*w - 3. Let n be o(2). Calculate the greatest common divisor of n and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 8035938.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.87 + -97.13. Let y = f - -97.61. What is y rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3 - 411*n**2 - 5 - 1870*n**2.\nAnswer: -2281*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1542342 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -3, 3, 75, -714?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100666 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(756)\/(sqrt(24)\/sqrt(2)) + sqrt(63) + (sqrt(63) - (sqrt(504)*2)\/sqrt(8)) + sqrt(63) + 4)**2 + 2).\nAnswer: -540 - 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 + -54. Let h = 1 + p. What is the highest common divisor of h and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 14294428*b**2. Let t(p) = -2*p. Calculate t(r(c)).\nAnswer: -28588856*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (635\/(-45))\/(40\/(-360))?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11886 - 11881. Let g(d) = -d - 5. Let q be g(-3). Let l be -2 - (q*4)\/2. Solve l*s - v*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aum when three letters picked without replacement from ymmau.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-2*sqrt(152)*1*3)\/(sqrt(16)\/(sqrt(16)\/sqrt(8)) + (sqrt(32) + (sqrt(32) - sqrt(2592)))\/sqrt(4)))**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n**3*o**2 - 55648*n**3 - 3*n*o**3 + 1440*o wrt o.\nAnswer: 4*n**3*o - 9*n*o**2 + 1440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -64\/4025?\nAnswer: -64\/4025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -852*v**2 + 852*v**2 + 7*v**3.\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-7)*p**1\/p*(p*p\/p**1)**(2\/99)*(p**(-1\/4))**(-1\/3)\/(p**0*p*p)**31 assuming p is positive.\nAnswer: p**(-26887\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1089 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_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: Calculate the greatest common factor of 27 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 8, -4*k + 5*m = -0*k - 42. Suppose 6*u - 2*u = k. What is the closest to u in -3\/2, -3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1742 and 670.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 3*t - 4 = 4*v, -4 = 4*v + 2*t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54407 is divided by 52.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5*g + 75. Let o be b(11). Let f be o\/(-25) - 8\/(-10). What is the nearest to f in -0.3, -0.7, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s - 19 = 12*s - 2*t, 5*s = 2*t - 37 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -555757, -555745, -555733, -555721, -555709?\nAnswer: -555697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -860532.2 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*g = -5*s + 235*g, 3*s + 28 = 5*g for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1823784971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-19)\/r**34*(r**18\/r)\/(r*r\/r**18) assuming r is positive.\nAnswer: r**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 340811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -69, -483, -1579, -3699, -7185, -12379?\n\"Answer: -57*p**3 + p**2 - 18*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - -52. Suppose -24*f + 209 = 929. Let y = i + f. What is the least common multiple of 24 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 85\/4*a**4 + 19305\/4*a - 22815\/4 - 95\/2*a**3 - 2115\/2*a**2 + 5\/4*a**5.\nAnswer: 5*(a - 3)**3*(a + 13)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 + -176 + (-1 - -8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-7 + 15\/3). Let o = -2 - -6. Let n be (o - 3)\/(l\/(-8)). Solve 3*g = 2*g - n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 (base 5) in base 10?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1667 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*6\/72 + 435\/(-380)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3492722361384 minus -0.03?\nAnswer: -3492722361383.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6 + (-16)\/(-4))*-33?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 3 - 58. Suppose -5*a + 5*d + y = 0, -11 = -3*a - d + 26. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*o = -29*o - 32, -5*o + 49 = -3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 7763*w**2 + 2605*w**2 - 16 + 2580*w**2 + 2583*w**2.\nAnswer: 5*w**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -680 by -136.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11165 times 50.03?\nAnswer: 558584.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-4) - (-10)\/(-24). Let w = -65.039 + 65. Let p = 0.039 + w. Which is the nearest to 0.1? (a) p (b) -0.3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - -4 - 4 - -484 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(972))\/sqrt(4) - (6*sqrt(12)\/sqrt(4) + -5))**2.\nAnswer: -240*sqrt(3) + 1753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/(-7) - (-6)\/14. Suppose 5*w - 35 = 5*t, -1 = 2*w - h*w - 2*t. Suppose -w*v = -11 - 29. What is the remainder when 37 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-2 - -2 - -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 12*d**2 - 4*d + 22. Let f be n(12). Let r = f + 21. Let c(s) = -s**3 + 5*s**2 + 4*s + 7. Let p be c(6). Is p > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 221500819 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -21. Let h = n - 0. Let p = -13.008 + h. What is p rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 14*d - 504. Let u be z(36). Is 1\/78 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 386.76275 + -0.06275. Round t to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203410 is divided by 28933.\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 14*x + 82*x + (-7*x + 11*x - 5*x)*(-5 + 11 + 12).\nAnswer: 78*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, s: 1, l: 1}. Give prob of picking 2 q.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q**2 + 7*q - 7. Let l(y) = 2*y**2 + 3*y - 3. Let o(c) = 7*l(c) - 3*x(c). Let b(h) = 4*h - 3*h + h. Calculate b(o(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -14, 0.472, 239?\nAnswer: 0.472","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29211.\nAnswer: 3, 7, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1672 - 1916. Which is smaller: -248 or j?\nAnswer: -248","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -185759366.\nAnswer: -185759367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 2:04 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*f, -5*f + 33 = 4*p - 32. Suppose 11*z + p*z - 260 = 0. Calculate the remainder when 38 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.2093 (b) 178 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35 * -13.\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-77 + -1)*(-1)\/1. Let b = -57 - p. Let w be (-51)\/b - (-2)\/9. Which is smaller: 2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-7)*a\/(a*a*a*(a**5\/a)\/a)*(a*a**(2\/5))**11 assuming a is positive.\nAnswer: a**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2441811 times -0.06?\nAnswer: -0.014650866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 469 + 41*v - 302*v - 467.\nAnswer: -261*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 82. Does 12 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/15 - (-1)\/3. Let i(j) = -2*j + 4. Let p be i(4). Let a = 1 + -0.6. What is the nearest to u in p, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3*k = 30, 7 = 4*v - k - 31. Let f(c) = 7*c**2 + 4*c - 4. Let x(m) = -12*m - 15*m**2 - 4 + 13 + 3*m. Give v*f(r) + 4*x(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 136\/3 + -45. What is the closest to 2 in 1, d, -1\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/6309, 1\/9, 0.3, 2\/7, 1, 2, -5\/6?\nAnswer: 2\/6309","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 - (-2 - 8\/(-4)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3 = 2. Let k = 11 - 8. What is the units digit of t + 13 + (k - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 289613202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1309\/16 or 82?\nAnswer: 1309\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/3889989 and 56\/4239.\nAnswer: 11669967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 67072 * 1\nAnswer: 67072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - t**2 + 4. Let r be w(-2). Let s be r + ((-32)\/(-12))\/((-2)\/3). Is (2\/(-6))\/(39286\/9822 - s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 3135 = 12*b. Let l = b - -1602. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 30 = -0*v. Suppose -2*x = -v*x + 4. Let p(h) = 3*h + 1. What is p(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -19*n**7\/42 - 29*n**4\/12 - 12*n - 24. Let p(b) be the first derivative of t(b). Find the third derivative of p(h) wrt h.\nAnswer: -1140*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -131*d**3 - 11*d**2 - 92*d - 11. Let n(p) = -33*p**3 - 3*p**2 - 23*p - 3. Let i(g) = 22*n(g) - 6*w(g). What is the second derivative of i(y) wrt y?\nAnswer: 360*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 7*k**2 + 914*k. Let y(x) = 2*x - 224. Let t(l) = l - 56. Let j(o) = 4*t(o) - y(o). Calculate g(j(d)).\nAnswer: 28*d**2 + 1828*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, -0.2, 1\/3, -167, 4, -0.1 in ascending order.\nAnswer: -167, -5\/2, -0.2, -0.1, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1755201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 210 and 1716820.\nAnswer: 5150460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2367621432.\nAnswer: 2, 3, 11, 89, 33589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - a + 374, -564 = 158*m - 161*m - 2*a. Calculate the highest common factor of 2346 and m.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m\/(m\/(m\/((m**(-20\/9)\/m)\/m))))\/m)\/m**(-37) assuming m is positive.\nAnswer: m**(380\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*s**2 + 77*s*z - 66*s - 177684*z with respect to s.\nAnswer: 6*s + 77*z - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.9 - -3.9000141. What is q rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 31132?\nAnswer: 31201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 6\/7, -8, -0.3?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.195 - -7.805. Let f = 7 + -14.6. Let g = k + f. Which is the third smallest value? (a) -2\/3 (b) 1\/3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37666153.\nAnswer: 7, 337, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11500427?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*o + 2*o**3 + 2*o**3 - 96*o.\nAnswer: 4*o**3 - 78*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*q**3 + 486*q**3 + 161*q**3.\nAnswer: 483*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3544 rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 46, 83, 124, 163, 194, 211?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 0 - 7*u + 1\/4*u**4 + 0*u**2 + 0*u**3. Let r(y) = -2 - 2*y**2 + 2. Give x(r(h)).\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*q - 2 + 2*q**2 + 10 - 9*q)*(-6*q**2 - 2*q**2 + 3*q**2) + (q + 3*q - 3*q)*(-q**3 + 2*q**2 - 2*q**2).\nAnswer: -11*q**4 + 10*q**3 - 40*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n**2 - 44*n - 26. What is the remainder when 97 is divided by r(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2035151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 0*u + 4*u)*(2*u - u - 4*u) + 8*u**2 - 3*u**2 - u**2 + 0*u**2 + u**2 - 3*u**2 + (0*u - 2*u + u)*(-u - u + u) - 2*u**2 + u - u.\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*d + 129*d + 12 = -4*b, b + 24*d = 18*d - 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -457*o + 453*o. Sort 3, o, -33 in decreasing order.\nAnswer: 3, o, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 15. Let w be b(-17). What is the second smallest value in w, -0.2, 2\/3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2 - c + 3. Let s be r(1). Suppose -2*a - 592 = 14*a. Put 2, a, 3, s in descending order.\nAnswer: s, 3, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3202365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1091.3 - -1090.3. Is f less than or equal to 94.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2505602 is divided by 54.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 172139605 and 440.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -40062 (b) -1\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q + 20. Let m(c) = -943*c**2 + 1. Give s(m(f)).\nAnswer: 2829*f**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3516 + -0.1516. What is the nearest to 6 in -1\/7, -26, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4240.778 nanometers to micrometers.\nAnswer: 4.240778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 6 = -v - 8, -4*o = 2*v - 12. Let c(q) = 126*q**2 + 3*q + 4. What is the tens digit of c(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -650 (b) 0.3 (c) -43 (d) 35\/4 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 870 = 9*c - 3*c. Suppose c = 3*n + 70. Let r be 22\/5 + (-10)\/n. Solve r*l - 6 = 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4) + (-15)\/(-10). Let j = -3 + 4. Let n = -1.8 - -2. Which is the closest to j? (a) r (b) -3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 135, 133, 131, 129, 127, 125?\n\"Answer: -2*c + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 155331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/223056 and 37\/1500?\nAnswer: 27882000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 18 = 5*v - 3*t, 2*v = 4*t - 6. Solve s = -v*s - 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -5*a + 4*z, 991*a - 3*z - 35 = 989*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*n = 0. Let i(b) = 14 - b**2 - 3*b**3 - b + 5*b**3 - 3*b**3. Is 9 a factor of i(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15432802237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2424 (base 7) to base 16\nAnswer: -384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/24669 < -9\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47650555 or 47650554?\nAnswer: 47650554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37 in 1, -37, -0.3, -145?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -80569 and -15?\nAnswer: 1208535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 8.8. Let h = -0.8 + i. Let z = 17.4 + h. What is the closest to 0 in 0.11, z, -2?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/535 (b) 4 (c) -2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6*(1 + -2))\/(16\/(-168)). What is the common denominator of (203\/h - 3) + 111\/108 and -49\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 37 = -5*f. Let g(p) = 9*p**3 - p**2 - 4*p - 1. Let c(n) = -62*n**3 - 3*n**2 + 18*n - 5. Let v(h) = c(h) + 7*g(h). What is v(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 4*z - 22 = 0, 3*a - 60*z + 63*z = -27 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2221.1 - 2221. Which is the closest to -1\/14? (a) -1\/6 (b) 5 (c) h (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 135958580 and 40?\nAnswer: 271917160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 137*t**2 - 1046*t - 17663. Determine l(-130).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/6)*x*(x*x**(-5\/6)\/x)\/x*(x**(8\/5))**(1\/7) assuming x is positive.\nAnswer: x**(-27\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*w - 12303*w**3 + 323*w - 173*w - 11808*w**3.\nAnswer: -24111*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 27*x**2 - 9*x + 36. Suppose 78*l - 12 = 75*l. List the prime factors of q(l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 920.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10704?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -4*f + 236, -r + 5*r + 118 = 2*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (204\/(-187))\/(7\/((-1155)\/10))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 9:36 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -1\/60*t**5 + 0*t - 16*t**2 + 0 + 1\/8*t**4 + 1\/3*t**3. What is i(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 930\nAnswer: 1\/186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 534 = i + w, 0*w - 1064 = -2*i - 4*w. Let n = i - 1050. Is (-8 - 1 - -3)\/(4\/n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3500 - 3500.5. What is the second biggest value in -0.04, -0.4, 32, x?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -726, -3\/200, 2, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-1) + -2 - -5. Let v be 4*-2*1*-1. Suppose 0 = 5*j + c*g - 0*g + 13, 0 = -2*j - 4*g - v. Which is bigger: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 742 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: Evaluate (3\/(-9))\/(((-315)\/324)\/(-35)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 314, 902, 1744, 2840, 4190, 5794?\n\"Answer: 127*j**2 + 207*j - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 1. Let a(s) = -2*s - 19. Let n be a(-11). Suppose 2*w - 13 = n*f + 3*w, 3 = -2*f + 5*w. Sort 2, g, f in descending order.\nAnswer: 2, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -20, -24, -30, -38, -48, -60, -74?\n\"Answer: -t**2 - t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -279 - -278.999937. What is q rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -178293.190053 - -178293. Let x = -0.19 - h. What is x rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 6*p + 3. Let u be t(6). Suppose 3*b + 949 = -b - l, -u*b - 3*l = 705. Let x = b + 357. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -3\/4 (c) 0.319 (d) -4\/5 (e) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 312790364 to the nearest integer?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 190 = w + 2*w, b = -3*w + 50. List the prime factors of b.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220100 + 1?\nAnswer: 220101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2282 is divided by 145?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2696415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/4*(-180)\/50. What is the greatest common factor of g and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (4 + 1 + 8 + -14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2519*r**3 - 482*r**2 + 7 wrt r?\nAnswer: 15114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24*i**4 + 112558*i**3 - 20*i - 112558*i**3 - 117 wrt i?\nAnswer: 96*i**3 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**2 + 3*d**2 - 4*d**2 + (d + 2*d - 5*d)*(2 - 2 + 2*d) + (109*d**2 - 226*d**2 + 114*d**2 - 13*d - 2)*(-6 + 0 + 4) as a + r*d + v*d**2 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 581387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 8*j**2 + 8*j - 7. Let v be h(-9). Put 7, v, 4, -2 in increasing order.\nAnswer: -2, v, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 380214, 760177, 1140128, 1520061, 1899970?\n\"Answer: -m**3 + 379970*m + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 17381, 34948, 52707, 70664, 88825?\n\"Answer: b**3 + 90*b**2 + 17290*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 415 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2345173?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80090 is divided by 40031.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 513*n. Let l(s) = -s - 1. What is -2*l(g) + v(g)?\nAnswer: 515*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from spssppspppssp. Give prob of sequence sps.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 6*t - 3*a - 21, -5 = t + 5*a for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.11 + -0.10593. What is h rounded to four decimal places?\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 18 = -p + 6*p, -4*q - 3*p = 106. Let i(b) = -4*b**3 - 14*b**2 + 14*b + 14. Let l(c) = c**3 + 3*c**2 - 3*c - 3. Give q*l(t) - 6*i(t).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, p: 8, z: 4}. What is prob of picking 2 a and 1 p?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.138 (b) -30 (c) 5 (d) 0.3 (e) 726 (f) -2 (g) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*s + x - 7, 4*x - 2 = s. Suppose 3*b - b - s = 0. What are the prime factors of 0 + (-3)\/(-1) + b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 13*h + 1. Let d(w) = 3*w**2 + 28*w + 4. Let z(r) = 2*d(r) - 5*o(r). Suppose 4*c - 29*g - 28 = -31*g, -3*g = 2*c - 10. Give z(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 4*c**5 - 2176*c**4 + 308752*c**3 - 3498688*c**2 + 13721344*c - 18113536 = 0.\nAnswer: 4, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 821450.4 months to centuries.\nAnswer: 684.542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 332\/2490*(-99)\/(-6).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -568353.626 + 568353. Let n = 47 - 140\/3. Is n at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 8 - 2, -38 = -5*s + 4*t. Suppose -m = -s*m. Suppose 2*f = k + 24, -f + 34 = -m*f + 5*k. 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 the highest common divisor of 136 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n - n + n + 2*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + -11. Let c = -7 - n. Solve 17 = -4*o + t, -c = 2*o - 0*t + 2*t for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.5738 and 611.697?\nAnswer: 615.2708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3947 and 2.3?\nAnswer: 9078.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q + 4*q + 6*q**3 - q.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6\/91 - 32\/91. Let f = -9 + 17. Let u be 2\/(-6)*3\/f. Which is the closest to s? (a) u (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**2 + 20*y + 1. Let v(i) = -2*i**2 + 20*i + 2. Give 3*m(b) - 2*v(b).\nAnswer: -2*b**2 + 20*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventy-six fifths of a millennium?\nAnswer: 1520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) 18 (b) 0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/3 + 5345*i**3\/3 - 9272396*i**2\/3.\nAnswer: i**2*(i - 1379)*(i + 6724)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(3 - 1)*-1. Suppose -z*v = 3*s - 20, 2*s - 5*v + 30 = 6*s. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6859, 6871, 6883, 6895, 6907, 6919?\n\"Answer: 12*h + 6847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 3*t - 11 - 4, 4*r + 3*t + 33 = 0 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3049982 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/537347 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -s + 50, -4*s = 12 + 8. What is the common denominator of ((-44)\/(-72))\/b*(-39)\/3 and 31\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4813*v - 447474. Determine t(93).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -693 + 692 - (3 + (-7 - (2 - -2)) + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3781\/11 + 31157\/143. Let h = 126 + v. Which is greater: h or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 7*u - 4. Let p(m) = -10*m + 12. Let g = -4 - -1. Let o be p(g). Suppose -5*z = 2*z - o. What is x(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*j - 5351 - 10033. Suppose -2*l + 1 + 3 = 0. Is (2\/(-2))\/(l\/j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 215053864 and 5.\nAnswer: 1075269320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 - (-4 + 3 + 4) is divided by -1*(-2 - -2) - -18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 + 41. What are the prime factors of f + (128\/3 - (-6)\/(-9))?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 206955\/(-8190) - ((-110)\/(-26) + -4)\nAnswer: -51\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 3 + v + 13)*(1 + 3 - 3)*(-7 - 6 + 2).\nAnswer: -11*v + 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001390002 to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-6)*(-2)\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 174 = 59. Suppose 10 = 2*r - h, 3*r - 2 - t = 4*h. Suppose 0 - 2\/7*j - 8\/7*j**r + 10\/7*j**2 = 0. Calculate j.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from wdwwwwwdw?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - g = 3*r - 2, 0 = -5*g - 3*r - 4. Let t(j) = 3*j - 6. Let d(y) = 8*y - 14. Let v(x) = -2*d(x) + 5*t(x). Calculate v(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -255205 - -5\nAnswer: -255200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/192, 1, 59, 7.3, 0 in descending order.\nAnswer: 59, 7.3, 1, 0, -1\/192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 70 = -50 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88, 67, 46, 25, 4?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 7 = 4*d + 27, 0 = -d + 5*l - 5. Which is bigger: d or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16751 + -14759. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1851, -1851, -1849, -1845, -1839?\n\"Answer: l**2 - 3*l - 1849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 40.74832 grams?\nAnswer: 0.04074832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7174602 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/3)\/(-1))\/((-2678)\/(-116493))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 194569.803us to days.\nAnswer: 0.0000022519653125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -78*q - 61. Let m be j(-1). Solve -21 = -m*d - 106 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.09, 5, 4, 1?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/97757 and -117\/177740.\nAnswer: 1955140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 2 = -3*d + 5, -2*y = d - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 20. Let g(z) = 3*z - 1. Let c(j) = -j - 1. Let l(r) = -6*c(r) + g(r). What is the remainder when l(8) is divided by o(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 1 + 2 = 5*m, 2*m - 2 = 0. Is b >= 7\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 2*p**2 + 1. Let g be 3\/3 + 0 + -2. Let a be c(g). Solve a = 3*u - 12 - 3 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*a = -38*a + 192 + 342. Let f = 88 + -34. What is the lowest common multiple of a and f?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 14 = -4*u + 6, 5*u - 20 = -o. Suppose 0 = 20*x - 12*x - 48. Solve j = u*j - x for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1688042 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6080 - -12800. Calculate the greatest common factor of 14 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2, -1\/95, 1\/8, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tkkbtboggbggthb. Give prob of picking 1 t, 1 o, and 1 k.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of d**6\/20 + 3*d**5\/20 - 16*d. Determine g, given that w(g) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m**2 - 148*m + 12. Let n(c) = c**2 - c + 5. Determine -g(s) + 2*n(s).\nAnswer: -3*s**2 + 146*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9340\/463 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/1)\/(28\/(-56)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -238951013 and 13.4.\nAnswer: -238950999.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 3*j = 11 - 1, 5*i + 17 = 3*j for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38085 = -163*p + 298433 + 35008. What are the prime factors of p?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-14))\/((-8)\/(-16)). Which is the second smallest value? (a) 2 (b) s (c) -3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z + 45*z**3 + 49*z**3 - 144*z**3 + 48*z**3 - 2*z**4 - 1 + 7*z**2 in the form l + i*z**4 + m*z**3 + w*z**2 + b*z and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -9. Which is the closest to 0? (a) -0.3 (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -806, -3209, -7218, -12833?\n\"Answer: -803*x**2 + 6*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 262 divided by 17723.\nAnswer: 262\/17723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 8 = q. Let u = -0.28 - 0.22. Let m be 1 + (-1 - 1) + 5. Which is the second smallest value? (a) q (b) u (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -734 or -812?\nAnswer: -734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 29, 81, 161, 263, 381?\n\"Answer: -g**3 + 20*g**2 - g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ib when two letters picked without replacement from {b: 1, o: 1, i: 1, n: 1, r: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 (base 11) in base 10?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1, 70, 193, 362, 571, 814, 1085?\n\"Answer: -b**3 + 32*b**2 - 18*b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4349783891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) 83 (c) 3.6 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/22248 and -167\/2760.\nAnswer: 2558520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1177\/6 + 2345\/12. Put 0.2, -6, 1, -3, f in decreasing order.\nAnswer: 1, 0.2, f, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + s - 7 = 3*i, -9 = -s + 5*i. Suppose -9 - 7 = -s*c. Let o(v) = -c*v + 1 - 1. Let h(g) = -g. What is h(o(b))?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -135, 3\/8, 1\/4, 6942?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2)*24\/(-6). Does 34 divide (2 - 3)*(-142)\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318759 <= 318797?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/154 and 169\/2428566.\nAnswer: 26714226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pjjd when four letters picked without replacement from {j: 2, p: 5, d: 4}?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.069, 0.2, 5, -2, -1, 4 in ascending order.\nAnswer: -2, -1, -0.069, 0.2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 11, a: 2, x: 7}. Give prob of sequence aaq.\nAnswer: 11\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 6*c - 6. Let m be a(-6). Let g = -2 - m. Suppose 6 + 0 = 2*d. Calculate the remainder when g is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 2 (b) 2\/9 (c) 21 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33135352 + 10?\nAnswer: -33135342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 - 2*w**2 + 88436 - 88436.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 131612 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -450 (base 6) to base 16\nAnswer: -ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -102222475*s**5 + 11339*s**2 - 1465*s.\nAnswer: -6133348500*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 195, 1188, 3779, 8736, 16827, 28820, 45483?\nAnswer: 67584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -23*l + 5. Determine d(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 983, 926, 915, 1016, 1295, 1818?\nAnswer: 2651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -1 - (15 + -5 + -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3997*z**4 + 3135*z**4 + 2374*z**4 + 1104*z**2 wrt z?\nAnswer: 228144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56182 + 272*n**2 - 56182 to the form z*n**2 + p*n + r and give z.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 5*b + 92. Put 3, 6, b in increasing order.\nAnswer: b, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t - 4. Let y(r) = -r**3 + 5*r**2 + 7*r - 3. Suppose -s + 3 = -3. Let x be y(s). Is 8 a factor of d(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -291, -521, -903, -1437, -2123?\n\"Answer: -76*z**2 - 2*z - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/8 (b) -2 (c) 1 (d) 45.7 (e) 0.5 (f) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2011?\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 2*d + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1767 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - (-2 - 6))\/(-1 - 1). Is 270313\/(-95)*m*1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -192, -188, -182, -174?\n\"Answer: x**2 + x - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(176) - 1*sqrt(176)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 113721 = 4*n - 7241, 0 = z - 2*n - 26617. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7654773 kilometers in micrometers?\nAnswer: 765477300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**4\/4 - 2*o**3 - o**2 + 30*o + 31. Let p be z(7). Let s = -62 + p. Calculate the greatest common divisor of 33 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 7521936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 127001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((-6)\/(-4) - (-1)\/2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, -2, -1, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -10*v**2 - 1787*v - 139. Give z(-179).\nAnswer: -676","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81 - 66. Let d = 186 - 51. What is the highest common divisor of d and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 382 - 94. Suppose k = -f + 10*f. Let d(n) = -n**2 - n - 1. Let c(u) = -12*u**2 - 8*u - 8. Give f*d(m) - c(m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33032 - 32926. What is the remainder when 138 is divided by s?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**5\/(g\/g**(-3\/11))*(g\/(g*g**(2\/13)))\/g**(-2\/11) assuming g is positive.\nAnswer: g**(537\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 72*b**3 + 6*b**2 - 8*b + 1. Let r be a(1). Let p = 85 - r. What is the highest common divisor of p and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*y - 60. Suppose -4*i - 25 = -9*i - 3*h, -3*i - h = -y. Find the third derivative of -i*c**2 + 2*c**2 - 2*c**2 - 13*c**3 wrt c.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/4931 + 39458\/24655. Let 8\/15*a - 2\/15*a**2 + n = 0. Calculate a.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 495\/2 + -27041\/110. Let g = w - 14\/11. Which is the closest to g? (a) -5 (b) -0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 820119 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: What is the next term in 281, 197, 113, 29, -55, -139?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 4:58 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.39 * -7.1\nAnswer: 2.769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1352)\/(-2535) + (-1)\/5. Which is the nearest to p? (a) -33 (b) 0.8 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 7*o**2 - 5*o - 1. Let r be h(6). Let u be (-12)\/4*4\/14. Let x = u + 44\/35. What is the second biggest value in -0.4, r, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 344 divide 281180096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (4 - 9 - -3) + 28 + 2 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dmqqdmddi. What is prob of sequence dmq?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (2 + 1 + 22 + -25).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99277 is divided by 1462?\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 285 = 3*q - 410, -5*q = -5*s - 1125. Which is bigger: 225 or q?\nAnswer: 225","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 10*o**2 + 12*o - 7. Let u be ((-22)\/3)\/((-10)\/15). Let z be v(u). Calculate the greatest common factor of 18 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = f - 35, -233 + 78 = -5*f + 5*a. Let u = -45 + 100. What is the remainder when u is divided by f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45921, -49127, -52333, -55539, -58745, -61951?\nAnswer: -65157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32691469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 578 is divided by 571.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*d + 31*d + 14 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s - 12. Let j be v(6). What are the prime factors of j - 0 - (40\/(-8) - 1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 o, and 1 x when four letters picked without replacement from tcwgxcoox?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4788 (b) 0 (c) 5 (d) 1 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/23)\/(l*l**(-4))*l**(-2)*l*l\/(l\/l**(-2))*l*(l**2*l**(-11))**(18\/13) assuming l is positive.\nAnswer: l**(-3401\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -1\/2*s**3 + 0 - 1\/2*s**2 + 2*s. Let y(f) be the first derivative of 2*f**2 + f - 220. Determine -3*l(t) - 2*y(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bgppgbppb. What is prob of sequence bpg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - n + 17. What is k(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 5*d - 17, -5*d = 2*r - 22 - 7. Solve 27 = 5*q + r for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 3*y - 7. Suppose 0 = 3*g - 34 + 49. Let b be z(g). Find k such that 0 + 0*k + 0*k**2 - 4\/3*k**b + 2\/3*k**4 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 5*h - 24, -9*i + 5*h = -4*i + 30. Let a be (-4)\/(-18) + (-11 - (-11022)\/1026). Which is greater: a or i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 8:20 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*m**3*p*w - 11*m**3*p - 20*m**3 + 168*m*p**2 - 2*m*p + 22841*p**2*w - 3*w with respect to w.\nAnswer: -3*m**3*p + 22841*p**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 0 + 2*u**2 + 4\/3*u**3 + 2\/3*u = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, m: 2, s: 4, o: 1, h: 3, q: 3}. Give prob of picking 1 s and 1 o.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 174709 times -4.3\nAnswer: -751248.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2573*z + 1775. Is h(7) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24940*h - 25612*h - 16128 = 0 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003217 rounded to five decimal places?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/263 in 1\/6, 0.3, -5, 1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-7 - (0 + (-6 - 2)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 7:24 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3.5 (b) 1 (c) 7 (d) -7\/4 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 29, 219, 741, 1763, 3453, 5979?\n\"Answer: 28*g**3 - 2*g**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 27*j = -14*j + 67*j - 1269 for j.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 116, 483, 1086, 1919, 2976, 4251, 5738, 7431?\n\"Answer: -r**3 + 124*r**2 + 2*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 20, 2\/11, -0.2, 3\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 8*n**2 + 7*n. Let p be b(7). Solve 7*x - 12*x = p for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 567 is divided by 190.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9469, 10195, 10921?\nAnswer: 11647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -33*t - 344. Let g(n) = 93*n + 1030. Calculate -6*g(x) - 17*q(x).\nAnswer: 3*x - 332","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 19, 11, 3, -5?\n\"Answer: -8*y + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, q: 2, u: 4}. Give prob of picking 1 u, 1 x, and 2 q.\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65353*z**2 + 1262223*z.\nAnswer: -130706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, v: 3}. Give prob of sequence qq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297)*-6)\/(-2*(sqrt(3)*2 + sqrt(3))).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -c**5\/10 + 5*c**4\/8 - 4*c**3\/3 + c**2 + 14. Find n such that p(n) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 1710*k**2. Let b(a) = 6*a**2. Give b(z(x)).\nAnswer: 17544600*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/(-10))\/(17\/(-425)). What is the highest common divisor of l and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 2*h**5\/5 + h**4 - 2*h**3\/3 - 2*h**2 + 28. Find x, given that r(x) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44546693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2130990124?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/2 of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 600888, -4, -2, -0.3, 1?\nAnswer: 600888","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21517*c*r + 950481*c - 3*r wrt r?\nAnswer: -21517*c - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 8 + 4 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5831065 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 11:41 PM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6223.554kg to tonnes.\nAnswer: 6.223554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2 + q + 2. Let t(f) be the third derivative of f**5\/15 - f**4\/24 - f**3\/2 - 14*f**2. Determine 3*t(c) + 5*u(c).\nAnswer: 2*c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**3 + 12*t**2 - t - 8. Let z be c(6). Sort 1, 6, 5, z in decreasing order.\nAnswer: 6, 5, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -292*b + 323*b - 899 for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 34 = f + 7, 5*z - 5*f = 65. Suppose -45 = -z*t + 11. Let c be t\/(-28) + 1\/7. Solve c = -0*h + 3*h - 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43812 divided by -10953\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297574 is divided by 2946.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 2*v + 4*w, -3*v - 2*v - 4*w + 208 = 0. What is the remainder when v is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70\/(-420))\/((-1421)\/(-174)).\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2. Let u(f) = 5*f**2 + 4*f - 4. Let c(b) = u(b) - 4*z(b). Is c(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of 11*i**6\/40 - i**4\/12 + i**3\/3 + 2*i**2 + 106. What is the second derivative of w(u) wrt u?\nAnswer: 198*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9423053?\nAnswer: 89, 239, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 438 + 409 = 7*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.4 - 9.353. Let s = 1.847 - n. Let l = -1.8000125 + s. Round l to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -108 divided by -34\nAnswer: 54\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/15)\/(-16 + 31968\/2000). Suppose -6 = -2*t + 4. Solve -t*g + s = -10*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 220260*b - 220380*b + 17 + 0 as h*b + i and give h.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.5, -11, 2\/5, 2\/15, 0.96?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.582 + 3.418. What is the nearest to -0.3 in 0.7, d, 5, -14?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 - 11*q**2 - 3*q**2 + q**4 - 2*q + 8 - 14*q**2 - q**3 to k*q**3 + u*q**4 + o*q + i*q**2 + l and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4549268671?\nAnswer: 103, 44167657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmm. Give prob of sequence mm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o - 3 = -11*o, 3*k - 24 = 4*o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*r = 2. Find the first derivative of 48*v**2 + v**4 + 9 + 5*v**4 - 48*v**r wrt v.\nAnswer: 24*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + a = -103822 - 97279, 402198 = -4*i + 2*a. What is i rounded to the nearest one thousand?\nAnswer: -101000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -2*c + 70. Calculate the remainder when c is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 102 + 5?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**2 + 166*f - 280. Give y(54).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c = -2*c - 36 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.6 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1451356 divided by 18.\nAnswer: 725678\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 68*b**2*p*w + 461842*b**2*w - 973320475*p*w wrt b?\nAnswer: 136*b*p*w + 923684*b*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5 = -1. Suppose 0*w + 7 = w + b, -b = -s. Calculate the remainder when 6 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-105))\/((-5)\/((-105)\/(-18)))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 6 = -3*n. Let r(i) = -i + 2. Let b be r(n). Let z = 3 + b. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -49.38 and -111.\nAnswer: 5481.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588983 is divided by 3403?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 31\/5 of a milligram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 12*t**2 - 17*t - 17. Is 16 a factor of z(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/(-14) - 171\/399\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence beoo when four letters picked without replacement from zoyyeozbtezboo.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 480 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + -5 + 4 + (5 - 5).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*v - 15 = -159*v + 74*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 71 - 46. What is the greatest common factor of c and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**2 + 3 - 613*r + 612*r + 5*r**3 - 3*r**3 as p*r**2 + t + m*r + w*r**3 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -17, -559, -2, -8 in decreasing order.\nAnswer: 2, -2, -8, -17, -559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 18*x - 27*x - 2 + 19*x + 3*x.\nAnswer: 13*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1159, -4847, -11009, -19657, -30803, -44459, -60637?\n\"Answer: -2*v**3 - 1225*v**2 + v + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (69 + -69)\/(-3 + 2). Solve 2*w + 3*t = -0 - 4, -5*w - 5*t - 10 = s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 2. Let r be u(-6). Let m be 2 - r\/(-2 - -6). Find the first derivative of 10*c**2 + 0*c**2 + 4 + 2 + m wrt c.\nAnswer: 20*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542400 is divided by 16584.\nAnswer: 11712","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6394834850 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 15.1. Let a = -4.01481 + 0.01481. What is the closest to q in -2\/7, -1, a?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14762 is divided by 85?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3 + 309*s**2 + 3024*s.\nAnswer: -3*s*(s - 112)*(s + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 715769607 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: Calculate 3526.2 - 0.7.\nAnswer: 3525.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 75\/(12 - (-605)\/(-50)). Is u at most as big as -750?