diff --git "a/data/dm_maths/full_data/11250_11255.jsonl" "b/data/dm_maths/full_data/11250_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11250_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let l = 6 - 28. Let r be 4\/l + 191400004\/22. Round r to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkjdjwkkhhjhjhkkdj. What is prob of sequence kw?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4464.58 rounded to the nearest ten?\nAnswer: -4460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 * 0.07.\nAnswer: 0.0077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35245*s**4 + 2*s**2 - 69697*s?\nAnswer: -422940*s**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 24596*u - 94. Let h be y(-3). Let v be h - (7 - (-27)\/(-3)). What is v rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + x**2 + x. Let p(h) = -4*h**3 - 4*h**2 - h + 1. Let u(v) = 3*i(v) - p(v). Is u(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6851012 to the nearest integer?\nAnswer: 2617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p = -0*p - 32 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lcd when three letters picked without replacement from {c: 1, l: 2, k: 4, d: 1, z: 3}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 2 = b, -5*r + 5*b - 14 - 16 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 162*m**2 - 162*m**2 - 30*m**4 + 0*m**4 - 2*m**4 + m**4 + (-4*m + 4*m - 2*m)*(0 + 2*m**3 + 0).\nAnswer: -35*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7163*b = -24717*b + 2036264 for b.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 153*b**3 + 4739*b**2 - 124*b.\nAnswer: b*(b + 31)*(153*b - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -209681890*g**3 + 208736193 wrt g?\nAnswer: -629045670*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -380 or 1237?\nAnswer: -380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -5*c + 15, -m - 2*c + 10 = -3*m. Calculate the least common multiple of (0 - m)\/((-17)\/(-204)) and 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 + 114*g - 236. Let o be p(2). Which is bigger: o or 3\/4286?\nAnswer: 3\/4286","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 717 + -716.5. Let k = 0.6 - 1. Which is the closest to -2\/5? (a) k (b) 1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 158235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*10*(-1)\/4. Put -2, g, -3 in descending order.\nAnswer: g, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - ((-2)\/(-4))\/1. Let s = 916.6 - 861.83. Let d = 54.8 - s. What is the closest to -1 in d, x, 2\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -50312 + 1610*a + 50312 as o + x*a and give x.\nAnswer: 1610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 4\/9, 8, -15\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 162*d + 88. Let m(u) = -12*u - 1. Let f(i) = -4*l(i) - 56*m(i). Find the first derivative of f(a) wrt a.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 3*q**2 + 4. Let x(g) = g**2 - 5*g - 19. Let j be x(8). Let h be v(j). Let o = h - 35. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-5))\/((-32)\/(-40)). Let l = -35 - -42. Suppose l*x + 30 = 13*x. Which is the smallest value? (a) i (b) -2\/17 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 46\/3, 1, -0.3 in decreasing order.\nAnswer: 46\/3, 1, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -1\/12*j**4 + 2*j + 0 + j**3 + 3*j**2. List the prime factors of v(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, o: 3}. Give prob of picking 2 o.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 8*z**2 + 9*z + 6. Is a(7) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 289*k + 2*k**3 - 289*k.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.58856185 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, 350, -5, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2354534 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/(-6)*(43 - 46). Let d be (4\/3 - 2)*-6. Suppose 4*u = -5*r + 811, q*r - 457 = d*r + 5*u. List the prime factors of r.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(2 + i - 2)*(4*i**4 - 4*i**4 - 4*i**4).\nAnswer: 8*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/9 or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1207370 minus 21964.57?\nAnswer: -1229334.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -12.25. Let a = -0.05 - i. Which is smaller: a or 1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*q = -3*q. Suppose -c + i + 44 = q, -4*c - 5*i = -0*c - 140. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(19) + sqrt(57)\/sqrt(3))*5 - (sqrt(95) + 2*sqrt(95))\/sqrt(5))**2 - ((-1 + sqrt(684))**2 + (sqrt(19) - sqrt(57)\/sqrt(27))).\nAnswer: -2547 + 34*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 54 - -4?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 8. Let x = f + 3. Let 2\/9*y + x - 2\/9*y**2 + 2\/9*y**4 - 2\/9*y**3 = 0. Calculate y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -11. Let a be (2\/3)\/((-1)\/(-3)). Let s be a\/9 + (-10)\/(-9). What is the second smallest value in 2, j, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/22 + 9\/11 - -1375. Suppose 3*t = -13*t - k. Let j = t + 91. Calculate the highest common factor of j and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*c - 575*c**2 + 2*c**3 - 49*c**2 + 48*c.\nAnswer: 2*c**3 - 624*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -15. Let u be 1\/(14\/(-5) + l). Solve 0 = u*h + 14 + 11 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5*j - 34. Let q(g) = 9*g - 69. Let n(i) = 7*f(i) - 4*q(i). Let d(l) = -15*l - 126. Let x(t) = -14*t - 105. Let p(z) = 5*d(z) - 6*x(z). Give p(n(w)).\nAnswer: -9*w + 342","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 130 - 125. Suppose -62*f - q = -67*f. Let l be -8*(-4)\/8 + f. Solve -37 = -4*b + 5*s, 0 = -2*b - 2*s + 1 - l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 7:16 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -49*q - 14. Let r(x) = 71*x + 20. Let c(v) = 10*j(v) + 7*r(v). Let y(g) = -8*g + 42. What is y(c(b))?\nAnswer: -56*b + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/4*3518*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -7. Find the third derivative of -10*z**3 + z**2 + 10*z**p + 3*z**5 wrt z.\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1891763936 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 3*h**2 + h + 4. Let u be z(2). Solve 10 = 4*v + u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 9:30 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -3)*1 + -10 + 5. Calculate the common denominator of -25\/16 and (t + 10\/4)\/(40\/165).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 58497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356 is divided by 231?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**4\/6 + 11*f**3\/6 - f**2 + 6*f. Let z be s(9). Let a = z - -69. Solve 0 = -m - a for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u**2 + 7*u - 8. Determine v(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*a**2 - 2)*(45 - 66 + 35)*(237 - 196 - 107).\nAnswer: 1848*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 768959 - -5?\nAnswer: 768961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 11*b**2 + 8*b - 10. Suppose 7 = 2*p - 1. Let a be q(p). What is the highest common factor of a and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4586 + -4585.2. What is the biggest value in 0, t, 8\/3, -4?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from ammxgxmma.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**2 - 2*t**2 + 4*t**2)*(8*t + 1 - 1) + 1 - 1 + t**3.\nAnswer: -15*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6763 - 6762.979997. Let k = u - 0.02. What is k rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = k + 4*j, 0*k - 3 = -5*k + 4*j. Let z = k - -2. Suppose 0 = -2*i + 4*x, -3*i - x - z + 8 = 0. Which is greater: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1533*f + 155*f - 1048*f + 5766 = 30026 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + 287\/(-28))\/((-195)\/(-96) - 1).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k*k**(1\/4))**(-3\/13) assuming k is positive.\nAnswer: k**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*s = -417*s - 2856 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0947648 to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**3\/3 - 2192*x**2\/3 + 90434*x\/3 + 2161040\/3 = 0.\nAnswer: -1135, -17, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111011 - 100000011011110100?