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 565429461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3153 + -10?\nAnswer: 3143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 11 = -g, 13 = 5*p - 5*g - 22. Let o(v) = -11*v. Let s(i) = 4*i + 11. Let m be s(-5). Let k be o(m). What is the highest common factor of k and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - ((6 - -9) + -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1507505 and 215?\nAnswer: 64822715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6608 - -6619. What is the closest to k in 1, 0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p - 3. Let m(z) = -2*z**2 + 36*z + 10. Give m(h(a)).\nAnswer: -18*a**2 + 144*a - 116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -7a080a?\nAnswer: -7a0812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ell when three letters picked without replacement from {l: 5, e: 15}?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 3*k - 4 - 43, 5*k - p - 69 = 0. Let x = 1 - 1. Suppose x*v + 2*v = 10. What is the remainder when k is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5 + 6 = -n, -n = -3*r + 7. Let a(x) = x + x**3 - 2*x - x + x**2 - 2*x**2. Let v be a(r). Solve -4 + v = 4*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 o when two letters picked without replacement from {n: 1, r: 8, o: 8, y: 1, m: 1}.\nAnswer: 64\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -u + 4*v - 126, -2*u - 4*v + 60 = 0. Calculate the remainder when -3 - (16\/(-2) - 124) is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493\/174 + (-2)\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/3065?\nAnswer: 1\/3065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(384) + -6*sqrt(384)*-2 - -6*sqrt(384)*-1)\/(-5*sqrt(10)\/sqrt(5) - sqrt(18)*-5))**2.\nAnswer: 2352\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 115 in 5, 1\/2, -3\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + -1 + 0 + 13. Let y be 9\/u - (-2)\/5. Suppose w - 1 = y. Solve -g + 0*g - w*m - 4 = 0, -5*g + m + 13 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/4*(-9)\/27. Let a = 43 - 48. What is the closest to q in a, 0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 624.9 - 599. Let w = d + -26.9. Which is the closest to w? (a) -0.06 (b) -0.2 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100 - -167. Suppose 5*s - 13 = h. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-2)*-4)\/9. Let k = -0.6 + 0.3. Let z = k - -0.7. Which is the closest to 0? (a) s (b) -1\/2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -612543237*a**3 - 9*a - 54644783 wrt a.\nAnswer: -3675259422*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 7, z: 3}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 6951.\nAnswer: 6951","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 2:50 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -8*c**3 + c + 1. Let w(o) = o + 30. Let v be w(-16). Let m = 13 - v. Determine y(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2848 divided by 2?\nAnswer: 1424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 130 = 5*n - 66, -4*n - 3*d + 156 = 0. Let l be (n\/(-3))\/(1 + 15\/(-6)). Solve 3*s + l = -1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 3 = 4, -5*r - 55 = 4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6048813 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4*(sqrt(1088) + -1) + -1 + sqrt(1377) + 2).\nAnswer: -15 + 205*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rttlutz. What is prob of sequence uttz?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1331320112220 + -12?\nAnswer: -1331320112232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1530436447 to the nearest integer?\nAnswer: 39121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 5*t = 2*m - 46, -3*m + 22 = 2*t for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h - h - 7*h - 10*h - 3*h + 4*h + (-2 + 2 - 2*h)*(-2 + 4 + 0) + 4*h - h - h)*(-2*h + h + 2*h) in the form u*h**2 + s + t*h and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 18. Calculate the smallest common multiple of g and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11864311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 137296201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-7 - 9 - -6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1291768781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6621118 hours to nanoseconds.\nAnswer: 2383602480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in sixty-four fifths of a millennium?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -936, -938, -940, -942, -944, -946?\nAnswer: -948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**5*z))\/(z*z*z\/(z**(-12)*z))*(z*z**(-22))\/z*z**(-2\/25) assuming z is positive.\nAnswer: z**(-1027\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 798124 is divided by 1302?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 22 = -3*o, -101*i + 8*o = -100*i + 10*o - 7 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -420 + 155500?\nAnswer: 155040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(66)*1 - sqrt(66)) + sqrt(66))\/sqrt(6) + -5 + -1*-3*sqrt(11).\nAnswer: -5 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3328771 to the power of 1\/2, to the nearest integer?\nAnswer: 1824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 6*v**2 + 2*v - 9. Suppose -7 = -3*u - 22, -4*f - 4*u - 20 = 0. Suppose f = c + c - 12. Calculate the smallest common multiple of k(6) and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.23 + 0.2172. What is t rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 640764 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 324 divided by 2.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**3 + f**2 + 3*f - 4. Let o(u) = 4*u**3 - 3*u + 4. Let j(g) = -3*n(g) - 2*o(g). Let a be j(4). Do 9 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + q - 2*q + 3*q)*(-787 + 39*q - 41*q + 31).\nAnswer: -4*q**2 - 1510*q + 756","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/403 + 773\/4433. Solve 2\/11*p + 0*p**2 - h*p**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30485 and 2730?\nAnswer: 182910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 320 - 260. Calculate the lowest common multiple of 72 and y.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 676979976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2 + x**2 - 15*x + 11 - 14 - 7. Let n be q(-14). What is the third derivative of -2*o**2 - o**n + 2*o**4 + 3*o**4 wrt o?\nAnswer: 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -63306, -63701, -64096, -64491, -64886, -65281?\n\"Answer: -395*d - 62911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/(-6))\/(7\/14). What is the second derivative of -y - 4*y - 5*y - 13*y**4 - f*y wrt y?\nAnswer: -156*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 633008 divided by -40.\nAnswer: -79126\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of b**5\/60 + b**4\/6 + b**3\/3 + 3*b**2. Is y(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -80*c + 36. Let a be i(-7). Let r = -593 + a. Let j(h) be the first derivative of -h**4\/4 + 2*h**3\/3 + h**2 + 3*h + 2. Calculate j(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -33066, -33066, -33086, -33138, -33234, -33386?\n\"Answer: -2*c**3 + 2*c**2 + 8*c - 33074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1318?\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3630 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l + 7*l**3 + 32*l - 5*l**3 + 41*l.\nAnswer: 2*l**3 + 76*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68 + 61.4. Let y = 6.542 + q. Let s = y - -0.058183. Round s to 5 dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 7. Let a(c) = -2*c**2 + c - 4. Let l = 0 + -1. Let z(u) = -u**2 + u. Let r(j) = l*a(j) + 3*z(j). Determine r(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5529433?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9818607 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-20) + 875\/100?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 - 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*v**2 - 4*v**2 - 2*v**2)*(-186*v + 66*v - 4 + 5) in the form s + f*v**2 + p*v + w*v**3 and give w.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2*((-5 + 2 + sqrt(720))**2 + sqrt(720)) + (3 + (0 + sqrt(720) + 3 - sqrt(720)))**2.\nAnswer: -1421 + 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -0.3247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -4\/3 (b) 1\/8 (c) -0.1934\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a millennium in centuries?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/120)\/(3\/40)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/6)\/(3\/36). Let c be 3 - ((h - -4) + -1). Solve 12 = -c*t - 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-15)*(-2)\/4. Put -1, 2, n in decreasing order.\nAnswer: 2, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/1*(-2 - -1). Suppose -2*k + 18 = k. Suppose 5*h - 2*t = -10, 5 = k*t - 5*t. Solve f*x + 4 - 14 = h for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 8 + 3)*((b + 3*b - 6*b)*(-3 + 3 - b**2) + b**2 - b**2 - 6*b**3) as j*b**2 + m + y*b + o*b**3 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1001 is divided by 121.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1430675 divided by 4\nAnswer: -1430675\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 29 * 0.3\nAnswer: 8.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zwhhhmmwz. Give prob of sequence wwh.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -1.33094634797?\nAnswer: -1.66905365203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4 + 3 = 0. Let v(d) = -d**2 - 17*d - 14. Let z be v(g). Let f = z - 32. Solve 3*s + r = 11, -f = -4*s - 0*r + r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9458 + 10640252\/1125. Calculate the common denominator of n and -59\/875.\nAnswer: 7875","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 minus 1116326?\nAnswer: -1116325.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4901303t to grams.\nAnswer: 490130.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((-2 + sqrt(175))**2*5 - sqrt(175)) + -1*(1 + sqrt(175)))*-6 + 1 + -1.\nAnswer: -5362 + 660*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/((sqrt(121)*2)\/sqrt(11)) - (3 + sqrt(22)\/sqrt(2) + sqrt(44)\/sqrt(64)).\nAnswer: -3 - 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f. Let h be b(-1). Suppose -z = -h*z + 8. Let j(r) = -r**3 + 5*r**2. Let s be j(z). Solve -l + s = -5*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 6*w + 22. Suppose w*d - 264 = 2*d. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 66*h - 63*h - 12. Solve 0 = h*j + 3*s - 23, 5*j + 5 = 3*s - 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2. Suppose 2*b = -4*b - 42. Let d(i) = 28*i + 7. Let k(h) = 9*h + 2. Let g(r) = b*k(r) + 2*d(r). What is t(g(w))?\nAnswer: 49*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2. Let v(f) = -2*f**3 + 6*f**2 + 7*f. Give v(q) + 6*y(q).\nAnswer: -2*q**3 + 7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 111000111110 (base 3) to base 12\nAnswer: 104356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**3\/t**(-1\/14))\/(t**(-6)*(t*(t*t\/t**(-7))\/t*t)\/t)*(((t**(-5)\/t)\/t)**(25\/6))**47 assuming t is positive.\nAnswer: t**(-28786\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from byylblglllgbl. What is prob of sequence lbl?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 2*m + 18 = 0, 5*g + m + 3 = 24 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.5 + 55.5. Let t = 48 - z. Let a = 2 - -5. What is the biggest value in t, a, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -10*q**2 - 363*q - 110. Calculate b(-36).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -n + 3, 3*n - 11*p - 2*p = -0*n + 39*p - 376 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5355968 and 72634?\nAnswer: 3158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*j**2 + 30*j**2 - 14*j + 21*j.\nAnswer: 43*j**2 + 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335912 is divided by 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 208, 228, 270, 346, 468, 648?\n\"Answer: 2*x**3 - x**2 + 9*x + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17355, 17357, 17357, 17355?\nAnswer: 17351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from www?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -4*l - 12. Suppose 4*o + 6 = -l. Let c be (-2)\/(-2 + 0) - o. Solve 0 = -5*y + g + 19, 1 = c*g + 17 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (88\/(-32))\/11*(210\/280 + 845\/4).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 75 and 702?\nAnswer: 17550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 866385?\nAnswer: 3, 5, 13, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 - (6 + -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**4\/3 + 78*j**3 - 7436*j**2 + 615160*j\/3 - 1827904 = 0. Calculate j.\nAnswer: -312, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -50029774 > -50029784?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 377*l + 5249. Let v be c(-7). What is the greatest common divisor of 720 and v?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 298550 and 4265.\nAnswer: 298550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 0 + 0*s**3 - 1\/56*s**8 - 17*s + 0*s**2 + 7\/6*s**4 + 0*s**7 + 0*s**6 + 0*s**5. What is the third derivative of y(w) wrt w?\nAnswer: -120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**2\/2 + 27*o - 52 = 0. Calculate o.\nAnswer: 2, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 475b23 (base 13) to base 15.\nAnswer: 238182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3463552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1138\/28)\/((-46)\/92). Let w be (-2)\/2*(-1 - 80). Let c = w + l. Which is greater: c or 5\/18?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2 - 30*r**2 - 4891*r**6 - 1 + 5027*r**6 wrt r?\nAnswer: 16320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**3 - b**5 - b**3 + (-9*b - 4*b**3 + 9*b)*(b**2 - b**2 - b**2) - 2*b**5 + 0*b**5 + b**5 + b**3 - 3*b**5 + 6*b**5 - 2*b**5.\nAnswer: 3*b**5 + b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -187, -4\/3, -1\/2, -0.4 in decreasing order.\nAnswer: -0.4, -1\/2, -4\/3, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -7*h**2 - 130*h + 204. Let b be v(-20). Determine p so that 0 + 2\/7*p**b + 24\/7*p**2 + 12\/7*p**3 + 16\/7*p = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 333 and 1455.\nAnswer: 161505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 100 = 4*l. Suppose -4*s + l = s. Suppose 2*c - 4*w = 224, c - s*c + 351 = -w. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16b0c9 (base 15) to base 4\nAnswer: 10030222113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 3:37 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284763 is divided by 62.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-14 + 46 + -1).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1197\/(-5187)*(-78)\/8.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -31*c**2 + 1. Let t(g) = 62*g**2 - 3. Let s(q) = -2*t(q) - 5*x(q). Find the first derivative of s(j) wrt j.\nAnswer: 62*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156, -543, -1166, -2007, -3048?\nAnswer: -4271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3533 + 5836 = -256*h + 3481 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, f: 14}. Give prob of sequence uuf.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146 + 66 + 80 + 3878*u**2.\nAnswer: 3878*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 777 a factor of 235038615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -200, -386, -582, -788?\nAnswer: -1004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyykyyykkyykyyyyk. Give prob of picking 2 y.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7692897 bigger than 7692899?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 31*g**2. Let m(s) = -15*s. Give y(m(q)).\nAnswer: 6975*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 17 - (1 - -3). Let j(c) = -3*c + 6 - x + 8. Let l(y) be the first derivative of 2*y**2 + 5. Calculate j(l(q)).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6422481 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (3 + -2) - (20 + -6 - 4)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -5 + 1 + -6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 105.939 + -106. Let p = o + 0.06099999. What is p rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 5*v**2 - 5*v - 40. Let j(a) = a**3 + 4*a**2 + 4*a + 38. Determine 6*j(k) + 5*y(k).\nAnswer: k**3 - k**2 - k + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 4*n + 7. Let x be l(5). Suppose -3*h + 4*z + 21 = 0, x*h + z - 3 = -0*z. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, -0.5, 0.3, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bdc when three letters picked without replacement from {d: 7, c: 2, b: 7}?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 278 + -197. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10102010202 (base 3) in base 7?\nAnswer: -366554","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 64118671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from {q: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/10 + 33\/6. Solve 3*x = t - 9 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -10, 22, 225 in ascending order.\nAnswer: -10, -2, 2, 22, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 278984*d**3 + 725964 wrt d?\nAnswer: 836952*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**3 - 6*g**2 - 1. Let i(p) = -p**2 - 1. Determine -5*i(j) + z(j).\nAnswer: -2*j**3 - j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51759 and 2007?\nAnswer: 11542257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21047\/426 + 20\/213. Let f = -1339\/36 + -49\/4. Let d = f + l. Is -1 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1211774 rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6555400 rounded to the nearest 100000?\nAnswer: -6600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 59043840?\nAnswer: 59043840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 4*h = 31, 2*j + 26 = 9*h - 5*h for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4207318 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00070061 to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 5 (c) 3\/7 (d) -1 (e) -1.36534 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvvm when four letters picked without replacement from {f: 2, n: 1, v: 2, i: 2, h: 7, m: 2}.\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - -1)\/((-6)\/12). Let n(s) = s + 1 - 4 - s**3 - 4*s**y + 0*s. Let j(x) = 5*x + 1. Let p be j(-1). What is n(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143556843269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49093.42um to kilometers.\nAnswer: 0.00004909342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 26*d**2 - 199*d - 20. Let k be g(7). What is the greatest common factor of 1802 and k?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -752, 5, -2 in ascending order.\nAnswer: -752, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.4, 0.09, 7 in descending order.\nAnswer: 7, 0.4, 0.09, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2 = u. Let p be ((-40)\/(-15))\/(2\/21). Factor 4*m**4 - p*m**u - 13*m**4 - 11*m**3 - 19*m**3 - 8*m.\nAnswer: -m*(m + 2)*(3*m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k. Let f(p) be the second derivative of -2057*p**3\/6 - 2418*p. Calculate h(f(m)).\nAnswer: -2057*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -150102*z**4 + z**3 + 4*z**2 + 2*z + 196165 wrt z.\nAnswer: -1801224*z**2 + 6*z + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of 79*j**5\/120 + 29*j**3\/3 + 82*j. Let k(q) be the second derivative of m(q). Let l(o) = o**2. What is k(l(z))?\nAnswer: 79*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(30\/5)*5*111.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5 + (sqrt(1300) - sqrt(1300)*-1)**2)*3*-3 + 4.\nAnswer: -46850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219779 is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of 0*k + 0 + 1\/6*k**3 - 1\/24*k**4 + 2*k**2. Let q be u(-6). Solve -q*r = -2*r + 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 4*i**2 + 0*i**2)*(-13 + 25*i - 25*i + i**2).\nAnswer: 2*i**4 - 26*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, m: 3, s: 4, g: 1, v: 1, w: 6}. What is prob of picking 1 s, 1 v, 1 d, and 1 g?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -310.156 + -0.79801403?\nAnswer: -310.95401403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 605934361 to the power of 1\/3, to the nearest integer?\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/2 + 6 + -100. Let k = -281 - y. Let o = -2519\/14 - k. What is the common denominator of o and 101\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (33 + 22)\/5 + (-6)\/1. Solve -4*x = -2*h + 8, -2*x + 0*x - 4 = -m*h for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n + 56. Let r be k(17). Solve -4*h = 3*z - 6, -h - 16 = -3*h + r*z for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1051?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - -3*8\/12. Suppose 0 = d + h*b - 62, -b + 4*b = 6. Calculate the remainder when d is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-21)\/(-9) + (-4)\/(-6). Let m be 10 - (-3)\/t*2. Let g = m - 0. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 994896 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8b8 - 15c196?\nAnswer: -15b5ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2391 - -38.2391. Let q = -28 + -5. Let h = q + n. What is the third smallest value in -1\/10, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-8)\/(-6))\/((-7)\/(-14)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.98 + 0.27. Let z = 47956944.71000163 + -47956943. Let d = i + z. What is d rounded to seven dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, l: 7}. What is prob of picking 1 g and 2 l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 3. Let a be h(-5). Suppose -a*m + 12 = 3*k - 2*k, 3*k = 3*m - 9. Let x be ((-200)\/150)\/(2\/30*-1). What is the highest common divisor of k and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 95 = -5*w, 0 = 23*v - 256489*w + 256485*w - 152 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 4*v - 4*v)*(-2*v**4 + v - v) - 3*v**5 + 5*v**5 - 5*v**5 - 2*v**5 + 0*v**5 + 4*v**5 + (-2 + 2*v**3 + 2)*(-6*v**2 + 2*v**2 + 2*v**2) + 1 - 1 - v**5.\nAnswer: -8*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1064089\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 3*o - 2. Calculate the remainder when 74 is divided by b(5).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 51.06571 weeks?\nAnswer: 8579.03928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1990456957 to the power of 1\/3, to the nearest integer?\nAnswer: 1258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 797942985 to the power of 1\/5, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -376 + -44420.\nAnswer: -44796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {v: 3, x: 1, p: 3, g: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00599945 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*y = -8*d - 85*y + 76, 2*y - 28 = -3*d for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 149.7991ml to litres.\nAnswer: 0.1497991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8964 and 23292?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60\/55697 or 0?\nAnswer: -60\/55697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144 = -20*z - 4*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6353963 divided by 3227?\nAnswer: 1969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1990 divided by -11743?\nAnswer: 1990\/11743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.247 in 1\/8, 0.183, -120?\nAnswer: 0.183","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -85*x**4 - 9*x**2 - 30*x + 21. Let w(a) = -17*a**4 - 2*a**2 - 6*a + 4. Let j(p) = -2*m(p) + 11*w(p). What is the second derivative of j(o) wrt o?\nAnswer: -204*o**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 2002.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 2*c + 3, -4*a - 8*c - 8 = -11*c. Let p(s) = -9*s - 2. Let d(l) = 4*l + 1. Let r(m) = a*d(m) - 3*p(m). Give r(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -600*r - 3. Let m be o(-2). Let u be (-1 - -2) + (m - 0). Calculate the common denominator of -55\/4 and (-2)\/5 + u\/(-180).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 7*c + 12 = 0. Suppose -z + 5*z = -16. Sort c, z, -2 in descending order.\nAnswer: -2, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -7*p - 1. Let q(m) = -29*m + 14. Let s(c) = -4*c + 2. Let z(u) = -5*q(u) + 35*s(u). Determine n(z(k)).\nAnswer: -35*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = q + 4*z - 9, z = -2*q + 9. Let d(h) = 3*h - 6 + 0 + 4 + q. Suppose -4 = -i + 2*o - 10, 0 = -5*o + 10. Give d(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/8)\/((-15)\/(-8) - 2). Let j = 2 + v. Suppose -5*a - 2*m = 1254, j*a - 5*a = 4*m + 258. What is a rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5\/6 - 77\/30. What is the common denominator of d and -5\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.12091 and -0.0941999.\nAnswer: -0.2151099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42.11822 + 0.01322. Let v = -42 - s. Let t = 6.995 + v. Round t to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a - 5*a + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -32334 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*((c**(-9\/7)*c*c)\/c)\/c)\/((((c\/c**(-9\/7))\/c)\/c)\/c) assuming c is positive.\nAnswer: c**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/2 + 61137*o\/2 - 183393.\nAnswer: -(o - 61131)*(o - 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 17*j**2 - 16*j + 7. Suppose -p - 43 = -2*n - 4*p, -4*p + 125 = 5*n. Suppose -5*c - n - 51 = 0. Let v be t(c). Solve -v + 22 = -5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {a: 3, h: 4, l: 4, v: 6}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.89 + 0.06. Let r = 0.55 - z. Is -0.35 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-104)\/26*1*(-1)\/(-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 4\/4 + -87. What is the units digit of (-1)\/(2\/j) + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145346248.\nAnswer: 2, 18168281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 100000111000111 (base 2) in base 14?\nAnswer: 61cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 7:13 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 9*g**2 - 3*g + 7. What is m(9)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 13 - 4 = -4*k, 2*k = -2*z. Let f(d) be the second derivative of -d**4\/6 - d**3\/2 + 3*d**2\/2 - 519*d + 4. Calculate f(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -5626, -6 in increasing order.\nAnswer: -5626, -6, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 101, -3\/629, -4\/17 in decreasing order.\nAnswer: 101, -3\/629, -4\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 8*q**2 - 6*q + 9. Let v be z(-7). Solve a**4 - 8*a**v + 4*a**5 - a + 8*a**4 - 3*a - a**4 = 0 for a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*s = s - 26 - 40 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + sqrt(128)\/sqrt(100))**2 - (sqrt(32) - (-2*(sqrt(32) - (sqrt(32) + 4)) + sqrt(32))).\nAnswer: 1352\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/9, 5, -1.2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1480840 greater than -1480840?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (3 + 14\/((-4)\/2)). Differentiate 2*v + 3*v**2 - 2*v**f + 6*v**2 + v**2 + 12 wrt v.\nAnswer: 16*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 26 - 8 = 8*u, 4*u + 32 = 4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - -17. Let n = d + -28. Put -1, n, -0.5 in descending order.\nAnswer: n, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 9*w + 10. Suppose q = 5*y + 17, -y + 1 = 6. Let t be x(q). Suppose -t*u = u + 18. Which is smaller: u or -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -5*x + 16, 4*x + 10 = -2*f. Let y(j) = 4*j - 28. What is y(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14843584 divided by 31184\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is 3059 times 1.7?\nAnswer: 5200.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 5*h - 20. Let l be (3\/2)\/(3\/6). Let i(r) = 3*r**2 - 2*r**3 - 3 + 0*r**3 + l*r + r**3. Give i(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*h + 528 = -353 + 31 for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-571)\/(-4) - 1204236\/(-145968).\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5.714055 nanometers?\nAnswer: 0.000000000005714055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 323 + -27247?\nAnswer: -26724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 6*k = 4*z + 7, 3*k = 5*z + 30. Solve 2*a + 6 = 2*x + 4*a, x + 5 = -k*a for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + (-35 - -93) + -31 - -21?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 116975, 236394, 355799, 475184, 594543, 713870, 833159?\n\"Answer: -r**3 - r**2 + 119429*r - 2452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 28 = 5*p - 262, -2*p = -2*q - 134. Let a = p - 41. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**3\/15 + 44*d**2\/15 - 50*d - 264\/5 = 0.\nAnswer: -33, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r**2 - 253 + 253.\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + m + 1. Let c(n) = -n**2 - 11*n - 12. Let y be c(-9). Suppose x - 20 = y*x. Let w(j) = -5*j**2 + 4*j + 4. Give x*b(t) + w(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 18 - 2 = 0. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**3 + 660*p**2 + 5*p**4 - 3 + 1 - 659*p**2 - 2*p to d + r*p**3 + v*p + z*p**2 + s*p**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 37826271 a multiple of 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v + 39. Give g(3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ju when two letters picked without replacement from {d: 5, j: 1, u: 7}.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -503 or -8049\/16?\nAnswer: -8049\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10, 8, 2, -8, -22, -40, -62?\n\"Answer: -2*n**2 + 4*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sisrssisssssrss. What is prob of sequence isrs?\nAnswer: 11\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 23, 12 in descending order.\nAnswer: 23, 12, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 56438411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -3*u**5\/5 + 7*u**4\/12 + 2*u. What is the third derivative of r(v) wrt v?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/1005210 and -16\/4131?\nAnswer: 3015630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8776?\nAnswer: 2, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -n - 8. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 10.9 and 8.\nAnswer: 18.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, q: 2, c: 3, y: 1, w: 5, e: 1}. Give prob of picking 1 q and 2 w.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -6*a**2 - 13\/12*a**4 + 4*a + 0*a**3 + 0. What is the derivative of b(l) wrt l?\nAnswer: -26*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ccc19 (base 16) in base 13?\nAnswer: 511028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 2. Let m be r(3). Suppose 54*l = 62*l - 1648. Suppose 2*t + 98 = 2*b, -35 - l = -m*b + 4*t. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/3 - 233428*v\/3 + 1167190\/3.\nAnswer: -2*(v - 5)*(v + 116719)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*i = -7*i - 120, -y - 4*i = -9. Solve 4*n + 5 = 6*s - s, -4*s - n + y = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 249527 divided by 10849.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 40, 41, -356 in increasing order.\nAnswer: -356, -2, 1, 40, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -241, 0.03, 1\/6?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*t**2*u**3 + 781*t**2*u**2 - 2*u**4 + 194*u**3 wrt u.\nAnswer: 18*t**2 - 48*u + 1164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 49356258 or 49356259?\nAnswer: 49356259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4894*p + 5039*p - 9570 = 0 for p.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 47, 99, 171, 263?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 994*n. Let s(g) = -12*g - 39023 + 39023. Give s(f(x)).\nAnswer: -11928*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 8. Suppose j + 3*b + 7 = 20, -k*b + 4 = -4*j. Let x(w) = 13 - 12 - 2*w**3 - 5*w**3 - w + w**2. Calculate x(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**5\/60 - j**4\/4 + 5*j**3\/3 + j**2. What is the remainder when (35 - (-11 - -7)) + -6 is divided by g(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 776*v = 61*v + 542685. What is the greatest common divisor of 66 and v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 4) + (-102 - -112) - -6.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2\/23)*h*h)**12 assuming h is positive.\nAnswer: h**(804\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 849333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 20118?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l + 68. Let f(a) = a - 8. Let x(j) = -j**2 + 6*j - 48. Let o(i) = -6*f(i) + x(i). What is o(m(h))?\nAnswer: -h**2 - 136*h - 4624","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98662053 by 32887351.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10801599, 10801604, 10801609, 10801614?\n\"Answer: 5*t + 10801594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -32, -71, -120, -179, -248, -327?\n\"Answer: -5*t**2 - 24*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(30\/(-5))*-6*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*q**4 + 32*q**3 - 1434*q**2.\nAnswer: 264*q + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4169\/4, -198, 0.2, -2\/3, -2\/9 in ascending order.\nAnswer: -4169\/4, -198, -2\/3, -2\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.047? (a) 22 (b) -2\/9 (c) -0.3 (d) 3 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/3 (b) 1\/3 (c) 0.07 (d) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -8*z + 768. Suppose -2*x + 5 = n + 2*n, -8 = -2*x - 2*n. Suppose 0 = 8*i - x*i - z. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1228952\/9 + 136550. Let p = 0.3 - 0.2. Let k = p - 0.08. Sort k, -1, 2, w.\nAnswer: -1, w, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**5 - 22*d**3 + 24*d**2 + 45*d.\nAnswer: d*(d - 3)**2*(d + 1)*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8266317 and 355.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243637.\nAnswer: 19, 12823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*f - 47*f + 93*f.\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 23, 10.\nAnswer: -1, 10, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/72 and -79\/55750750.\nAnswer: 2007027000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -5*t + 1. Let p be l(-2). Let o be 42 + -1 + -1 + 4. What is the highest common divisor of o and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12538*y**2 - 1108*y + 66924621.\nAnswer: -25076*y - 1108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -222, -446, -670, -894, -1118, -1342?\nAnswer: -1566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 15*o**7\/14 - 37*o**3\/6 + 32*o - 32. Let w(c) be the first derivative of n(c). Find the second derivative of w(x) wrt x.\nAnswer: 900*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 81574334\/9 or 9063815?\nAnswer: 81574334\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 5:02 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -12589.51?\nAnswer: -12591.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/5 and -43\/345.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34964, -275741, -929282, -2201969, -4300184?\nAnswer: -7430309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3394*z**2 + 1691*z**2 - 24*z**3 - 3*z + 1700*z**2 + 3*z.\nAnswer: -24*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = 15*b - 35. Which is smaller: 16 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 2*j + 0*j**2 + 38*j**4 + 73\/3*j**3 + 94. Find the third derivative of b(u) wrt u.\nAnswer: 912","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m**3 + 8*m**2 - 7*m + 12. Let t(x) = 6*x**3 + 8*x**2 - 5*x + 8. What is 2*p(d) - 3*t(d)?\nAnswer: -10*d**3 - 8*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 47819047.75 to the nearest one hundred thousand.\nAnswer: 47800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -818\/77 + 120\/11. Which is the third biggest value? (a) -0.01 (b) 2\/5 (c) -4 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5*o - 935 = 2*o, -o = 4*k - 933. Let x = 1405\/6 - k. Calculate the common denominator of x and 1\/(-2) + 194\/(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**2\/21 - 156826*d\/21 + 149320 = 0. What is d?\nAnswer: 20, 78393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - -2) + -4 + 48 + -61?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21514 and 18?\nAnswer: 193626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14197 or -14234?\nAnswer: -14234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19963 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0*4\/(-4)*1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/(-10))\/((-127386)\/4550 - -28). What is the highest common divisor of 2496 and q?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a. Let d(i) = -i - 5. Let u be d(-8). Let w(f) = -f + u*f + 0*f. Give n(w(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vuuvavvuvvuuvaav. What is prob of sequence uuv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -72*j + 1. Suppose 3*h = -0*h - 9. Is b(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -107481*a + 430069. What is v(4)?\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - m + 12 = 5*b, -2*b = 3*m - 20. Suppose b*v = -5*q + q + 824, -3*v = 4*q - 615. Does 2 divide v\/33 + 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -73*n. Let d(l) = -2*l**2 + 53. Determine m(d(k)).\nAnswer: 146*k**2 - 3869","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 581009 = 4*d + 3*k, 5*d - 3*k + 62909 = 789177. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/2 + 7\/2. Suppose -2*i - j*i + 10 = 0. Sort i, 5, 3 in descending order.\nAnswer: 5, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 - -0.6. Let t = d + 0.6. Let r = 0.4 + 3.6. Which is smaller: r or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -g - 5*y, 5*g - 17 = 2*y + 3. Put 5, -20, g in descending order.\nAnswer: 5, g, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4\/65 + 118\/195. Which is the biggest value? (a) 0.3 (b) r (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 578490 or -35?\nAnswer: 578490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12.6 + 69.4. Let w = f + -81.5. Which is smaller: w or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (144\/(-27))\/(4\/6)*1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 5*j - j)*(412*j - 432 + 432)*(-2*j**3 + 4*j**3 + 0*j**3).\nAnswer: 3296*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*((h\/((h**8\/h)\/h))\/h)\/h*h)**(-35) assuming h is positive.\nAnswer: h**140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -81.2 - -81. What is the nearest to -7 in 0.4, r, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 173\/148 - -3\/37. What is the common denominator of 1*((-774)\/(-20))\/9 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79570 is divided by 609?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76255*m - 19122*m - 18896*m - 19117*m - 19114*m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -133 - -155. Calculate the highest common divisor of j and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*k + 422, -2*k - 237 = -4*u - 31. Let f = k - -427\/4. Let d = 4\/41 - 61\/205. What is the biggest value in d, 2\/9, -1, f?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -24*t + 19*t. Suppose -4*w - 7 = 1. Is w > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-7 + 714\/35)*20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133864*k = x - 133866*k - 1, 17*k - 39 = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 71703 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 10:01 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16723*s + 50282*s - 16797*s - 16797*s.\nAnswer: -35*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 - -155\/3. Let q = -3 + 1. Let h = -1.177 - -0.177. Which is the closest to -1? (a) p (b) q (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -237539973*y**3 + 267104580*y wrt y.\nAnswer: -1425239838*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmvhmuhjhmpuvmh. Give prob of sequence mu.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106861 (base 14) to base 12.\nAnswer: -229885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + h - 16 = 0, -183*d + 179*d + 16 = -h. Solve 3*a = -u - 2*u, -3*u = 2*a - d for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 4*a**2 - 10*a + 7. Let l be 37\/2 + (-33)\/(-6) + -4. Suppose 2*j - 4*q = 48, -j + 4*q + l = 6*q. Suppose 15*b + 42 = j*b. What is g(b)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*g + 76 = 107, 4*g = -2*x - 28. Let i(p) = 4*p**2 + 9*p + 4. What is i(x)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4403 (base 9) in base 12?\nAnswer: 1a63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47083 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 58\/(-1740) + 2\/(-15). Which is the second smallest value? (a) 12 (b) -2\/3 (c) n (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 15 = -9. Suppose a = q*a - 40. What is the remainder when a is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68 (base 13) to base 10.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u**2 - u + 5. Let y(l) be the first derivative of 7\/3*l**3 + 39 - 11*l + 0*l**2. Let w(z) = 5*f(z) + 3*y(z). Determine w(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-5)*(-20)\/(-8). Let q(l) = -850*l + 39. Is q(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2163775 is divided by 209?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((14\/4)\/(-7))\/1. Which is the second smallest value? (a) -3 (b) k (c) 1\/2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -15. Let n be (-45)\/(-6)*22\/3. Suppose -3*x = -8*x - n. What is the closest to x in 3\/8, q, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 14\/124067?\nAnswer: 14\/124067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1861*o - 6 = -1858*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-87)\/(-58) + (-2)\/4. List the prime factors of (-23)\/46*(-1539 + n).\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/38190 and 59\/3015.\nAnswer: 114570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6447790 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 10:16 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -199.3794612 rounded to one dp?\nAnswer: -199.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -3*x + 25. Suppose 3*s - 2*s - 1 = 0. Let k(g) = 2 + s + 3*g - 1 + 2*g**2. Let n(c) = 4*c**2 + 7*c + 4. Determine x*k(p) + 2*n(p).\nAnswer: -2*p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3295 - 3292. Solve -3*h + 2*w = a, -4*h + w = -3*w for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 606 or 605?\nAnswer: 605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/3)\/((-11)\/(-165)). Suppose -3*o + d + 224 = -3*d, -5*d = b*o - 420. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 24, -53, -130?\n\"Answer: -77*u + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * 15597564.\nAnswer: -109182948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*o**3 - 468938 + 468938.\nAnswer: -41*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 81 + 11. Round q to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*f - y - 82, 2*y = -3*f + 62. Suppose 0 = -4*o - 0*o + 156. Let s = o + -4. Calculate the remainder when s is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 50401832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - (-25)\/10)*14. Find the common denominator of 3\/16 and p - -8 - 138\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3c270 - -1b3?\nAnswer: 3c443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31? (a) -3 (b) 3 (c) 0.04 (d) 3\/2 (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/153 and 21\/85.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4392 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5634003067 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 equal to -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 29675?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oss when three letters picked without replacement from ssiisiisssots.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 34966\/31 greater than or equal to 1128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 3660612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2522030 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 3\/2*l**3 - 1 - 13\/4*l**2 + 3*l - 1\/4*l**4 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c + 2. Let l be z(0). Let x = l - 4. What are the prime factors of 5*(-1)\/2*x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (2 - 2) - -5 - 3 - 10\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9154806.\nAnswer: 2, 3, 17, 89753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4558*d + 4558*d - 247*d**2 to p*d**2 + t + n*d and give p.\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -447395, -894785, -1342175, -1789565?\n\"Answer: -447390*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -5. Let w(t) = -2*t**3 + 2*t - 1. Let l(o) be the second derivative of o**5\/10 - o**3\/2 + o**2 - 13*o. What is y*l(d) + 4*w(d)?\nAnswer: -2*d**3 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*r - 50 + 50)*(17 - 1 + 0) - 5 + 5 + r + (-2*r + 3*r + 0*r)*(0 - 1 + 2) + 3 + r - 3.\nAnswer: -493*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**4\/2 - 35*x**3 + 36*x**2 + 35*x - 71\/2 = 0.\nAnswer: -71, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2*52\/1. Let o = -13 - v. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8075542 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 366, 730, 1090, 1446?\nAnswer: 1798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -120*j - 8. Let n be l(-6). Suppose 25*z - 33*z + n = 0. Let v = z + -48. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4293749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31\/542 + -6112\/18699. What is the common denominator of 3\/10 and w?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/92 - 217\/1012. Suppose -16*z - 151 = -87. Which is the second biggest value? (a) z (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597196587 to the power of 1\/2, to the nearest integer?\nAnswer: 24438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 2354 = -3*u - 2*u - 0*u + 2309, 0 = -4*j + 2*u + 87 - 41 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xulxuullxxxxx. Give prob of sequence lux.\nAnswer: 21\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 12:40 PM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-26)*-1)\/((178080\/(-182))\/120).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - s**5 + 3*s**5 - 3*s**5 + (0*s**2 + 0*s**2 + 2*s**2)*(-4*s - 4*s**3 + 4*s).\nAnswer: -9*s**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 3*n**3 - n)*(6*n - n - 9*n) + (-4 - 1 + 4)*(-3*n**4 + 3*n**4 + n**4) + 3*n**4 - 3*n**4 + n**4.\nAnswer: 12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/3)\/((-10)\/(-3)). Which is greater: m or -128?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 + 338*c**3 + 28221*c**2 - 57460*c + 28900.\nAnswer: (c - 1)**2*(c + 170)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 241646?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 203 (c) -2\/3 (d) -2\/7 (e) 3\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-315)\/84)\/(-3*(-2)\/(-4)). Sort -1, -1\/4, f.\nAnswer: -1, -1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**5\/5 - 20*d**4 - 1618*d**3\/5 + 19380*d**2 + 2880*d - 172800 = 0. What is d?\nAnswer: -30, -3, 3, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*n + 1. Suppose 4 - 10 = -n*k. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87 (base 9) to base 11\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 50, 37, 18, -7?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.063? (a) -0.03 (b) -3 (c) 1.0564 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 44\/20 - 3\/15. Let u = -6 - -9. Solve 25 = -f*s - u*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4952)\/619*(-1)\/11.\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 648 and (-3 + 86 - 0) + 2\/(5 - 6)?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 0*z - 3*z)*((0 + 1 - 5)*(z**4 + z**4 + z**4) - 6*z**4 - 112*z**4 + 67*z**4).\nAnswer: 378*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.9 and -9783.9.\nAnswer: -9780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 1)\/((-2)\/(-22)). Let z(t) = -t**3 + 11*t**2 + 2. Let f be z(g). Suppose 0 = k + f*q - 93, -k + 3*k = q + 171. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1333 and 248.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 13*m + 5. Let k(d) = 8 + 3 + 64*d + 13. Let w(s) = -24*b(s) + 5*k(s). Let j(y) = 3*y**2. Give w(j(r)).\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5535 - 11?\nAnswer: 5524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 10 = 2*o, -4*o + f = 5*f. Let a(m) = 4*m - 43. Let w be a(11). Let d(n) = -n. Let b(h) = 83*h + 82*h - 169*h + 3. Calculate o*d(q) + w*b(q).\nAnswer: -2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 17*d + 5. Let t(n) = 2*n**2 - 26*n - 8. Suppose -38*k + 61*k = -184. Calculate k*m(c) - 5*t(c).\nAnswer: -2*c**2 - 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 2\/1409 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/7)*y*y)**(-7))**(-50)\/((y**(1\/10)\/y)\/y**(-1))**(2\/51) assuming y is positive.\nAnswer: y**(242249\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*o**5 - 2405*o**4\/2 - 2451*o**3\/2 - 416*o**2 - 46*o = 0. Calculate o.\nAnswer: -23, -2\/5, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2185536 and 2.\nAnswer: 2185536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 437044691 to the power of 1\/2, to the nearest integer?\nAnswer: 20906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aakrfqkarkfkkarkk. Give prob of sequence aaqa.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50 + 197*n - 38 - 192*n)*(-2*n - 3*n**2 + 2*n).\nAnswer: -15*n**3 - 36*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -96 + 44 + 52 + 112*r**2 in the form q + j*r + u*r**2 and give u.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -11*n**6\/6 - 23*n**4\/4 + 563*n**3 - 3316. Find the third derivative of j(f) wrt f.\nAnswer: -660*f**2 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -10.888, 0, 1\/3, -35?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (60\/(-75))\/((-4)\/10). Suppose 22 = -4*h + i. What are the prime factors of ((-486)\/21)\/(h\/35)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vtvv when four letters picked without replacement from {t: 1, v: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 4 - 0) + 12 - 21.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvqvquqveqvqiveuu. Give prob of sequence vqi.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2109843 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**5\/150 + 11*k**4\/30 + 19*k**3\/5 - 5294*k**2. Find d, given that j(d) = 0.\nAnswer: -19, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 - 6*x - 3. Let a(y) = -12*y**3 + y**2 + y + 1. Let t be a(-1). Suppose -2 = -3*n + t. Calculate the remainder when 66 is divided by s(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -29*v**2 - 6*v + 6. Let z(h) = -29*h**2 - 5*h + 5. Let d(x) = 5*f(x) - 6*z(x). Let l(i) = 5*i**2. Calculate d(l(w)).\nAnswer: 725*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fp when two letters picked without replacement from {p: 1, h: 8, f: 11}?\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - (1 + -16)) + -5 + -18 + 16. Let w(l) = 2*l**2 - 2*l. Let y(u) = -15*u**2 + 17*u. What is a*y(q) + 51*w(q)?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -402 divided by -67.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -93c3 (base 16) to base 9\nAnswer: -56800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, u: 1, a: 3, i: 1, z: 4}. Give prob of sequence zdd.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -1. Suppose -12 = -4*q + 2*v, -4*q - 2*v + 41 - 13 = 0. Suppose -3*f + 6 = 4*o, 0 = 3*o - 2*o. Which is the biggest value? (a) l (b) f (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -6\/7, -2\/3, 3\/2?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 100428*x + 10. Let h be k(2). Let v be (-1)\/(-2) - h*3\/(-12). Let b = -210217 + v. Round b to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1\/4, 16, -0.2 in decreasing order.\nAnswer: 16, 4, 1\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 119, 256, 411, 584, 775, 984, 1211?\n\"Answer: 9*j**2 + 110*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*i - 109*i - 344 = -5*o, -7*i - 3*o = -232 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15394 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, 4, -1, 8354 in descending order.\nAnswer: 8354, 7, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 13 = h, -3*h + 2*b + 12 = -0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 7, -3, 7\/3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1496 - 752 + 5*d**4 + d**3 - 746 - 3*d**2 in the form y*d + g*d**3 + v + b*d**4 + s*d**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by -8\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42*j**3*u*x**3 - 1865*j**3*x**3 + 2*j**3 - j**2*u - 6*j**2*x**2 - 2*j*u*x + 9*j*x**3 - 18875*j - 2*x**2 wrt x?\nAnswer: 252*j**3*u - 11190*j**3 + 54*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 3:58 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -288*b - 290*b - 5202 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -0.4 (c) -3\/8 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 6 = -54. Let f(t) = 4*t + 50. What is the least common multiple of s and f(-8)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 130*h**3 + 200*h**2 + 47. What is the second derivative of i(v) wrt v?\nAnswer: 780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 197 - 185. Suppose -a*h + 209 = -235. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a week in minutes?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(1\/4)*u**0*u**(5\/3)*u\/u**(-1\/6)*(u**4\/u*u\/u**(-1\/19)*u)**(-20) assuming u is positive.\nAnswer: u**(-22109\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 185\/1092 and -35\/806.\nAnswer: 33852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 261846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 769372*g*k**3 + 2*k**3 - 3439*k**2 - 8 with respect to g.\nAnswer: 769372*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 2*k**2 + 2*k**2 - k)*(-119*k - 10 + 114*k + 1).\nAnswer: -5*k**3 - 4*k**2 + 9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*v = 85, 60*s = 57*s - 3*v + 234. Solve 0 = -s*p + 15*p + 448 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 3*l + 5. Let h be k(-6). Let w = 45 - 29. Let g = w + h. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -j**5\/20 - 11*j**4 + 282*j**3 - 5859*j**2. Factor d(a).\nAnswer: -3*(a - 6)*(a + 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + 0.1. Let m = -35 - -35. Which is the nearest to m? (a) 2\/9 (b) q (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 44340?\nAnswer: 44340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 151 = -4*q, -4*j - 2*q + 169 + 3 = 0. What is the highest common factor of 396 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -17. Suppose h*s = 11*s + 11. Calculate the remainder when 53 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5394 - -6320. What is the remainder when m is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65\/138 - 2\/69. Let w = -2 - -4. Let o be 1 - -3*(-5)\/21. Which is the closest to o? (a) m (b) w (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 9 = -17. Let x be (-6)\/(2\/(-4) - (-12)\/v). Is ((-2)\/x)\/((-10)\/1905) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -528403 divided by 6?\nAnswer: -528403\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-28.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -w + 36. Factor -1\/2*b**2 + 0*b + 0 - 2*b**3 - b**5 - 5\/2*b**w.\nAnswer: -b**2*(b + 1)**2*(2*b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107924339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 338808, 1355171, 3049110, 5420625, 8469716, 12196383, 16600626?\nAnswer: 21682445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(6\/10))\/(180\/(-108))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.5 - -1.5. Let t = 10.81 + -5.75. Let s = b - t. Round s to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*p = -133*p + 4788 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + f**2)*(2332 - 15896 - 24213 - 2683 - 13614 + 3*f) in the form q*f**2 + h*f + o*f**3 + k and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12202141033 (base 5) to base 14\nAnswer: 1cd2943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/9*(-1242)\/368)\/((-1)\/(-4)) + 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 6*r**2 - 6*r + 2. Let g(u) = u**2 - u - 4. What is the smallest common multiple of g(4) and z(4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 4*o - 6 = 0, 3*n - o - 1 = 2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 0*p = -2*s - 13, 0 = 3*p + 5*s - 20. Let f = -1 + p. Suppose 0 = 75*t - 98*t. Solve 0 = -t*g + g, -4*g + 12 = f*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -664\/3 + 221. Put -1\/2, 3, 4, b in increasing order.\nAnswer: -1\/2, b, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 1 = -2*b, 0 = b + 4*n - n - 11. Suppose 678 = b*v - 952. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 + 43. Is 797\/4 - 1\/u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fkk when three letters picked without replacement from ahkjkqfj.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**3 + 92*t**2 - 8*t + 104. Is w(-43) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k**2 + 2. Let a(b) = 10*b**2 + b + 2. Let p(y) = y**2. Let c(h) = a(h) - 4*p(h). Let o(l) = -4*c(l) + 5*v(l). What is the units digit of o(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11900*h + 149746*h + 69448*h - 21458*h + 25265*h.\nAnswer: 234901*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 56999.9642 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.4 in 0.01, -2, -1, -4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27527627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 2*x - x)*(1 + 1 + 17)*(-x**3 - 2*x + 2*x) - 5*x**4 + 2*x**4 + x**4.\nAnswer: -59*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_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: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -90. What is the remainder when t is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4\/(-4))\/((-1)\/126).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*a - 18*a - 3094. List the prime factors of a.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**6\/120 - g**5\/12 + 5*g**4\/24 + g**3 + 3*g**2. Is x(-6) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2049528 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5376 and 371840.\nAnswer: 2231040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ia when two letters picked without replacement from apmpvliaamp?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 5 - 50*t**3 + 9 + 2*t**3 + 2*t**3 - 2*t**3 + (-4*t**2 - 3*t**2 + 5*t**2)*(-3 + 3 - t) to l*t + k*t**3 + i*t**2 + y and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7461 + -7457. Let l = 4 - 1. Suppose 3 = 3*d - l*k, -s*k = 5 + 3. Which is bigger: d or 2\/139?\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6906, -7133, -7508, -8031, -8702?\n\"Answer: -74*c**2 - 5*c - 6827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - 44 - 13 - 34.\nAnswer: q - 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -118*x**3 - x**2 + x. Determine f(1).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 3*x**2 + x - 3. Suppose 8*k - 9*k + 5 = 0. Suppose 18 = z + k*o, -4*z + o = -1 - 8. Calculate w(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {y: 2, s: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 2*m - 1. Let n = 236.7 - 237. Which is the closest to 0? (a) n (b) 1\/6 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6*k**3 + 3*k + 5. Suppose 5*p - 5 = 5*s + 25, -2*s - 4*p = 0. Let q(h) = -h - 1. Let r = -1 - 0. Let t(l) = r*y(l) + s*q(l). Give t(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 174953?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*u - 117157 = -6*f + 20*u, -3*f - 5*u = -58576. List the prime factors of f.\nAnswer: 3, 23, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000827467364 to 6 dps.\nAnswer: -0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.1 (b) -239 (c) -4 (d) -143 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 1:20 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + 0)*4 + 6*(1 + sqrt(125)).\nAnswer: 6 + 62*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmpppmmmmm. Give prob of sequence pm.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4\/165 - -14\/33. Let r = -4 + 0. Let v = -2\/93 - 275\/186. Which is the nearest to v? (a) r (b) z (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 622, 2108, 5000, 9766?\nAnswer: 16874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 12*a + 6. What are the prime factors of i(-7)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 230.791 - 231. Let i = 0.009 + q. Which is bigger: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -15. Let k be ((-32)\/120)\/(j\/(-6)). Do -17 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 4, 0, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mp when two letters picked without replacement from mpyyp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25 + -1125?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 8*p - 9. Let b(j) = j - 1. Let h(f) = f**3 + 26*f**2 + 86*f - 5. Let r be h(-4). Give r*t(d) - 21*b(d).\nAnswer: 3*d - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6529413 decades to millennia.\nAnswer: 0.006529413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7 + 1 + (4 - 1). Let w be -6*a\/((-120)\/524). Let c = w + 79. What is the nearest to 0.1 in -0.1, c, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + k**2 + 2*k**2)*(470189*k**2 - 4*k - 470242*k**2 + 7*k + 13).\nAnswer: -106*k**4 + 6*k**3 + 26*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**5 - 102*j**4 - 1152*j**3 - 4602*j**2 - 3549*j = 0. What is j?\nAnswer: -13, -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*m - 2*s = 283*m + 36, m = -18*s + 9 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffqffffqf. Give prob of picking 2 q.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-65 + 1\/(-1))\/(-2) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 271*a + 2608. Calculate k(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1164384?\nAnswer: 2, 3, 13, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**3 - 5*w**3 + w**3 + (16*w**2 - 2*w**2 - w**2)*(0 + 0 - 2*w) - 2*w**3 + 4*w**3 - w**3.\nAnswer: -29*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 4*s**2 + s - 1. Let r be m(4). Differentiate 2*y - 5*y + 2*y + 8 - r*y wrt y.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - -15 - 20 - -22.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1901 = 539*h - 663 - 5521 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248354?\nAnswer: 2, 23, 5399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.272*-0.1039\nAnswer: 0.0282608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -194981262*a**4 - 35214*a**2 - 54?\nAnswer: -4679550288*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x - 5. Let v(k) = -k - 1. Determine -2*o(s) + 10*v(s).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 14*b - 86. Let c = -231 + 259. What is the tens digit of a(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71310*d**6*x**2 - 2*d**3*x**2 - 5*d**2*x**2 - 12688*d*x - 2 wrt d.\nAnswer: -8557200*d**3*x**2 - 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-82)\/287)\/((-1)\/(-1 - -2*11)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 25\/(-80)*408\/510\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -71*l - 14. What is the units digit of d(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m - m + 2*m + (-1 + 8 - 1)*(-1 - 2*m + 1).\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 215*b**2 - 535*b - 330.\nAnswer: 5*(b - 3)*(43*b + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of d**6\/3 + 3*d**2 - 2*d - 62. Find the second derivative of k(w) wrt w.\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 5*f**8\/336 - 23*f**6\/120 + f**5\/60 + 1417*f**4\/8 + f**2 + 186*f + 2. Find the second derivative of g(d) wrt d.\nAnswer: 100*d**3 - 138*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*w + 35*w - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -8*(6 + (-9 - (-385)\/126))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 11597 = 4*p, 4*p = 6*f - 4*f - 4634. What are the prime factors of f?\nAnswer: 11, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/4, 151, 0.5 in descending order.\nAnswer: 151, 0.5, 0, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + 3*l - 6. Let c be ((-3)\/5)\/((-11)\/55). Let v(d) = d**2 - 1. Let h(p) = -2*p**2 + p + 1. Let s(f) = c*v(f) + 2*h(f). Determine s(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 548463295 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 11:55 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 16*h**2 + 18*h + 49. Let k be b(-15). Solve -k*i + g + 2*g = -6, -5*g = 3*i - 19 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -271472, -542946, -814420, -1085894?\n\"Answer: -271474*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**3*w**3 + 54*a**3*w + 11*a*w**2 + 306*w**4 wrt w?\nAnswer: 12*a**3 + 7344*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/15)\/(-2)*-12. Let a(y) = 9*y - 4. Calculate the remainder when 2\/12*z + (-3366)\/(-54) is divided by a(4).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 4*v - 9*v + 8, 0 = -4*v - 4*q + 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 u when three letters picked without replacement from {u: 2, e: 3, v: 1, j: 4, l: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -v**4\/8 + v**2\/2 - 5*v + 11. Let u(g) be the second derivative of d(g). Let m(y) = 11*y. Give u(m(q)).\nAnswer: -33*q","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*5*(sqrt(176) + -4 + sqrt(176) + (1*sqrt(176) - sqrt(176))**2 + -2 + ((3*sqrt(176))**2 - sqrt(176)))*-1.\nAnswer: -47340 - 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -2778, -2712, -2646, -2580, -2514, -2448?\nAnswer: -2382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -36 - -22 - (-1 - (-6 + -6))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -25 - 15. Is 7 a factor of (-1 + u\/2 + -85)*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-5\/4)\/s)\/s*s**(-2)\/s*s)\/((s*s*(s*s**(-5))\/s)\/s**(-1)) assuming s is positive.\nAnswer: s**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -175486.671 and -5.176?\nAnswer: 175481.495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and 1235414.7.\nAnswer: 1235409.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 769661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q + 10 = 27*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a tonne in kilograms?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2622 times 0.161\nAnswer: -422.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 4*h**2 - 5*h. Let i be n(5). Let l = 0 + i. Let g(y) = y. Determine g(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - f + 1053 = 0, -6*y = -10*y + 5*f + 1047. What are the prime factors of y?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 60*n. Let l(y) = -12*y. Let a(i) = -5*k(i) - 24*l(i). Let p(v) = -v. Calculate a(p(m)).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 35*(-31)\/1395*-9\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -480 - -739. Let w(b) = b**2 - 2*b + 31. Let z be w(13). Suppose -5*v = -3*l + z, 2*l - o = -3*l - 2*v. What are the prime factors of l?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6463\/2040 - -54\/17. Let x(n) be the third derivative of 0*n + 0*n**3 + 0*n**4 + u*n**6 + 0*n**5 - 5*n**2 + 0 + 1\/210*n**7. Factor x(k).\nAnswer: k**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**2 - 14*h**2 + 31 + 11*h**2 - h in the form q*h**2 + g*h + f and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 129677781*n**3 + 29621591*n wrt n.\nAnswer: 778066686*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 34*l**2 - 188*l + 23. What is the tens digit of g(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2945 = l + 4*l - 5*y, 0 = -4*l - 3*y + 2356. Let j = l - 386. Is j a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79882451 is divided by 78.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-30)*3\/27*2*6\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 2 - -6) + (0 + -37 - (-51 + 46)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 572 - 164. Let u = 407.999845 - t. Round u to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.81897583 rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3175 and 71755.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/69 and -1\/1741997.\nAnswer: 5225991","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.41 + 13.53. Which is the biggest value? (a) x (b) -0.5 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5.7972 and 18.6442.\nAnswer: 24.4414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1362, -1318, -1234, -1110?\nAnswer: -946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 4*f + 100944 = 0. Let w = f + 47988. Round w to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -3*n**2 + 69*n - 10. List the prime factors of y(0).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/286 and -1\/93422472.\nAnswer: 93422472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 7 + -2 + 76 + (-4 - (-4 - -11))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 286\/16 - (-5256)\/(-292)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6527 and 20894211?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k**3 + 7*k**2 - 5*k. Let w(i) = 2*i**3 - i**2 - 1. Let z(p) = -h(p) - 7*w(p). Let v(m) = 13*m - 2*m + 4 - 6*m**3 - 8*m. What is 7*v(r) - 4*z(r)?\nAnswer: 2*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 8\/4507?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9827.611 nanograms to milligrams.\nAnswer: 0.009827611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3143389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5960 + 2845. Is (4 + -2)*s\/(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*h**2 + 4*h**2 - 11*h**2 + h**2 - 20*h**4 wrt h.\nAnswer: -480*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -1\/32*y**4 - 1\/120*y**5 + 0*y + 0 + 1\/12*y**3 - y**2. Factor p(d).\nAnswer: -(d + 2)*(2*d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -181250 divided by 125?\nAnswer: -1450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -12627*u - 89. Is o(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-73)\/365 + 2212\/10. Let i = m + 456. List the prime factors of i.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3931910 is divided by 302453?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 6*a = 0. Factor 2*w**3 - 4*w + a*w + w + w**3.\nAnswer: 3*w*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 9*a**2 + 5*a + 1. Let u be j(-8). Suppose z - u = -5. Suppose 4*f + 4 - z = 0. Solve n = -5*l - f + 3, 0 = -4*l + 3*n + 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 - -43. Let w = 35 - 20. Suppose 3*x = 3*s - w, 5*s + x - 22 = 3*x. Put d, 3, s in descending order.\nAnswer: s, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77794 - -86506963\/1112. Find the common denominator of j and 13\/6.\nAnswer: 3336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.8 and -0.058.\nAnswer: 0.1624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/387 in -0.1, 38, 3, -6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 11 + 2 + (-15 - 11) + 16 + 10.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5*w + 95. Calculate the least common multiple of 40 and x(-18).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159244 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2. Let b(m) = -m**3 - 10*m**2 - 5*m - 4. Let o(v) = -b(v) + 6*r(v). What is o(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 297 divide 43310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19479666 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(78\/27)*44\/(1958\/89)\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6\/(-9))\/(6\/(-1098)).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-3)*-4 + 0. Let g be (4\/(-30))\/(z\/12). Suppose -4*x + 2*x + 4*y - 4 = 0, 5*y - 5 = 0. Which is greater: x or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 - 492*b - 20172.\nAnswer: -3*(b + 82)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 9*f**3 - 5*f**2 + 10*f + 16. Give g(-2).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-1) - (-10 + -2 + -3). Suppose u = -0*s - s. Let o = 34 + s. What is the remainder when 95 is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3, 93\/17 in decreasing order.\nAnswer: 7, 93\/17, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6676?\nAnswer: 2, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 399 + -394. Suppose -85 = -4*u + a*l, -u = 2*u + 2*l - 35. Solve u = 2*m + 17 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*70\/(-567)*(-9)\/(-15)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 29*r**4\/24 - r**3\/6 + r**2. Let k(f) be the first derivative of -f**3\/3 - 768. Determine k(v(c)).\nAnswer: -841*c**2 + 58*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 950825*k**2 + 775 - 950826*k**2 - 789.\nAnswer: -k**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*p - g, -25*g + 28*g - 7 = 5*p. What is the common denominator of 143\/60 and 5\/(p - -7) + (-417)\/36?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (310*i + 286*i - 504*i + 1)*(-4*i**2 - i**2 + 3*i**2) in the form r*i + p + w*i**3 + b*i**2 and give w.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k + 2864 = 3764. Calculate the greatest common divisor of k and 3744.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -927 (base 13) to base 10\nAnswer: -1554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 16*f**2 + 142*f - 13. Let l be h(-9). Solve 0 = 4*p - l*c, 2*p = 2*c - 3*c for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(605)*4)\/sqrt(11)*4)\/(((6*((sqrt(396) - sqrt(396)*6) + sqrt(396) + sqrt(396)) - sqrt(396)) + sqrt(396))*-5).\nAnswer: 4*sqrt(5)\/135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/24 and 71\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -98 - -122.2. Let f = -26 + y. Let t = 0.2 - f. Is t at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 65 - 41. Let i = 19 + -9. Let r be (-40)\/(-50)*i\/4. Solve -2*v + 3*m + j = 29, -r*m + 30 = -5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*u**4\/5 - 72*u**3 - 66*u**2\/5 + 1512*u - 11907\/5.\nAnswer: -3*(u + 9)**2*(3*u - 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -182\/9 - -1609\/72. Let p = -12267\/10 + 1216. Find the common denominator of p and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + p**2 + p + 2. Let o be j(0). Let q(x) be the first derivative of -2 - 1\/8*x**4 - 4*x - 3*x**o - x**3. Suppose q(d) = 0. Calculate d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 2. Let n(h) = 7*h + 6. Let a(w) = 5*w - 1 - 6*w + 0*w. Suppose 19 - 39 = -7*r + 15. What is r*a(p) + t*n(p)?\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, -0.4, -568 in descending order.\nAnswer: 0.01, -0.4, -568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 122535569 to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b + 2. Let z = -4 - -7. Let v be 3 - 6\/(-9)*-3. Let m = z + v. Give n(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -444937, -444974, -445035, -445120, -445229, -445362?\nAnswer: -445519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3*sqrt(1900))**2.\nAnswer: 17100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255 = 21409*o - 21494*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 45.14297 to two dps.\nAnswer: 45.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1294*p = 1284*p + 640. Let c = 117 + 5. Let y = c - p. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*l**2 + 110*l**2 - 50*l**2 - 141*l**2.\nAnswer: -148*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 9:02 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9666622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-88))\/(560\/448).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2, 5, 3, 98, 14 in decreasing order.\nAnswer: 98, 14, 5, 3, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**2 - 3*g**2 + 2*g**2)*(3 - 3 - g**2) + (-3*g + 3*g - 2*g)*(-5*g**3 - 2*g**3 + 5*g**3).\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*sqrt(192).\nAnswer: -8*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2359083 (base 11) in base 5?\nAnswer: -2023032200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*q**2 - 1455 + 727 + 730 as x + u*q + g*q**2 and give g.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 6. Let d = l - 2. Let x be 11*d + 0 + 1. What is the highest common divisor of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136399 is divided by 28.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*s**2 + 3488*s + 143 wrt s.\nAnswer: 4*s + 3488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 141\/(-470)*-6*1\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*y + 45*y + 65*y - 22*y to w*y + o and give w.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.49357936 to 3 decimal places.\nAnswer: -22.494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((-4 + sqrt(300) + 1 - sqrt(300)) + 5) - (sqrt(12) + (-2*sqrt(12) + sqrt(12))*-1)\/(6*sqrt(196)))**2.\nAnswer: 8*sqrt(3)\/7 + 21169\/147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9611 - 3259 = 174*q + 15226 for q.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(-2) - -7)\/(8 + 966\/(-120)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - f + 10 - 3, -3*f = -4*j - 10. Let r = j - -5. Suppose -23 = -r*p + 65. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is t in 126*t**2\/13 - 48898*t\/13 + 3880\/13 = 0?\nAnswer: 5\/63, 388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8281 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**5\/20 - 5*q**4\/12 - 4*q**3\/3 + q**2\/2 + 6*q. Let v(f) = f**3 - f + 1. Let u(y) = -k(y) + 2*v(y). Give u(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmxmmmxmmxxmmmmxx. Give prob of picking 3 x.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -31*b - 12. Let v(m) = -15*m - 6. Let c = -37 - -41. Let l(w) = c*k(w) - 9*v(w). What is the derivative of l(z) wrt z?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 7.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 18. Let f(i) = -10*i + 8 + 2*i**2 - i**m - 11. Let q be f(11). Solve 3*w + q = -w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1853, -1882, -1921, -1976, -2053, -2158, -2297, -2476?\nAnswer: -2701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 139234.65 months in millennia?\nAnswer: 11.6028875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -159823\/75852 + -2\/18963. What is the common denominator of -2\/7 and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-816)\/(-252)*-7)\/(1\/(-939)*2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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: Find the second derivative of 1099*m**2*r**2*y - 210*m**2*r*y**2 - 17*m**2*r*y + m**2 - 2*m*r - 86*r**2*y**2 wrt r.\nAnswer: 2198*m**2*y - 172*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 162*g**2 - 2640*g + 274. What is k(-15)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -57*1\/(-3)*3. Suppose 6*z - 117 = u. Does 29 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19\/24 + 9\/8. Let u = 16 + -11. Let y = 7 - u. Which is the nearest to m? (a) 3 (b) y (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1895 = -5*z + 2660. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -432118, -864238, -1296358, -1728478, -2160598, -2592718?\n\"Answer: -432120*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*w + 10 = 0, 4*g = 9*g + 5*w - 10. Solve 5*i = i + g*l + 4, -2*i = l - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 2:19 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 201997\/80 - 2525. Calculate the common denominator of 75\/8 and w.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3043?\nAnswer: 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of j**2\/2 - 2881. Let x(v) = 2*v**2 - 4*v**2 - 2*v**2. What is x(m(g))?\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21*j**2*u**2 - j**2*u - 4*j*u**2 - 485*u**2 + u wrt j.\nAnswer: -42*j*u**2 - 2*j*u - 4*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5624 divided by -5624.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (0*11\/(-44))\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**3\/3 - 2*x**2. Let q(r) = r + 1. Let h = -32 - -56. Suppose 3*v = -y + 17, -5*v + h = -5*y + 9. Give y*q(k) + u(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2880?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*c + 295*c - 92 + 90)*(-7*c - c + 12*c).\nAnswer: 1256*c**2 - 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7574*r + 231*r + 204593 = 434*r - 289264 for r.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 - a + a)*(2 - 4 + 4) + 0*a**2 + 8*a**2 - 3*a**2 + 64*a**2 + 38*a**2 + 21*a**2 + (4*a + 0*a - 2*a)*(0*a - a + 0*a).\nAnswer: 124*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 408 + 2578098196.\nAnswer: 2578098604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 5, -488 in descending order.\nAnswer: 5, 2, -1, -488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 146490675 to the power of 1\/2, to the nearest integer?\nAnswer: 12103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**3 - 17*z - 278*z + 3*z**3 - 196*z.\nAnswer: 5*z**3 - 491*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (589\/(-95))\/((-3)\/15). What is the first derivative of 71*g - 41 + 21 - u wrt g?\nAnswer: 71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 38 = -x + 6*x, 0 = -5*x + 5*g + 20. Suppose x = -3*r + 19. Let h be 2\/(-21)*(-5 + -1). Which is the biggest value? (a) r (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 109232850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.488278 centimeters to meters.\nAnswer: 0.03488278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 0) + (-1285)\/(-1028)*(-40)\/6\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 h when two letters picked without replacement from {m: 1, i: 1, g: 3, h: 6, p: 1, y: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**5 + 10*f**3 + 7758*f**2 + 15137986*f wrt f?\nAnswer: 40*f**3 + 60*f + 15516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 158 + 440. Is 26 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**2\/2 - 3*m + 45. Suppose -3*v = 2*j + v + 8, 2*v + 28 = -5*j. Determine w(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 - 25. Find the first derivative of n*m + 6*m + 14 - 8*m wrt m.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 6*z - 1. Let g be t(1). Let u = g - 3. Put -4, u, -5 in descending order.\nAnswer: u, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 32*z**2 - 274*z - 83. Give r(39).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*v**2 - 2 - 3 + 5 + 34*v**2.\nAnswer: 82*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -v**4\/24 - 63*v**2. Let y(j) = -j. Suppose -l = 3, -5*u - 6*l + 2*l = 37. Determine u*r(g) + 6*y(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 120*j**2*n**2 + j**2*n + 18*j*n**2 - j*n + 2*n**2 wrt j?\nAnswer: 240*n**2 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 33\/(-126)*3 - (-3)\/6. Let n = 0.4 - -4.6. What is the closest to -1\/2 in -1\/11, n, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8317 - -13543. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11024332 (base 7) to base 16.\nAnswer: -e7550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23709.000021046 - 23709. What is j rounded to 7 decimal places?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -467, -578, -739, -932, -1139, -1342, -1523?\n\"Answer: 3*w**3 - 43*w**2 - 3*w - 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-164728707)\/(-169) + (-7)\/(2 - -89) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61 + 3507*o + 58 - 3510*o - 117 - o**4 + 11*o**3 - 20*o**2 to the form r*o**4 + y + p*o**2 + a*o + h*o**3 and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s + 0*s - 18*s + 7*s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 9*m**2 + 8*m - 18. Let v be c(-10). Let o be -1*v*((-243)\/18)\/(-9). Is -17\/9 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25bc (base 13) to base 3\nAnswer: 21101210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 18. Suppose 4*q - 3*q - r = -a, -3*a - q + 32 = 0. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 5 = -z. Let s(g) = -2*g + 12. Let l be s(z). Solve x + l*x = 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/(-36)*3\/(-7). Let u = -8 + 13. Is u at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-7) - ((-2)\/28)\/((-114)\/(-912)). Let v = -2 + 5. Suppose -3*y + 7 = i - 4, 0 = -5*i + 2*y + 4. Sort v, i, 4, s.\nAnswer: s, i, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s. Let a(g) = 2877276*g. Determine y(a(w)).\nAnswer: 5754552*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**4\/12 - j**3\/2 - j**2. Suppose 7*r - 9 = 47. Calculate the lowest common multiple of r and m(4).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(2*q**4 + 1 - 1)*(-5 - 6 - 28).\nAnswer: 78*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6 from -1.6815918333.\nAnswer: -7.6815918333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3757*-0.5\nAnswer: -1878.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, s: 5, f: 1}. What is prob of sequence fl?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**2 + 3 + 2 - 18*q**4 - q**2 - 4 in the form a + i*q**4 + n*q + w*q**2 + y*q**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 - 56. Calculate the least common multiple of 4\/(-6)*d\/12 and ((-3)\/1)\/(-3)*6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 1:29 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 7*z - 5. Let s = -3 - -7. Suppose -5*g + 0*b = 2*b - 23, 0 = g + 5*b - 23. Suppose -g*r = -2*r - s. Determine t(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (9 - 7 - 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -0.21 (c) -25 (d) 2\/9 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 31233.8 to the nearest 1000.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1536 and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 422362 = -5*k, -422353 = -5*k - 9*c + 13*c. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u + 2*u - 2 + 4 - 3*u. Let g be c(2). Calculate the greatest common factor of g and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -0.03, 3, 269 in ascending order.\nAnswer: -3\/2, -0.03, 3, 269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -35, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 513 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 355176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f + 31 - 2*f + 5*f - 3*f. What are the prime factors of o(15)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 19450 = -3*v + 3*g - 19465, 8 = -v + 2*g for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*q**2 + 15*q**2 + 2*q - 40*q**2 + 11*q**2 - 9*q to h + c*q**2 + u*q and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -u - 0*u, -2*b - 5*u - 8 = 0. Let l be (b\/1)\/((-9)\/135). Let t = l + 29. Calculate the highest common factor of 140 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -356*c**3 - 196*c**2 + 33*c**2 + 79*c**2 + 84*c**2.\nAnswer: -356*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (86190\/(-182) + 17)\/(2\/(-21)). Calculate the greatest common factor of 94 and w.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-63))\/((-1420)\/25560)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -7559*j + 226784. Determine i(30).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -2615553?\nAnswer: -1\/2615553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((-3 - 0) + 17 + -21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 52*n - 38*n + 110*n - 37*n)*(2*n + 0 + 2*n - 9) to z + k*n**2 + d*n and give z.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**4 - 47*x**3 + 541*x**2\/3 - 105*x + 50\/3 = 0 for x.\nAnswer: 1\/3, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4726763 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2275.3 - 2275. What is the closest to -32\/5 in s, -2\/13, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(-5*sqrt(60)\/sqrt(6)) - (sqrt(425) + -1 + sqrt(425) + 4 + sqrt(425) - sqrt(425))**2.\nAnswer: -1709 - 301*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -11*b**2. Let k be (1*3\/(-2))\/((-90)\/120). Let r(x) = -x**k - 366*x + 366*x. Determine n(r(p)).\nAnswer: -11*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + h + 72. Let n be l(0). Suppose r = -2*r + n. Let t = -17 + r. What is the highest common factor of t and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 3.570452?\nAnswer: -1.785226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-3) - (-5817)\/12*29\/((-58667)\/34)\nAnswer: -5\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 47*i**3 + 1. Let o be t(1). Suppose -o = -6*p + 2*p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**2 - 18*f + 6*f + 13*f.\nAnswer: 6*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/167018 and -55\/259.\nAnswer: 1169126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -69, -140, -211, -282?\n\"Answer: -71*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_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: Factor -3*c**2\/7 - 49713*c\/7 + 99438\/7.\nAnswer: -3*(c - 2)*(c + 16573)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 2:43 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 8:45 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -888, -1832, -2776, -3720, -4664, -5608?\n\"Answer: -944*m + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 1 (b) -59\/3 (c) 2\/5 (d) 0 (e) 0.2 (f) -3 (g) 140\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8487 + -8487. Solve 105*y - 104*y + 3 = h for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1268?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5981437 to the power of 1\/2, to the nearest integer?\nAnswer: 2446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25350039 to the power of 1\/2, to the nearest integer?\nAnswer: 5035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -813, 3 in increasing order.\nAnswer: -813, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-12) - (-8)\/(-96))*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and -0.426.\nAnswer: 0.01704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 180*x**2 + 6*x + 16 + 3179*x**2 to the form a*x**2 + p + u*x and give a.\nAnswer: 3359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.929 - -0.929. Let m = -0.05 - -0.25. What is the third smallest value in 5, m, t, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56 + 63. Is 5 a factor of d*(6 + (5 - 1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1adf (base 16) to base 10\nAnswer: -6879","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-28))\/(38\/266)*1*7.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 13*q**2 + 5*q - 11. Let f be r(12). Suppose 2*w = 5*k + w - 840, -4*k + w = -673. Let d = f + k. Is d a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7167706 is divided by 3451?