\nAnswer: -100000100011101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-2) - 15\/(-6). Suppose 2*a - 3 = -l. Let o(i) = 10*i + 1. Calculate the remainder when 43 is divided by o(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 162.62 to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -319*u + 274*u = -675. Solve 4*y - d = -15, -13*d = 2*y - u*d + 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -15*y - 14. Let o(h) = -30*h - 29. Let s(p) = -9*g(p) + 4*o(p). Does 37 divide s(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 962*b**2 + 21545*b - 28. Determine o(23).\nAnswer: -1224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 8143665398?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + (0 - (6 + -4)) + 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34837 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 2. Let w be n(3). Let t = w + 30. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 - 5\/15*-3. Suppose 7*l = -h*l - 9*l. Sort 29, l, -4.\nAnswer: -4, l, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*s - 242 = -78, -2*s = -4*i - 368. Let m = -52 - i. What is the remainder when m is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/25)\/w**3)\/(w\/((w*w**(1\/4))\/w)*w)**(2\/29))**(-42) assuming w is positive.\nAnswer: w**(97461\/725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -18\/5*b**5 + 14*b**2 + 0*b - 20 + 0*b**4 + 0*b**3. What is the second derivative of z(l) wrt l?\nAnswer: -216*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 488306?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 4, -62.93, 8, 4\/5, 0 in ascending order.\nAnswer: -62.93, -2\/5, 0, 4\/5, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(500)*2 - (sqrt(500) - (sqrt(500) + -1 + -1)))*5)**2.\nAnswer: 2000*sqrt(5) + 50100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -706 - -2036. Let l be 14\/35 - 11847\/j. Let n = -144\/19 - l. What is the common denominator of n and -69\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 z, and 1 i when three letters picked without replacement from {e: 2, h: 2, z: 2, r: 5, i: 8}.\nAnswer: 32\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/((-4301)\/22)*(0 - 1)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 31 - 5 = 0. Let v = i + -2. Suppose 45 = 3*g - v. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2800) + -1)*3)**2 + -4*(1 + sqrt(2800)))*4*6.\nAnswer: -10560*sqrt(7) + 604920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - r**2 - r - 1. Let v(o) = -32*o**3 + 16*o**2 + 4*o - 4. Let u(q) = 4*p(q) - v(q). Let u(j) = 0. Calculate j.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -1082 - 44. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36 - -43754?\nAnswer: 44012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**3 + 2*g**2 + 47 - 47 wrt g?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/165 and -109\/5820?\nAnswer: 64020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 9*x = 798. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*a + 180*a - 58*a.\nAnswer: 209*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 7*g**2 - 5. Let c(i) = 65 - 65 - i**2. Give c(n(d)).\nAnswer: -49*d**4 + 70*d**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, b: 2, g: 1, a: 1, c: 2, n: 4}. Give prob of sequence cn.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**2 - 2*g + 1. Let a be b(2). Let s be (-42)\/a*1*-3. What is the highest common factor of 112 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 7*b**2 + 1. Suppose 5*y + 48 = -7. Let w = -1 + 11. Let q = y + w. Give j(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11\/37 (b) 5 (c) 0.1 (d) 0 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m - m - 10*m + (-17*m + 121 - 121)*(-2 + 2 + 1) + (m - 2*m + 0*m)*(1 - 1 + 2).\nAnswer: -28*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*k + 54*k + 8*k - 10*k.\nAnswer: 76*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than 557.16486?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 901398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-30)\/6 - -7)*(-8)\/(-2). Suppose -437 = -y*x + 131. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1252*m - 631*m - 618*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-seven quarters of a litre?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 79\/5*-7 - -2. Let x be 2\/(-7) - (-761)\/(-7). Let m = x - d. Which is the third smallest value? (a) -0.1 (b) 0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 20 = 0, -1874*f = -3*i - 1875*f + 25. Let k = 0.7 + -0.89. Sort -3\/8, i, -0.5, k in descending order.\nAnswer: i, k, -3\/8, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 3. Suppose -514 = -4*v - 4*x + 2*x, 0 = 5*v + 3*x - 643. Let t = -126 + v. Which is smaller: t or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 415 - 410. What is the second smallest value in -5, -2, 0, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -256432*u**2 + 6*u + 2782629 wrt u?\nAnswer: -512864*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -3192?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 206 - -498. Is f a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 1 + 2)*(525856 - 522*i - 262928 - 262928) to w*i + s and give w.\nAnswer: 1044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -9*z + 5. Let u(g) = -8*g - 4 + 2 + 6. Let f(x) = -x**3 - 15*x**2 - 51*x + 24. Let q be f(-6). Calculate q*b(o) - 7*u(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 165 - 1157\/7. Which is the biggest value? (a) z (b) -1 (c) 2\/9 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 + -23 - 32 - 22\/2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2835 divided by -315\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 6, -z - 3*p - 117 = 2*z. Let o = -40 - z. Let y be 2 + 0 + (-27)\/13. Is y equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -296711 rounded to the nearest 1000?\nAnswer: -297000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 3*z - 6*z - 28.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 6*b + 16. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18226 is divided by 934?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 8:40 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 101*s**3\/3 + 206*s**2 + 9*s - 56. Differentiate x(z) with respect to z.\nAnswer: 202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lrl when three letters picked without replacement from klrlllr.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4256 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24 + 11?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 53, 99, 145, 191?\n\"Answer: 46*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -35.55?\nAnswer: 3.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 315*y + 6441. Calculate g(22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/248 and 53\/279?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4080 and 65127952?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -5*x - 10, q + 29 = -4*x + 14 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 120689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 7*x - 12 = 3*x, 4*u + x - 24 = 0. Suppose -z = 2*z - 9. Calculate the remainder when u is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 199 - -576?\nAnswer: 70f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*8\/(-48)*2)\/((-3)\/48)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-6) - (15\/10)\/(79\/((-28519)\/342))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 569 + 105 = 131*r - 243 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67211.\nAnswer: 67211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -3. Let c be (d - -1) + 8\/2. What is the third derivative of 0*w**2 - w**c + 5*w**2 - 3*w**2 wrt w?\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -610 + -5?\nAnswer: -615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -64372434 or -64372430?\nAnswer: -64372430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110100221 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73 by -493.\nAnswer: 73\/493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-12 + 29 + -9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*y**3 + 0*y - 2*y + 2*y.\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -27, 4, -7, -3, 14 in ascending order.\nAnswer: -27, -7, -4, -3, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 29004, 58250, 87728, 117438?\n\"Answer: 116*a**2 + 28898*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from xxxxfxfx.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1489393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1235514 and 14?\nAnswer: 1235514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 53, 74, 103, 140?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113800 = -5*s + 3*u, 127*s = 128*s - 4*u - 22777. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -5*n - 32. Let t be j(-7). Suppose -d + 0 - 4 = t*y, 5*d - 3*y + 2 = 0. Sort -3, 10, d in decreasing order.