\nAnswer: 3430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6575 is divided by 655?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of 19*h**5\/120 + h**4\/12 - h**3\/2 + 9*h. Let p(k) be the second derivative of m(k). Does 20 divide p(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**3\/6 - 6*k**2 - 4*k. Let f be y(-9). What is the units digit of 5 + 1\/((-3)\/f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4753 and 194.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 6*i = 0. Suppose -3*j + j + 10 = i. Suppose w + j*w = 0. Solve -f + w - 2 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71808, 287189, 646140, 1148661, 1794752, 2584413, 3517644?\nAnswer: 4594445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 b when three letters picked without replacement from {b: 2, x: 2, a: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 1949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 37284 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 750, 893, 1286, 2055, 3326, 5225?\n\"Answer: 21*v**3 - v**2 - v + 731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w - 42*w**2 + 3*w + 3*w + 17*w**2.\nAnswer: -25*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 31*y + 162. Give u(-19).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -40126.\nAnswer: -120378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49 - 44. Suppose 5*v = b + 5. Let y(i) = i**2 + i + 3. Let g be y(0). Solve -g*z + 15 = v*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 139 = -o + q, 0 = 5*q + 5. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18430 and 18430.\nAnswer: 18430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -295\nAnswer: -2\/295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*w**2 + 38*w**3 + w**4 - 115*w**3 - 17 + 37*w**3 + 2*w**4 + 41*w**3 to the form l + a*w + v*w**2 + g*w**4 + f*w**3 and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -18715 - 369928.3\nAnswer: -388643.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 8*k - 32. Suppose 1932 = 4*p - 0*p. Let f = p + k. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p + 42 - 40 + 3*p. Let k(s) = s + 1. Give -4*h(t) + 5*k(t).\nAnswer: t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117721 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -5*t**3 - 15*t**2 - 10*t = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*g + 3*a, -g - 12 = 11*a - 7*a. Let d(k) = 2*k + 1. Let y(i) = -3*i - 1. Let r(u) = 5*d(u) + 4*y(u). Give r(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4090197 to the power of 1\/2, to the nearest integer?\nAnswer: 2022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -49*j + 105. What is the remainder when 295 is divided by y(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 275*h**4 + 10*h**2 - 5*h + 1354. What is the second derivative of l(d) wrt d?\nAnswer: 6600*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 14247*d**2 - 174. Let l(w) = 3*w. What is l(s(v))?\nAnswer: 42741*v**2 - 522","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - o = 0. Let q be 0\/(o + -3) - -3. Solve q*c - 19 + 7 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i**2 - 5*i - 4. Let w(g) = -2*g**2 - 4*g - 3. Let c be (-8 + 9)\/(2\/(-6)). Calculate c*f(a) + 4*w(a).\nAnswer: a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 4*x = 2*x + 18, -4*f - 4*x = -36 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.30232 - 3.05518. What is m rounded to two decimal places?\nAnswer: -3.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/(-3) + 20)\/2. Let q(s) = -s**3 + 5*s**2 + b + 0*s + s + 5*s - 8. Let o be q(6). Solve o*d = -2*d + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 63 - 357. Suppose l*f - 48 = 137*f. Calculate the lowest common multiple of 16 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 445 - 303. Suppose j = -16*x + 702. List the prime factors of x.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**3 + 10*s**2 + 5*s = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five eighths of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -111122 (base 3) to base 2\nAnswer: -101110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*z - 3 = 0, y + 2 = -4*z + 13. Let x be 124\/(-20) - 1\/y. Let w be x\/(-3) - (-2 - -1). Solve 0 = -4*k + 3*o - w, -3*o = 2*k - 2*o - 11 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 2695, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 6*z. Suppose -3 = -g + 11. Let x(o) = o. Let i(j) = g*x(j) - 2*q(j). Let b(n) = 6*n. Calculate i(b(l)).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - -4. Let f = -6 + q. Find the first derivative of -68 + p**3 + 70 + f*p**3 + 21*p**3 wrt p.\nAnswer: 96*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59442128597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4882516038 to the nearest integer?\nAnswer: 69875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (9 - (-7 - (8 + 1 - 19)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56 + 18*f**3 + 62 + 52 - 166 + 214*f**3 to w*f**2 + s + j*f + l*f**3 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 a factor of 72771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g + 5608. Let q(p) = -43*p. Give j(q(l)).\nAnswer: -215*l + 5608","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/1953 and -11\/3436272?\nAnswer: 106524432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 18*w - 11. Let c(u) = -8*u**3 - 104*u**2 + 4*u + 70. Let d be c(-13). Calculate g(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -1935, -16\/65 in decreasing order.\nAnswer: -16\/65, -29, -1935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19*l + 15*l - 31*l)*(-5 - 5 - 3) to the form v + d*l and give d.\nAnswer: 455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-6) - 230\/(-3). Let l = 157 - s. What is the highest common factor of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 - -34. Are 6\/11 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3\/10)\/b)\/b)**8\/(b**(2\/11)\/b**7) assuming b is positive.\nAnswer: b**(-637\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*r - 2494 + 676 = 0 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(396) + sqrt(396)*-3 + (sqrt(66) - -3*sqrt(66))\/sqrt(6) - -3*5*(sqrt(11) + sqrt(11)*1)*6))**2*1.\nAnswer: 1720*sqrt(11) + 325449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1617)\/(-1029))\/(12\/(-420))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1461240 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4*f + 21 = -11, -15 = 3*f. Suppose a*m = 381 - 51. List the prime factors of m.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7\/9, -14\/19, -0.5?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 - 33. Let p = v - -13. Suppose 2*q - 4 = -5*t, -5*q - 1 = -2*q + 4*t. Which is the third biggest value? (a) p (b) q (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -37819, -75814, -113809, -151804, -189799?\n\"Answer: -37995*g + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10809, 10807, 10805, 10803?\nAnswer: 10801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**2 + 2*u + 4. Let l(t) = t**3 + 4*t**2 + 2*t + 37. Let g be l(-5). Let v(r) = 11 - 19*r**2 + 25*r**2 + 7*r - 12*r**g. Calculate 2*v(n) - 7*w(n).\nAnswer: 2*n**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42.999946 - 43. Round c to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 451*q**3 - 2*q - 1. Let c be r(-1). Round c to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -88956*n**3 - 711644*n**2 - 1334308*n + 60 = 0. Calculate n.\nAnswer: -5, -3, 1\/22239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*r**2 + 2*r**2 - r**2)*(14 + 4*r - 14) + (4*r - r**3 - 4*r)*(0 - 2 - 1) in the form f + u*r**2 + w*r**3 + a*r and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 + -9 + 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0 (c) 0.06 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -163*a - 156*a + 485*a - 161*a. Let f(x) = -76*x. Calculate f(c(k)).\nAnswer: -380*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/79 - -168\/395. Which is the closest to 3? (a) -5 (b) 0 (c) n (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 7579191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**2 + 31610264*g + 124901098768712 = 0. What is g?\nAnswer: -7902566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2*m + 8 = 0. Let o = 3 - m. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(196)*-2)\/((sqrt(7) - sqrt(7)*-1)*6) - ((-5*sqrt(441)\/sqrt(7) - sqrt(63))\/sqrt(9) + -5)**2) + -4.\nAnswer: -281 - 181*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.5 - -0.5. Let n = 0.4 + h. Let w = n - 0.4. Do w and 0.4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 128\/7719 - 230533\/92628. Suppose -2*l + 2 = -v, -v + l = 4*v + 19. Find the common denominator of 2\/v - 62\/(-88) and z.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*v = 8891 - 8228 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -25\/5753?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356*a**2 + 363*a**2 + 360*a**2 - 1077*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvxsxsxxxsxsssvxs. What is prob of picking 1 x, 1 v, and 1 s?\nAnswer: 49\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*d = -0*s - 13, -d = 4*s - 1. Let f be s\/4*3972\/18. Let v = 55 + f. Find the common denominator of 75\/74 and v.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2671436\/5 at most as big as -534287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**7\/2520 + b**4\/12 - 2*b**2. Let g(y) be the second derivative of z(y). Let s(j) = j**2. Determine s(g(v)).\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8095063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 285 - 3119433?\nAnswer: -3119148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4\/7, 0.7, 7040, 0.1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 6*o + 66. Let f be -2 - (-48)\/22 - 42\/231. Calculate the remainder when y(f) is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**4\/f)\/f)\/f**(-4)*f**4*f**(-4))\/((f**4\/f**3)\/((f**2*f)\/(f\/(f*f*f**(-7)\/f)*f))) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 1\/6*n**3 - 7*n + 0 + 1\/2*n**2. Give g(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 3 = -i, 81*i - 48 = -4*b + 77*i for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 4*x + 20, 4*x + 16 = -4*r + 6*x. Let p(t) = -2*t + 10. Let m be p(-7). Let s be m\/(-4)*4\/(-6). Sort s, 2, r.\nAnswer: r, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -39 - 3?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 12 = 7*d, 367956*d = -t + 367961*d - 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000052248 rounded to six dps?\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 673611\nAnswer: -1\/673611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 0)*0\/1. Let h = n + -3. Is (-52)\/(-6)*h\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5151836221.\nAnswer: 7, 53, 13886351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-1452)\/72600)\/(16\/(-20))\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*z = -10. Let s(j) = -j**3 - j**2 + 5*j + 5. Let t be s(z). Let r = -55 + t. What is the remainder when r is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**4\/13 - 6104*m**3\/13 + 12226*m**2\/13 + 30528*m\/13 - 36648\/13 = 0. What is m?\nAnswer: -3054, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (4 + 10) - (2 + -7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0525671288 rounded to five decimal places?\nAnswer: 0.05257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000021279 to seven dps.\nAnswer: -0.0000213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4621*-0.15\nAnswer: -693.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -278 or 0.02862?\nAnswer: 0.02862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 + 210011012?\nAnswer: 210011032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -7 + 6 + -5 - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*l**4 + 770*l**3 - l**2 + 4*l + 326?\nAnswer: -84*l**2 + 4620*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -138*g + 68. Let l be i(-11). Let f be -4*((-200)\/32 + -9). What is the greatest common divisor of f and l?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/5)\/(m*m\/m**(-1))*(m*m*m\/m**(-12)*m)\/m**(-4\/13))**(-14) assuming m is positive.\nAnswer: m**(-12656\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25429 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1117360 is divided by 29393.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 4*i + 4*i)*(-2 + 2 - i) - 3*i + 4*i**2 + 3*i - 23*i**2 - 16*i**2 + 13*i**2 + (4*i + 3*i - 6*i)*(3*i + 0*i - 6*i).\nAnswer: -26*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0183322 to 5 dps.\nAnswer: -0.01833","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*r = 44*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, n: 1, g: 2, w: 4, e: 1}. Give prob of picking 2 k.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 16 = -2*x, -r - 3*x = -5725. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1308722*k**2 + 3 - 23*k**3 + 4*k - 170*k**3 + 1308722*k**2.\nAnswer: -193*k**3 + 4*k + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*m + 126 = -37*m. Let t(c) = 17*c + 5. Let s(k) = 8*k + 2. Let d(f) = 9*s(f) - 4*t(f). Calculate d(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5\/6 + -2\/3. Which is greater: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/972 and 157\/10842.\nAnswer: 1756404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a factor of 179550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2556696*n + 145733 wrt n?\nAnswer: -2556696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1389, 7\/24, 6, -5, 2\/19, 0?\nAnswer: -1389","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0317 from 197.\nAnswer: 197.0317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 8:27 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (7 - (3 - -2) - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 51.390783 milliseconds?\nAnswer: 0.0000142752175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/13, -3, 0.1, -0.1, 1026.4 in increasing order.\nAnswer: -3, -0.1, 0.1, 5\/13, 1026.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9605*j**2 + 7*j**3 + 14002*j**2 + 21115*j**2.\nAnswer: 7*j**3 + 44722*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -797*m - 42252. Determine j(-53).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 14, 6, 2, 3, -1, 163 in increasing order.\nAnswer: -5, -1, 2, 3, 6, 14, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h + 20. Give m(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/((-1)\/(-1) + 1). Let k be 2\/((-3)\/(1 + 11)). Let l be 2\/(-8) - 2\/k. Is c < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001 - 11000001111001101001?\nAnswer: -11000001111010010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 51509 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: In base 8, what is 2423 + 421055?\nAnswer: 423500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -43, -0.1, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 19371, -634, -1, 0 in ascending order.\nAnswer: -634, -1, 0, 19371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3091 = -35*w + 13604. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i. Suppose 32 = 14*n + 4. Let w(o) = -o**n + 0*o**2 + 0*o**2. Give w(v(j)).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 23*f**3 + 17*f**2 + 9*f + 9. Let x(q) = 6*q**3 + 4*q**2 + 2*q + 2. Let w(c) = -2*p(c) + 9*x(c). What is the third derivative of w(o) wrt o?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 15) to base 10\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - ((-61 - 1) + -1 + -5 + 1 + -5).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 2*j + 24, 15 - 17 = i + 4*j. Suppose -i*b + 107 = -83. Solve 5*d + h + 4 = b, 5*d + 4*h = 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129 - 124 - 3*h - 39 - 43 - 3*h**2.\nAnswer: -3*h**2 - 3*h - 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17422.8389349 - 10.\nAnswer: -17432.8389349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-386)\/(-7))\/(34\/2737)?\nAnswer: 23, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 4*l**3 - 85*l**2 - 2*l - 14. Calculate the remainder when 107 is divided by t(8).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 9. Let w(g) = 120*g - 2753. Let x be w(23). Let s be (f\/(-7))\/((-2)\/x). Solve -s*q + 2 = -0*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -6*v**2 + 2*v + 2. Let r(q) = 30*q**2 - 11*q - 11. Determine 4*r(z) + 22*u(z).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**2 - 11*b**2 + 4*b**2 + 0*b**4 - 6*b**4 wrt b?\nAnswer: -144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -1. Let s(w) = -w**3 - 3*w**2 + 7*w - 4. Let b(x) = s(x) + 2*z(x). Does 12 divide b(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(6230\/(-190) + 33).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 118 + -166. Let s = -50 - l. Let a(v) = 2 + 2*v**2 + 3*v + 1 - 1 + 0. Determine a(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**3\/6 + 13*q**2\/3 - 295*q\/2 - 2457 = 0.\nAnswer: -39, -14, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -30*u**3 + 4*u**2 - 10*u - 11. Let t(l) = 10*l**3 - l**2 + 3*l + 4. Let m(i) = 3*k(i) + 8*t(i). Is m(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-14 - -9 - -9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -161433 divided by 161?\nAnswer: -161433\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29712650*d**2 - 33652711*d wrt d?\nAnswer: -59425300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 53.23 times 2\nAnswer: 106.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 2*b + 175262 = 0, -23*b + 25*b = k - 29229. What are the prime factors of k?\nAnswer: 131, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1433.61, 2\/11, -1\/10, 1?\nAnswer: 1433.61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + k = 4*k - 5, 5*j - 6 = -k for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r + r**3 + 3*r + (5*r**2 - 14*r**2 - 10*r**2)*(2*r + 0 + 0) - 3*r + 3*r + 9*r**3 to n*r**3 + t*r**2 + u + h*r and give n.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 77875634 times 2?\nAnswer: 155751268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1127044, 2254062, 3381078, 4508092, 5635104, 6762114, 7889122?\n\"Answer: -i**2 + 1127021*i + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - 3)*(39180\/5596 + -7). Which is greater: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*c**2 - 210*c**2 + 46*c**2 + 32*c**2.\nAnswer: -65*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**4\/24 + 7*n**3\/6 - 5*n**2. Let y be w(-3). Sort -3, y, 1.\nAnswer: -3, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 7 + 1 - -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25333 - 151364 - 22889 = -4380*o for o.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one fifths of a kilometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -9\/7 (b) 5 (c) -0.2 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11020020122 (base 4) to base 12.\nAnswer: 549962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 9:33 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-2))\/(3*1040\/(-360)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67794776.\nAnswer: 2, 7, 17, 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -0.304\nAnswer: 3.696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jpbpbjxbppjrxpppxr. Give prob of picking 1 x and 1 b.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 34 = 1. Suppose 7*v - 28 = t*v. Calculate the greatest common divisor of v and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 2. Solve 3*a = -k - 13, 0 = -3*k + j - 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 - (-1491)\/(-63))\/((-4)\/3)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 26 - 14 = 0. What is the remainder when 68 is divided by 78*5\/10 - j?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 11 + 2 - -3. Let u be ((-140)\/(-6))\/(5\/o). Let z = 147 - u. Is 37 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p - 4*p - p + 10. Suppose 74 = 4*c - 5*m, 4*c = -0*c - 5*m + 54. Suppose 3*b + 2*y = 11, -3*y - c = -3*b - 4*y. Determine h(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 7) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 1 = 11, 5*a - 3*r = 71. Solve -3*p = -7*p + a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56 + 57. Let l = 0.12 + 36.88. Let a = l + -38. Sort -0.1, x, a in descending order.\nAnswer: x, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 613685 is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x - 9242*x**2 + 4*x - 4 + 9231*x**2. Let r(u) = -u**2 - 1. Determine -l(d) + 4*r(d).\nAnswer: 7*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(6\/11)*f\/(f\/f**(-1\/4)))**(-34)\/(((f\/f**(-1\/9))\/f**(2\/13))\/(f**(-1))**(-14\/5)) assuming f is positive.\nAnswer: f**(-105569\/12870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -4, 0, -67, -191, -7 in decreasing order.\nAnswer: 4, 0, -3, -4, -7, -67, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**2\/7 + 507328*j\/7 - 507330\/7 = 0. Calculate j.\nAnswer: -253665, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 7*f - 2. Let j be g(2). Suppose -4*r + 47 = 3*i + 2*i, -5*r + j = 2*i. What is the least common multiple of i and (-3)\/((-15)\/330*3*2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.2 times -4.4\nAnswer: -14.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.76 + -36.76. Let a = 36.41 + y. Let o = -4.59 - a. What is the third smallest value in 0.2, -1\/5, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.08, 84, 0.9, 0, 0.5 in increasing order.\nAnswer: -3.08, 0, 0.5, 0.9, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18047615*m + 9929486 with respect to m.\nAnswer: 18047615","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21*c**2 - 26 + 539*c - 539*c wrt c?\nAnswer: 42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20737\/1645 + 2\/329. Which is greater: -14 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**3 - 622*d**2 = 0?\nAnswer: 0, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 4*o, -210 = -5*s + o. Let 15*z**5 + s*z**2 + 0*z + z**5 + 180*z**3 + 8*z - 158*z**2 - 96*z**4 + 16*z = 0. What is z?\nAnswer: 0, 1\/2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1180 - 1108 - (0 - (-11 - (0 - 1))) - 10.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*((-8)\/3)\/4. Let j(y) be the first derivative of h*y - y**2 + 0 - 4 - 3*y. What is the first derivative of j(n) wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r**4 + r**2 + 13*r**3 + r + 5 - 13*r**3 as l*r**4 + a*r + z*r**2 + u*r**3 + q and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + ((-32 + -9 - -19) + 42 - 14).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/14)\/(0 - 14\/(-147)). Let s(p) = 3*p - 4. Suppose 0 = l - 4*n + 16, 2*l + 11 = -2*n + 29. Let o(t) = -2*t + 3. Calculate h*s(d) + l*o(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2432843 to the power of 1\/3, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 408 = k, s - 8*k - 408 = -11*k. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 4*w = -5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -13 and -6\/1943 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -16885 times -0.1385?\nAnswer: 2338.5725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 624 and 80.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/11)*z*z)**(-19\/2)*z*(z*z\/z**(-17))\/z*z**(-38))**9 assuming z is positive.\nAnswer: z**(-3591\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**3 + 87*c**2 - 41*c - 74. Let z be o(43). Solve 2*q + z = -2*v, -2*q + 3*v = -v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 315?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5373172 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: b\"What is the th term of -20312, -20092, -19904, -19748, -19624?\n\"Answer: -16*b**2 + 268*b - 20564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 9*a**2 - 19*a - 7. Let l = -40 - -39. Let i be (-4 - -8)*2*l. What is the units digit of t(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201 - 322030202101?\nAnswer: -322030202302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10495699 and 10?\nAnswer: 104956990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 18729 and 0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-5 - -13) + -8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 divided by -6?\nAnswer: -223\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 73887139.\nAnswer: 73887138.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -36163981?\nAnswer: 36163982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/70)\/(10\/35*9)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -62 (b) 80 (c) -1\/4 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 n when two letters picked without replacement from {x: 1, s: 3, g: 4, n: 3}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 13, -5, 117, 11, 5 in decreasing order.\nAnswer: 117, 13, 11, 5, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 5 = -2*m - 0, 5*m - 3*h = 40 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2147)\/11 - (4 - 2). Let p = t - -197. Which is greater: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 474 - 337. Calculate the remainder when s is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + (15\/30)\/((-2)\/(-20)). Sort -5, 3, -4, g.\nAnswer: -5, -4, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**8\/42 + 17*t**4\/12 - 62*t**3\/3 - 15*t**2 - 6*t. Let i(n) be the first derivative of s(n). Differentiate i(l) wrt l.\nAnswer: -160*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 11:29 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-10) - 1466\/(-20). Let y = m - 131\/5. What is the common denominator of 2\/(-36)*(-75)\/2 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16305 <= 16305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6272000 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 668046\/23 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17186*k*l*r**2 - k*l + k*r - k + 8*l*r + 22*l wrt r.\nAnswer: 34372*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/14, 0, 1.2, -2\/3, -114, 1 in descending order.\nAnswer: 1.2, 1, 1\/14, 0, -2\/3, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-20) + 18\/5. What is the first derivative of x**3 + 2 + x**q + 0*x**3 wrt x?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(-78)*(-2)\/(-2)*-2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -10*y - 10. Let q(d) = -21*d - 20. Calculate -2*q(r) + 5*w(r).\nAnswer: -8*r - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2725.255459+-0.5\nAnswer: -2725.755459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1534282, -1534252, -1534222?\nAnswer: -1534192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*l**2 - 20*l**2 + 31*l + 14*l**2 - 13*l**2.\nAnswer: -108*l**2 + 31*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qocqjjjoofjjfjl. What is prob of picking 1 l, 1 q, and 1 c?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16*(105\/10)\/(-21) + 6)*675\/18?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 84109*-0.3\nAnswer: -25232.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6561\/65 + 1320\/13. Let w = 4 - 3.95. Which is the third biggest value? (a) w (b) z (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y + 76 = 7*y. Let z = y + 14. Which is smaller: -3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 41615.46 milligrams?\nAnswer: 41615460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1968 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + h**3)*(-4*h + 0*h + 5*h + (-2 + 4 + 10)*(-1 + h - 1 - 4) + (2 + 0 + 3)*(5*h + 2*h - 5*h)) to f*h**4 + r + v*h**2 + l*h**3 + c*h and give f.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1659.\nAnswer: 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = v. Suppose v*o - 5 = 1. Suppose o*z = -z + 60. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -304400*c**2*h - 2*c**2*z**2 - 13*c*h*z**2 + 2967*c*h - 5*z**2 wrt c?\nAnswer: -608800*h - 4*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 smaller than -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/41 in -1991, 0.23, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6*(12\/(-112))\/(9\/18)\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**2\/2 - 2*y - 5616 = 0.\nAnswer: -104, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 - 8)*(17 + 6*x - 17)*(-5*x**2 - x**2 + 5*x**2).\nAnswer: 78*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**6*x + 5*b**5*x - b**4 - 6*b**2 - 432*b*x + b wrt b.\nAnswer: 120*b**3*x + 300*b**2*x - 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1971 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/54909743 and 149\/47065494.\nAnswer: 329458458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147 - 408 = 759*f - 796*f for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((2 + -2)\/(-1))\/1. Solve m = 3*d + 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2018*n = -2044*n + 74386. What are the prime factors of n?\nAnswer: 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/1876140 and 97\/2188830?\nAnswer: 13132980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -0.984625\nAnswer: -0.984625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -31 + 8\/(-4) + 3. Let h be (3\/(-3) - 0)*j. What is the greatest common divisor of 75 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 240 and 192.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 126\/36*(-6)\/14?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34998 is divided by 473?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -536 + 764. Let q = 231 - j. Sort 1, -2, 12, q.\nAnswer: -2, 1, q, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 122 + -122.2. Let s be (-18)\/(-20)*(-5)\/(-6). Which is the second smallest value? (a) s (b) 3\/2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238765189.\nAnswer: 13, 683, 26891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s - 1. What is the remainder when 7 is divided by o(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.123 - -0.06. Let x = 0.337 - i. Which is the third biggest value? (a) x (b) 2\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l*l*l*(l*l**1\/l*l*l*l)\/l)\/l))**(-45)*(l**(-2\/3)*l)**(2\/7))\/(((l\/(l*l**4))\/(l**(-2)\/l))\/(l\/(l\/l**(-1))*l\/l**3*l*l)) assuming l is positive.\nAnswer: l**(3782\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/3)\/i)**(-23\/2)*i**4\/(i*i\/((i\/i**(-15)*i*i)\/i)))**(-29) assuming i is positive.\nAnswer: i**(-3973\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.781 to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -23\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*x + 128*x + 1089180000 = 0. What is x rounded to the nearest 1000000?\nAnswer: 61000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1239, 1265, 1315, 1395, 1511?\n\"Answer: g**3 + 6*g**2 + g + 1231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 2 - 6. Suppose 5*j = 4*w - 584, -j = -s*w - 0*j + 286. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -2561 in increasing order.\nAnswer: -2561, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-6)*(-2 - 4). Find a, given that 4*a - x*a**2 - 5*a**2 + 5*a**2 - 2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 rounded to the nearest 10?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -25. Let u = 110 + -106. Let q(n) = 7*n**3 - 4*n**2 - 4. Let i(j) = j**3 + 25*j - j**2 - 25*j - 1. What is p*q(s) + u*i(s)?\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 108*l*m**2 + 2071*l*m + m**4 - 2*m**2 wrt m.\nAnswer: 216*l + 12*m**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 43*h - 2019. Determine g(49).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1414, 5691, 12842, 22885, 35838?\n\"Answer: 3*h**3 + 1419*h**2 - h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-5) + 9\/15.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.5 + 9. Let d = 0 + z. Let n = -0.4 + d. What is the third biggest value in n, 0.2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26\/(-2) - 16\/4. Let p be f\/(-4) + -1 + 13\/(-52). Solve -2*k = 2*y - 4*y, -k - p*y = 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 15. Suppose 4*g - 2*g - a = 0. Solve -4*l + 3*x + 31 = 0, 5 + 8 = -g*l - 5*x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -205, -233, -259, -265, -233, -145, 17, 271?\nAnswer: 635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g**(20\/7)\/g)*g)*g**(2\/27))\/(g**(-25)*g**(-26)*g*g))**(-13) assuming g is positive.\nAnswer: g**(-122681\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -3\/5, 206?\nAnswer: 206","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*x + 2*x**2 - 33*x - 624 + 626 + 615*x.\nAnswer: 2*x**2 + 763*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(176) + sqrt(11)))**2 - (sqrt(77)*-2 - sqrt(77))\/sqrt(7).\nAnswer: 3*sqrt(11) + 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 169 - 162. Solve -5*m + z*m = -8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**5\/10 + 7*u**4\/6 - 8*u**3\/3 + 4*u. Find p such that m(p) = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2)**(-19)\/(l*l*l**(2\/3)*l*l\/l**(-1\/8)*l) assuming l is positive.\nAnswer: l**(-1051\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -320464.9*4.\nAnswer: -1281859.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7 - (-2 - 0))*(-22)\/55. Solve i*g = -5 + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 - 1. Let h be 4 + 74\/(-19) + (-468)\/1197. Which is the closest to h? (a) q (b) 1\/10 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5806319 (base 10) to base 5\nAnswer: -2441300234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4286 - 1502 = 0. Is 0.1 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 609*m**3 + 1 - 302*m**3 + 0*m**2 - 310*m**3 + m**4 + 10*m**2 in the form i + n*m + c*m**4 + k*m**2 + d*m**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*c**2 + 1)*(2 + 5 - 5) + 2*c + 1148 - 1148 + 13*c**2.\nAnswer: 9*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34.90053 - -159.89876. Let n = -125 + z. Round n to four decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.17 (b) -0.02 (c) 1\/262 (d) -3\/536\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2501 + -2498. Solve 3*k - 5*a - 9 = 0, 5*k + 72 = d*a + 87 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-240) + (-1)\/4.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 2*k - 10, -1071 + 1075 = -4*m for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -400937, -801872, -1202809, -1603748, -2004689?\n\"Answer: -f**2 - 400932*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 957 a factor of 35693351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-202)\/20 + 10)\/((-5)\/(-15)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 43906 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = -2*k - 30 + 75, -10 = 3*k - 5*s. Solve -4*v - 15 = a, -k*v + a - 6 = -2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 8)*(-330*m**3 - 26*m**3 - 109*m**3 - 30*m**3).\nAnswer: -4455*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q + 2*q + 4*q + 14*q in the form f + y*q and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -15987319 divided by 2?\nAnswer: -15987319\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*t**2 + 1)*(-t + t - 2*t**3) + (-t - 2 + 2)*(-683*t**3 - 22*t**4 + 683*t**3).\nAnswer: 26*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 112 - 97 + 115)*(j + 0*j - 3*j).\nAnswer: -266*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 20 = -40. Solve -2*b = 2*b - a for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 478672 divided by 29917.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/7 - 1682*n**2\/7 - 715616*n\/7 - 6988960\/7.\nAnswer: -(n + 10)*(n + 836)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*x**6 + 1381*x**5 - 4*x**2 + 2*x - 272?\nAnswer: -480*x**3 + 82860*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 1096 = 2104. What is p rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -14*o - 36. Let b be r(-3). Let d be ((5 - b) + 11)\/(13 + 0). Suppose 5*m - 20 = 5*q, 4 + 0 = -4*q + m. Which is bigger: q or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.62 and 695.\nAnswer: 694.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/12 (b) 0 (c) 0.3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 77\/(-14)*(-2 - 0). Let h(v) = v**2 - 2*v - 5. Let n be h(6). Let o = n - r. Calculate the smallest common multiple of o and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**5\/7 - r**4 - 11*r**3\/7 - 5*r**2\/7.\nAnswer: -r**2*(r + 1)**2*(r + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.02, 0.5, 1686927 in descending order.\nAnswer: 1686927, 5, 0.5, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18257964?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + l**2 + l**3)*(-9 - 17*l + 9)*(-1 + 5 - 3 + 4 - 2 - 4 + (0 + 0 - 2)*(3 + 0 + 1)).\nAnswer: 153*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 4*i + 2. Let y be ((-6)\/(-3))\/(2 + 0). What is the remainder when n(4) is divided by y*-1 - 10\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1114 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, -3.13, 151, -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q**4 - 3 - 4*q**4 + 9*q**3 - 8*q**3 + 20*q**4 as n + f*q**4 + g*q + d*q**2 + k*q**3 and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 0, 11, 28, 51, 80, 115, 156?\n\"Answer: 3*x**2 + 2*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-2\/5)*l)\/(l**0\/l*l))**35)**(-17\/2) assuming l is positive.\nAnswer: l**(-714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -19*f + 28. Let s be w(-4). Suppose -113*i = -s*i - 90. Solve t - 3*t + 4*d = -i, 5*t - 16 = d for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21425 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27963*q + 1560 = 27923*q for q.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44920924.\nAnswer: 2, 11230231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 8*s**2 - 9*s + 40. What is v(7)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1554 divided by -42.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -0*h + 5*h + 4*g, -5*h + 57 = g. Let s be 1582\/8 + -3 + 39\/h. Find the third derivative of 5*f**2 - 99*f - 99*f + 10*f**3 + s*f wrt f.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47.6 + -47.533. Let j = x - 0.267. What is the nearest to 4 in j, 1, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 208442, 416746, 625050?\n\"Answer: 208304*x + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -75544.6 at least 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 147004 and 10280.\nAnswer: 1470040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00634900288 to six decimal places.\nAnswer: 0.006349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - l = 2, 8 = -4*i + 25*l - 23*l. Let o be (75\/24 - i) + (-11)\/88. Let d = 2 + 10. Solve -d = -o*x + x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 - 37.3. Let m = 6.3 + s. Which is the nearest to 3? (a) 0.1 (b) 3\/2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 947428 by -2173.\nAnswer: -436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 325.04 at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -113067179 or -113067180?\nAnswer: -113067180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 5)*(-4 - 2*m + 4) + 29 - 29 + 13*m in the form w*m + k and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8936200 and 396760?\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 52 = -2*r. Suppose -4*p - 8 - r = 0. What is the common denominator of 2164\/240 - 6\/p and -31\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -1\/3, 0.1, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 478 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13743180 is divided by 292408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4\/7 + 62166*a**3\/7 + 3547794*a**2\/7 + 9633646*a + 427178520\/7.\nAnswer: -2*(a - 31140)*(a + 19)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100218 = -1616*y + 72470 + 68602 - 36058 for y.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by (-24)\/(-9)*((-126)\/(-12) - 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48*p**5 - 5*p**5 + 13*p**5 + (-4*p + 3*p + 3*p)*(-p**3 - p**4 + p**3) - p**5 - 2*p + 2*p.\nAnswer: -43*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -478 + 477.9999429. Round p to 6 decimal places.\nAnswer: -0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooeoooeoo. Give prob of sequence ee.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4 - -3.65?\nAnswer: 1.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 12. Let -3*b**2 + 3*b**u - 6 + 9 + 0 - 3*b = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*a - 2508 = -380*a - 14388 for a.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -24. Let d(k) = 2*k - 42. What is the least common multiple of d(27) and v?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -162757610 or 1?\nAnswer: -162757610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1573694753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 6*b + 7. Let n be a(-7). Let y(f) = f**3 + f**2 - f + 1. Let j be y(1). Which is smaller: n or j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bt when two letters picked without replacement from but?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 18507409?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -738150 by 147630.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -6) + -16 - ((-1504)\/(-440))\/((-2)\/5).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 158. Let t = h + -63. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 60 = -2*b + 4*j, 0 = j. Suppose -17 = -3*i - 2*a, -7*i + b = -2*i - 5*a. Solve 2*p - 4*d = i + 5, -3*d - 15 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 4*m + 13. Suppose -4*d = b - 22, b - 4*d = -4*b - m. Solve -5*t - 4*n = 4 - 2, -4*t - b = 3*n for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 1618 = -598. Calculate the remainder when d is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3954828 (base 10) in base 12?\nAnswer: -13a8810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.2590014375 + 5.259. Round q to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of o**5\/60 - 7*o**4\/24 - o**3\/6 - 5*o**2. Let u(h) = h**3 - h**2 - 3*h - 1. Let d be u(3). Is 7 a factor of x(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 6 - s**2 - 31*s + 117*s - 33*s as p*s**2 + i*s + l and give i.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115994 = 4*w - 3*m, 4*m + 18348 = -w - 10660. Round w to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**2\/5 + 39888*w\/5 + 7977 = 0. Calculate w.\nAnswer: -13295, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6463 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, f: 14, e: 1}. What is prob of sequence fef?\nAnswer: 13\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 119559655 - 80822342173\/676. Let i = -7\/338 - v. Calculate the common denominator of i and 47.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146889 - 73822 + r**3 - 73067.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 446 is divided by 154.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1466192?\nAnswer: 2, 7, 13, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 7*a + 23. Let u be p(9). What is the second derivative of -12*b**u + 23*b**5 + 12*b - 16*b wrt b?\nAnswer: 220*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 1 - 23. Let k = c - 7. Solve 0 = -a - 2*a + k*r + 6, 2*a - 11 = 5*r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3200162 bigger than -3200162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/(-858)*11)\/((-3)\/(-114)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*a**4*z**2 + a**4*z - 39*a**3*z**2 + 2*a**2 + 2*a*z**2 - 2*a + 1 wrt a?\nAnswer: 288*a*z**2 + 24*a*z - 234*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -385, -383, -381?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53182 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -4 - (-14 + 23)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 174\/4*((-4)\/(-20) - 4361\/(-245)). Solve 0 = 15*p - s + 663 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2475935*f**3 + 9*f**2 - 3*f - 1017112 wrt f.\nAnswer: -14855610*f + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, y: 1, i: 4, j: 2, l: 2, f: 2}. Give prob of sequence fyr.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-16))\/((-47)\/1316).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 4841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -560 and 0.0809172?\nAnswer: -45.313632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/7 and 44\/5221.\nAnswer: 36547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(1\/2))**36\/(u**(-1\/3)\/(u*u**3)))**(-2\/49) assuming u is positive.\nAnswer: u**(-134\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - v + 14. Let b be n(7). Suppose -25*d + b*d - 31992 = 0. What is the hundreds digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 9*u. Let w(g) be the first derivative of 0*g**2 + 6 - 2\/3*g**3 + 0*g. Determine w(b(o)).\nAnswer: -162*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (-6 + (27 - 17)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/m**8)*m**9)**1 assuming m is positive.\nAnswer: m**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**5 + 5*g**4 + 4*g**3 + g**2.\nAnswer: g**2*(g + 1)**2*(2*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/19, 29\/2, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-14)\/(-21))\/((-16)\/(-7032)). Suppose -2*x = 3*n - w - 68, -5*x + 5*n + 915 = 0. Calculate the greatest common divisor of x and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**5\/20 - s**4\/6 + s**3\/3 + 2*s. Let h be z(-3). Let -3\/2*x**2 - 2 - 3*x - 1\/4*x**h = 0. Calculate x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11437\/445 - -80\/89. Let z = -27 + p. Does -2\/109 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eiiieieiii. What is prob of picking 4 i?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 5*s = 18. Suppose 0*x = -s*x + 3*a + 189, 4*a + 188 = 3*x. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014355 rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 891*z - 921*z + 120 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/15*(-96)\/(-224)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -506*m + 10*m + 2 + 157*m + 227*m + 1 - 2.\nAnswer: -112*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1007 - -1999. Is j a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y\/(y*y**(-3)*y)))\/y*y**0 assuming y is positive.\nAnswer: y**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 10 = 0, -5*k + 0*k = -t - 28. Suppose 0 = -11*a + k*a - 160. Let l = -12 - a. What is the lowest common multiple of l and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -487887 or -487898?\nAnswer: -487887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 3, 0.4, 0.029, -4, 1?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -695, -1395, -2097, -2801, -3507, -4215, -4925?\nAnswer: -5637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 + 57285*b**2 + 802431*b + 2809023.\nAnswer: -3*(b - 19109)*(b + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-57)\/57)\/(2\/6)*14\/(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 279 and 2883.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(42))\/sqrt(2) - -6*sqrt(84)\/sqrt(4))\/(-1*(sqrt(175) - (sqrt(175) + sqrt(175) + (sqrt(175) - sqrt(175)*-2 - sqrt(175))))).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -39?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 - 4.4. Let r = 0.96 - -1.04. Which is the fourth biggest value? (a) 4 (b) r (c) -3 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -j**7\/3780 + j**6\/540 - j**5\/180 + j**4\/108 + j**3\/3 + 8. Let p(m) be the third derivative of w(m). Factor p(l).\nAnswer: -2*(l - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502903 is divided by 125721.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -1. Let k(s) = 2*s - 8. Determine -5*d(b) - k(b).\nAnswer: -2*b + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27*80.1.\nAnswer: 2162.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -1 - -2 - (70 - (-139 - -308))\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18\/313? (a) 3 (b) 0.5 (c) 2\/9 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 31803 + 10606 + 10594 + 10603.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4 - 3*g + 8*g**3 + 21 + 3*g**3 + 2*g**2 - 4*g**3. Let h(t) = t**3 + t. Let b(c) = -3*h(c) - i(c). Find the third derivative of b(q) wrt q.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*g**5 - 3*g**4 + 23*g - 4?\nAnswer: -720*g**3 - 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 113895425\/740146 + -1\/43538. Let r = -154 + o. Which is the second biggest value? (a) -2 (b) -3\/5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 7 = 4*c, 4*o + 25 = 5*c + 11. Suppose -4*d + d + 3 = 0. Sort d, o, -5 in descending order.\nAnswer: d, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 55*(-2 - (-36)\/15)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 - -0.08. Let z = 0.9 - 1. Let t = 4 - 0. Which is the closest to -1? (a) t (b) z (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 5*n - 207, o = 5*o - 4*n + 216. Let g = o - -76. Let c = -80 + g. Round c to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -244498 * -0.008.\nAnswer: 1955.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/126 - (-38970)\/69713?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 5*j - 5, -20 = -2*j - 2*j. Let g = -29 + 31. Suppose 5*t - c*t = g. Solve 0 = x + 3, h = 3*h + t*x + 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 25. Let o = -11.3 - d. What is the second smallest value in o, 4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*y**4\/13 + 90470*y**3\/13 + 879352*y**2\/13 + 2044270*y\/13 - 498700\/13 = 0. What is y?\nAnswer: -4987\/4, -5, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 o when two letters picked without replacement from {m: 7, o: 3, w: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 86 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, 181, 276, 375, 478?\nAnswer: 585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-182)\/(-13))\/(-490)*(-4 + 52\/20).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 301 - 116*y - 301. Let o(r) = r**2. Give d(o(i)).\nAnswer: -116*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 40*k**2 + 40*k - 27. Let z be 613\/(-15) - 11\/(660\/8). Calculate the remainder when 94 is divided by x(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + ((-6)\/8 - 1). Let t(w) = 2*w - 44. Let q(f) = 65*f - 365. Let k be q(6). Let z be t(k). Which is the biggest value? (a) -2\/7 (b) 0 (c) z (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -3, -22, -49?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2450 and 11927874.\nAnswer: 298196850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17598 + 8938. Is f a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.160675ml in litres?\nAnswer: 0.003160675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*m, -3*m + 22960 = 7*x - 2*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/21 of a week?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c + 10*c - 264 = 0. Suppose -c*i + 0*i + 693 = 0. Calculate the least common multiple of 147 and i.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a**3 - 4*a**2 - a + 4. Calculate f(-2).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 186167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2 - 3*g + 5. Let a be c(2). Let i(o) = -2*o**2 + 1. Let y be i(-1). Let l be (a\/5)\/(y\/5). Solve 7 = 4*t - l for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmrpkmmrcc. Give prob of picking 2 m and 1 r.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(133\/(-63) - -2)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4885248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-26))\/((-17)\/34)*1?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**5\/2 + 118*m**4 + 321*m**3\/2 - 39*m**2 - 80*m = 0. Calculate m.\nAnswer: -1, 0, 2\/3, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7436800 and 44?\nAnswer: 81804800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 136319 less than 136314?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1\/7, -4\/7, -0.151, 5\/4, 1\/4?\nAnswer: -0.151","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 3*p - 58258, p - 4*p = 3*d + 34974. Let c = -6120 - d. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from didjidjidjdiiddd. What is prob of picking 2 i and 1 d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 36, 170, 446, 912?\nAnswer: 1616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.407647689 to 4 decimal places.\nAnswer: 3.4076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16949 or 16955?\nAnswer: 16955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -155201*b. Let y(u) = -258*u. Calculate y(l(r)).\nAnswer: 40041858*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 12. Let q = m + -6. Which is the second smallest value? (a) 0.5 (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 159 (base 16) to base 10.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 2*t + 15, 5*t - 1969 + 1987 = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -19*a + 17*a. Calculate the remainder when 19 is divided by -1 + (-80)\/(-9) - a\/(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11477\/25 + 459. Let a be (-2)\/9 - (-152)\/36. Suppose a*q = 5*q. Which is greater: b or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 8, c: 1, k: 3, l: 6}. Give prob of picking 3 n.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from heeeeeee?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-6))\/((-6)\/(-342)). Let k(u) = 56 + 18 - r + u. Is k(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - (-12 + 8)) + -25.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/3 and 7\/(-1) + 21704\/2928?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -9 + (6 - 3) - 0. Let w be d\/4*(-4)\/39. Put w, 0, -4 in increasing order.\nAnswer: -4, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 30 + -1 - ((-91 - (-37 - 54)) + -7).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 7*j**2 + 9*j - 11. Let f(m) = -3*m - 7. Let l be f(-7). Let r = 5 - l. Let n be d(r). Calculate the greatest common divisor of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -26*b**3 + b. Let j be c(-1). Calculate the greatest common factor of j and 275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44758 divided by 84\nAnswer: -3197\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 71186*c + 56*c**2 - 71186*c + 0 in the form a*c + m*c**2 + f and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -900 - -900. Which is the nearest to n? (a) 16 (b) -1 (c) 0.4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) - (sqrt(99)*-2 - sqrt(99))\/sqrt(3))\/(sqrt(432)*-1).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 11:37 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8155 - 4429?\nAnswer: -10582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, f: 7}. What is prob of sequence fxx?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18928 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2030.\nAnswer: 2, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -708.71 less than -16.68?\nAnswer: 692.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + 3. Let d = z - -38. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 112 - -5?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 265191?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28092 by -6.\nAnswer: 4682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189, -187, -183, -177, -169, -159?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1721669399 + -0.54\nAnswer: -1721669399.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 504.79 + 10.21. Let d = -524 + o. Which is the second smallest value? (a) d (b) -1\/11 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1715, 1737, 1773, 1823, 1887?\n\"Answer: 7*x**2 + x + 1707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 323899558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -86650 or -86706?\nAnswer: -86706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 5*s + 890. Let x = 450 - s. Solve 4*m - 5*k = -6, -10 = -x*k - 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33222, 33328, 33434, 33540?\nAnswer: 33646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -967 = 14*n - 5741. What are the prime factors of n?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 - 8080916*z - 8080912.\nAnswer: -4*(z + 1)*(z + 2020228)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -31634213 less than -0.8?\nAnswer: 31634212.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (15 - 4) + (-57 - (11 + -16 + 5))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -28*t**4 - 94*t**3 - 114*t**2 - 100*t - 38. Let v(c) = 9*c**4 + 31*c**3 + 39*c**2 + 33*c + 12. Let m(g) = 2*d(g) + 7*v(g). Factor m(q).\nAnswer: (q + 1)**3*(7*q + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.11 and 45.\nAnswer: -4.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 t when two letters picked without replacement from xxxxxtveee.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7701, -6731, -5751, -4755, -3737, -2691, -1611?\n\"Answer: v**3 - v**2 + 966*v - 8667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -9 + 304\/32 - 22\/(-4). Solve -15*p + 6*p = c*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y - 8 = 13*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 5915*t + 3. Let z(q) = 37*q**2. What is d(z(i))?\nAnswer: -1369*i**4 + 218855*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 10:17 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3.93 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 125191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 640403 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 7*a + 1481 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 6. Let a = 4 + o. Is 7 a factor of (a + 21\/9)*33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1 + sqrt(200) - sqrt(200))**2 + sqrt(200)*2*5)*5.\nAnswer: 5 + 500*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-3*sqrt(875)*1 - sqrt(875))\/(3*-5*sqrt(7)*2))**2 + 5.\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t + 7. Let i(c) = -c - 2. Let o(d) = 6*b(d) + 21*i(d). Let a(s) = -2*s. What is a(o(q))?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 752*l = 17098 + 19750 for l.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80889, 323681, 728437, 1295151, 2023817, 2914429, 3966981?\nAnswer: 5181467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -1\/6*u**6 + 6*u + 0*u**2 - 1\/6*u**4 + 0*u**3 + 7\/20*u**5 + 0. Factor j(y).\nAnswer: -y**2*(y - 1)*(5*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 32528, 32531, 32532, 32531?\n\"Answer: -a**2 + 6*a + 32523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -32*y**3 + 44*y**2 + 169*y + 59. Let b(c) = -11*c**3 + 15*c**2 + 56*c + 18. Let l(s) = -17*b(s) + 6*u(s). Solve l(r) = 0.\nAnswer: -2, -1, 24\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3*sqrt(35)\/sqrt(5).\nAnswer: -3*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1161, -4211, -8545, -13551, -18617, -23131, -26481?\nAnswer: -28055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**2 - 423 + 105 + 110 + 103 + 101 + 11*o - o**3 to the form t*o**2 + y*o**3 + k*o + f and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 71 = 28. Let f = o + -31. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 33 = -3*w - 3*o + 5*o, 61*o - 28*o - 73 = -4*w for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 7:10 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-192428)\/(-365) - ((-8)\/10 + 1)?\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of 26*u**7\/105 + u**4\/24 + 11*u**3 - 23*u**2. Find the first derivative of p(y) wrt y.\nAnswer: 208*y**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 21 + 29 = 0. What is the units digit of (-172)\/t + (-3)\/15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -379*q = -378*q + 2*t - 5, -4*q + 42 = -3*t for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42623803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*2*sqrt(216))\/(-6*-1*sqrt(12)))\/((sqrt(1152)*2 - sqrt(1152))\/sqrt(3)*-3))**2.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 164613744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17222628 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 439?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4.55 and 4?\nAnswer: 8.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9347 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: Let m(l) = 21*l - 120. What is m(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d - 4. Let a be r(-4). Suppose 5*o - a - 13 = -s, -4*s - 5*o = -56. Suppose 2*y - 3 = s. Solve -5*t + y = -7*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -3) + 2\/(-1). Let v(k) = -k**2 + 3351 - 3345 - 32*k + 58*k - 27*k. What is v(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257 = 2*w - k + 32, 4*w = -3*k + 445. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**2*b**3 + 2869*a**2*b**2 + 2*a**2*b + 16593*a*b**4 + a + 2*b**3 - 32*b**2 - b wrt b.\nAnswer: -12*a**2 + 398232*a*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*v + 509 = -253*v + 3659 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5289 = -13*y + 336. Let k = y - -871. List the prime factors of k.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 162.3 + -176. Let l = p - -18. Let t = -3.04 + l. Round t to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 711122?\nAnswer: 2, 107, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -362 + 364. Find the second derivative of h**s - 12*h**3 + 47*h + h**3 + 11*h**3 + 108*h + 12*h**3 wrt h.\nAnswer: 72*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2423*s - 2944*s + 16358 - 207 for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 9:28 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3\/3325 (b) -3 (c) -5 (d) 2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 14*k**2 + 3*k + 37. Let j be a(11). Suppose j = 3*y - 105. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 - 2 + (-3 + 2 + 0 - 1 - 2 - 2 + (-5 + 1 + 3)*(-1 + 1 - 2))*(-1 - 2 + 2))*(0*p + 0*p - 2*p**2)*(27 - 27 + 4*p**3).\nAnswer: 8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2302.\nAnswer: 2, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.36 + 0.03. Let s = 3297667.6699966 - 3297668. Let d = k - s. What is d rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*i**3 - 5330*i**2 - 181472*i - 1923432.\nAnswer: -2*(i + 21)*(5*i + 214)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39\/4, -4, 4, -1\/3, 0.4 in increasing order.\nAnswer: -39\/4, -4, -1\/3, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-33)\/(-6) + 2\/(-4). Suppose -10 = 2*u - 4*l, u - 27 = -b*l + 3. Solve -u*p + 18 = 2*v - v, 2*v - 12 = -4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = -10*c + 2. Let j(d) be the second derivative of d**5\/20 + 14*d. Let t(z) = 3*z**3. What is c*t(n) - 5*j(n)?\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 5:45 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.71 - 0.67. Which is the second biggest value? (a) 5 (b) m (c) -0.5 (d) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51313, -51308, -51303, -51298, -51293, -51288?\nAnswer: -51283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91784500?\nAnswer: 2, 5, 183569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000074 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -711 + 194. Let u be g\/(-235) + (-1)\/5. Solve -16 - u = -2*l + 4*m, 2*m + 4 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + sqrt(28))*-6.\nAnswer: -72*sqrt(7) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6268549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (83\/(-9130))\/((-4)\/(-103)) and -95\/88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m + 3 - 2 + 2 + 0. Let h = 5 - 11. Let q(k) = 6*k - 2 - k + 9. Give h*q(n) + 14*u(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4080 and 3876?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.242 and 63612621.\nAnswer: 63612620.758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 74036.8 centuries?\nAnswer: 7403680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -52*a**2\/9 + 380*a\/9 - 200\/3 = 0.\nAnswer: 30\/13, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/(-12) - (-2532)\/(-432) and 109\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -368. Suppose 5*i + 2*f = 493, -3*i + 2*f - 75 + h = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 17.8. Which is the nearest to -1? (a) 0 (b) -0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-five halves of a meter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.058923 minus 142564904?\nAnswer: -142564903.941077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o - 3. Suppose 3*a = 6*a - 21. Does 4 divide y(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -544710 divided by 11\nAnswer: -544710\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0023187867 to five dps.\nAnswer: -0.00232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 2:04 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -2, 12.05, 1\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c + 19360*c**2 + 12*c - 19111*c**2.\nAnswer: 249*c**2 + 18*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and 6460?\nAnswer: -64600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*o - 542 + 185 = 318 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qvqqvqfffqqqvfvff. Give prob of picking 1 v and 2 f.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 1681*w**6\/180 + 41*w**5\/15 + w**4\/3 - 3*w**3 + 36*w**2. Let o(r) be the first derivative of d(r). Factor o(n).\nAnswer: 2*(41*n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 371 and 8561.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2436 + -2428. Solve 39 = -h*m - 5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3393156 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 4545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 450, 899, 1348?\nAnswer: 1797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -3 + 2 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24*3256\/3872*143\/(-26)?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212598491.\nAnswer: 7, 4327, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6727 + -2305. Let z be (j\/4)\/(3\/4). Let l = 7097 - z. Is l prime?\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) 0.5 (c) -5 (d) -3 (e) -0.5 (f) 2\/159\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 38) + 55204\/1332.\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 3*b + b)*(-4*b**3 - 3*b**3 + 4*b**3) - b - b + 4*b + b**4 - 4.\nAnswer: -2*b**4 + 2*b - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 32\/56*(-6)\/12*-14\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -660*c + 3926. What is v(6)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i**2 + 2*i - 1. Let y be b(-2). Let s be -56 + 48 - (-47 - -35). Solve 3 = -s*c + y for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -1 + (-49 - 23 - -5) + (67 - 56).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106*3*(-24)\/(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 241373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (36\/15)\/(12\/40). Let z be 1\/(-2)*f\/(-1). Let w be (-3 - -2)\/(2 - 25\/12). Solve -3*l + 17 = -5*t - 13, -w = z*t for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**3 - 2*u + 1. Let c be v(1). Suppose c*j - 8 = p, 0 = 4*j - j - 6. Suppose 0 = -a + 2 - 3. What is the nearest to a in p, -3\/8, 1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 1876*k**2 - 1308*k**3 - 1876*k**2.\nAnswer: -1308*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37207 is divided by 12397.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**3 - 3235580*f**2 - 51768256*f = 0 for f.\nAnswer: -808879, -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -112 + 189. Let u = n - 87. Is 95 - 16 - u\/2 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5610*z**2 - 56087*z + 16. Give j(-10).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -1 + 2 + 2*v - 2. Let t be (2 - (2 - 3))*(-11 + 16). Suppose -15*d - t = -45. Give w(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 29*k**2 - 111*k - 5804. Determine h(-22).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - (-5 + 5)) + 6. Are 2.1 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 204 (c) 0.162 (d) 7 (e) -5 (f) 2 (g) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*p**3 - 24*p**3 + 1 - 1.\nAnswer: -42*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 133493 (base 11) to base 2\nAnswer: 110011001010010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -6*d**3 + 2*d**2 + 4*d + 2. Let t(j) = -13*j**3 + 5*j**2 + 9*j + 5. Suppose 0 = -6*b + 18 - 6. What is b*t(a) - 5*g(a)?\nAnswer: 4*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 6:02 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81978 is divided by 257?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -1170654.\nAnswer: -1\/1170654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5007 = 203*b + 18608 for b.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003672467 to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*m + 15 - 34 = 31 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1001, 4060, 9191, 16388, 25645?\nAnswer: 36956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-806)\/50 - (66 - (-27 - -109))?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*m + 2*v, 4*m - 2*v + 4 = 2*m. Let j be (1 - -1 - 3) + m. Let t = -7 + 4. Sort j, -2, t in increasing order.\nAnswer: j, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 469615\nAnswer: 3\/469615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 651571 is divided by 9308?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, n: 4, i: 1, p: 2, h: 3, v: 1}. Give prob of picking 1 n and 1 p.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-13)\/w**6)\/(w\/(w*w**(-2)))**(-1\/15) assuming w is positive.\nAnswer: w**(-283\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n + 13*n + 406 = 32*n for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 122*j + 3. Let i be h(1). Suppose -4*m + i = m. Solve 2*f - 7*f = v - m, 4*v + 2*f = 28 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1657839 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: Let h = -27 - -8. Let u = -16 - h. What is the least common multiple of u and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r**2 + 16*r. Let u(o) = o**2 - o. What is b(j) + u(j)?\nAnswer: -3*j**2 + 15*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.609 to 1 decimal place.\nAnswer: -49.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3 + 1409*t - 484*t - 467*t - 461*t - 2*t**3. Let h(s) = 2*s**3 + 2*s + 2. Suppose -7*f - 8 = -3*f. Give f*x(j) - 3*h(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.7 + 0.2. Let l = 0.223 + 4.777. What is the smallest value in i, l, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/20)\/(66\/6578*-13)\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17368.\nAnswer: 2, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 73337485 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -24. Let k(n) = -n**3 + 2*n**2 + 3*n. Let p be k(r). Suppose p = -4*o + 3*u + u + 44, -5*o - 2*u + 55 = 0. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97003*p - 85 + 174 + 2659*p - 89.\nAnswer: 99662*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -50078 divided by 49\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -92*l + 7730. Let k be h(84). Solve o - 2 = k*o, -2*i + 2 = -3*o for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*k - 74 + 8. What is the common denominator of 77\/78 and ((-1)\/k*-2)\/(57\/646)?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 23. Let z(k) = k**2 - k - 4. Let l be z(w). Solve -m = n - 0*m + l, 8 = -n - 4*m for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1541*u + 1522*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 104687 + 54078 - 10730 = 0. Round m to the nearest 100.\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35*q**3 - 4*q**4 + 35*q**3 + (-2*q + q**2 + 2*q)*(-q**2 + 2*q**2 + 0*q**2) - q**4 - 2*q**4 - 3*q**4 + (-2*q**3 + q**3 + 0*q**3)*(6*q - 2*q - 2*q).\nAnswer: -11*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1158 is divided by 581?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*j**3 + 2*j**2*s - 1398998*j*s - 382393081*s wrt j?\nAnswer: -36*j**2 + 4*j*s - 1398998*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3636657844 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2767740.\nAnswer: 2, 3, 5, 163, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 - 126*z + 600. Determine a(59).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1068 or -1072?\nAnswer: -1072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -29*n**3 + 6*n**2 + 5. Let s(w) = -15*w**3 + 3*w**2 + 2. Calculate 5*s(t) - 2*x(t).\nAnswer: -17*t**3 + 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = -o + 3*q, -2*o + 7*o - 390 = 4*q. List the prime factors of o.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 1076205460?\nAnswer: 7533438220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-8)\/(-22) + (-25818)\/163020 and -39\/100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1787065 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 6*s**2 - 15*s - 5. Let m be o(8). Suppose 4*i - m*j = 239 + 269, -2*i + j = -252. Calculate the smallest common multiple of i and 20.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 543750494?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - (6\/2 - 1). Let t be 12\/(1 + (-105)\/(-75)). Solve s*k - 20 = -t for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-6))\/((-1)\/(-6)). Suppose -c - 4*c - 30 = 0. Let z(s) = -s**2 - 5*s + 8. Let x be z(c). Solve -n - 15 = 2*l, -5*l - 25 = u*n - x*l for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 3:11 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 86 - (-122 - -94 - -99)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 + 32*d - 2. What is c(-13)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-24))\/((-29)\/(-116)) + 5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -3. Suppose u = 4*w - 5*w. What is the units digit of w*2 + 4 + 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3694\/7 + (-8)\/(-28). Let y = l - 285. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f**2 + 112554*f - 38836912 = 0. Calculate f.\nAnswer: -112898, 344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 41*w**2. Suppose r + 6 = -r + 2*d, r = -5*d + 27. Let i(l) = -6 + l**r + 9 - 3. Calculate a(i(x)).\nAnswer: 41*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13530843409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 4:45 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(95)\/(sqrt(5)*-1 - sqrt(5)))**2 - sqrt(19)).\nAnswer: -sqrt(19) + 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*t + g, 0*t + 2*g - 4 = -t. Solve t*q = w - 12, 0*q - w = -2*q - 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -297908052 divided by 4\nAnswer: -74477013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 2*s**2 + 2. Let w be v(-2). Suppose -27 + 11 = 4*o. Let x be (2\/6)\/(o*(-6)\/288). Solve 5*z = -w*m - 15, 3*z + 40 = x*m - z for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 656?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 9?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + -1.8. Let s = 3391 - 3394. What is the smallest value in s, 0.6, o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.8 - 4.2. Let x = -0.5 - -0.54. What is the closest to -0.2 in -5\/4, x, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -19*p**3 + 5*p - 16*p**3 + 60*p**3 - 3*p**2 - 26*p**3 + 1. Let w = 11 + -15. Determine h(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g**2\/g))**50\/(g*g\/(g\/(g*g**(-6)))*g**(3\/4)\/g))**(-25))**(4\/9) assuming g is positive.\nAnswer: g**(-425\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -68080?\nAnswer: -6807a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 163*a*c**3 - 17*a*c**2 wrt c?\nAnswer: 978*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 is divided by ((-1*2)\/(-2))\/(1\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 9674.\nAnswer: 435330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16636 (base 11) to base 13.\nAnswer: -a855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**4 + 2*j**4 - j**4 + (76*j - 87*j + 30 - 25)*(-j**3 + 2*j**3 - 2*j**3) to the form w*j**2 + q*j**4 + p*j + g + b*j**3 and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -l**6\/6 - l**4\/3 - 29*l - 51. Let p(u) be the first derivative of a(u). What is the third derivative of p(t) wrt t?\nAnswer: -120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00035948 rounded to six decimal places?\nAnswer: 0.000359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, l: 7, g: 4}. What is prob of picking 4 l?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20184.5 - 20185. Suppose -3*i = -5*i - 2. Sort 1.7, i, s in increasing order.\nAnswer: i, s, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75893.66us to milliseconds.\nAnswer: 75.89366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (168\/(-54))\/7*3\/2. Which is the nearest to k? (a) 1 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(4*(-5)\/(-460)). Let v = -21 - k. Solve -2 = -2*q + v for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**5 - 3*t**3 + 3*t**3 + (36 + 31 - 13)*(2*t**5 - 2*t**2 + 2*t**2) - 2*t**5 + t**5 + 0*t**5.\nAnswer: 105*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12730, 12715, 12700, 12685, 12670?\nAnswer: 12655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 28\/20 - (-26)\/(-440)*16\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1259134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (93*49\/45570)\/(5\/(-4))\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, -7, -1\/17 in ascending order.\nAnswer: -49, -7, -1\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -646 - -655. Let i be (-900)\/132 + (f - 0). Is i less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-9) + (-656)\/18)*27. Round f to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12778 + -12592. What is the highest common factor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 260020\/44 + 18\/(-33) - (-1 - 5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 3248621.\nAnswer: 3248621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57 + (-8927)\/158)\/((-6)\/(-9) - (-37)\/(-78))?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/((-4)\/(-1 - 1)). Suppose 2*p - 24 = -p - 3*u, -y*p - u + 14 = 0. Suppose -2*l + 12 = l + p*f, 5*f = 4*l + 29. Sort 5, l, -2.\nAnswer: -2, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -18\/13, 8, -5, 0.5, 4\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 19 = -5*k + 57, -4*l - 4*k + 176 = 0. Suppose -2*r + r = -l. What is the highest common factor of r and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*i = 5*j - 25*i + 271, 4*j = -i - 218. Let a be 136\/(-2) - (-2)\/(-1). Let w = j - a. Calculate the smallest common multiple of w and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 12 = 0, 10*c + 16*c + 23*r + 9 + 36 = 29*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1053*x**3 + 2107*x**3 - 1053*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/20 + 8\/20.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1040, -2010, -2968, -3908, -4824, -5710?\nAnswer: -6560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 6*s - 4*c + c - 6, -5*s - 45 = 5*c for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.524 (b) 0.4 (c) -1\/19 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 897159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7019520565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.068631 + 0.0692. Round u to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 22.0855\nAnswer: -2.20855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13254 + 140?\nAnswer: -13114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(49) + sqrt(147)\/sqrt(3) - sqrt(49))\/sqrt(7))**2 - sqrt(7)).\nAnswer: -42 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d - 5. Let h(l) = 0*l + 58 - 55 + l. Calculate 5*g(v) + 8*h(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 44\/(-6 + 2 - (-7)\/(-84)*-51). What is the greatest common factor of 1837 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -358.84993 to the nearest 10.\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1950 and 4575.\nAnswer: 118950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 8:10 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3 + 4*b**2 - 11*b + 4 + 2. Let j(a) = -a. Let v(k) = -5*k**2 + 16*k - 4. Let n(r) = -4*j(r) - v(r). Let o(s) = -5*n(s) + 6*q(s). Determine o(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250926436.\nAnswer: 2, 79, 794071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7, 4, -5, 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -177, 879, -4, 88, 4 in descending order.\nAnswer: 879, 88, 4, -4, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157, 649, 1471, 2629, 4129, 5977?\nAnswer: 8179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + -3. Let f be (-6)\/28 + (-6)\/21. Which is the nearest to f? (a) o (b) 4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62*t - 68 - 18 - 38 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*g = 2, 235*z - 238*z - 3*g + 12 = 0. Factor -1\/4*i**4 + 3\/2*i**3 - 1 + 3*i - 13\/4*i**z.\nAnswer: -(i - 2)**2*(i - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + 202 - 199, -4*c - 4*n = -20 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k - 5. Let o(x) = -9*x - 63. Let a = 67 + -75. Let i be o(a). Give c(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -90214.918775 and 56.\nAnswer: -90158.918775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, 51, 8\/2135?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h. Let r(t) be the first derivative of t**3\/3 - 3*t + 3. Let v(z) be the first derivative of r(z). Calculate v(n(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, c: 2, k: 2, a: 1, o: 1, p: 1}. What is prob of picking 1 a and 2 x?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1380 and 322.\nAnswer: 9660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109849*q**3 + 217625*q**3 - 107762*q**3.\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -42605057700 rounded to the nearest one million?\nAnswer: -42605000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**3*a\/(a\/((a*a*a\/(a\/((a*a*(a\/(a*a**(1\/5)\/a*a))\/a*a)\/a*a))*a*a)\/a)))**(-49) assuming a is positive.\nAnswer: a**(-1911\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -64640*f + 121232 wrt f?\nAnswer: -64640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) -4.502651 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 170975988 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 2*y + 1. Let f be q(-1). Suppose -2*s = -4*u, 8*s - 3*s = u - 9. What is the smallest common multiple of 2 and (u - (f - 19))\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n - 5*n + 0*n. Let g(w) = -w + 7*w**2 - 3*w**2 + w. Determine s(g(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 14 + 11 - 34.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -8641, -0.5, -0.11, -5?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 3:17 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7889625.6 times 0.2\nAnswer: 1577925.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2418, 2\/19, -4\/3, 1, -32, 2, -12?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1218 (b) 15\/4 (c) -6 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a day in seconds?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -15\/2168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - -3 - ((-1 - 2) + 11).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -7 + 2 + 1 + 1 + 7.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/1268 and 101\/17118?\nAnswer: 34236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*i - 1580 + 46*i - 58 + 51*i + 40*i - 50*i.\nAnswer: 2*i - 1638","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1815 by 13208.\nAnswer: -1815\/13208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-1) + 9275\/175. Solve i = -145*p + 136*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6348 rounded to the nearest 100?\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (32\/(-36))\/(-4) + 50\/18. Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1.8, 5, 125.8, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -284*p + 14. Let a be f(2). Let j = -390 - a. What is the remainder when j is divided by 36?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*u = -16*u - 15900. List the prime factors of u.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (48 - (35 - -17))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60110284 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1583 = 5*c - 11607. List the prime factors of c.\nAnswer: 2, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216 and 104472?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 40*((-6)\/(-4) - 1). Let v be ((-6)\/12)\/(2\/t). Let n be (-2)\/(-10) + (-4)\/v. Solve 3*y = 2*y + n for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 85*q**2 + q. Let d be (-1 + -1)\/(1\/(-2)). Suppose 1 = 3*l + d. Let z be f(l). What is the highest common divisor of 12 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3259*z**2 - z**3 + 3259*z**2 - 14*z**5 + (17*z**2 - 8*z**2 + 6*z**2)*(-5*z + 5*z + 3*z**3).\nAnswer: 31*z**5 - z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -363 - 17. Suppose 31 + h = 3*n. Does 21 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 867168 and 720.\nAnswer: 4335840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327897292.\nAnswer: 2, 17, 23, 31, 6763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45860*q - 22928*q - 22934*q + 2039*q**2 + 4009*q**2 to f + k*q**2 + l*q and give k.\nAnswer: 6048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -0*b + 12. Let z = b - -34. Let a = z + -12. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**2\/7 + 120*u\/7 + 122\/7 = 0 for u.\nAnswer: -1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**4 + 3*n**2 - 5. Let b(p) = -2*p**4 + 2*p**2 - 6. Suppose -w + 4*w = 18. Let t(m) = w*d(m) - 5*b(m). What is the third derivative of t(l) wrt l?\nAnswer: 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*t + 2*h - h, 35 = 5*t + 4*h. Solve s = 6*m - 2*m + 20, 0 = t*s - 3*m - 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3529445471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7abe - 8?\nAnswer: 7ab6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -1. Let q(y) = l*y**2 + 253*y - 253*y. Let d(w) = 33*w**2. Calculate d(q(b)).\nAnswer: 132*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*sqrt(396) + sqrt(396) + (sqrt(396) - (sqrt(396) + 5 + sqrt(396))) + -2)**2*-4*1.\nAnswer: -6736 - 960*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -5*g**2 + 3*g. Let d be 2 + -1 - (2 - 3). Let l(r) = -r**2 + 3*r**2 - r - r**d. Let n(v) = 4*l(v) + p(v). Find the second derivative of n(k) wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 45576 + 9661 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10922*f**2 + 9*f - 158911.\nAnswer: -21844*f + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42340?\nAnswer: 2, 5, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -7618125?\nAnswer: 1\/1523625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -0.2, -95884?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from immimmm. What is prob of picking 1 i and 3 m?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -7, 2, -322728, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10093, -10091, -10089?\nAnswer: -10087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + 1 + (-34 - -16). Let t = r + 18. Solve m + t*k = 19, 9 = 5*m + 4*k - 22 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - p**2)*(-6 + 5*p + 6) + (-4*p + 2*p + 4*p)*(-2*p**2 - p**2 + 5*p**2).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 12 = 2*z, 3*z + 12 - 1 = 4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5*j - 6. Let b be c(2). Suppose -110 + 14 = -b*d. What is the greatest common factor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 9*g**2 - 2*g + 3 - 2*g. Suppose -5*a + 2*t = -18, -30 = -5*a - 4*t + 9*t. Let f be m(a). Calculate the greatest common divisor of 14 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 1 = -1. Solve -n + 8 = -r*h, 2*h - 3*n = -n - 10 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38969 at least 38970?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l = -10*l - 124. Find the second derivative of -3*i**2 - 128*i - 24*i - 291*i**2 + l*i**2 wrt i.\nAnswer: -526","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a kilometer in meters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -618.9866587 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122707, 122709, 122711, 122713, 122715?\nAnswer: 122717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46)\/(882\/126*(-2)\/7).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2368927193.\nAnswer: 109, 349, 62273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64149.\nAnswer: 3, 21383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y. Let n(r) = -79*r**2 - 44*r - 4. Let s(k) = 80*k**2 + 33*k + 3. Let j(q) = -3*n(q) - 4*s(q). Calculate j(a(l)).\nAnswer: -747*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-2)\/((-2)\/3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f - 1 - 10665*f**2 + 5739*f**2 + 7395*f**2 as o*f + k + h*f**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((-5*-2*sqrt(90))\/sqrt(3))\/(-3*-2*sqrt(6)*3))**2.\nAnswer: 10*sqrt(5)\/3 + 854\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61 - 61. Solve -4*x + 4 = 3*k - 1, w = -k + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8550087691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/27693 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 0. Suppose -8*n = -11*n - 12. Is i at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2123*f**2 + 7*f - 9. Let h be g(2). Let i = 12130 + h. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/19, -5, -0.1, 1, 0.2301?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 - 1)*(3 + 3 - 4) + 3 - 3 - 1)*(-31*z - 28*z + 17*z).\nAnswer: 378*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -460, -456, -452?\n\"Answer: 4*j - 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -153 + 43. Let q = -77 - t. Let u = 32.856 - q. Round u to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -6*f - 1. Let g be d(-2). Let s = g - 8. Suppose 3*j = -4*m + s, 5*m - 2*j = -7*j. Solve 0 = -3*l - 5*t - 13, -t + 5 = -l - m*t for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19, -89, -205, -367, -575, -829, -1129?\n\"Answer: -23*n**2 - n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f**2. Let j(p) = 1235*p. Determine j(m(g)).\nAnswer: -3705*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 10. Let d be x(8). Let f(o) = 2*o**2 - 3*o. Determine f(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 5)*(34 - 34 + 4*n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2 + sqrt(208) + (-2*sqrt(130))\/sqrt(10).\nAnswer: 4 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66486943.\nAnswer: 349, 190507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 4*b. Suppose 5*q - 10 = -b. Factor -8*h - 4*h**3 + 3*h**3 - 2*h**2 + 16 - 5*h**q.\nAnswer: -(h - 1)*(h + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 8 = -4*c, c - 2 = -0*c - 2*t. Find the third derivative of -c*n**6 + 10*n**6 + 9*n**2 - 12*n**2 + 5*n**2 wrt n.\nAnswer: 960*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552 is divided by 80.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1954 + 6ab4?\nAnswer: 8738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 194285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2139089023.\nAnswer: 41, 617, 84559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.881428l to millilitres.\nAnswer: 1881.428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 1295?\nAnswer: 1292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1347, -2791, -4185, -5529, -6823, -8067, -9261?\n\"Answer: 25*q**2 - 1519*q + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3) - 12\/((-2016)\/35)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of i**2\/2 - 16. Let j(t) = 8*t. Determine o(j(m)).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*m + 0 + 0 - 5.\nAnswer: 34*m - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-16)*554\/(-554).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 8) to base 4\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 2\/(-1 - -3) + 13?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 3:52 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**2 - 6*c - 1. Let d(j) = -3 + j**2 - j + 0 + 2. Let w(m) = b(m) - d(m). Find the second derivative of w(f) wrt f.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 5 (c) 123\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1159 + 3?\nAnswer: 1161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uqqj when four letters picked without replacement from jpeuaqa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -0.023 (b) 0.5 (c) 1\/20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -184820 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 184.99999993 + -185. Round c to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(13) + -1) + (sqrt(1053)*2)**2 + sqrt(13) + sqrt(13) - (sqrt(13) + (2*sqrt(13))**2*-4 + -3).\nAnswer: 4*sqrt(13) + 4420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 72\/3 + -1 - 4. Let t = 24 - j. Suppose -t*n - 5 = -25. Solve -9*x - 5*g = -4*x - 40, n = -4*x + 5*g for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -11976*x - 131727. What is h(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-26)\/(-7) - (-4)\/14. Suppose -3*w + 3*w = 5*w. Suppose 705 = f - a + 6, t*f + 2*a - 2766 = w. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12705 and 19965?\nAnswer: 139755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (1 - 2\/(-1)). Suppose -2*j = -4*y + 22, -y + q*j + 28 = j. Suppose 40 = y*h + h. Calculate the least common multiple of 2 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) - sqrt(3146)*3)\/(sqrt(2) - (sqrt(128) - (sqrt(128) - (2*sqrt(128) + sqrt(128)) - sqrt(128)))).\nAnswer: 32*sqrt(13)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 26*m**2 + 45*m - 412. Let h be s(18). What is the greatest common factor of 13 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267670884.\nAnswer: 2, 3, 13, 509, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -28, 1\/6, 18, -1\/26?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 5.9. Let k = -8 + 13. Suppose -k = -8*x + 13*x. Sort o, x, -2 in descending order.\nAnswer: o, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 7*j**2 - 6*j - 2. Let m be (-2)\/(-5) - 46\/(-10). Determine c(m).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-14))\/(-2 + 26\/12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + v + 3)*(-5*v + v + 2*v) - 1484*v + 2994*v - 1510*v - 4020*v**2 in the form m*v + y + c*v**2 and give c.\nAnswer: -4022","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 141*s + 2*s**2 + 4 - 141*s - 4*s**3. Let z(k) be the third derivative of -3*k**6\/40 + k**5\/12 + 3*k**3\/2 + 2*k**2. What is 7*l(h) - 3*z(h)?\nAnswer: -h**3 - h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24862, 24795, 24718, 24631, 24534, 24427?\nAnswer: 24310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45148*c**2 - 45148*c**2 - 2363*c**3 + 549*c**3.\nAnswer: -1814*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 8:47 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*h = 26, i = -4*h + 18 - 5. Suppose -4*w - i = -3*w + 4*z, -5*z - 5 = 5*w. Calculate the least common multiple of 11 and w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2010.\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y*y**1))\/y*y\/y**(-6))\/(y*y**(-1)*y)**0)\/((y\/(y**(1\/4)*y))\/y**(-1))**(-1\/18) assuming y is positive.\nAnswer: y**(97\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21592 - -22821.7. Let f = l + -1230. Let h = -3.5 + 2. Sort -4, f, h.\nAnswer: -4, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d = -8*d - 4*z - 8490, 3*d - 5*z - 5081 = 0. Does 74 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.077 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-20)*t*t**(-13)*t assuming t is positive.\nAnswer: t**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7749 in 3, -0.8, -4, -0.14?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 11020202010010122?\nAnswer: -11020202010010210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3 - r - 3 + 3*r. Let v(j) = -11 - 11 + 4*j + 23. Suppose -4 = 2*g - 4*g. Calculate g*v(x) - 5*p(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/5)*t*((t*t**9)\/t)\/t*t assuming t is positive.\nAnswer: t**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -314*v - 19. Is t(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -0.3. Let d = 0.3 + k. Let i = 2477 + -2476. Put i, d, 2\/17 in descending order.\nAnswer: i, d, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 282*x - 2977. Is v(18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in years?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7055420 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7, 9, 53, 137, 273, 473?\n\"Answer: 2*b**3 + 2*b**2 - 4*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/26)\/(1300\/7605)*120.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 7*n = -6. Let x = n - 5. Let u(i) = i**3 + 7*i**2 - 7*i + 4. Give u(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 42 + 2600*q**2 - 9 - 20 to o*q**2 + d + v*q and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1054956 and 4326?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 7*z**2 + 2*z - 8. Let q(a) = a**3 - 6*a**2 - 2*a + 7. Let d(o) = 6*p(o) + 7*q(o). List the prime factors of d(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.637 + -0.137. Let w = -5.5 + i. What is the nearest to 3\/4 in w, 3\/7, 3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 - 7*s**2 + 4*s**2 + 12*s**2)*(6*s - 4*s - 3*s).\nAnswer: -2*s**4 - 9*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ucuuuuuu. What is prob of sequence cuu?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 197507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2822 * 71569\nAnswer: 201967718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 265242474 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 145385, -23, -3, -1 in descending order.\nAnswer: 145385, -1, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101101110000001010 (base 2) in base 6?\nAnswer: -13345122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2 + 2 - 16*w**2 - 5 + 17*w + w**3. Let r = -4 - -19. Calculate the remainder when n(r) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165303?\nAnswer: 3, 18367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-5))\/(12\/(-15)). Let y = -2\/89 + -148\/1335. What is the third biggest value in d, 2\/7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 36 = d. Let m(q) = -q**3 + 10*q**2 - 10*q + 13. Let t be m(d). Suppose 2*r = -r. Solve -k = -r*k + t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 3082464?\nAnswer: 3082464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3 (b) 13.56 (c) 29 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/406692 and 113\/332748.\nAnswer: 3660228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 84813*j**3 + 76*j**2 - 38*j - 19. Let f(y) = -31805*y**3 - 28*y**2 + 14*y + 7. Give 7*a(w) + 19*f(w).\nAnswer: -10604*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 - 106*b + 719. Calculate the remainder when 950 is divided by j(48).\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10.17 and -1.\nAnswer: 9.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11aa (base 11) to base 12\nAnswer: ab0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 242*(-54)\/(-297)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -2\/21 (c) 3 (d) -325 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0320733 rounded to three dps?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -2, -2\/7, -4, 2\/187 in decreasing order.\nAnswer: 2\/187, -2\/7, -2, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1973722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -16. Suppose -p = -3 - t. Solve -3*b = 2*h - 7, -4*b - p = -2*h - 3*h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -170\/7 + 901\/42. Calculate the common denominator of t and 87\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1099*x + 1097*x = -3078. Calculate the greatest common factor of x and 324.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 2. Suppose 0 = -n*a + a + s + 863, 4 = -2*s. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*b*g**4 - 26*b*g*s**3 - 26*g**4*s - 2*g**3*s**3 - 187*g**2*s**2 wrt g.\nAnswer: 96*b*g - 624*g*s - 12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 202 = -4*v, 3*z = -5*v - z + 254. Suppose -2*m - m + 51 = 0. Calculate the remainder when v is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -2.9?\nAnswer: -14.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12334 by 12334.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, l: 2, g: 9, f: 4}. Give prob of picking 1 g and 1 t.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -16*-2*1419\/(-1376)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -4*q**4 + 2968*q**3 + 8940*q**2 + 16*q - 11920 = 0.\nAnswer: -2, 1, 745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -114 + 112.75. Let y = s - -0.85. Which is the nearest to -1\/4? (a) y (b) 0.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*p - 7*p + 275. Sort p, -2, -1 in decreasing order.\nAnswer: p, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*p = -98*p - 2225. Which is smaller: p or -86?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 26826061.\nAnswer: 9\/26826061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 6*f - f**4 - 1\/2*f**2 + 0*f**3 + 0. Let t(k) = k. Calculate t(n(y)).\nAnswer: -12*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.33 - 25.87. Let n = h - -26.20000007. What is n rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jpqq. Give prob of picking 2 q.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**4 + 3*o**4 - o**5 + (-5*o + 4*o + 3*o)*(11*o**4 + 119*o - 119*o) + (o**2 + 0 + 0)*(-2*o**3 + 2*o**3 - o**3) + 2*o**5 - 3 + 3 + 0 + 0 - 2*o**5.\nAnswer: 20*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 3*y + 2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-18) + (-1036)\/2760 + -2. Let h = i - -60\/23. What is the nearest to 2\/7 in -1\/2, -3, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 1 + 4 + 24*g + 12)*(3 - 1 - 4).\nAnswer: -48*g - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16238 divided by -2.\nAnswer: 8119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28\/4 + -3 - 0. What is the remainder when f*(-1 + 2 - (-168)\/16) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001101011001000010 (base 2) to base 3.\nAnswer: 1002102102120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/280*-346)\/((-6)\/(-8)). Let a = 48\/5 + s. Is 0.09 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i - 7. Let t be a(-10). Let b = -24 + 17. Put b, -4, t in increasing order.\nAnswer: b, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 413, 417, 423, 431, 441, 453?\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 5*f - 6. Let m be u(7). Is m at least -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b + 6. Suppose -d - 2 = -6. Let g be s(d). Suppose 7*j + 1005000 = g*j. Round j to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2723935 - 0.040643.\nAnswer: -2723935.040643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*d - 4)*(-1 + 1 - 2*d) + 0 + 5*d**2 + 2*d - 3 - 4*d**2.\nAnswer: -3*d**2 + 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13286 - 19319. Let b = -2950 - v. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2*h - 1)*(1037 + 1006 - 1779)*(20*h - 20*h - 11*h**2) to q*h**3 + x*h + v + m*h**2 and give q.\nAnswer: 5808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6280030 + 21?\nAnswer: 6280051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -5*q**4\/12 + 2*q**3\/3 + 5*q**2\/2 - q. Let l(v) = 4*v**2 - 3*v - 4. Suppose 214 + 70 = -147*w - 10. Give w*n(p) - 3*l(p).\nAnswer: -2*p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 829 - 824. Sort -5, 84, l, -3.\nAnswer: -5, -3, l, 84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10012001 - 20100?\nAnswer: -10102101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3788652, -9, -2 in descending order.\nAnswer: 3788652, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34\/6373 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - t**2 - t. Let l be q(-1). Let i = -0.7026 - 1.2974. Which is the second smallest value? (a) i (b) 4.9 (c) -1 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/12)\/(2\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15*(-5 - 2*(-16)\/6). Solve -i = -n, -r - 23 = -33*i + 28*i for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 10*v + 60. Let b be i(-6). Suppose -2*s - 3*f - 2 - 3 = b, 0 = 2*f + 10. Solve 0 = -2*g + 2*y - 10, -s - 7 = -3*y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 7*f**3 + 6*f**2 + 11*f - 13. Let v(s) = -15*s**3 - 13*s**2 - 24*s + 28. Calculate 13*n(c) + 6*v(c).\nAnswer: c**3 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 4*c = -2, 2*c - 58 + 54 = 4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = -2*k. Let a(y) = k*y + 14*y - 11*y + 2 - y**2. Calculate a(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**4 + 385*u**3 + 2505*u**2 + 3875*u + 1750.\nAnswer: 5*(u + 1)**2*(u + 5)*(u + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*t + 16 = 3*t, 2*t - 13 = -3*m. What is the third biggest value in -0.1, 2\/9, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 428 = 6*k + 92. Solve -k = -3*m - 68 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**3 + 84*q**2 + 783*q + 118. Give k(50).\nAnswer: -732","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 10*p + 21. Let s = 13 - 22. Let v be f(s). Suppose -v*j - 465 = -15*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8a5 (base 12) to base 9.\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(320)*3 + 1) - 2*(sqrt(320) - -5*-2*sqrt(320)).\nAnswer: 6 + 288*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-3 + 1 + 3). Calculate the remainder when 45 is divided by 46*j*(-3)\/6.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1147704? (a) 1\/4 (b) -0.2 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 127580569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-nine quarters of a millennium?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + -0.8. Let d be ((-4990)\/2994)\/(((-2)\/4)\/(9\/(-10))). Which is the smallest value? (a) k (b) d (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-3) + 3\/(-9). Let t = -0.18 + 1.88. Let z = t - 1.3. What is the second biggest value in a, 2\/19, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24 in 2\/9, -1, -0.3, 23, 5\/8, -22?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 11 - 29 = 0. Let k = 10 - x. Is 31 - (2 - k - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 4, -2\/9, 4\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17522.\nAnswer: 2, 8761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 326354 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/(20\/(-1))*(-430)\/4 and 27\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*x**2 + 42 + 3*x**3 + 5*x**2 + 3*x**2 - 3*x.\nAnswer: 3*(x - 14)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 12) to base 5.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 3*p**2 - 3*p + 2. Let h be c(2). Suppose -4*q = -o - 16, h = 5*o - 6*q + 2*q. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - -4. Let p be 1\/(-4) + 564\/a. Suppose u + 4*b = p, -3 = b - 8. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2162 or 2163?\nAnswer: 2162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -162*i**4 + 6229*i - 3203557.\nAnswer: -648*i**3 + 6229","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78000 by -3.\nAnswer: -26000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*p**3 - 38*p**2 + 76*p**2 - 41*p**2 + 2 + 2*p - 2*p**4 to j*p**4 + s*p + m + f*p**2 + k*p**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*h = -27*h + 105. Solve -3*a = 3*g - 6, -h + 10 = 2*g + 3*a for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -4, -81 in decreasing order.\nAnswer: 2, 1, -4, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 4, -34 in increasing order.\nAnswer: -34, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2578.89727 rounded to the nearest one hundred?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8))\/((-558)\/(-144)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.017 or -2\/943?\nAnswer: -2\/943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-3))\/((-500)\/125)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161 = -14*n - 11*n - 211 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 0. Suppose -i*f = -0 - 6. What is the units digit of f\/8 - 115\/(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 16 = -4*n + 2*j, j - 2 = 2*n. Let m be 1 + n + -2 + -22. Let h = -9 - m. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yo when two letters picked without replacement from {o: 1, u: 5, y: 3}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 1716861384.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15718?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 41, 25, -7, -61, -143, -259, -415?\nAnswer: -617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/15 + 10\/125*1605. What is the second biggest value in g, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 11 = -5*i - 26, w = 2*i + 13. Let a be (-80)\/(-14) - (-8)\/28. Let u = a + 1. Solve u*d = w*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/4*6 + (4 - 4). Find the third derivative of -3*m**v + 0*m**3 - 11*m**2 - 3*m**2 - 2*m**3 wrt m.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p + 75. What is r(36)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -254 by 41.\nAnswer: -254\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 34*z**2 + 118*z + 363. Calculate c(-37).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (-451 - (3 - 1)). Suppose 0 = -5*j + c + 3*c + d, -j = 5*c - 91. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (25 - -5) + 6 + 6. Suppose 0 = 2*q + 6 - x. Calculate the lowest common multiple of q and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w - 4. Let b be l(-9). Suppose 4*a + 31 - 131 = 0. Suppose 3*h - a = 50. Calculate the greatest common divisor of h and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2*sqrt(500) - sqrt(500) - sqrt(500)))**2.\nAnswer: 32000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10552 or -4716.8?\nAnswer: -4716.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0*z\/z**1)\/((z*z**(1\/4)\/z*z)\/(z*z*z**(-6))))\/((((z**(-1\/4)*z)\/z)\/(z**(-2\/17)*z*z))\/(z**1)**(-1\/3)) assuming z is positive.\nAnswer: z**(-176\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d**2 - 1 + 0*d**2 + 7*d**2 - 3 to the form g + v*d**2 + q*d and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (0 + -5 + 9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.1339 - -0.1339. Which is the third smallest value? (a) -2\/9 (b) -0.03 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 1, -4, 0 in descending order.\nAnswer: 1, 0, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 4:48 PM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4*o**2 + 4*o + 2. Let b be x(-2). Find the common denominator of -73\/20 and 455\/196*4\/b.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 3, 2, -5, -102 in ascending order.\nAnswer: -102, -9, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(-9) + (-2)\/(-3). Let u = 236 - 272. Let x = u - -36.1. Which is the closest to x? (a) r (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 7) + 8 + -7 + -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 3*p = 5*j + 11170, -5607 = -j + 4*p. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3078 - 2046. What are the prime factors of k?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2764*k**5 + 7*k**4 + 10*k**2 - 17596*k + 6244 wrt k?\nAnswer: 55280*k**3 + 84*k**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2. Suppose 7 - 1 = h. Suppose 6 = 2*r - h. Let j(a) = -a + 0*a - a + r*a. What is v(j(y))?\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3032 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 5*c - 2*k, 3*k = c + 2*k - 18. Suppose -2*p + 4*x - 17 = -x, -5*x = 2*p - c. Let f be (-23)\/28 + p\/(-4). What is the biggest value in f, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62338545 and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 7*n + 8. Let t be h(8). Suppose 4*d + t + 0 = 4*z, -5*z + 40 = 5*d. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 507, 2131, 6541, 15129, 29287, 50407?\nAnswer: 79881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 7*t - 8. Let c be q(8). Suppose 4*l + 6*m - m - 288 = c, -5*l + 4*m = -360. Let j = l + -34. Is 38 at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 357*q = 358*q - 13, 5*x + 11 = 2*q for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 2*w + 2*w - 5356, -k + w + 2675 = 0. Suppose -8*d = 5*a - 11*d - k, 0 = 3*a - d - 1604. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192587310 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 8*b**2 - 3*b. Let v be i(3). Suppose -9*k + 54 = -v. Calculate the lowest common multiple of k and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**4)**(-9))**25\/((l*l**(-2))**(6\/25))**(1\/5) assuming l is positive.\nAnswer: l**(-112494\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -88*r - 680. Let p be b(-8). Solve 21*u + p + 39 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z + 1008 = -10*z. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*c - 11*c - 10*c + 44*c - 17*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -110.13 rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 130315 (base 9) to base 5\nAnswer: 10011424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4885201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 66, 83, 100, 117?\n\"Answer: 17*x + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4*k - 1)*(1 - 1 - 3*k**2)*(k - 3 + 3).\nAnswer: -12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 - -78. Suppose z + u = -5*c, 2*z - 5 = 4*c + 1. Let l(q) = -q**3 - 8*q**2 - 6*q + 10. Give l(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 54\/(-9) + -1*14. Let r(y) = y**2 + 8*y - 5. Let h be r(-4). Let v = f - h. Solve -v = 4*x + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/54 and -82\/99.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -288 + -2. Let q = -290.0143 - z. Round q to 3 dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2079 - -2101. What is the remainder when p is divided by -1 + (-3)\/(6\/(-22))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71938 is divided by 5548.\nAnswer: 5362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -132.9999215 + 133. What is a rounded to six dps?\nAnswer: 0.000079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2056 + 2060. What is the closest to 0.07 in -0.3, -0.2, g, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 16 - 17 - 2*s**3 - 3*s**2 - 53*s**3 as i + b*s**2 + t*s + x*s**3 and give x.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/74 and -91\/8.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 877?\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -92 + 91.99. Let p(c) = -32*c - 16. Let i be p(10). Let t be 2\/(-7) + i\/(-490). Put m, 2, t, 5 in decreasing order.\nAnswer: 5, 2, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -83 in -2\/19, -5, 0.0314, 32?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44931.162 rounded to the nearest 1000?\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -620.3803 - 0.1197. Round r to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -3*c**4\/4 - 2*c**3\/3 - 3*c**2\/2 + c. Let j(i) = -10*i**2 - 5*i - 4. Let q(d) = 6*j(d) - 7*n(d). Is 15 a factor of q(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-8)*0 + 491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 6:41 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 271\/18 + -1037\/36. Which is greater: x or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/181 and -3\/724.\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10848287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**3 - 6 - i - 3*i**3 - 2*i**4 + 3*i**3 - 12*i**2 + 28*i**2 - 15*i**2 in the form f*i + u + n*i**2 + d*i**4 + x*i**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1165*a + 945*a = 880 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 467990 and 0.06?\nAnswer: 28079.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2*1)\/((-26)\/84 + 20\/120)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 0.14.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3297.846 rounded to the nearest one hundred?\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -841, -6, 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 56228 to the power of 1\/2, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - 18)*3\/(1 + -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89334806, -89334811, -89334816, -89334821, -89334826, -89334831?\nAnswer: -89334836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (77137\/4)\/(10 + 390\/(-40)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (-1 - 1) + -8. Let l be -1 + (1 - 1 - z). Let k = -1 + l. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 17*j**2 - 20*j + 37. Let x be 1 + -67 - (7 + -10). Let s = x - -47. List the prime factors of m(s).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1092 - 1075. Suppose -4*t + u + 8 = 0, u = 2*t - 0*u - 4. Suppose -t*y - q = -d, y + 2*q = -4*y + 41. Solve 3*w - y*w = -20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88810347 divided by -3\nAnswer: -29603449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 g when two letters picked without replacement from ffffffgf.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 4, -57 in descending order.\nAnswer: 4, 0, -5, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 10:54 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 9 + 26 = 4*b, w = -5*b + 30. Solve 4*u = -o - 8 - 5, o = -w*u - 16 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2558144461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 0.1 (c) 1\/3 (d) 0.2 (e) -164 (f) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 8:45 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-234)\/(-18) - (9 - -4) - 12 - -7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/1175 - 4726\/15275. Let i(s) = -s**2 - 7*s - 5. Let j be i(-6). Is j greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 365, 313, 209, 41, -203, -535, -967?\nAnswer: -1511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146634?\nAnswer: 2, 3, 24439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 3*t - 6, -16 = 3*t - 22. Let d(q) = -q**2 - q + 5. Let m be d(0). Solve 4*s + 4*x + 2 = 34, -2*s - c = -m*x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.6, -6205, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6270.77 in 3\/7, -0.3, -3, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 281 divide 13912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 94862 divided by -3\nAnswer: -94862\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -17*y + 13*y - 17, 3*u + 5*y = 0. Let k = -3 - -1. What are the prime factors of u\/5 + (k - -88)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -816 divided by -102\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zipeztbzpiiizzizb. Give prob of sequence ibz.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*c + 40*c = 77 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z - 9*z**2 + 3*z**3 + 11*z**2 + z**4 - 1 + 3 to the form c*z**4 + g*z + s*z**3 + b*z**2 + j and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 160693783 to the power of 1\/2, to the nearest integer?\nAnswer: 12677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 196 = 7*g. Suppose -3*t = -8*i + 3*i - g, t + 3*i = 14. Suppose -t*f + 150 = -6*f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1113*a**3*k**4 + 76611*a**3 + a**2*k - 2*a*k - 3*k**4 + 13*k**2 + 2*k wrt k.\nAnswer: 13356*a**3*k**2 - 36*k**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -415*k**5 - 2157*k**2.\nAnswer: -24900*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*a**6 + 7444*a**5 - a**2 - 1049*a - 42.\nAnswer: -2280*a**3 + 446640*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 19 = -61. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2628*m + 39519 - 134127 = 0 for m.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38510 is divided by 2265.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 2:12 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1328 + 1267. What is the nearest to i in -6, -4\/3, 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9711.054 centimeters to meters.\nAnswer: 97.11054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 r when two letters picked without replacement from {r: 2, o: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5195*b + 231 = -5216*b for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 7544*z + 2482. Is 202 a factor of y(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2630 + 11425 = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(((((w*w*w**(-4)*w)\/w)\/w)\/w*w)\/w)*w)\/w*(w*w**(-3\/19))\/w)\/(((w**(-1\/20)*w)\/w)\/(w\/((w**(5\/8)\/w)\/w))) assuming w is positive.\nAnswer: w**(5523\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1355791 is divided by 14423?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.083681 plus 738.5555?\nAnswer: 814.639181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-2)*20\/35\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -309*s + 591. What is f(2)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - 133c46?\nAnswer: -133c40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/3 + 445*j**2 + 146041*j - 4982219\/3.\nAnswer: (j - 11)*(j + 673)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - 52. Let b be 1 + 1 - (l - -1). Suppose 79 + b = p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 12:50 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 10:40 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - 2*y**2 - y**2)*(3*y**2 - 3*y**2 - y**3 + (-2*y**3 + 3*y - 3*y)*(-2 + 3 - 2) + y**3 + y**3 + 0*y**3 - 2 + y**3 + 2 - 2*y**3 - 4*y**3 + 3*y**3).\nAnswer: -2*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 1.56. Round h to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7258966 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110001110101100111000 (base 2) to base 8.\nAnswer: 26165470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 33330112132 (base 4) to base 14\nAnswer: 7ab138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65 + 122 - 60 - 319*j**2 - 299*j**2 - 907*j**2.\nAnswer: -1525*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -974076*i**3 - 2*i + 1320880?\nAnswer: -2922228*i**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 183, 333, 447, 519, 543, 513, 423, 267?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 4:58 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 9*z + 2. Let n(c) be the first derivative of c**3\/3 + c**2\/2 + 2*c + 8. Calculate the least common multiple of t(-9) and n(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22\/(-4) + (-2)\/4. Let j(q) = -q**2 - 7*q + 6. What is the tens digit of j(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74044698 divided by 6?\nAnswer: -12340783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 478 (b) 0 (c) 7230.2 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7 * -0.0024\nAnswer: 0.0168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 3995.474 days?\nAnswer: 570.782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**2 - 11*n + 384. Calculate the remainder when g(0) is divided by 132.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -1. Suppose 2*y + 5*u + 14 = 0, 4*u - 2*u = 3*y + 2. Let d(b) = b + 5. Let c be (24\/15 - 1)*-15. Give c*p(n) + y*d(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + 11. Let l be (-12)\/(-24)*(-1 - -3*49). Suppose 4*b - l = -3*t, 0 = 3*t - 2*b - 42 - k. List the prime factors of t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 218, -2, 2, 8, 4, -48 in increasing order.\nAnswer: -48, -2, 1, 2, 4, 8, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/68 and -77\/24?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 808 and 5384.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + 7*u + 35. Let y = 6638 + -6632. Which is bigger: u or y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 197192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b + 6*b**4 + 4*b + (-3 + 4 + 4)*(0*b**4 + 0*b**4 + b**4).\nAnswer: 11*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - i + 5, 2*f + 3*f + 4 = -2*i. Let b be (-75)\/(-30) + f*(-1)\/4. Solve -g - w - 25 = -6*g, 0 = -b*g - 4*w + 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265.474618 rounded to 1 dp?\nAnswer: 265.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/7191595 and -87\/188632?\nAnswer: 57532760","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x + 7*x = 5*l - 10, -x = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28274245 and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2830.813 and -380311.\nAnswer: -383141.813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(117) - (1*1*sqrt(117) + sqrt(117))) + (-3 + sqrt(117))**2 + 5 + 1 + 1.\nAnswer: -21*sqrt(13) + 136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 140*b. Let r(k) = -k. Determine r(t(z)).\nAnswer: -140*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8341443 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 a(d) = -5*d - 117. Determine a(-19).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**5\/2 - 13*k**4\/4 - 5*k**3\/2 + 55*k**2\/4 + 21*k\/2 - 18 = 0. What is k?\nAnswer: -4, -3, -2, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 35895\/75 - (-2)\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4 + 4 = 0. Let z(v) = 61*v + n - 30*v - 30*v. Determine z(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 51, 64, 85, 114, 151, 196, 249?\n\"Answer: 4*l**2 + l + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*(-12)\/1224*2*13*3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -0*o + 924. Let t = -187 + o. What is t rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o + 35. Give x(15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16415121311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 290627 by 460.\nAnswer: 290627\/460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -q**3*r**3 + 807*q**3 - 347*r**3 with respect to r.\nAnswer: -3*q**3*r**2 - 1041*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2130 by -6.\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j**2. Let k(w) = -17 + 17 - 4*w**2 + 9*w**2. What is k(u(g))?\nAnswer: 80*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 166, 112, -30, -302, -746, -1404, -2318?\nAnswer: -3530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -1\/3*f**3 + 5*f**2 + 8*f - 11. Calculate q(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 + 5\/4*t**4 + 5*t + 25\/4 - 15\/2*t**2.\nAnswer: 5*(t - 5)*(t - 1)*(t + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/89)\/n**(1\/2)*(n**(-20)\/n*n)\/(n**(2\/3)\/n) assuming n is positive.\nAnswer: n**(-10757\/534)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24496926 is divided by 608?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2 + 1 = 0. Let i(q) = 2*q**2 + 2*q + 1. Let s be i(x). Let f = -3 + -1. What is the nearest to s in f, -5\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10918 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000056964 rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10526 is divided by 78?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.6741 - 7643.\nAnswer: -7639.3259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**3 + 147 + 153 + 147 - 447.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, n: 9, o: 7}. What is prob of sequence nno?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -537, -1\/5, -2 in descending order.\nAnswer: -1\/5, -2, -537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23)\/(-276)*1)\/(-5*(-1)\/(-8))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14382 is divided by 79.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i**3 - 4*i**2 + 71*i - 4. Let d(f) = -4*f**3 - 3*f**2 + 70*f - 3. Give 3*c(x) - 4*d(x).\nAnswer: x**3 - 67*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -21\/2*g**2 + 5 - 18*g**5 + 129\/4*g**4 + 6*g - 8*g**3. What is f in o(f) = 0?\nAnswer: -2\/5, 1\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 1)\/1 + 1. Let t(l) = -2 - 3*l**3 - 2*l**2 + 2*l**z - 4*l + 10*l. Calculate the remainder when t(-5) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4712860 and 8540?\nAnswer: 32990020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -5*u**2 - 165*u + 166. Calculate n(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 12\/10)\/((-16)\/48). Which is the third smallest value? (a) 4 (b) -1\/10 (c) 3\/2 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 16*m**2 + 2*m - 50. List the prime factors of a(18).\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence re when two letters picked without replacement from {e: 5, r: 5, p: 2, f: 1, s: 3}.\nAnswer: 5\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 + 40. What is the closest to -2\/5 in 0.1, 4, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143031?\nAnswer: 3, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (-8)\/12)*1.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2588a0 (base 15) to base 9.\nAnswer: 3344236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27128255 and 155?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -10. Let u = 8 + j. Let g = -0.1 - -0.2. Is g <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/47454 and 151\/34512.\nAnswer: 379632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1403954.76 + -2.\nAnswer: 1403952.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 3*u**2 - 2*u - 2. Let a be o(2). Sort 0, a, 1, -1 in decreasing order.\nAnswer: 1, 0, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + -16)\/((-7)\/(-28)*4). Is 6\/t - 145321\/(-88) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-6*sqrt(294)*6)\/sqrt(6))\/(((sqrt(77) + sqrt(77) + sqrt(77)*-1)*3 + sqrt(77))\/(sqrt(176)*6)))**2.\nAnswer: 5225472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 57603630 divided by -4?\nAnswer: -28801815\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 2.8. Which is the second biggest value? (a) g (b) -0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -149\/25, 3, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from cecmmemcc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 + -93 + 92\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(-1\/8)*m*m*m)\/m*m*m**(-2\/27))**45 assuming m is positive.\nAnswer: m**(5185\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150) + sqrt(150)*1 + sqrt(150) + sqrt(150))\/sqrt(3).\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -677, -4, 0.4, 4, 3\/4?\nAnswer: -677","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 9*a + 194. Let o be k(10). Solve o*y = 5*q + 22, -10*y + 7*y = 5*q + 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1034 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 12*z - 3. What is the remainder when 93 is divided by r(-9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -12*i**2 - 2*i + 3. Let x(a) = a**2 - 1. Let j(d) = -s(d) - 2*x(d). Let u = 385 - 387. Does 7 divide j(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 6, -4*r + 16 = -p + 4*p. Suppose -3*d + 55 = -p*d. Let m(b) = -b**3 - 10*b**2 - 14*b - 15. Let y be m(d). Round y to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**2 + 549640*z + 18881508100 = 0. What is z?\nAnswer: -68705","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 b, 1 c, and 1 w when four letters picked without replacement from jwicibwijrjjj?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 48618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-8))**(-15)*(k\/k**(-1\/7))**(2\/19) assuming k is positive.\nAnswer: k**(15976\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n + 5035 = -15*n. Suppose -n - 3376 = -9*s. List the prime factors of s.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7959 or -11\/5?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 1. Let r be g(2). Let v be 1*(1 - (-63)\/(-57)). What is the second smallest value in 3, r, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.389 + -1047102\nAnswer: -1047101.611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**41\/(j*j**(-2\/7))**(-5)*(j**0\/j)**(-32\/5)*j**(1\/6)\/(j*j**(-1\/3)\/j) assuming j is positive.\nAnswer: j**(-2137\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 12 = -2, 6*f + 196 = -59*v + 57*v for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + -94*2\/(-4) - 1. Let f be ((-18)\/8)\/((-1)\/8). Calculate the highest common factor of f and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 210.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 536659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -9226303.\nAnswer: 1845260.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/2 - 9*l**2\/2 - 17*l - 12.\nAnswer: (l - 12)*(l + 1)*(l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10.71? (a) 1.7 (b) -2\/5 (c) 3 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 797.167 hours to microseconds.\nAnswer: 2869801200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 15*v - 96. Solve -v*t = -2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**5\/60 - n**4\/4 - n**3\/6 + n**2. Let f(j) = j**2 - 9*j - 4. Let o be f(9). Is h(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -372, 0.05, 2\/37, 7 in ascending order.\nAnswer: -372, 0.05, 2\/37, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i + 873 - 1754 + 0*i + 881.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185 = -4*m + 3*f, 5*m + 2*f - 6*f = 231. Let r(l) = -25*l + m*l + 6 - 8*l + 12*l. Let i(b) = 5*b + 1. What is -16*i(z) + 3*r(z)?\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2a2a58 + -2?\nAnswer: 2a2a56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 + 16522?\nAnswer: 16510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28828 + -20214. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*d - 164 = 0, 5*d + 8 = d. Suppose -4*t + f = 3*p, -5*t - p = -55 - 45. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 540211802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-2 - (5 - -10) - -10).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 51*l + 149. Calculate v(-57).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 u when two letters picked without replacement from {u: 1, w: 11, f: 1, c: 6}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, -2, 0, -1232, -7 in descending order.\nAnswer: 54, 0, -2, -7, -1232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 11*r = 5*b - 555, -4*b = -3*r - 437. Let l = b - 14. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 525988*v**3 - 1054530*v**3 + 527366*v**3.\nAnswer: -1176*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4925\/3 in 0, -5, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 15*p + 2. Suppose 5176 - 5421 = -35*w. Let u(f) = 46*f + 6. Give w*m(r) - 2*u(r).\nAnswer: 13*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*z**5 + 79*z**2 + z**5 + 16*z**6 - 70*z**2 wrt z.\nAnswer: 1920*z**3 + 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 94761, 17\/5, -1 in increasing order.\nAnswer: -1, -2\/11, 17\/5, 94761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/21 + 42952*t\/3 - 100222\/7.\nAnswer: 2*(t - 1)*(t + 150333)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tlzooez. Give prob of sequence lez.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9537077 is divided by 126?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 974b99a6 + -1?\nAnswer: 974b99a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6104?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 149667770 and 4270?\nAnswer: 4270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -140 + 11*n + 25447*n**3 - 8*n - 25441*n**3 to the form j*n**3 + b*n**2 + m*n + w and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3. Let f be k(-1). Let o be (-4*f\/(-14))\/(-4 - -5). Sort 2\/11, o, 5 in decreasing order.\nAnswer: 5, o, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81535, 81651, 81769, 81889, 82011?\nAnswer: 82135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -44*n**2 + 2*n. Calculate o(1).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 6:42 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295939 is divided by 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 27 + 0 + (1 - 2). Calculate the highest common factor of i and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1162089?\nAnswer: 3, 129121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, w: 1, a: 6, u: 2, m: 2}. What is prob of sequence uaa?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 - 5 - 25 = 3*f + 7, 0 = w + 3*f + 118 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91 - 91. Suppose w = -7*u - 0*u + 35. Solve 0*z = u*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 565 (base 7) to base 11.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1c45 (base 14) to base 5\nAnswer: -131112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2759, -2760, -2761, -2762, -2763?\n\"Answer: -b - 2758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 23*c - 20. Let n be g(22). Suppose -n*m + 20 = 5*b, -4*b + 10 = b. Solve -3*y - 8 - 15 = 2*k, -m*k - 10 = -2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 4 = -2*s + n, 0 = s - n - 4. Let i(k) = 163*k**2 + 8*k + 7. Let o be i(s). What is the highest common factor of o and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 150486, 150496, 150508, 150522?