\nAnswer: 10, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/9*z + 0 + 14\/9*z**2 + 16\/9*z**3 = 0. What is z?\nAnswer: -1, 0, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h - 2. Let f be l(-1). What is the units digit of 3\/(-1*f\/30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from zzkkkk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**18\/y)\/y)\/y*y*y\/(y**(3\/10)\/y))**(-46) assuming y is positive.\nAnswer: y**(-4071\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2050.267 + 2050. Which is greater: -0.1 or z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8665 by 1733.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from akkkkkkkakkkak. Give prob of picking 2 a and 2 k.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 623588 is divided by 18880.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -225137*r**5*w - 147*r**4*w - 18*r*w + 5*r - 8*w - 30029 wrt r?\nAnswer: -4502740*r**3*w - 1764*r**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 35 = -9*u. Let o(f) = f**3 - 6*f**2 - 5*f - 10. Determine o(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37644 - -32660. Suppose -5*g - 4*s + z = -0*s, -2*s + 70302 = 5*g. What is g rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 u when two letters picked without replacement from qummqmmmuemqmemqu?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 231 + -261. Let z be (c\/2)\/(231\/(-57) - -4). What is the highest common factor of z and 114?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.82919 + -0.17081. Let n = 0.2 + 0.8. Do n and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 5*y**2 + 8*y + 5. Suppose l - 5 = 2*g + 9, -4*g - 30 = -3*l. What is m(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(3 - 1) - 4. Let b(a) = -a - 1. Let s be b(h). Solve y = 5*u - s - 22, -u + 11 = -3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/8603 or -194?\nAnswer: 6\/8603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -46909520 > -46909515?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -26b9d + -19b?\nAnswer: -26d49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 109820144351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1239019 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65063055 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4338.1 and -19.\nAnswer: -82423.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*w - 2, -2*w - 3 = -w - 4*h. Let q(z) = z**2 - z + 1. Let g(p) = 3*p**3 - 15*p**2 + 12*p - 9. Let a(l) = w*g(l) + 9*q(l). Factor a(d).\nAnswer: 3*d*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10 + 70)\/12 - (6 + 2). Suppose 0*r + 5*r - 4*s = -21, 2*s - 13 = 3*r. Sort r, j, 3 in increasing order.\nAnswer: r, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(75)*2 + -1 - (sqrt(75) + 0)*-2))**2 - ((3*(sqrt(75)*-1 - sqrt(75)))**2*4 + -4).\nAnswer: -360*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101.1 + -101.13. Which is the closest to -7? (a) -3 (b) o (c) -3\/4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u**3 + 6*u**2 - u. Let y(n) be the second derivative of -n**5\/20 - n**4\/12 + n**3\/6 + 17*n. Let z(h) = -l(h) - 3*y(h). Let z(s) = 0. Calculate s.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2737 divided by -119?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6378 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 14595421.\nAnswer: 7\/14595421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (144 - 95) + (-11 - 93) - 5?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -7*o + 2. Let s(j) = 118 - 58 + 6*j - 62. What is 4*s(z) + 3*x(z)?\nAnswer: 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 19*g**2 + 1. Let w be q(-1). Suppose -5*b = -3*p + 3, -4*p - w - 11 = 5*b. Find the common denominator of -11\/6 and (p - -2) + 64\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + n + 1. Let j(k) = -12*k**2 + 9*k + 9. Let h be (6 - 0) + -5 + 1. Calculate h*j(f) - 18*g(f).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-33) - (1 - (-970)\/(-990)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 674433 is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p**(-5)))\/(p**(1\/3)\/p))\/((p**(1\/3)\/p)\/(p\/(p\/(p*p**(-2\/9))))))**(1\/59) assuming p is positive.\nAnswer: p**(64\/531)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -y + 2. Let g(z) = 19*z**2 + 1. Let t be g(y). Solve 13*m**4 - 13*m**4 + 8 + t*m + 27*m**5 - 45*m**3 - 10*m**2 = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 111018 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 11 + 9, -4*q + 7504*r - 7503*r = 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 15) to base 9\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10)\/(996\/1494).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*q**2 + 252 - 1280 + 1028.\nAnswer: 30*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -551365?\nAnswer: -551366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 113564347.1 to the nearest 10000.\nAnswer: 113560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.8 - 4. Let l = 11.1 + -17.9. Let x = h + l. Is x >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*p**4 + 2*p**3 - 489*p**2 - p - 253849 with respect to p.\nAnswer: 44*p**3 + 6*p**2 - 978*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 209207, 207047, 203447, 198407, 191927?\nAnswer: 184007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.521 to 1 decimal place.\nAnswer: 10.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -5 (c) 2 (d) 9\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 20\/(-30))*(-18)\/4. Suppose -2*s = k*w - 8*w + 16, 2*w = 4*s + 16. Let n(z) = z**2 - z - 4. What is n(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -745*k + 763*k - 684 = 0. Calculate the remainder when 841 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1743, 12, -19 in ascending order.\nAnswer: -1743, -19, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-48)\/32)\/(1\/(-6)). Let i = l + 10. Is i + -19 + (-3)\/((-6)\/56) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = -73*y - 2. Is 1\/18169 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 574\/(-70))*((-62)\/(-6) + -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 5 + 5)*(0*h - h - h + (-4*h + 0*h + 6*h)*(-1 - 3 + 5) + 177 + 212*h - 177)*(-h**3 + h**3 - 3*h**3 + (-2*h + 3*h + h)*(-3*h + h**2 + 3*h)).\nAnswer: 212*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(39 - 19)*3\/(-2)*-8. Solve h*x + 10 = 4*w, -w = 3*x + 250 - 260 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 + -13 + -5 + -5\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 3*d**8\/7 - 25*d**4\/12 + 28*d. What is the third derivative of j(l) wrt l?\nAnswer: 2880*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nh when two letters picked without replacement from efeehhefvnecnennfeff?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**2 + 960*f - 32045 = 0. Calculate f.\nAnswer: -221, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2588761*v*z**2 - 909065*z**2 wrt v?\nAnswer: 2588761*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 3929?\nAnswer: 43219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t + 3*t - 18*t = 0. Factor t + 2\/5*j**3 - 4\/5*j**2 + 0*j.\nAnswer: 2*j**2*(j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6817 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a meter in millimeters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27.9 - -24.9. Let n = 0.1 + -5.1. Let d be 6\/20*(-15)\/(-18). Which is the nearest to d? (a) n (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*p + 0 + 0)*(-2 + 1 + 2*p + 4)*(-585*p - 1280*p**2 + 585*p).\nAnswer: -17920*p**4 - 26880*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 144\/19 - 663\/95. Let f = 31 - 23. Let h be (-10)\/(-6)*f\/(-60). Sort 18, h, j in increasing order.\nAnswer: h, j, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 7*k**5\/30 - 1086*k**2 - 2*k - 1. Let n(g) = 711*g**2. What is y(n(m))?\nAnswer: 7077294*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 668732544?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -9172 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18549457 to the power of 1\/2, to the nearest integer?\nAnswer: 4307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*d, d - 123 = -14*n + 7*n. Calculate the remainder when 822 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 w when two letters picked without replacement from {w: 3, p: 1, x: 5, i: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4422 in 4, -1\/1279, -4, 1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaaaa. What is prob of sequence aaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 49012847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 227 - 88. Find the common denominator of 117\/14 and (-92)\/(-483)*t\/(-16).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3.4 (b) 2\/17 (c) 0.2 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 227.91929 to 0 dps.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2\/8 + 1631135*p\/4 - 2660601388225\/8 = 0.\nAnswer: 1631135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 23*h**2 - 237*h. Let z(j) = -570*j - 3. Calculate v(z(q)).\nAnswer: 7472700*q**2 + 213750*q + 918","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9451 + 9459. Calculate the remainder when j is divided by (3\/(-5))\/(2\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 885262 and 38.\nAnswer: 16819978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 1 + 2*j - 2*j - 5*j + 6*j. Determine f(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 3*k**2 + 6*k + 5. Let y be r(-4). Let w = 21 + y. Let n be ((-24)\/10)\/(w\/(-45)). Solve -n = t + 2*p - 3, 4*t + 12 = p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 7*a = 4*a + 21, -3*z - 4*a = 47. Let n be 6\/27 - (-2)\/z. Suppose r + r - 4 = 4*d, d - 13 = -3*r. Solve 2*m + r + 6 = n for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 113599621, 113599623, 113599625, 113599627, 113599629?\n\"Answer: 2*f + 113599619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 318024 to the power of 1\/2, to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 x, and 1 o when three letters picked without replacement from lgoxk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) - (-1 + sqrt(304)))*-5)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1924331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499973 is divided by 114?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4283161191.\nAnswer: 3, 16607, 28657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 15\/(-4)) + (-3)\/(-12). Suppose 5*o - 21 = -u, 2*o - 12 - 6 = -u. What is the second derivative of -16*x**3 + 3*x**y + u*x**3 + 2*x wrt x?\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (7 - 5) + -46 - -7) + 5 + -5?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(6)\/sqrt(2) - (sqrt(6)\/sqrt(2))**2*1.\nAnswer: -3*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(6\/(-8))*(-10)\/(-10). Suppose -2*v + r + 61 = v, z*r = v - 24. Calculate the smallest common multiple of v and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**3 - 8*f + 27*f - 11*f - 8*f.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = d - 2, 53 = 5*b + 3*d. Suppose j - 4 = b. List the prime factors of j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -827, 88715, 2 in descending order.\nAnswer: 88715, 2, -827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 5.7. Let s = -0.1 - 0.9. Let q = s - -4. Sort 1\/3, k, q in descending order.\nAnswer: q, 1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -53 - -53 - (3 - (-1 - -12)). Solve -5*x + 2*x - 2*i = -w, -x + 4 = 2*i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*5\/(-110) - (-18)\/(-22)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*h + 74 = 0, -2*f + 67 = f - 5*h. Let i(g) = g**2 + 2*g + 2. Let k be i(-2). Solve c - f = -5*u, -c - c = -k*u + 2 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**3\/10 - 249727*i**2\/10 + 374584*i\/5 + 499448\/5 = 0. Calculate i.\nAnswer: -1, 4, 249724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**2\/5 + 32*c\/5 - 1605 = 0.\nAnswer: -107, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bo when two letters picked without replacement from {u: 5, j: 2, o: 4, b: 1, s: 2, m: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -12*t**2 - 2. Let b(m) = -6011*m. Calculate b(y(g)).\nAnswer: 72132*g**2 + 12022","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.99352 litres in millilitres?\nAnswer: 55993.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 174.33 - 20.23. Let m = r - 144. Round m to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -703 = 493*w - 1931 - 3702 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/15795 and -31\/145665.\nAnswer: 1310985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 14*x**2 - 14*x + 40. Let k be u(4). Let r = 208 - k. Solve -3*q - 5*b - 10 = -r*b, 0 = -2*q - b - 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**4 + 8*w**3 + 9*w**2 - 8*w - 5. Let u(p) = -3*p**4 + 16*p**3 + 19*p**2 - 16*p - 9. Let s(r) = -14*m(r) + 6*u(r). Let s(j) = 0. Calculate j.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at most 34253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 55 = 4*d, -4*y - 2*d + 614 - 600 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 669*j**2*q**2 - 12*j**2 - 2*j*q**2 - 226061*j*q + 1288*q**4 wrt q.\nAnswer: 1338*j**2 - 4*j + 15456*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4143197.\nAnswer: 19, 23, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1*(sqrt(68) + 2*sqrt(68)) + sqrt(68) - sqrt(68))\/(sqrt(1728)\/sqrt(12)))**2.\nAnswer: 5*sqrt(17) + 117\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, h: 1, n: 1}. What is prob of picking 1 h and 1 v?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*f = 103*f - 54080. What is the remainder when 13724 is divided by f?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-684)\/(-30) - 20)*70\/4 - 4. Solve -5 = 10*n - y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -851 + 3055. Suppose n = 8*c - 4*c. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(150) - (sqrt(150) + sqrt(150) + -6*(sqrt(150)*2 - sqrt(150)) + sqrt(150)))*-2)\/(sqrt(3)*-1*3 - -2*sqrt(243)))**2.\nAnswer: 128\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -3, 186929 in increasing order.\nAnswer: -3, 0.1, 186929","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 1\/53 (c) 0.1 (d) -1 (e) 26 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/813 (b) 0.02 (c) -2\/9 (d) -56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*88\/6*-2. Suppose -2*k + c = 228. Let b be ((-8)\/k)\/(2\/5). What is the nearest to 0.1 in -0.4, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, -6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -23, -45, -67?\n\"Answer: -22*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -237acb + -4?\nAnswer: -237b02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/570 and -74\/15.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(343) - -3*(sqrt(343) + 2))*-6 + (-5*(sqrt(343) + 0) - sqrt(343)) + sqrt(343)*-1*3 + -5)**2.\nAnswer: 128142*sqrt(7) + 2263192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (2282\/(-815))\/(12\/(-5))\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 468947232 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 8*k**3 - 14*k**2 + 14*k. Let q(c) = -3*c**3 + 5*c**2 - 6*c. Let l(r) = -3*r - 4*r + 5*r + r. Let p(a) = l(a) - q(a). Calculate 5*m(s) - 14*p(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49 + 56. Find the second derivative of 69*m**5 + j*m + 2*m**4 - 55*m**5 - 2*m**4 wrt m.\nAnswer: 280*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -835 and -836 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 22314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/3*(3 - 4). Suppose 0 = -4*j + 5*q - 6*q - 8, -j + 9 = t*q. Sort j, 5, 11.\nAnswer: j, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*3*sqrt(152))\/(sqrt(8) - (1*sqrt(968) - sqrt(968))) + -1 + -5)**2.\nAnswer: -216*sqrt(19) + 6192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/45*(-15)\/(-100).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t**5\/7 - 10*t**4\/7 + 166*t**3\/7 + 50*t**2\/7 - 158*t\/7 - 40\/7 = 0 for t.\nAnswer: -5, -1, -1\/4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x + 24. Calculate u(14).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 1. Suppose 3*v - 19 - 2 = d. Let o(z) = -z**3 + 7*z**2 - 4*z - 3. What is the smallest common multiple of v and o(6)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-7))**(-49)\/(f*f\/(f\/((f\/(f\/(f*f**(-5\/4)*f)))\/f))*f\/(f\/(f**(7\/5)*f))) assuming f is positive.\nAnswer: f**(6797\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/27 + ((-116682)\/(-54) - 9)?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1680 (base 11) to base 2.\nAnswer: 100001100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -47*f**2 - 25 - 14*f**2 + 67*f**2 + 10*f - f**3. Give k(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 164187*t**2 + 1555200 + 1017993*t + 3*t**4 - 1293*t**3 - 55529*t + 988*t**3 + 61376*t - 1117*t**3.\nAnswer: 3*(t - 240)**2*(t + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 9:32 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 341255 to the power of 1\/2, to the nearest integer?