\n\"Answer: q**2 + 7*q + 150478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 9 + 0 = 5*m, 0 = 5*m - 15. Let d(z) = 4 + 5*z + z**2 + z**j - z. What is the smallest common multiple of 14 and d(-4)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 904188 is divided by 1079?\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 30 = -3*v, 23*v = -n + 19*v + 17 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 h when two letters picked without replacement from hhfddsdddfddhds.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of u**3\/3 + 3*u**2\/2 - 10*u + 239. Let w be r(-6). Solve 3*a + a = w for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24\/547 greater than or equal to -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (16 - 3) + -8 + 1 - -10.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**5 + 21*m**4 + 291*m**3 - 489*m**2 - 3276*m = 0. What is m?\nAnswer: -7, -3, 0, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20804 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 26*r**3 - r**2 - 5*r + 3. What is p(2)?\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -15 (b) -0.11 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137, 121, 77, -7, -143, -343, -619?\nAnswer: -983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3381, -1\/4, -10, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d + 13. Determine g(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276748595.\nAnswer: 5, 29, 1908611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 287 + 493. Let s be (1\/(-1))\/(19\/(-57)). Suppose 3*z + 4*c - 2*c - i = 0, 3*c = s*z - 285. Calculate the greatest common divisor of 10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and -13.4703.\nAnswer: -12.9703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 + -36. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3638.\nAnswer: 2, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1600798, 3201611, 4802434, 6403267, 8004110, 9604963, 11205826?\nAnswer: 12806699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2408 + 0.24. Round f to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-148)\/259)\/(3\/(48\/152)). Which is smaller: v or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 12 - (-2 - 0) - (29 - 24).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1557547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2027 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 9. Let c be f(-9). Suppose c*q = q. Let y(t) = -13*t**2 - 13*t - 29. Let k(w) = 7*w**2 + 7*w + 15. Let j(i) = -11*k(i) - 6*y(i). Give j(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, 24\/11, -6\/5, 0, 10\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 4*w**2 - 3*w + 3. Let n(s) = -5*s**2 + 2*s**2 - 1 - s**2 + 2*s. Let c(f) = f + 6. Let l be c(-5). Let a be n(l). Give y(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14071, -14088, -14129, -14206, -14331?\n\"Answer: -2*n**3 - 3*n - 14066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 14 = 4*n. Suppose 0 = -3*g - 5 - n. Let v = 1 - 1. Sort 4, v, g in decreasing order.\nAnswer: 4, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -255.1 + 255. Let h be -13 - ((0 - -1) + -1). Are x and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00977398 to five decimal places.\nAnswer: -0.00977","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1058 + -626. What is the highest common divisor of 192 and g?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*f - 9 + 0 = 0, -3*f = 12. Suppose -u*w = -5*w - 90. What is the tens digit of (-117)\/2*(-30)\/w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 8*j + 1. Suppose 63*l + 518 - 581 = 0. Let p(t) = t**3 + 4*t**2 - 5*t + 2. Let k be p(-5). Let y(f) = -f - 1. What is k*y(b) + l*a(b)?\nAnswer: 6*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of 0*h - 1\/3*h**3 + 1\/30*h**5 - h**2 + 1\/12*h**4 + 0. Let f be y(-4). What is the greatest common divisor of f and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9165687?\nAnswer: 3, 3055229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2641207)\/661625 + (-1)\/125.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2743 is divided by 34.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p**3 - 4*p**3 + 5*p**3)*(7170 - 7170 + 90*p) + (3*p**4 + 3*p**4 - 5*p**4)*(-1 + 1 - 5) to the form u*p**4 + m*p**2 + c*p**3 + y*p + o and give u.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -4, 7, 60, 49\/5, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-2\/23)\/s**(-1\/3))\/((s**(-11)*s)\/(s*s\/s**(2\/19))))**15)**40 assuming s is positive.\nAnswer: s**(3183400\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/11448 and 23\/715500.\nAnswer: 1431000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 (base 10) in base 6?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 99, 148, 235, 366, 547, 784, 1083, 1450?\n\"Answer: t**3 + 13*t**2 + 3*t + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 584.7 to the nearest ten.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a + 4*k + 8, -4*a + 89*k = 85*k - 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.06 (b) 0 (c) -2\/5 (d) 6\/13 (e) 0.1 (f) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + -101. Find the common denominator of 366\/n - 10\/25 and 9\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -b + 5*k + 16, -5*b = -5*k + 5. What are the prime factors of (1032\/36)\/((-2)\/b)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 5*n + 32, 0 = -7*g + 8*g - n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 185, 374, 563, 758, 965, 1190, 1439?\nAnswer: 1718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11460600*j**3 + 39118863*j**3 + 40442747*j**3 - 29333473*j**3.\nAnswer: 61688737*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**2 + 390*u + 141912 = 0. Calculate u.\nAnswer: -162, 292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 183615 by 50.\nAnswer: 36723\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 2*u**2 - 1\/4*u**4 - 82 - 2\/3*u**3 - 5*u. Calculate j(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3046, 12195, 27418, 48715, 76086, 109531?\nAnswer: 149050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1238*d**3*j**2 + 9*d**3 + 55*d**2 wrt j?\nAnswer: -2476*d**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**3 + m**5 + m**3 + (2*m**2 + 3*m**2 + 1 + m**2)*(3*m - 3*m - 5*m**3).\nAnswer: -29*m**5 - 5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 25*r - 11. Determine q(24).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 411 = 4*h. Let r(t) = t**2 - 5*t + 35. Let z = -5 - -10. Calculate the remainder when h is divided by r(z).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 13*g + 18*g = -34, -g - 3 = -4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 542279016310 take away 5?\nAnswer: 542279016305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -68 + 3122?\nAnswer: 3054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42\/79 - 849\/632. Let p = -213\/40 + y. What is the common denominator of p and 49?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/(((v\/(v*v**(1\/3)*v))\/v)\/v)*v))\/v*v)**(-42))**(-12\/5) assuming v is positive.\nAnswer: v**(-2184\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11\/(220\/24)*320\/12 + 3. Solve p*b = -157 - 53 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 228*z + 2474. What is o(-11)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-9\/5)*d)\/d)**(-46) assuming d is positive.\nAnswer: d**(-644\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1614176 and -5?\nAnswer: 8070880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * 10738.\nAnswer: 322.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -32*i - 18*i**2 - 21*i**2 + 250 + 40*i**2. Let c(m) = -2*m**2 + 64*m - 502. Let y(g) = -3*c(g) - 5*p(g). Factor y(k).\nAnswer: (k - 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.021 - 0.109. Let p = -0.17 + x. Is p at most as big as 0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 4*p - 41, -55552*p = -2*i - 27779*p - 27776*p + 22 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -3. Let f = h + 41. Let x = 53 - 27. What is the greatest common divisor of x and f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11*8\/(-288)*9*-12\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {g: 2, d: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 291487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - -1. What is the remainder when 33 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100021102 (base 3) to base 5.\nAnswer: -204021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 388 = -3*q + 94. Let z = -33 - q. Calculate the greatest common factor of 5 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -109.1 - -108.8. What is the fourth biggest value in 2\/7, -1\/4, -0.08, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.071 - 0.371. What is the second biggest value in -5, -16, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 1 - 1)*(n**3 + 10*n**3 - 2*n**3)*(n + 226 - 231 + 2*n).\nAnswer: -27*n**5 + 45*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 15*y - 25. Let v be d(11). What is the remainder when 3*10*(v\/(-15))\/(-7) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -21*n + 1. Let a(r) = r**2 + 103*r - 6. Give -2*a(y) - 11*t(y).\nAnswer: -2*y**2 + 25*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 12*a**2 + 24*a - 19. Let w be g(10). Suppose 0 = w*h + 25*h - 276. Solve 4*d - h*d = -10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, x: 2, n: 7}. Give prob of sequence xnxl.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - 16) + 1\/(13\/(-54))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + w + 2*w + (6*w - 2*w + 4*w)*(-1 + 2 + 0) - 5*w + 3*w + 3*w + (-3 + 1 + 1)*(-6*w + w + 3*w) - 103*w - 188*w + 98*w - 3 - w + 3.\nAnswer: -182*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9480 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -114152290\/51 - -6651386\/3. Let j = -21179 - t. Let h = j + 10735\/306. Find the common denominator of -109\/12 and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 6*i**3 + 5*i**2 + 2*i - 3. Let x be f(-3). Let m = 131 + x. Solve -3*v = 2*b - 9 - 1, b - v = -m for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 2*t - 24, 6*t + 27 = 6*c + 9*t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 450, 451, 452, 453, 454?\nAnswer: 455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**3 + 1 + 3*k**4 + 5*k**2 - 3*k**3 - 6*k**2 - 17*k + 19*k to w*k + v*k**4 + p + m*k**2 + o*k**3 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 625 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -237*i + 10657. Give o(45).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 16 = -12*a + 10*a, 5*o + 16 = 2*a for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -16162?\nAnswer: 1616.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 60f - 1?\nAnswer: 60e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 5*x + 2*u, -6*x + 4 = -2*x + 2*u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 14*q + 15. Suppose 0 = -5*j - 24 - 46. What is the tens digit of r(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 9:16 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.007993849+42057\nAnswer: 42056.992006151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 10288576?\nAnswer: 10288578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 18253796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 189*n**3 - 3*n**4 - 22*n**4 - 34*n - 189*n**3 wrt n?\nAnswer: -300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0*p + 0*p - 84*p**2.\nAnswer: -84*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3560 and 225.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.9999974 - 7. What is t rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 4375?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 0) + (68 - 62)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 4. Let f be -2 - (-5 - (1 + z)). Which is the nearest to -1? (a) -1 (b) f (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.57 + -0.67. What is the nearest to v in -1, -5, 3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*5*(-12)\/(-20). Let r be h\/(-3*10\/(-4)). Which is the biggest value? (a) -4 (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q - 3. What is j(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9805.\nAnswer: 5, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*t - 3 + 1 = 0, -4*j - 2*t = -12. Let s be (1\/(-2))\/(1\/(-2)). Let w be (6\/16)\/(s\/j). Are w and 2\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3110712467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(21)\/(sqrt(3)*1))**2 - (sqrt(7) + -1*(sqrt(7) + sqrt(7)*2)) - (2*sqrt(28) + 3*(sqrt(28)\/sqrt(4))**2).\nAnswer: -21 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 10. Let r(k) = 4*k - 30. Let a(b) = -10*q(b) - 3*r(b). Let c be a(-4). Suppose -2*u = -4*h - 0*u + 22, -5*u = -4*h + 31. Sort h, c, -1.\nAnswer: c, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/(sqrt(9) + sqrt(225) + sqrt(9)) - 5*(sqrt(3) + 2))**2 + -4 + (-3*(sqrt(108) + 1 - sqrt(108)))**2*-4 + -1.\nAnswer: 6359\/49 + 680*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nkkkookknbooonnk. What is prob of sequence kbo?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/8 of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 6215\/930 + 34 + (-2684)\/66?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-4)*8\/6)\/(1210\/(-3630)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, v: 1, q: 7, i: 4, d: 2}. What is prob of picking 2 q and 1 d?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 25*l**2 + 48*l - 43. Let t be a(23). What is the closest to 0.27 in 0.3, 0, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2139155.\nAnswer: 5, 31, 37, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 137, -2 in decreasing order.\nAnswer: 137, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 15, 2*m - 14 = -3*m - 3*i. Let c be (-1 + m)\/(3\/1). Let v = 69 - c. What is the highest common factor of 23 and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 0. Suppose 5*i = 10, -g*i + 2*i = -3*n + 46. What is n rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 58824, 40\/9, -1\/3, 0.3 in decreasing order.\nAnswer: 58824, 40\/9, 0.3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) - 5*3*sqrt(2057))*-3 + -6*(3 + sqrt(2057))*4.\nAnswer: -72 + 198*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/((10\/(-4))\/5). Suppose 0 = j*o + 5*g - 15, -3*o + 3*g = 5*g - 20. Let y(v) = v - 1. What is the least common multiple of y(4) and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -4. Let r = -1 + s. What are the prime factors of 4 + r + (1 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1918011 is divided by 319653.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 2)*(2*d**2 + 0 + 0 + (d + 2*d + 0*d)*(-5*d + 0*d + 4*d)) + (-d - 3*d + d)*(-3 - 3*d + 3) - 2*d**2 + 12*d - 12*d.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8927209.\nAnswer: 109, 81901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 209 - 209.13. What is the second smallest value in q, -0.07, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52149.\nAnswer: 3, 17383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1200381 is divided by 4197?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 3*q - 1 = 0, -5*q = -4*s - 0*q + 23 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 6*z**2 - 6*z - 24. Let q be c(-6). What is the highest common divisor of q and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 36\/(-30)*(-10)\/3. Suppose -w*a + a + 9 = 0. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -0.5, 0.18?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -336*y**6 + 5963*y**2\/2 + 4097. Find the second derivative of v(f) wrt f.\nAnswer: -40320*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -96 + -5 - (454 + -482)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53801 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 64 - 64)*(-k - 3 + 3).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**3\/5 - 3*n**2 - 24*n\/5 - 1 = 0 for n.\nAnswer: -1, -1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 1269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-1))\/(6\/(-3)*6\/(-3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -455?\nAnswer: -459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 346.923003 rounded to the nearest ten?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(3\/(-12)) - (-46)\/(-11).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1900, -3807, -5718, -7633?\nAnswer: -9552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b**2 - 15*b + 1. Let f be v(4). Suppose f*g = -5*s + 3640, -2*s + 2*g + 722 = -s. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, 4\/5, -6, -5\/6, -7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 - (-27 - (-68 - -30)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6\/31 + 13\/93. Let f = 4.113 - 3.113. Which is the closest to z? (a) 2\/7 (b) f (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z*z**(-6\/13))*z)\/z*z\/((z**(-13)*z)\/z) assuming z is positive.\nAnswer: z**(175\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36283?\nAnswer: 13, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000279 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -8191265, 22.\nAnswer: -8191265, 0, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 252*a. Let r(z) = 5*z. Let k(s) = 2*g(s) - 105*r(s). Let d(v) be the third derivative of v**4\/24 + 2*v**2. What is k(d(o))?\nAnswer: -21*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 9*x**2 + 90*x + 26. Determine j(-10).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15143 is divided by 12517.\nAnswer: 2626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1500618024813.900078 - 1500619470815. Let i = g - -1445992. Let x = i + 9.1. Round x to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from nmwnmszwnwzwmznm.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/4, 5, -3\/7, -106, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4*p - 29935 = 0, 4*n - 9*p - 39876 = -5*p. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 175 (b) -2 (c) -107.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*t - 13, -2*k - 5*t = -4*k - 4. List the prime factors of 46\/k + 4\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38\/17 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 416 and 13.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 105 = -7*m. Let c be m*2\/6 - 0. Suppose -17 = -2*q - 5. Is c >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 6:33 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - (-190)\/(-15))*-3. Let b = t + -39. Let o(x) = -x**2 + 11*x. Give o(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -93 + 134. Let z be 366\/12 + 8 - (-15)\/(-6). Let h = q + z. What is the greatest common factor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 16 + 4. Solve 16 = -4*a, 0 = -3*h - 2*a - x + 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 227 + -1521. Let r = g - -1190.2. Let c = r + 104. What is the nearest to -1\/4 in c, -2\/13, 0.1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 42*k**5\/13 + 1006*k**4\/13 + 2092*k**3\/13 + 164*k**2\/13 - 2134*k\/13 - 90 = 0. Calculate k.\nAnswer: -65\/3, -9\/7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*y + 42. Let p = 5.99 + -0.99. Let q = -20\/147 + -1\/147. Sort -3\/4, y, q, p in descending order.\nAnswer: p, q, -3\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and -11871.\nAnswer: -11867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 29. Let q = -9 + w. Solve -k - 15 = q*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + i + (1 - 1 - 2)*(0 + 2*i + 0) - 317 + 317 + 81*i.\nAnswer: 78*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.5, 3, 8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 567533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0446 less than 0.0775?\nAnswer: 0.1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -19, -0.7, -3\/8 in descending order.\nAnswer: 3, -3\/8, -0.7, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4 - 10 = 0. Is (3\/(-6))\/(l\/(-354)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7216 (b) -1 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - 2) + (-5 - (11 - (13 - 7)))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 428*l**2 - 2960*l + 5498. Let g be j(421). Let n = 46 + -76. Let u = 55 + n. Calculate the highest common divisor of g and u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - (3 - -8) - -1. Is ((-5)\/((-20)\/(-8)) - o) + 278 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 11*h + 31. Let t be n(7). Suppose 9 = -a - 5*v + 24, 0 = t*a + 3*v - 33. Calculate the least common multiple of a and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) 7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 15*n + 25. Calculate the smallest common multiple of 35 and g(15).\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -4*x + 8, 2*x = -1 - 3. Let l be (-15)\/(-20) + (-22)\/8 + b. Solve 0 = -d - l*f + 1 + 2, 4*d - 4*f = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f**3 + 16*f**2 + 52*f + 24 = 0. What is f?\nAnswer: -1, -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 396327 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 - 63 = -3*h. Suppose -3*f + h = 3. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 531 - 536. Let s = -5.6 + 6. Which is the third smallest value? (a) 4 (b) 1\/4 (c) u (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 2*i - 2*i)*(i - 2*i + 0*i)*(-4*i**2 + i**2 + 0*i + i) + 21*i**4 - 47*i**4 - 34*i**4 + 4*i - 3*i**4 - 4*i.\nAnswer: -72*i**4 + 3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 12:37 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m. Let o(h) = -11 + 2 + 5 + 4 - 8*h. Determine o(c(i)).\nAnswer: -24*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 3*g**2 - g + 8. Let x = 1092 + -1089. What is h(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k**2 - 748*k - 23816. What is j(-46)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 8*j**2 - 11*j + 4. Determine f(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/2)\/((-40)\/10)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*p + 3\/2*p**3 - 30*p**2.\nAnswer: 3*p**2*(p - 20)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -736 + 739. Let n be (-16)\/(-128) - (-2)\/8. Factor 0 + 0*k**4 + 3\/4*k**h - 3\/8*k**5 - n*k + 0*k**2.\nAnswer: -3*k*(k - 1)**2*(k + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/3828 and 107\/13836768.\nAnswer: 401266272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 3. Suppose f*x - 8 = x. Suppose -r = -3*k - k + 51, 0 = -4*k - x*r + 42. What is the remainder when k is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 256, 490, 724, 958, 1192, 1426?\nAnswer: 1660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 0*i**4 + 1\/3*i**3 + 0*i**2 + 16*i - 40 - 243\/5*i**5. What is the third derivative of z(v) wrt v?\nAnswer: -5832*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jodo. Give prob of sequence jdoo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = g - 2 + 25, -3*g + 2*o - 4 = 0. Suppose -2*f = 3*f - g*r, 4*r = 5*f. Let j be (6\/75)\/(6\/10). What is the smallest value in f, j, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.2 + -0.88. Let z = q + -0.4. Let k = z + -0.02. Is k greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8322+0.6\nAnswer: -8321.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40486 - 25158. Let w = 15225.43 - x. Let j = w - -102. What is j rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15961495 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3757.3 * -883.\nAnswer: -3317695.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 14*x + 2. Solve -y + 0 = -x for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.442 + 0.058. Let z = 25 - t. Let j = 10.50094 - z. What is j rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {r: 1, w: 1, s: 4, y: 7, b: 4, z: 1}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(2484\/(-11)))\/((-6)\/76). Let o = -2\/621 + l. Which is the third biggest value? (a) 7.1 (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*s = 737 - 464. Let j(w) = 2*w - 28. Let f(n) = -n + 14. Let i(u) = 11*f(u) + 6*j(u). Calculate i(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76c (base 13) to base 6.\nAnswer: 5521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -9) + 798\/231.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10008192 and 1042520.\nAnswer: 50040960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 910 + 208. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -64*s - 3. Let w be a(4). Let p be 4\/(-10) + w\/(-35). Solve -3*c - 16 = -p*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1028 (base 11) in base 13?\nAnswer: -809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1186048.85 + 1185115.84357. Let o = r - -933. What is o rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zcu when three letters picked without replacement from {z: 3, e: 1, c: 6, a: 2, u: 2}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1250027.1894 to the nearest 10.\nAnswer: 1250030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 9 + 5*d**2 - 7 - 67*d + 8 + 56*d + 6*d**2. What is the hundreds digit of a(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*x = k + 186, 5*x = 3*k - 277. Let b = k + -91. What is the remainder when 36 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 281093\nAnswer: -2\/281093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2128*l + 2 - 4*l - 4 + 3 - 1.\nAnswer: 2124*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + -2 + 22 + (-23 - (-3 - 0)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -346604 (base 10) to base 12.\nAnswer: -1486b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-15)*(-60)\/252.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(1\/4)\/k)**(-2\/43))**(7\/6))**(-21) assuming k is positive.\nAnswer: k**(-147\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 6. Suppose o = -c + 10 - 5. Suppose -24 - 8 = -4*a. Calculate the remainder when a is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72501 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 6*t**2 - t - 3. Let i be x(-6). Let h be -3 - (477\/i + -1). Let o = h + 252. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1805271944.\nAnswer: 2, 7, 163, 197773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5235, -5211, -5177, -5139, -5103, -5075?\nAnswer: -5061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/(k\/(k**(2\/11)*k)))*k*k**(1\/2))\/(k**(1\/5)*k*k\/(k*k**3)) assuming k is positive.\nAnswer: k**(453\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -0.2 (c) -5 (d) 2 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 23*l**2 + 52*l - 45. Calculate k(25).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*g**3 - 13*g**3 + 7*g**3 + 23*g.\nAnswer: 4*g**3 + 23*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57*v - 35*v + 6*v)*(3*v**2 + v**2 - 5*v**2).\nAnswer: 86*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -15401.10893 rounded to the nearest ten?\nAnswer: -15400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15.2 - 0.2. Let z = q + -4. Let s = 10.5 - z. Which is the biggest value? (a) -2\/15 (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*a + 4 = -a, 5*s = 3*a - 5. Let t be 2\/646*(s + (-8)\/(-12)). Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 129.698829019 from -0.2.\nAnswer: -129.898829019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - p - 1449, -5*s - 4*p + 1712 + 5533 = 0. Is 1449 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 3 (b) -27 (c) 1 (d) 9\/14 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vk when two letters picked without replacement from {v: 6, k: 4, m: 10}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/8 of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -436 + 438 + (55 - -12) + (0 - -2) - 12?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -4.6, 4, 41210, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43021109 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.71 + -1.2. Let c = 5.49 + n. Let y = -5.1 + c. What is the closest to y in -0.5, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2318 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14224183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5880817 (base 9) to base 12\nAnswer: 1095a51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 5*u - 839, 2*u + q = 2*q + 329. What are the prime factors of u?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 11*d - 12. Let s be m(-10). What is the common denominator of 93\/16 and ((-126)\/(-49))\/(1\/s) - 3?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 8*k**2 + 10*k + 6. Calculate m(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -311e + -6e?\nAnswer: -318d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1100110010000000100 (base 2) to base 16\nAnswer: -66404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1337.\nAnswer: 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -89 - -245. Is r bigger than 155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**3 - 6*j**2 - 2*j - 7. Determine n(8).\nAnswer: 617","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*p**2 + 32*p**2 + 65*p**2.\nAnswer: 41*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 6*h**2 - 9. Let o(j) = -2*j**2. Let g(c) = l(c) + 2*o(c). Let z(n) be the second derivative of -2*n**4\/3 + 35*n**2\/2 - 296*n. Give -9*g(b) - 2*z(b).\nAnswer: -2*b**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -39 + (-39 - (-17 + -170 + 32))\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(4\/3)*t*t*t)\/t)\/t)**(-12)\/((t**1*t*t)\/t)**43 assuming t is positive.\nAnswer: t**(-126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140, 1464, 3892, 7604, 12780, 19600, 28244?\nAnswer: 38892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 726*k - 81*k = -12900 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - a + 153175, 7*t + 2*a - 153184 = 5*t. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z. Let f(u) = 0*u**2 + u**2 - 2*u**2 - 2*u**2. Determine n(f(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*g**5 + 4580*g**4 + 49976*g**3 - 59336*g**2 - 50076*g + 54756 = 0. What is g?\nAnswer: -117\/5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4941019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -11, 26, 87, 178, 305, 474?\nAnswer: 691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -139, 1438, -2 in decreasing order.\nAnswer: 1438, 12, -2, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-4)*f**(-2\/9)*(f**1)**(-36))**(-11\/3) assuming f is positive.\nAnswer: f**(3883\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + n**2 - 1. Let v(f) be the third derivative of f**6\/60 + f**5\/15 - f**3\/2 - 17*f**2. Give 4*l(c) - v(c).\nAnswer: 2*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 4:25 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + 3*i + (-i + 0*i + 4*i)*(18 + 0 + 26) in the form j*i + n and give j.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d + 6*d - 23 + 25. Let i be m(1). Suppose 4*g - 18 - 38 = i*c, 0 = -c. What is the remainder when g is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x + 29*x - 12*x)*(7 + 8 - 5) + (-2 + 0 + 0)*(x - 17*x - 2*x) + (-3*x + 4*x - 2*x)*(-2 + 0 + 0) in the form y + v*x and give v.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3961*g**2 - 693*g**2 + 1144*g**2 to the form d + k*g + s*g**2 and give s.\nAnswer: 4412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.7 + -1.3. What is the closest to 2\/7 in -0.2, -2\/3, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*b**4*o - 8131*b**2*o**2 - 28*o**2 + 239*o - 3 with respect to b.\nAnswer: 16*b**3*o - 16262*b*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 485773 is divided by 690?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -110.2 + 110. Are -41 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 49*1\/(-2)*-2. Suppose 14 = 3*w - u. Let v = w - 7. What is the remainder when 27 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/sqrt(2) + (1*sqrt(120))\/sqrt(8))\/(sqrt(50)\/sqrt(90) - sqrt(50)\/(sqrt(20)\/sqrt(2))))**2.\nAnswer: 243\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2125 - 4095 = -117*r - 505*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 5*g - 13, 3*n = 5*n - 3*g - 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 262569 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: Work out -383.38 - -40.59.\nAnswer: -342.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -59799*i**5 + 48591*i?\nAnswer: -1195980*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 44, 2\/11, -16\/7, -1\/7 in ascending order.\nAnswer: -16\/7, -2\/11, -1\/7, 2\/11, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -159.7 + 145. Let l = p + 14.759. What is l rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10285 and 383449.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 83 divided by -2711\nAnswer: -83\/2711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -4. What is the least common multiple of b and (3 + -5)\/((-8)\/28)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 16 + (0 - -2) + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100761 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**(1\/25)*(j**(2\/7)\/j)**(-24) assuming j is positive.\nAnswer: j**(2993\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-60))\/((-15)\/25)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -496032 by -1.\nAnswer: 496032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 0.5, 1\/27, 0 in descending order.\nAnswer: 0.5, 2\/11, 1\/27, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(19)*-2)**2 - (sqrt(57)\/sqrt(3)*1)**2.\nAnswer: -8*sqrt(19) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((-24 - -50) + (-15 - -1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120155, -120158, -120161, -120164, -120167, -120170?\nAnswer: -120173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -362*r**2 + 1099*r**2 - 371*r**2 - 368*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -847 - -847.0001537. Round p to 5 dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 2190.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -20 + 0 - (-52710 + 52584).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 28. Suppose -u - 4*u + q = 0. Solve -u*c - 3*c = 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {b: 1, j: 5, f: 1, v: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 64, -39, 4.\nAnswer: -39, 0, 4, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, l: 5, g: 9}. Give prob of sequence gogl.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3b29 (base 13) to base 5\nAnswer: 232420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(2\/31)*l)\/(l\/l**(-9)))**3)**17 assuming l is positive.\nAnswer: l**(-12750\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 7\/4, -2\/15, 6?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 3*q - 8*q, -3*q = -2*x - 25. Let f = 155 - 155.1. Let w = 3 - 5. Which is the nearest to f? (a) -3\/4 (b) w (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 4*s - 0*s + 3131, -4*q = -5*s - 12557. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(65) + (sqrt(65) - sqrt(65)*1*5))\/(sqrt(40)\/(sqrt(800) + 2*sqrt(800))).\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -405902, -405444, -404986, -404528, -404070, -403612?\n\"Answer: 458*j - 406360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 34 + -37 + 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/12*(-2268)\/1512. Let z = -2.22 + -0.18. Let p = z + 0.4. What is the third smallest value in -1, c, p, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330)*2*-3)\/sqrt(6))\/(sqrt(44) + (-2*sqrt(264))\/sqrt(6)) + -1.\nAnswer: -1 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10998?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 188*m**2 - m - 4. What are the prime factors of c(2)?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257023 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18*16\/(-384))\/(3915\/(-1392))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/(-6) - 1\/(-2). Let o = 24 + -22. Suppose 6 + 2 = 4*t + 4*v, -t - 1 = -o*v. Which is smaller: t or l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-2)*(233 - 232 - (-1)\/1). Let x = 0.1 - -0.9. What is the closest to x in 0.4, m, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from drddmmrdmrmmdmd. What is prob of picking 2 d and 2 r?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23070*p*w**3 + 960*p*w**2 + 86755405*p wrt w.\nAnswer: 69210*p*w**2 + 1920*p*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - (-35 - -113)) + -5?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22504 and 13844136?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 55437791 to the power of 1\/3, to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/125 (b) 0.09 (c) -2\/5745 (d) 0.1 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11313 (base 6) in base 2?\nAnswer: 11001011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 1)*(-6 + 5). Suppose 10 + h = 5*r. Suppose 5 = -r*c + 15. Solve 0 = -2*g - c + 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*g + 6*g - 15 = 0, 4*o = -3*g + 21. Let i(y) = -o + 2 + y + 0. What is the units digit of i(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxxxnnx. Give prob of sequence nn.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k + 39. Let d be j(-7). Solve -d*h + 43 - 67 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 60 = 4*u - 39, -3*k = -4*u - 11 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 8 = 4*x, h = -2*x + 17 - 1. Let m be 38*(1*2 - h\/16). Let f = 10 - -9. Calculate the highest common factor of f and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1331 divided by -1331?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25609507.\nAnswer: 7, 11, 47513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 67.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 916180.026719 - -237.\nAnswer: 916417.026719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12380292 by -687794.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, q: 1, c: 11, l: 1}. What is prob of picking 1 c and 1 q?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 765674 divided by -601?\nAnswer: -1274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 2 + (-14 - -3))\/(-2). Solve 5*b - 11 = 2*j + 2*j, 5*j - k*b + 16 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2401, 9207, 20559, 36463, 56925, 81951, 111547, 145719?\n\"Answer: l**3 + 2267*l**2 - 2*l + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 64990 = -2*q, -5*o + 59*q = 58*q - 81255. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 95 and 32938600?\nAnswer: 625833400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17292 and 9230784.\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - u**2 + u + 1. Let t be b(-2). Let a = 10 + -32\/3. Put a, -3\/7, t in increasing order.\nAnswer: a, -3\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1174 - -7258?\nAnswer: 6074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(171) + sqrt(171)*-2)*-5 + -1 - ((sqrt(171) - (sqrt(171) + sqrt(171) + -1))*5*-3)**2)*5*-4.\nAnswer: -27300*sqrt(19) + 774018","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 5*r + 4. Let d be g(6). Is d + (2 - (0 + -19)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20219 = -113*h + 22479 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by 1\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -17 in decreasing order.\nAnswer: 1, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*t + 210*t = -1360 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 49*d**2 - 323*d + 1180. Give j(42).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 + 153. Let r = f - 47. Let t = -3824 + 3840. Calculate the remainder when r is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.465 - -0.765. What is the closest to 5\/3 in 4, 2\/3, o, -1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -172 + 1.8.\nAnswer: -170.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.049 (b) -0.02 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*s + 28*s + 6 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w - 3. Let t(k) = k**3 + 7*k**2 - k - 14. Let o be t(-7). Let f(a) = -a - 5*a + 2*a - 4 + 3*a. Let q be f(o). Calculate x(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/3, -0.1, 2, 0.4.\nAnswer: -2, -0.1, 0.4, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**3 + 6*m**2 + 6*m - 5. Let f be g(5). Let z = 183 + f. Let i = 369 - z. Calculate the greatest common factor of 29 and i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266697 is divided by 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24 + 16063416?\nAnswer: 16063441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/((-18)\/(-39))*-2. Suppose -q + 5*j = -45, -4*j - w = 7. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6933 - 6933.0000059396. What is j rounded to seven decimal places?\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 350520 - 1402073 + 350522 + k + 350514 + 350517.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 35*m**2 - 112*m - 84. Let r = 20536 - 20498. Determine h(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**4 + 279*a**3 - 8424*a**2 + 81648*a.\nAnswer: -3*a*(a - 36)**2*(a - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 198 and -16.\nAnswer: -3168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2270895 or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 32151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 800?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 12:11 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0, -0.3, -2\/263, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*q + 4. Suppose 289*l - 292*l + 33 = 0. Calculate the greatest common divisor of l and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 28*a - 75*a + 50*a + 4*a**2 - 1. Let v be k(-1). Solve v = -6*n + 2 + 16 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/1*(-3)\/18. Let w be ((h + -1)*-1)\/((-1)\/5). Solve w*i + b - 2 = 8, -5*i - 2*b + 10 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 990?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.6 - 1. Let c = 2.4 + f. Let x = 2 - c. Is x != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u - 8*u + 5*u)*(2*u - 6*u + u) - 2 - u**2 + 2 to f*u + r + z*u**2 and give z.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/8 and (-6)\/15*2140\/96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b**2\/3 - b + 2\/3 = 0. What is b?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 903*f - 751. Let i(b) = -4*b. Let l(p) = 4*i(p) - q(p). What is the first derivative of l(g) wrt g?\nAnswer: -919","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/11, -2, 0.0111, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/167 - 107\/5010. What is the common denominator of c and -77\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = g - 17. Suppose 96 = -0*y + 2*y. Calculate the greatest common divisor of g and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(8)\/(sqrt(4) - sqrt(100)))**2 + 3.\nAnswer: 33\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/100 and 147\/7480.\nAnswer: 37400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -7*w**2. Let y be ((-679)\/(-77) - 5) + (-2)\/(-11). Let n(o) be the third derivative of 1\/60*o**5 + 0 + 0*o + 0*o**y - 5*o**2 + 0*o**3. Give n(v(d)).\nAnswer: 49*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 - -2 - (3 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60 - -48) + 7 + -57.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 1:59 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r**3 + 2*r**2 + 31*r + 64. What is m(-2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 3*o**5\/200 - 653*o**4\/120 + 217*o**3\/30 + 3535*o. Factor i(y).\nAnswer: y*(y - 217)*(3*y - 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-52)\/(-9) - 8\/(-36)) + 3. Sort p, 31, -5.\nAnswer: -5, p, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3046 - 1482 - 1564 + 16*p**2.\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -7*j + 3. Let d(n) = 194*n - 32. Let m(b) = -368*b + 62. Let s(r) = -15*d(r) - 8*m(r). What is 2*s(k) + 11*v(k)?\nAnswer: -9*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*n + 23*n - 102 = 0. Suppose -6*v + 2*v = -140. Let q be 3\/(15\/v) - n. Solve -q*z = -2*p + 3*p + 7, z + 5 = p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(30\/(-8)))\/((-1530)\/(-26775)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(108) - sqrt(3)) + 5 + sqrt(3) + 0)**2.\nAnswer: 60*sqrt(3) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1505696119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 23*v. Let t(c) = -5*c**2 - 9*c + 9. Suppose 0 = -6*f + 131 - 23. Let o(k) = -k**2 - 2*k + 2. Let m(g) = f*o(g) - 4*t(g). Determine h(m(u)).\nAnswer: 46*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 - -52. Suppose 2*z + 8 = 0, -z = 2*i + 3*i + 64. What is the remainder when a is divided by (-33)\/(-3) - (13 + i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 684 and 1801848?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -310 + 309.849. What is u rounded to 2 dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 139848350047.\nAnswer: -139848350043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5*116021.\nAnswer: 174031.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 6*w**2 - 9*w + 6. Let l be k(8). Find the third derivative of -4*z**6 - 14*z**2 - l*z + 62*z wrt z.\nAnswer: -480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/12 and 99\/490.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -289, -312, -359, -442, -573, -764?\nAnswer: -1027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 26*k + 20. Suppose -t + 2*m - 3*m = -100, 0 = -5*t - 3*m + 510. Let h = -121 + t. Let f(l) = 5*l + 4. Calculate h*f(b) + 3*p(b).\nAnswer: -2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 513942 and 44.