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 125510\/13040*4\/(-21).\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6650?\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254 = -3*l + 5*f, 5*l - f = 4*l - 82. Let z be 8\/(-52) - 12\/l. Solve z = 2*n + 8 - 18 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -0*f - 6. Let x(k) = k**3 + 4*k**2 + 4*k - 2. Let d(w) = 2*w**3 + 9*w**2 + 9*w - 5. Let a(t) = f*d(t) - 7*x(t). Give a(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -720584.7732 to the nearest 1000.\nAnswer: -721000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 7 = 22. What is the second derivative of -69*r + 2*r**2 + 35*r + u*r wrt r?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 3*g + 18 = 0, -2*i + 19*g + 8 = 17*g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 16 = 2. Let r(v) = 10*v - 18. Let h be r(2). Solve m*t = h*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-4 + 3 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 761 = -755. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 + -30. Suppose -k = -6*k + n. Which is the second biggest value? (a) 4 (b) -1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17892 - 7389. What are the prime factors of i?\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 357 (base 8) to base 11.\nAnswer: 1a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7 + -9.7. Let s = 0.05 - 10.05. Let p = i - s. Which is the closest to -1? (a) -0.2 (b) -0.02 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 10:28 AM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 581*u = 606*u - 250 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 976282 is divided by 1060.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28.56 + 0.44. Let f = 25.8 - v. Let p = f + -0.8. What is the nearest to -1\/4 in p, 1\/3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 a factor of 1600506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 20 - 29*c)*(-2 - 1 + 2).\nAnswer: 29*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*b - 10*b + 2*b**4 + 18*b - b**2 + 4*b**3 to the form f*b + i + a*b**4 + c*b**2 + z*b**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 13*z + 3. Let a = -11 + 16. Is x(a) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/41, -4\/3, 0.49?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -22*p**3 + 50*p**2 - 186*p - 210. Let g(i) = -4*i**3 + 10*i**2 - 37*i - 42. Let z(k) = -16*g(k) + 3*s(k). Factor z(a).\nAnswer: -2*(a - 3)*(a + 1)*(a + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - (2 + -7) - -4. Suppose -n + 74813 - 496418 = 4*i, 105425 = -i - p*n. What is i rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -3*c - 7 + 19, 0 = -2*c + 5*w + 20. Suppose -2*r + 5 - 1 = c. Let t(n) = -6*n - 180. Let j be t(-30). Sort r, j, 5.\nAnswer: j, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 6:32 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 23*x - 72. Let y be -23 + 2 + (7 + -15 - -3). Let g be q(y). Let j(f) = f - 5. Calculate j(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*u - 33, 75 = u + 3*u + d. Suppose 2*i - 3*i = 14. Let h = -10 - i. Calculate the remainder when u is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*n + 1342 = 39*n. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 571612.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4202766 divided by -1\nAnswer: -4202766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 227834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 5. Which is the closest to -1\/4? (a) -5 (b) m (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1596 and 2604805.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 7. Which is the third smallest value? (a) h (b) 0.5 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c*l**3*v - 23*c*l*s*v - 2*c - 3*l**3*s*v + 2*l**3*v + 3*l**2*v wrt c.\nAnswer: l**3*v - 23*l*s*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 6 + (-1755)\/438. Which is greater: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/5)\/l)\/l*l*l)**(-15)\/((l*l**(1\/2)\/l*l)\/l)**(8\/19) assuming l is positive.\nAnswer: l**(-118\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 3*y**2 - 2*y - 4. Let t be j(4). Suppose -4*x - x = 0. Solve 0 = h + 2*b - b + t, 3*h + b + 14 = x for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*b + 4*b + a + 46 + 6, 34*a = -4*b + 42*a + 308 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 86*j + 77*j + 79*j - 243*j. Let i(k) = -186*k**2. What is m(i(l))?\nAnswer: 186*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 6*t. Suppose -47*c + 55*c = 24. What is q(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = q + 63. Let n = -33 - q. What is the second biggest value in n, 0.3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from {r: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k + 1595 - 1714 = 0. Solve -k*i = 44 - 9 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a century in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 79*t**2 - 7 + 44*t**2 + 76*t**2 in the form a + d*t**2 + x*t and give a.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14\/2783 - 41801\/11132. What is the nearest to -1\/2 in -1\/82, r, -3?\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1732590 = 3386*b - 2240*b - 13317*b - 7080*b for b.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3\/5, -5 in increasing order.\nAnswer: -5, 3\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 31 = 16, -2*v = h - 562. Let l = 709 - h. What are the prime factors of l?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 6 = 8*s. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*w + 2 - 2 + w + 1 - 1 + (2 - 2 - 2)*(0*w - 2*w + w) + w + 2*w - 7*w)*(-5*w + 2*w + w + (-4 + 4 - 1)*(17 - 17 - 4*w)).\nAnswer: 2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 6 - 1\/2*k**2 + 0*k. Let p(y) be the third derivative of -y**5\/60 - y**2. Determine p(n(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -7\/2*a**3 + 5\/2*a**2 + 3\/2*a**4 - 1\/2*a + 0 = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 2*m - 5*m, q = 5*m. Let f be 0 + (-1 - 7\/(-9)). Let l = -17681 - -17678. What is the fourth smallest value in q, f, 7, l?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*c - 3*c + 2*c + 5*c to a*c + k and give a.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b**3 + 305 + 305 - 7*b**3 - 610.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.30063 and -6?\nAnswer: 1.80378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25894083?\nAnswer: 3, 31, 41, 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/((sqrt(2) - (sqrt(200) + sqrt(50) - sqrt(50) - sqrt(50))) + sqrt(2)).\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1768624?\nAnswer: 2, 11, 13, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 800211 less than 800213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3*(1 - 23\/(-6)) + (-7)\/2\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 70.9 in 2, 30, -0.8?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (48\/400)\/(114\/(-95))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3700244 divided by -236\nAnswer: -15679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23 - 133?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**7\/105 - 79*o**6\/150 - 451*o**5\/50 - 779*o**4\/20 - 18*o**3 + 486*o**2\/5 + 8592*o - 1. Let a(l) = 0. What is l?\nAnswer: -18, -3, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36056\/11431 = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3\/263 + -547\/1841. Which is the third smallest value? (a) 0.23 (b) -9 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*a - 17892 = -61*a - 344*a for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 q when two letters picked without replacement from qqififliqxfffiqi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*u + 4 = 0. Let g = u + 4. Suppose g*j + 52 = 6*j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*y - 12575 = 0, 2691 = -2*p - 3*y - 3604. Round p to the nearest 100.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/2 + 21*p**2\/2 + 71*p\/2 + 51\/2.\nAnswer: (p + 1)*(p + 3)*(p + 17)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 11:01 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + -5*sqrt(1728)*3)**2.\nAnswer: -2332950 + 21600*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41818407.\nAnswer: 3, 13939469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p. Let q(y) = -y - 2. Let l be q(-7). Let b = 5 - l. Let u be (2 - b)*-1 - 0. What is h(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1235 and 21655764?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 2, -33642 in ascending order.\nAnswer: -33642, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (60 + 17))*(7 - 140\/21).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 296*u - 6. Let x be y(-4). Round x to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 102313 + -68856. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c. Let a(w) be the third derivative of -w**5\/60 - 20*w**2. Give a(h(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 1044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.01 + -15.99. Let q = k + 20. Which is the closest to -3? (a) 0 (b) 2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 894b5 (base 13) in base 6?\nAnswer: 5201101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270076 - 215276 = 1284*h. Let f be (-1135)\/3 + (-4)\/6. Is h equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-29) + 70551\/(-2349) + -3?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.072 - -0.172. Put d, 2, -1\/5, -5 in decreasing order.\nAnswer: 2, d, -1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h - 1477 + 8497 = 0. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -410\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -517167.\nAnswer: 206866.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h + 11. Let y be u(-5). Let o(d) = 5*d - 6*d - 13*d. Give o(y).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yi when two letters picked without replacement from iyvjqdjyqyyqidj?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 21*b**3 - 36*b - 11. Let a(z) = -4*z**3 + 7*z + 2. Let f(o) = 11*a(o) + 2*x(o). Find the second derivative of f(y) wrt y.\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -110*d**3 - 5*d**2 - 23*d**2 - 272 + 61*d**3 + 53*d**3 wrt d?\nAnswer: 12*d**2 - 56*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, x: 2, s: 4}. Give prob of sequence xuss.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21542 + 19811. Does 82 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 15*u - 3. Let w(r) = -16*r + 2. Determine -3*w(f) - 2*z(f).\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/4)\/((-6)\/(-24)). Suppose 3*n + 4*w - 23 = 0, 0 = 3*n - w + 2 - 0. Let g be 14\/(-21)*c*n. Is 6 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*x + 4*j, 6*x - x - 6 = -2*j. Suppose -4*p = 3*m - 36 - 3, x*p + 5*m - 37 = 0. Solve -3*w + 12 = 0, 4*i - w + p*w - 40 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 m when three letters picked without replacement from mmmpmmmp.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/46 and -5\/22.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6628165550?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 t when three letters picked without replacement from nmtlttobolmbbm.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1173a9 (base 11) to base 4\nAnswer: -231102103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-28)\/4 - (3 + -5). Which is bigger: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 9*z + 4. Let q be b(-5). Let s(r) = -2*r + 16. What is the tens digit of s(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8632?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 336 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 2*q + 2*q**2 + 3 + 4*q - 1. Let l be j(-1). Let b(m) = -2*m - 1 - 6*m - 3 + 5. Calculate b(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = c + 2*c + 32, -3*o - 32 = 5*c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 1:14 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmaamaammmamaa. What is prob of picking 3 a?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 526323 is divided by 1309.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19.047 + 0.253. Let k = n - 3.3. Let c = k + -15.999956. What is c rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 582536 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 102 = -0*x. Does 12 divide 0 - 3\/((-3)\/x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 58521230 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 6:45 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 9\/8*a**4 + 0*a + 0 - 3*a**3 - 9\/8*a**2 = 0.\nAnswer: -1\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + -21. Let d be (-34)\/(-6) - (-2)\/6. Let g be ((-2)\/w)\/((-2)\/d). Solve 5*n - g - 3 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 11. Let p be 4\/(-12) - 1\/(-3). Suppose p = 2*z - 6*z - 8. Put -3, z, b in descending order.\nAnswer: z, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1673892.2 to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1890 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**14*c**(2\/25))\/(c**(-1\/23)\/(((c*c*c**(-1\/4))\/c)\/c)) assuming c is positive.\nAnswer: c**(31909\/2300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) 0.2 (c) 1.6 (d) -2\/9 (e) -46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/1373 + -37064\/9611. Let q = 321\/56 + u. Factor -9\/8 + 3\/8*h**3 + 21\/8*h - q*h**2.\nAnswer: 3*(h - 3)*(h - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -433\/78 + 70\/13. Let x = 14 + -14.5. Which is the nearest to 1? (a) v (b) 0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 425*g**2 - 425*g**2 + 7*g + 2*g**5 + (4 + g - 4)*(-g**4 - 5 + 5) - 2*g**4 + 2*g**4 + 2*g**5.\nAnswer: 3*g**5 + 7*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*m = -24*m - 17*m - 72 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -189 (c) -2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1310 - 0.02.\nAnswer: -1310.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8792\/(-371))\/8 + (-3)\/(-1). What is the closest to 1 in -5, -1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03 + -0.23. Let y be 30\/3 + 53\/(-5). Which is the closest to j? (a) -4 (b) 0.4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5838397 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2 + 2*j + 1. Let f be q(-1). What is the second derivative of 7*r**5 + 0*r - 4*r**5 + f*r + r wrt r?\nAnswer: 60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 525 + -513.04. What is s rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2150055 at least -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/218 and -53\/20.\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -6*v - v**2 - 14 + 8*v + 9*v. Let z be j(9). Let f(k) = k - 7. Give f(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 9:20 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*o**4 - 2*o + 4*o**4 + 28*o**4 - 4*o**4 wrt o?\nAnswer: 444*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000067520986 rounded to seven dps?\nAnswer: -0.0000675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(273\/479) - 30\/(-18). Let x = i - -3\/28. Which is smaller: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 6*s**2 - 7*s. Let b(a) = -5*a**2 + 6*a + 1. Suppose -4*x + 249 + 603 = 0. Suppose -10 + x = 29*d. Determine d*b(k) + 6*q(k).\nAnswer: k**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 5*f + 12, -1109*f = 6*y - 1107*f - 60 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i - 2 + 3965*i**2 - 3963*i**2 + i**3 + 0*i to the form x*i + o + v*i**3 + z*i**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(17\/3)*(s*s**(-2\/63))\/s assuming s is positive.\nAnswer: s**(418\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.735789 rounded to zero dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(7) + 1 + 2)**2 + sqrt(49)\/sqrt(175).\nAnswer: 31*sqrt(7)\/5 + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, -6, -7\/12?\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -9*u**3 - u**2 - 1. Let y(p) be the second derivative of p**5\/4 + p**4\/12 + p**2\/2 + 10*p. Calculate -3*c(x) - 5*y(x).\nAnswer: 2*x**3 - 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 41124 >= 41057?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1460 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0351734522388 - -0.3.\nAnswer: 0.2648265477612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -441873108?\nAnswer: -441873105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2489289 is divided by 311160?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.745 + -0.792. Which is greater: z or -1.8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -23270*o. Let y(a) = a**2. What is x(y(i))?\nAnswer: -23270*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 1270.8608\nAnswer: 1247.8608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 141 and 822.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: a (base 14) to base 5\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27659 is divided by 982?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*y**3 + y**3 - 2*y**4 + 6 + 6*y**3 + 1226*y - 613*y - 609*y + 2*y**2 to x*y**2 + f*y + l + j*y**4 + m*y**3 and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1361a (base 15) in base 7?