\nAnswer: 1027884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 106*l**3 - 10*l**2 - 21*l - 21. Let i(y) = -21*y**3 + 2*y**2 + 4*y + 4. Determine 2*c(b) + 11*i(b).\nAnswer: -19*b**3 + 2*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 3:34 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -23*f**2 + 3*f - 18. Let x(z) = -8*z**2 + z - 6. Let b be ((18 + 3)*(-4)\/(-7))\/2. Give b*l(d) - 17*x(d).\nAnswer: -2*d**2 + d - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49504209 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 3:28 PM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*w + 42*w + 213 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1671900, 1671901, 1671902, 1671903?\nAnswer: 1671904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 221047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (112\/(-77))\/(42\/462)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 381292 by -9.\nAnswer: -381292\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1275, 2581, 3883, 5181, 6475?\n\"Answer: -2*j**2 + 1312*j - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 2:33 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38451753 to the nearest integer?\nAnswer: 6201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 0)*(0 - 2*d + 0) + 1 - 1 + d.\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - a + 1. Let t(l) = -5*l**2 + 8*l - 3. Suppose 113*q - 106*q = -21. What is q*u(o) - t(o)?\nAnswer: 2*o**2 - 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -334, -694, -1048, -1396, -1738?\nAnswer: -2074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f. Let q be g(3). Suppose -m - 2*w - 3 = 0, m + 3*m - q = -5*w. Let t be (-12)\/15 + (-102)\/(-15). Solve 2*i + 12 = o + m*i, -t = o - i for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from lffljfll.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**5\/13 - 30*m**4\/13 + 134*m**3\/13 - 258*m**2\/13 + 224*m\/13 - 72\/13 = 0. What is m?\nAnswer: 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 11:40 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 253 + 54. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -36598*h - 48455*h + 13309*h + 10744*h. Let d be i(4). Round d to the nearest ten thousand.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/(-2) + (5 - 246\/(-12)) and 107\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -110, -159, -208, -257, -306?\nAnswer: -355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15 + 15)*(-2)\/(-4). Is i >= 5\/212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*p**4 - 6*p - 3.\nAnswer: 360*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 3*m - 4. Let n(s) = -s**3 - 4*s**2 + 5*s - 29. Let p be n(-6). Let g(a) = 5*a**3 + 3*a**3 - 7*a**3 - 14 + p. Give -3*g(c) + l(c).\nAnswer: -2*c**3 - 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 177 + -175. Which is the nearest to 3? (a) -2\/5 (b) 1 (c) n (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 56.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 8*f - 9. Let o be u(-6). Let d = -19 + 28. Let b = d + -13. Sort o, 0.2, b.\nAnswer: b, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -3*f**2 - 197*f + 211. Let x(o) = -3*o. Give x(m(l)).\nAnswer: 18*l + 591","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36\/29 - -63\/580. Suppose 5*j + 3 - 8 = 0. What is the common denominator of b and (-381)\/18*j - 0?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 89*y**3 + 26*y**2 + 73*y + 8. What are the prime factors of j(7)?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -17 + (-1 - 3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s**(-4)\/s))\/s)\/(s**3\/s*s*s)*(s\/((((s*s**(-4))\/s)\/s*s)\/s)*s)\/s*(s\/s**(1\/3))\/s)\/((s**(-1\/2)*s)**33*s**(2\/3)*s*s**(1\/2)) assuming s is positive.\nAnswer: s**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 12. Let p(s) = 2*s**2 + s - 1. Let c(o) = -8*o**2 - 4*o + 4. Let m = 1635 - 1644. Give d*c(g) + m*p(g).\nAnswer: -2*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-6*((sqrt(242) + 0 - sqrt(242))*-4 - sqrt(242))*4)**2 + 5.\nAnswer: 418181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17985\/2180*4\/(-6).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + t + 5. Let i be m(0). Let c = i + 0. Let b(a) be the second derivative of -a**5\/20 + a**4\/3 + a**3 - 7*a**2\/2 - 590*a. Determine b(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -0.139.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 15048.\nAnswer: 45144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 10*t**2 + 13*t - 8. What is f(11)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1577627*j + 2430000*j + 3542526*j.\nAnswer: 7550153*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) -3\/2 (c) -0.07 (d) -1.68 (e) 0 (f) 65\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3765*z + 3126*z - 1070*z = 5317*z + 576132 for z.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)*2*6*1 + -3*(sqrt(7) + (sqrt(70) + sqrt(70)*-1 + sqrt(70))\/sqrt(10) + (1 + sqrt(847))**2 + sqrt(7)).\nAnswer: -2544 - 39*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 24 = -6*p, 2285*z - 2282*z + 19 = p for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 8*d + 1. Let t be y(-4). Suppose 5*l + t = 694. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/48 and -41\/126?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-35)\/(-6)*13\/((-2080)\/(-48))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-105)\/190)\/((-63)\/(-9))?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -393*z**2 + 20650*z - 11121. Calculate j(52).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2060018569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0*y**(-19)*(y\/(y\/y**2))\/(y\/((y\/y**22)\/y)))**29 assuming y is positive.\nAnswer: y**(-1160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 11:28 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.8196 rounded to one decimal place?\nAnswer: 9.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 47636.29 rounded to the nearest ten?\nAnswer: 47640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1223*i**2*y - 67*i**2 - 46*i*y + 2*i + 235*y - 3 wrt i.\nAnswer: 2446*y - 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 4*m + 10 = 0, 7*m = -x + 3*m + 14 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15\/(-4))\/((-12)\/(-48)). Which is smaller: -16 or y?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 358269, 716540, 1074825, 1433130, 1791461, 2149824?\nAnswer: 2508225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.08 - -3.92. Let b = y + -3.6. Let p = b - 0.399. What is p rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -114 + 120. What is the third derivative of 56*h**c + 5659*h - 5659*h + 84*h**2 wrt h?\nAnswer: 6720*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - sqrt(20))**2 + 0 - sqrt(5))*-4 + ((sqrt(720) + -2)*-6)**2.\nAnswer: -1724*sqrt(5) + 26044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84684 and 11268?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21569\/5 + -4303. What is the common denominator of 59\/350 and g?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**3 - 5*b - 54*b**2 + 48*b**2 + 5*b + 2*b**3.\nAnswer: 3*b**3 - 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29793.88783 + 107.468.\nAnswer: 29901.35583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**5\/11 - 32*v**4\/11 + 144*v**3\/11 - 64*v**2\/11 - 608*v\/11 + 768\/11 = 0.\nAnswer: -2, 2, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -3, -125, 0, 2.\nAnswer: -125, -5, -3, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.132810059 and 624.\nAnswer: 623.867189941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6945, 27576, 61891, 109884, 171549, 246880, 335871, 438516?\nAnswer: 554809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z**2 + 3*z**2 - 3*z**2 - 4*z**2 - 2. Let m be t(-2). Suppose -2 = m*o - 0. Which is smaller: -2 or o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3480*z - 230*z**3 + 3480*z + 33*z**3.\nAnswer: -197*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2 + 0 - (-72)\/(-144)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-625)\/50 + 14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 3)*(-30)\/(-45). Suppose 3*s + 5*a + 17 = 42, 4*s = 3*a + 14. What is the third derivative of -s*x**5 + x**5 + 14*x**5 - 7*x**t wrt x?\nAnswer: 600*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1090375?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -123 - -120. Put -2, 5, a in decreasing order.\nAnswer: 5, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h**2 - 83*h - 4. Let z(q) = -5*q**2 + 166*q + 7. Let m(c) = -7*g(c) - 4*z(c). Let l(j) = 4*j. Determine m(l(r)).\nAnswer: -16*r**2 - 332*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1435)\/(-490) + (2 + 7)*5\/(-15)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2173 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*f - 75. Calculate the remainder when f is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**2 - 13*z + 9. Is o(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1125 = j - 43*j - 609 - 576 for j.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132732?\nAnswer: 2, 3, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (436 - 70*i - 436)*(-164*i + 164*i + 5*i**2)*(2*i**2 + i**2 - 2*i**2).\nAnswer: -350*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p - 4*p - 5*p - 11*p.\nAnswer: -33*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 636 and 6784.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, 927, 2971, 6513, 11943, 19651?\nAnswer: 30027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6\/7, 0.3, -0.1, -189.82 in ascending order.\nAnswer: -189.82, -0.1, 0.3, 6\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.068 times 0.1\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -4. Suppose 5*i - s*i = -2*j + 592, -4*j + 1160 = -2*i. Let f = 3210\/11 - j. Which is greater: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 6\/5, -23, 13?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.0325 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(60)\/sqrt(5)))\/(sqrt(324) + 2*sqrt(324) + sqrt(324)).\nAnswer: sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12621 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11\/5 (b) 2\/9 (c) -3 (d) 0 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -92*k - 358*k + 39*k - 466*k in the form b + i*k and give i.\nAnswer: -877","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(171))**2 + (sqrt(152)\/(sqrt(32)\/sqrt(4)))**2.\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 156.09 and -2.3.\nAnswer: -359.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 973112 is divided by 313.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a*i**2*t + 2*a*i**2 + 14*a*i*t - 2*a*t + 2*a + 3*i**2 - 11 wrt i?\nAnswer: 4*a*i*t + 4*a*i + 14*a*t + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -13, -1\/2, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3. Let m(c) = -3*c**3 - 2*c. Give m(o) + 5*r(o).\nAnswer: -8*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-221 - (55 - 167)) + -3?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 6 (c) -2\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 17 + 8)*(8 + 2*g - 4*g - 2).\nAnswer: -8*g + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 950908?\nAnswer: 2, 7, 33961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 7 - -2 - (-9)\/(-18).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.16 and -0.18.\nAnswer: 1.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2. Let l be -1 + 3 - -2*11. Let c = 26 - l. Let z(m) = -7*m + 25*m + 0*m**2 - 17*m + 2*m**c. What is 4*w(j) + z(j)?\nAnswer: -2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*k - 135*k**2 - 99*k.\nAnswer: -135*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4924 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6)\/((-114)\/(-304))*(-3)\/(-14).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -609 not equal to -460?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence htte when four letters picked without replacement from thjhhehuteheehhtj.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-540))\/(5*(-160)\/2000*10\/12)\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x. Let v(l) = 2*l + 12*l - 7*l. Give t(v(h)).\nAnswer: 21*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65)\/5*(-176)\/(-96)*(-6)\/352*-4.\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -18, -20, -22?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1061, -2148, -3247, -4364, -5505, -6676?\n\"Answer: -m**3 - 1080*m + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + 12. Let x = k + -36.83. Round x to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-7\/6))**2 assuming b is positive.\nAnswer: b**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.012096 + -30031.987904. Let n = -30004.002 - s. Let b = 28 - n. Round b to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -12*i + 16*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and 42678.15?\nAnswer: 1707.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/11)*m*(m*m**(-4))\/m assuming m is positive.\nAnswer: m**(-35\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*b = 2*j + 346*b + 5, -4*j = 2*b + 30 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(2\/9)*b*b**5*b\/b**(-1)*b*b\/((b\/((b*b**(2\/13))\/b))\/b) assuming b is positive.\nAnswer: b**(1279\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-8011997\nAnswer: -801199.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/9, -34, 4, 3, -7, 127?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*a - 15 = -2*s, 5*s = -2*a + 8. What is the third derivative of -57 - 32*g**5 - 39*g**s + 57 wrt g?\nAnswer: -1920*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83936308.\nAnswer: 2, 223, 94099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**4 + 2*b**3 - 2*b**3)*(-5*b - 4 + 4) + 3*b**2 + 14*b**5 + 25*b**2 - 32*b**2 - 2*b**3.\nAnswer: 24*b**5 - 2*b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(13) - (-5 + sqrt(13)*-2)) + sqrt(13) + -2 + 0 + sqrt(13) - ((-1*sqrt(78) - sqrt(78))*-6 - sqrt(78))\/sqrt(6))**2.\nAnswer: -954 + 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2789*r**3 - 2 + 2824*r**3 + 2 + 1 - 3.\nAnswer: 35*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1 + 3 = 0. Solve 2*v = -0 + g for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 67*c. Let f(k) = 140 - 34 + k**2 - 42 - 64. Give h(f(g)).\nAnswer: g**4 - 67*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, x: 3, h: 1, i: 3, p: 3}. Give prob of picking 1 h, 1 x, and 2 p.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - 1 - (53 - (-40 + 48))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2737235302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -146035, -146739, -147443, -148147, -148851, -149555?\nAnswer: -150259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14.7627 and -37.\nAnswer: 546.2199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 8 = 20, 5*c = -2*y + 18 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 171 and 3477.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 983509 and 70799?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 816548535 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*0.98.\nAnswer: 0.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -75, -301, -689, -1245, -1975, -2885?\n\"Answer: -o**3 - 75*o**2 + 6*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -248, -496, -756, -1034, -1336, -1668, -2036?\n\"Answer: -q**3 - 241*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -13*x**5\/4 - 105*x**4\/4 + 31*x**3\/4 + 1173*x**2\/4 + 45*x\/2 = 0. Calculate x.\nAnswer: -6, -5, -1\/13, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4605*d**3 + 4598*d**3 - 9208*d**3.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 26 = 7. Suppose 6 + 24 = 5*z. Suppose -z = v*j - 15. Which is the second biggest value? (a) 10 (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.385 - 2.615. What is the second smallest value in 25\/4, 5, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -706453, -706427, -706385, -706327, -706253, -706163, -706057?\n\"Answer: 8*j**2 + 2*j - 706463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 63.91 to zero dps.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -7 - -12 - (-22 - -19).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g - 7. Let m be j(6). Let r = 371 + -387. Let i be -7*5*r\/280. Solve -x + m + 2 = -i*z, 0 = z - x + 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.8 + -3. Let t be -1*(0 + (-2)\/8). Which is the closest to -1? (a) v (b) t (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q**2. Suppose -330 = -15*r - 105. Let m(s) = -r*s**2 - 17*s**2 + 31*s**2. Determine g(m(v)).\nAnswer: 5*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**2 - 158423*l. Let j(z) = z**2. Determine m(j(u)).\nAnswer: -2*u**4 - 158423*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventy-four fifths of a century?\nAnswer: 1480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - ((-4 - -2) + -91). Let r = w + -60. Calculate the highest common divisor of 68 and r.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 26*d - 149. Let f(a) = -13*a + 75. Let i(t) = 5*f(t) + 3*j(t). What is the remainder when 53 is divided by i(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*8\/8*1\/5\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1900) - (sqrt(1900) + -3)) + -1)*-5 + 2*(sqrt(1900)*-5 + sqrt(1900) + 1) + 3)**2.\nAnswer: 800*sqrt(19) + 121625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*h, -3*i - 2*h = -0*i - 25. Let x be (-140)\/(-84) + 1\/3. Solve -w - i*t = x*w + 2, -4*t = 4*w + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eke when three letters picked without replacement from {k: 3, e: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(864))\/(sqrt(8) - (sqrt(8) + sqrt(80)\/(sqrt(10)*1))).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -245*m - 11. Let c(i) = -245*i - 10. Let d(s) = -6*c(s) + 5*o(s). What is the tens digit of d(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.004 in -0.5, 968, -7, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 14 + 2 = q, -g - 5*q - 16 = 0. Solve 8 - g = 4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 572 and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*b**3 - 330976*b**2 - 760693172*b + 169059272.\nAnswer: -4*(b + 4597)**2*(9*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**4 - 155*x**3 - 7624*x**2 - 119808*x - 294912 = 0. Calculate x.\nAnswer: -64, -24, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, s: 10}. Give prob of sequence sp.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*t + 20 + 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 8*b - 5. Let i(y) = -y**3 + 15*y**2 + y - 10. Let x be i(15). Let m be d(x). What are the prime factors of (-36)\/60 + 556\/m?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/18 and -89\/40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -10*g**3 + 1258*g**2 - 5798*g - 1210 = 0.\nAnswer: -1\/5, 5, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1442343 (base 5) in base 6?\nAnswer: -355221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 54*t = -50*t + 32, 26 = -h - 9*h - t - 99 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -159269 divided by -14479?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 4*l - 75 = 0, -7*a + 150 = 7*a - 8*a - 5*l for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 6*h - 1. What is i(-5)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -96 - -346. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of 7*u**2 + 0*u**3 + 1\/28*u**8 + 0*u**7 + 1\/15*u**5 + 0*u**6 + 0*u**4 + 0 + 0*u. What is the third derivative of d(s) wrt s?\nAnswer: 720*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -190419 + 188104.326. Let n = l - -2312.674382. Let x = n + 2. Round x to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 4:46 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - 0) + (1 - -16 - -44).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 763 - -1877. Suppose 5*o + 5*y - v = 2830, -o = 2*y - 1089. Suppose -479 - o = -6*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.089, -0.35, -9, 3, 1\/4, 1 in increasing order.\nAnswer: -9, -0.35, 0.089, 1\/4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 5*p. Suppose -2*c + 3*s - 8 = p, 5*c + 4 = 4*s - 2. Suppose c = -6*r - 40. Round r to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 161\/42 + (-5 + 4 - 6\/4). Find n, given that 28\/3*n - g*n**3 + 8\/3*n**2 + 16\/3 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336459?\nAnswer: 3, 112153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5378263181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -59457, -56, 0.05 in decreasing order.\nAnswer: 0.05, -56, -59457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*h**2 - 84965*h - 9440.\nAnswer: -5*(h + 1888)*(9*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/425136 and 45\/941968.\nAnswer: 48040368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100211 - 10141303?\nAnswer: -10041042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j**2 - 3*j + 33. Let h(b) be the third derivative of b**5\/60 + b**4\/24 - 4*b**3\/3 - 4*b**2. Let q(i) = -9*h(i) - 2*s(i). What is q(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 40*s - 1155. Let p be w(29). What is the greatest common factor of p and 705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296267?\nAnswer: 19, 31, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53665, -54567, -55471, -56377, -57285?\nAnswer: -58195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 8*q**2 - 9*q + 2. Let r be y(9). Suppose -2*n + 2 = -r. Let g(l) = -l**3 + l**2 + l + 2. What is g(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 6\/(-3) + 0. What is the least common multiple of 3 and ((-6)\/(-18))\/(r\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 6*d**2 + 125*d + 432. Determine l(-13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -14, -3, 1.\nAnswer: -14, -3, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-18))\/((-1)\/(-53)*-1*13\/(-78)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + sqrt(396)*-2 + sqrt(396) + sqrt(396) + sqrt(396))**2.\nAnswer: -24*sqrt(11) + 794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 12*i - 4. Determine a(8).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43\/1369 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2*r, -4 = -r - f + 6. Suppose 36 = -l + r*l. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 3*j**4\/4 - j**3\/3 + 9*j**2\/2 + 70*j. Let u(r) = -r**2 - 1. Calculate 6*u(o) + w(o).\nAnswer: 3*o**2 - 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b**5 + 2*b**5 + 2*b**5 + (2*b**2 - 2*b**2 - b**5)*(2 - 2 - 2) - 5*b**4 + 9 - 3*b**5 - 9.\nAnswer: -2*b**5 - 5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74243\/100700 + -18\/1325. Let v = -9\/19 + w. Which is the nearest to v? (a) 3 (b) -5 (c) -2\/7 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 92 = 9*d. Solve -3 = -d*a + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*y - 45 = 6*r, 3*r - y + 35 = 0. Let x(f) = -f**3 - 13*f**2 + 2*f + 16. Determine x(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 38. Let b = -16.97 - k. What is b rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 7. Suppose -2*p + 10 = q. Suppose 0*a - p = -a. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 + 40 + -26 + -19?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 times -0.076?\nAnswer: 3.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 542 and -2.97276?\nAnswer: -1611.23592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 q, and 1 v when four letters picked without replacement from {t: 2, w: 4, v: 4, c: 2, q: 2}.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -0.1, 19, 25, 0.2 in descending order.\nAnswer: 25, 19, 0.2, -0.1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -320013202 (base 4) in base 13?\nAnswer: -80815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1589\/4 - 397. Suppose -3*n = 5*h + 181, n - 142 + 4 = 4*h. Let i = h - -38. Which is the closest to r? (a) -0.03 (b) i (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199*f**2 - 51167*f**3 + 396*f**2 + 51141*f**3 - 197*f**2.\nAnswer: -26*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-440202)\/141 + (-4)\/(-1 - 1). Let f = -2162 - u. What is the hundreds digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b + 25. Let q be p(-14). Suppose -q*a = -14*a - 9. Is (-418)\/(-14) + 2\/(-42)*a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 9224*h - 9236*h + 34*h**2 - 36*h**2 - 18. Determine i(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((2 - (8 + -5)) + -4)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 355665?\nAnswer: 3, 5, 131, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 39, 99, 169, 249, 339, 439?\n\"Answer: 5*d**2 + 45*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -8164*z + 121. What are the prime factors of t(-1)?\nAnswer: 5, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -163616 + 16*f**2 + 11*f - 53*f**2 + 164525 wrt f?\nAnswer: -74*f + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (13\/(-65))\/((-2)\/1534). Let g = t + -154. Which is smaller: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 291 + 44 = -2*v, 2*v = -3*y - 251. Let u = -251\/3 - y. Which is the second biggest value? (a) -0.1 (b) -0.3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-65832)\/20*(-36 - -1). Let d = 186706 - m. Suppose -d = -x + 108500. What is x rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 10 = -26. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 3*w - 15 = 3*k, -w - 5*k = 25. Let s(p) = 2*p + 0*p + 3*p**2 + 0*p - p**3 + 2 + 2*p**3. Let i be s(-2). Which is bigger: w or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 207.0739453 to zero decimal places.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + sqrt(30)\/(sqrt(10)\/sqrt(5)))\/(sqrt(3)*1*-6).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33434643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7198509 >= 7198511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 15) in base 4?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -8552934 at least -8552942?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 80*r**2 + 315*r - 12000. Give n(82).\nAnswer: 382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18606163*h**3 - 37212345*h**3 + 18606169*h**3.\nAnswer: -13*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23 and 1340085?\nAnswer: 30821955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 1 = 2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 21 + 15 = 0. Find u such that 7*u**2 + 21*u**2 + h*u - 23*u = 0.\nAnswer: 0, 5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -520, -1057, -1594, -2131, -2668?\n\"Answer: -537*h + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 26 + 21 - 45 + 35*v. Let r(n) = -2*n. Calculate t(r(c)).\nAnswer: -70*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -53, 12, 14, 38 in ascending order.\nAnswer: -53, -1, 1, 12, 14, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14551 * 0.13.\nAnswer: 1891.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 10452.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 + -35. What is the third derivative of 0*j**2 - 5*j**6 - p*j**6 + 5*j**2 wrt j?\nAnswer: -960*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-30422)\/6 - (-8)\/24. Let a = -948092\/187 - i. Is a less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 960 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w + 5. Let z be d(4). Suppose 2*a - 4*v - 16 = 0, 6*v + z = a + v. Solve -4*r = 2*g - 20, 0 = g + r + a*r - 13 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 49?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -0.1, 2\/171, -0.2, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 20*n - 29*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, 59, -0.04, 10, 1.4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/9*x**2 - 7\/9*x + 1\/3 - 1\/9*x**3.\nAnswer: -(x - 3)*(x - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 47*q - 144. Calculate the remainder when h(20) is divided by 31.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(210)\/(sqrt(60)\/sqrt(6)))\/sqrt(7) - ((sqrt(108)*-3 + sqrt(108))**2 + 1)).\nAnswer: -sqrt(3) + 433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k - k + 3*k)*(-1 + 1 + 1) + (-4*k + 8*k - 27*k + (1 + 2 - 2)*(11 - 3*k - 11))*(-2 + 3 - 3).\nAnswer: 51*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((0 + -4)\/(-8))\/(14\/84). Solve n*q = 7*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 873, 3061, 7353, 14457, 25081, 39933?\nAnswer: 59721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -53*h + 14*h**2 + 53*h + (h - h + 2*h)*(-4 + 4 + 2*h).\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 12:17 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from jsjssj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -7*o**2\/2 - 4*o + 55. What is the remainder when u(-1) is divided by ((-8)\/10)\/((-4)\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 + -8. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5191440 divided by -2676.\nAnswer: 1940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -4 (b) 68 (c) -1 (d) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 27*a**2 + 71*a + 82. Let r be s(16). Calculate the highest common factor of r and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -82*q**4 - 31 - 8 - 28 wrt q?\nAnswer: -328*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 56 = i + 15 - 24, u - i - 7 = 0 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 1)\/(-1)*(0 - 31). Suppose 3*f - 71 = m, -3*f - i = m + 2*f. Let g = m + 26. Which is bigger: -29 or g?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + 2*u - 30, 0 = 5*i + 6*u + 106 - 77 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2044176, -2044179, -2044178, -2044173, -2044164?\nAnswer: -2044151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/13, -0.2, 4\/5, -4\/7, 55, 0?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -17 - 10. Suppose -2*r = -78 - 48. Let g = v + r. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwwoo. What is prob of sequence owww?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -4*s - 16, s + 2*m + 3 = 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -182\/23 in 2\/11, 0.16, 5, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let f be 30\/(-9)*(-6)\/4. Suppose 0 = 4*z + z. Let n(l) = l + z*l + 3 - 2. What is n(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n - 11. Calculate v(-7).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**3 - 204570*w**2 - 818316*w - 818328 = 0 for w.\nAnswer: -2, 68194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 3*c + 6. Suppose c*z = -4*d + 1031, -4*d = -3*z + 405 + 586. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10153, 10160, 10173, 10192, 10217?\nAnswer: 10248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -75747124445*j**3 + 302990959440*j**2 - 9846660*j + 80 = 0.\nAnswer: 2\/123083, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 1. Let z(m) = -13*m - 6. Let s(q) = -4*b(q) + z(q). What is the tens digit of s(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 29\/9 + (-4)\/18. Let f be 1*-5 - (-26 + (-4 - -14)). Solve -f = -v - k*b, 3*b = -3*v - b + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*t - 1417 + 561 = -49*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5072, 4998, 4878, 4712, 4500?\nAnswer: 4242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2644961kg to nanograms.\nAnswer: 264496100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 47*x + 118. Determine g(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 24\/7*r**4 + 0*r + 0 - 50\/7*r**3 + 2*r**5 + 12\/7*r**2 = 0. What is r?\nAnswer: -3, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*(j\/(j\/j**0))\/j*j)**(-4\/9))**(6\/29)*(j\/(j*j**(-2)*j)*j**(-5\/3))**(6\/25) assuming j is positive.\nAnswer: j**(-748\/2175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.35 - 2.25. Let i = t + 2. Let n = 61 + -60. Which is the second biggest value? (a) i (b) n (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 3) + (-15)\/(-3). Solve z = -n*p + 4 - 0, -z - 2 = -2*p for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 12*c**2 + 119*c - 18. Let a be j(-10). Let l(n) be the first derivative of -37*n**2\/2 - 3*n - 1. Is l(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2341 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -2*z - 10, 2*l = z - 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 78, 101, 122, 135, 134, 113, 66?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2*m = -126, 3*s + 2*s + 4*m - 288 = 0. Let g = -35 + s. Let w = 87402 + -87202. Calculate the greatest common factor of w and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**2*f**2 + 19*c**2*f*i + 6*c**2*f - c*f**2*i - 2*c*f*i - 14*f wrt c.\nAnswer: -2*f**2 + 38*f*i + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.58 - -3.58. Let t = 17 - 7. Suppose -t*q = -15*q. What is the closest to 1 in -0.1, o, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 41, 68, 89, 98, 89, 56?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -21*z + 23*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 2*z**2 - 4*z + 2. Let a(n) = -n**2 + 8*n - 4. Let t be a(7). Let v be i(t). Let s = -217 - -212. What is the smallest value in 0, s, v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-6))\/((-5)\/330). Suppose 3*n = -3*a - k, -4*n + 0*a + a = 19. Let q(s) = -4*s + 5. Calculate q(n).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15467761 or 201080902\/13?\nAnswer: 201080902\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 c when four letters picked without replacement from kuckdcddckkccccrc.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2\/9 + 300748*d\/9 + 33416.\nAnswer: 4*(d + 1)*(d + 75186)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 divided by 147?\nAnswer: 355\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2042*x - 777*x + 2548*x)*(2*x**4 + 2*x**4 - 2*x**4) + (-x**3 + x**3 - 2*x**3)*(-3*x**2 + 0*x**2 + x**2).\nAnswer: 7630*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from sizznsc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2079863?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44952 is divided by 111?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -1, -4, 7, 1\/5, -11\/23?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-70) + 3\/105\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*y + 892725 - 893301 = 0 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.001122282 to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*(-11)\/(-220))\/((-48)\/(-280))*(-3)\/(-8).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*c - 25 = -2*q, 10 = 5*q. Let x = -14 - c. Let n(w) = w**3 + 7*w**2 - 3*w + 1. Is n(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -23*u**2 + 15*u - 5. Let k(p) = -58*p**2 + 36*p - 12. Calculate 5*k(h) - 12*x(h).\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 3*d**2 + 4*d + 3. Let b be q(-2). Suppose 0*p + b = 3*p + 3*t, 5*t = -2*p + 7. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 9, 0, 3 in decreasing order.\nAnswer: 9, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -89450.99915 + 89445. Let n = -0.6 + 6.6. Let x = w + n. What is x rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-1 + sqrt(847) + 0)**2 - (2 + sqrt(847)*2 + sqrt(847))) + 3.\nAnswer: -55*sqrt(7) + 853","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 16*l + 13. Let w be p(14). What are the prime factors of w\/(1\/2 + -3 + 4)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7038, 28137, 63288, 112491?\n\"Answer: 7026*j**2 + 21*j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 4, -10, 85, -3.\nAnswer: -10, -3, -1, 2, 4, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -47*d + 42*d + 5, -2*d = 2*m + 10 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/(-75)*-5)\/((-1)\/(-135)). Let d = s - 38. Suppose -d*f = -9*f + 312. What are the prime factors of f?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 394 - (5 + -1)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 893 is divided by 133?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**2 - 13*k**2 + 62*k**2)*(3*k - 2*k - 5*k)*(-1 + 8 + 4)*(0 + 2 - 1).\nAnswer: -2376*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34105 and 7410?\nAnswer: 2660190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*d + 7*d + f, -3*d = 2*f - 12. Suppose 5*l - 2*w + w = 245, -d*w + 260 = 5*l. 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: Simplify (k**(-2\/57)\/((k\/k**(-1\/5))\/k))\/(k\/((k\/k**(-5))\/k)*k**14) assuming k is positive.\nAnswer: k**(-2917\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39963576 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41696?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-252))\/((-30)\/(-72)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 8*w - 4*w - v, -2*v - 10 = 0. Suppose 4*i - 15 = -4*h - 7, w*i - 5*h = -10. Solve i = 3*z - 5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 10 = -5*b, -2*n + 3*b + 2*b - 49 = -4*n + 12*b for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 957*b**2 + 16*b + 29. What are the prime factors of y(-2)?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/2196 and -101\/1711782?\nAnswer: 3423564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 2:44 PM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 492\/13 - (-2)\/13. Suppose -4*w - 3*z - 33 - 10 = 0, -b = 4*w + 2*z. Round w to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2941*m**2 + 1828*m - 1828*m.\nAnswer: -2941*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*m**3 + 36359*m**2 + 103*m + 59.\nAnswer: -30*m + 72718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((22 + -25)\/(9\/(-13))).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/5)\/(c*c**1)*c\/(c*c**7)*c**6*(c**1)**19*c**(-1)*c\/c**6 assuming c is positive.\nAnswer: c**(49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 664 is divided by 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 3*q**6\/20 - q**4\/12 + q**3\/3 - 7*q**2. Let u be o(1). Solve 3*c + 3 = u for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -168 + 171. Let y(i) = -i**3 + 15*i - 10. Let t be y(b). Let d(n) = -2*n + 13. What is d(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 233*u*v**2 + 572*u*v + u - 25618*v**2 + 2926*v - 2 wrt v.\nAnswer: 466*u - 51236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a millennium in months?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 31 = 21. Suppose -897 = -u*j - 203. Suppose -l = 4*d + 2*l + j, -5*l = -3*d - 253. What is d rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-4))\/(2\/(-32)). Let c = a - -10. Let h = 7 + -4. Solve h = -c*v - 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 3:30 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70369675?\nAnswer: 5, 2814787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 880 and 80?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015372 to 6 decimal places.\nAnswer: 0.000154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 9*b - 2*v = 80, -4*v - 204 = -5*b. Calculate the smallest common multiple of 40 and b.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 19*v**3 + 2*v**2 + 3*v - 1. Give p(-2).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13280, -105108, -354352, -839720, -1639920, -2833660?\nAnswer: -4499648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19903 (base 13) in base 12?\nAnswer: 24a2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 152162785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 6*t - 9. Suppose t*b + 4*n - 390 = 0, 3*b + 401 - 990 = -4*n. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, o: 2, k: 4}. Give prob of picking 2 o.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -33*v + 64 + 50*v + 47*v - 2*v**2 + 14*v**2 = 0?\nAnswer: -4, -4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - f**2 - f + 39. Suppose -10*m = 26*m. Determine g(m).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5, -15, -27, -41, -57?\n\"Answer: -h**2 - 7*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 699680?\nAnswer: 2, 5, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 11 + 9*c**2 + 6 - 8*c**2 - 20 + 9*c - 2*c. Let t(n) = -2*n**2 + 5*n + 2. Let h be t(4). Does 6 divide p(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*j - 11*j - 5*i - 290, 0 = 5*j - 5*i - 710. What are the prime factors of j?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.036 times -55\nAnswer: 1.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 4632.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/18 and -1\/654?\nAnswer: 1962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4257600 by 4.\nAnswer: -1064400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 4992354.2 to the nearest 100000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 3754989698 and 0.043828.\nAnswer: 3754989698.043828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 1:34 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 7301*j + 7272. Calculate q(-1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**2 - 1\/2*s + 0 - 1\/2*s**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151158 - 20849.85829.\nAnswer: -172007.85829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -71, -271, -603, -1067, -1663, -2391, -3251?\n\"Answer: -66*f**2 - 2*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1531921258.\nAnswer: 2, 7, 109422947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -32*a - 40. Let r(u) = -u - 1. Let s(p) = 120*r(p) - 3*x(p). Let l(g) = g**2. What is l(s(o))?\nAnswer: 576*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -0*l - 48. Suppose 4*f - 12 = -l. Which is bigger: f or -1\/90?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 8*d - 4. Let y(q) = q. Let v = -508 + 511. Let l(t) = v*y(t) - c(t). Give l(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**4\/15 + 4*q**3\/15 - 2*q**2 - 24*q\/5 = 0?\nAnswer: -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -48065*i - 15. Let d be y(-31). What is d rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -1 - (31 + (-69 - -40))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -26. Let q = -2021 + 2017. Put t, q, -1\/2 in increasing order.\nAnswer: t, q, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 412716?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-376)\/1974)\/((-4)\/(-14)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*l**3 - 30*l + 30*l + (2*l**2 + 2 - 2)*(-3*l + 2*l - l) - 2*l**3 + 0*l + 0*l + l**3 + l**3 - l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 12604*u + 126041. Give r(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 11*m - 10. Suppose 48 = -0*k + 3*k. What is the smallest common multiple of s(9) and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12826 and 755197?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1362690 and 272538?\nAnswer: 1362690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.134 + 0.234. Let u = -10658\/9 - -1184. What is the smallest value in -1\/5, u, j, 1\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h - 26. Let z be o(6). Suppose z*n = -0*f + 2*f + 18, 2*n + 11 = -3*f. Let g be 0\/(1 + -4) + n + 2. Solve 3*d + g - 1 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/21 - (36\/(-42) + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**2 - 15*w + 7. Let p be k(-8). Sort p, 0, 20 in increasing order.\nAnswer: p, 0, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7030, -14059, -21088, -28117, -35146?\n\"Answer: -7029*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -7*m**4\/4 - 2*m**3\/3 - m**2\/2 + 3. Let d be p(-1). Solve 0*b = 2*b - d for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 20, 24?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 26. Let k = -7.4 + t. Sort -2\/7, -5, k.\nAnswer: -5, k, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/11 (b) -7\/6 (c) -1\/4 (d) -463\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6293360 and 472002.\nAnswer: 18880080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26914 is divided by 3441.\nAnswer: 2827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -1642?\nAnswer: 1642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 0*i**3 - 11\/120*i**6 + 1\/12*i**4 - 3*i**2 + 0*i + 1\/12*i**5 - 1\/15*i**7 + 0. Factor t(v).\nAnswer: -v*(v + 1)*(2*v - 1)*(7*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -8. Suppose m = -l + 2*l + 8, b*l + 21 = 3*m. Calculate the remainder when 33 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 863, 1736, 2609, 3482, 4355?\nAnswer: 5228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 r when three letters picked without replacement from {t: 5, g: 3, r: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 5, 0.3 in descending order.\nAnswer: 5, 0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(343) + 1) - sqrt(343)) + -2*sqrt(343) + 5)**2.\nAnswer: -168*sqrt(7) + 1408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/7 + (-3456)\/(-7224). Which is greater: -0.1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 4. Let m be t(0). Suppose 85 = 5*o + m*s, -o - 4*s + 18 = 1. What is the third derivative of -2583*h**3 + 23*h**2 + o*h**4 + 2583*h**3 wrt h?\nAnswer: 408*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*c**3 + 33*c**3 - 68*c**3.\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/32 - 2 - (2 + 1218*(-8)\/128).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**3 - 3*g**2 - 9*g - 1. Let k(c) = 4*c**2 - 79*c + 60. Let d be k(19). Let n(l) = 2*l**3 - 4*l**2 - 10*l - 1. What is d*n(s) - 4*i(s)?\nAnswer: -2*s**3 + 6*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2188 = 4*j, -285*j + 700 = w - 280*j. What is the greatest common divisor of 2294 and w?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8931398*f**5 - 9663757*f wrt f.\nAnswer: 178627960*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 603 - 750. Let q = n + 150. Solve d = -2*d + 6, -q*l + 3*d = 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 499 a factor of 6775921?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}