\nAnswer: -346060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10470, -10445, -10406, -10353?\nAnswer: -10286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2649998 = 5*a - 3*k + 2*k, a - 2*k - 529996 = 0. Round a to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48852 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2916342761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 75 + -147. Let i = -157 - -236. Let r = i + b. Calculate the greatest common factor of r and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/4 + 1\/12. Let q = 67\/18 + -7\/2. What is the closest to -1 in -1, q, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -5 + 0*j + 3*j + 0*j. Let v(y) = -y. Let c(i) = 5*i - 3. Let q(s) = -c(s) - 3*v(s). Give -6*l(r) - 10*q(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -4*i**3 + 1189. Let n(j) = 22*j. Determine s(n(z)).\nAnswer: -5808*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 0.5 (c) 4\/3 (d) 133 (e) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a30 + 132?\nAnswer: 2b62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 - ((-65 - -24) + 27 + -10)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -3854 and -3854 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 441 + -438. Suppose 5*a = -d*t + 5007, 4*t - 5011 = -2*a - 3*a. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/1224 and -33\/16?\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 635730.\nAnswer: 2, 3, 5, 21191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 119*n**3 + 156*n**2 wrt n?\nAnswer: 714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 6*n**2 - 6*n + 4. Let m be l(5). Let y(o) = -4*o + 1. Let i be y(m). Let j(u) = u**2 + 4*u + 3. Does 12 divide j(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*c + 19*c + 6*c + (9*c + 19*c + 9*c + 23*c)*(6 - 3 - 2).\nAnswer: 78*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 5 - 1 - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - a - 21289 = 0, -2*a = 4*m - 7*a - 17048. What are the prime factors of m?\nAnswer: 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(468) + sqrt(312)\/(1*sqrt(6)).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -55*g*h**2*t - 4*g*h*t + g*t + 4*g + 15*t + 53 wrt h?\nAnswer: -110*g*h*t - 4*g*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-869)\/48 + 17)\/(0 + (-572)\/6) and -131\/5148?\nAnswer: 41184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-8) - 29\/(-2). What is the remainder when 59 is divided by (w\/(-39))\/(1\/(-66))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = -n. Let i be -2*(-5)\/(5\/2). Let o(s) = -3*s**2 + s - 2*s**3 + 5*s**3 - i*s**3 - 3. Calculate o(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -109 (c) -0.5 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = -i + 15*x + 5663216, 0 = i + 4*x - 5663184. What is i rounded to the nearest 100000?\nAnswer: 5700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4321152127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1593, 3, 8, 1, -12, -2 in descending order.\nAnswer: 8, 3, 1, -2, -12, -1593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1658975, 1658968, 1658959, 1658948, 1658935?\nAnswer: 1658920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, -1, 5\/138.\nAnswer: -6, -1, 5\/138, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 62725799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -l - 5. Suppose 0*u + 225 = -5*k - l*u, -3*u - 219 = 5*k. Is (-4350)\/k - 8\/14 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 + 27. Let g(o) = -o**2 - 6*o - 5. Let w = -11 + 5. Let q be g(w). Which is the third smallest value? (a) q (b) 1\/5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31009279 and 413?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o - 5 + o**2 - 4 + 6 + 5 + 0*o**2 as f*o + q + x*o**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*l = s - 18, -l = -3*s + 11. Solve 0 = -3*w + 2*v - 21, -4*w - 2*v = -s*w + 4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v + 9. Let c be r(9). Let k = c - 31. Solve 2*i = 7*i - k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 12 = 0, -2*u + 7 = -38*v + 35*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -5*y**3 + 20060*y**2 + 40135*y + 20070 = 0.\nAnswer: -1, 4014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/5)\/(2\/(-3)). Let m be (z\/9 - 1)*18. Let j = m - -35. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -0.0207 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9478104 divided by -632\nAnswer: 14997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -54995*a*k**2 + 2*k**2 + 65*k + 25 wrt a?\nAnswer: -54995*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139, -103, 295, 1235, 2897, 5461, 9107, 14015?\nAnswer: 20365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -208 bigger than -203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4008746*a + a**3 - 5*a**3 + 4008750*a + 892 - 892*a**2 + 0*a**3.\nAnswer: -4*(a - 1)*(a + 1)*(a + 223)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6038 is divided by 209?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -4. Let b be (0 - a)\/((-1)\/9). Calculate the highest common factor of 12 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 + -2 - -1 - (-13110 + 13167)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.7 and -3562682.\nAnswer: -3562681.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -697142, -1394280, -2091418, -2788556, -3485694?\nAnswer: -4182832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 367 divided by -5.\nAnswer: -367\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175086.\nAnswer: 2, 3, 71, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -c9e7 (base 15) in base 9?\nAnswer: -64561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9103*k - 3*k**3 - 192*k**2 - 2023*k - 3524*k wrt k?\nAnswer: -18*k - 384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**3 - 5*y**3 + 7*y**3 + 7*y**3 - 16*y**3.\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010110111000110000110 (base 2) to base 15.\nAnswer: -3b38c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.007*-23\nAnswer: 0.161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 41?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y - 1. Let o be f(-1). Let x = 0.1037 - 0.1037. Which is the biggest value? (a) o (b) 0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k. Let q be h(1). Let v(w) = 12*w**2. Let r be v(q). Is 3\/(-1)*(-16)\/r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 3:55 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**2 - 139*d - 3. Let n(a) = -5*a**2 + 278*a + 3. Determine 11*l(b) + 6*n(b).\nAnswer: 3*b**2 + 139*b - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24.9 + -14.6. Let t = -2977.4 + 2982. Let g = t - k. What is g rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5882 - -6782. What is the highest common factor of x and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -27879, -1 in descending order.\nAnswer: 4, -1, -27879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 498709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and (-36)\/48 - 54\/(-8) - -3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (38\/30 - (-2)\/5)\/((-119)\/(-18207)). Solve -40*g = 11*g + c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeoeeomeeoommeeooo. Give prob of picking 1 o and 3 m.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*k - 115 + 183 = 0. Which is smaller: k or -2\/2071?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/661 - -667\/1983. Solve 1\/3*o + u - 1\/3*o**2 - 1\/3*o**3 = 0 for o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 4. Suppose -x - 45 = -3*t, 5*x = x - 2*t - 124. Let k = -6 - x. Calculate the remainder when k is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 0 + 65993*z - 2 - z**2 - 65983*z. Suppose -n + q = -7, 4*n - 2*q = 3*n + 5. Determine d(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-24))\/(20\/(-15))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13051 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 125542, 502056, 1129544, 2008006, 3137442, 4517852?\n\"Answer: 125487*c**2 + 53*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*j**4 - 1 - 4*j**3 - 3*j + 6*j**4 + 0*j**3 + 7*j**5 - 1 + 14*j**2.\nAnswer: (j - 1)**3*(j + 1)*(7*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 119075905951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 9 = 4*y - 15, 3 = 5*y + 3*b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*a**4 - 4*a**4 + 296*a + 3*a**4 + a**4 - 2*a**4 + 48*a**3 wrt a.\nAnswer: -24*a**2 + 288*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**6\/30 + 7*t**4\/12 - t. Find the third derivative of n(a) wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69504, 277971, 625416, 1111839, 1737240, 2501619?\nAnswer: 3404976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 15 = -2*p, -a + 2*p = -4*a + 37 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47934413 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + l + 10 - 7 + 6*l**2 + 6 + 3*l. Let o be a(7). List the prime factors of o\/9*54\/(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2 + 11*y - 9. Let h be a(11). Let c = h + 132. Let q be (-2 - (c + -3)) + 21. Solve 0 = f + 2*f - 2*m - 5, -f - 3*m + q = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**2 - 2*p + 2. Let d be v(1). Suppose -d*a - 180 = -2*a. Find the common denominator of (-777)\/a - 8\/20 and 31\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -13*j + 1. Let g be -5 - (-1)\/(4\/(-16)). Let c = 8 + g. Let v(k) = -k. Let s be v(c). Determine u(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/(-2))\/5*(1 + 4). Suppose -3*r + 4*r - u = 0. Let o = -0.09 - -0.19. What is the second smallest value in r, -3\/7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 10. Let m = -11 + -2. Let f = -12.4 - m. What is the third biggest value in -2\/21, f, j?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -50107.91721.\nAnswer: -50110.91721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -229, -688, -1467, -2728, -4633, -7344, -11023?\nAnswer: -15832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -9*z + 32. Let y(j) = j**2 + 11*j + 5. Is y(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 - 20. Let h = -35 + q. Let z = 14.000078 + h. Round z to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2 + 5*r - 5. Let p(l) = 2*l**2 - 4*l + 4. Let s(c) = 4*f(c) + 5*p(c). Let m(v) be the first derivative of -v**2 - 4. Calculate s(m(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express s - s + s**3 + (-2*s + 2*s + 2*s)*(2*s - 2*s - 5*s**2) + s**2 - s**2 - 2*s**3 in the form k*s + c*s**3 + d + l*s**2 and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -8*s**3 - 170833950*s**2 + 42708488*s = 0.\nAnswer: -21354244, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 55691 (base 12) to base 2\nAnswer: 11011101010001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 972*g - 82315 + 8528 = 83*g for g.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 175 - 34 = 3*y, 5*b - 233 = -3*y. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3975\/(-477)*3\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -34182.8 and 67?\nAnswer: 34249.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 5*f + 164, -2*p - 63*f - 65*f = -6*p - 126*f + 68 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4*1\/(-2))\/((-14)\/(-448)). Let t(n) = 24*n + 64 - f. Let z(b) = -b. Calculate z(t(r)).\nAnswer: -24*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 699030 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 - 11. Let j be (11 + 0)*1*-1. Let b = q + j. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -2*g**6\/75 + 6*g**5\/25 - 11*g**4\/40 + 2*g**3\/15 - 8*g**2. Factor b(i).\nAnswer: -(i - 4)*(4*i - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*f + 84. Suppose -5 - 4 = 3*s. What is the tens digit of s + 0 - (f - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**4)\/j*j)**10\/(j\/j**(4\/7)*j**(-18\/7)) assuming j is positive.\nAnswer: j**(365\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 187, -1, 0.3, -7973 in descending order.\nAnswer: 187, 0.3, -1, -7973","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = q. Let u = 12 + q. Suppose 3*x - 2*o + 9 = -u, 4*o = 12. Sort -4, x, 5 in ascending order.\nAnswer: x, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**3 + 4*j**3 - 247*j + 245*j - 3*j**3 + 45*j**4 in the form p*j**2 + t*j**3 + m + a*j**4 + s*j and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 691556796 a multiple of 4298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 14*z**2 - 27*z + 1. Determine y(-12).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 233199, 466495, 699791, 933087, 1166383?\n\"Answer: 233296*i - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -72, -121, -192, -297, -448, -657?\n\"Answer: -2*p**3 + p**2 - 38*p - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 160 + -144. Suppose -6*o + a = -2858. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*f + 8 = 0. Suppose -l = -5*g - 20, 0*l - f*l - 2*g + 52 = 0. What is the greatest common factor of 25 and l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5961*-24.\nAnswer: 143064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -11467 (b) 2\/23 (c) 3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -397*q + 397*q - 28*q**2 in the form i*q + t*q**2 + a and give t.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -33\/36404788?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 178 = 26. Let s = -32 - g. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 138*p**6*s - 529*p**3*s + p**2 - 151*p*s - 34*s - 1 wrt p.\nAnswer: 16560*p**3*s - 3174*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0)**(1\/55)\/((w\/((w**(-5\/3)*w)\/w))\/((w\/w**(-2\/15))\/w)))\/(((w\/(w**1\/w))\/w)\/((w*w\/(w*w**(-5)))\/w)*(w**(-2\/3))**(9\/11)) assuming w is positive.\nAnswer: w**(497\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*g - 27*g + 4*g**2 - 40*g - 3*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 87, 178, 273, 372, 475?\n\"Answer: 2*d**2 + 85*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 6, -3*z - 65 + 44 = -p. Sort -146, 4, -1, z, 2 in increasing order.\nAnswer: -146, z, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 + 10*n - 9. Let x be c(-6). What is the units digit of x\/((-12)\/(-8))*25?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**4\/6 - 2*j**3\/3 - 3*j**2\/2 - 2*j. Let a(n) = -3*n**2 - 7*n - 6. Let c(l) = -3*a(l) + 5*m(l). Give c(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -1183*m**2. Let d(f) = 26*f**2. Calculate c(d(t)).\nAnswer: -799708*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 12:44 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5029 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n. Let q be g(-2). Let a be q\/(-6) + 2\/3. Suppose y = -0*y + a. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 39*f + 17 = 42*f, 5*g = 3*f - 7. Let s(b) = 14*b**3 + b**2 + b - 2. Calculate s(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in 9, -1, 2, 298, 1\/35?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -232694, -1861522, -6282628, -14892152, -29086234, -50261014, -79812632?\n\"Answer: -232690*o**3 + o**2 - o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 7*z + 6. Let o(h) = 10*h + 8. Let j(d) = -5*o(d) + 7*r(d). Calculate j(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 8*q + 1. Let r be f(1). Let b = 517 - 517. Sort b, r, 8 in descending order.\nAnswer: r, 8, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p - 8*p. Suppose -5*m + p = 5. Suppose k + 1 = -4. Sort m, k, 1 in ascending order.\nAnswer: k, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 240536 in 1\/4, -2, -1\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.026 + 8.074. Let z = r - 8. What is the closest to z in 0, -2, -2\/19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 b when two letters picked without replacement from aaeafbyyeyyxyabyy?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 109 - 88. What is the second biggest value in y, -3, 2\/11, 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4*p = p - 23, -10 = 2*p. Suppose 0 = -i*w + 14*w. Suppose 3*v = -5*m + 153, w*v = 2*m - v - 70. Does 31 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + 3*x)*(-3*x + 6*x - 2*x) + 2 - 5*x**2 - 2)*(-2 - x**2 + 2).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -396*v + 730*v - 319*v.\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -21. Let r be (-6 + 3)\/(c\/8). Let a be 1\/r - (-68)\/(-16). What is the third biggest value in a, -0.3, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 11. Let z be x(13). Let v be z\/5 + 3935\/25. Find the common denominator of 12\/(-42) + v\/(-14) and 11\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.04 (b) -1 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 920 and 5.\nAnswer: 4600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414050 is divided by 12534.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 34*b**2 + 77*b**2 - 87*b - 13 - 39*b**2 to s + z*b + a*b**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/6 - 449*q\/6 - 10697.\nAnswer: (q - 563)*(q + 114)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 9*a - 32. Let b be (a\/2)\/(14\/308). Let j = b - -92. Calculate the highest common divisor of 4 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 8. Suppose a - 2499999 = z, -a - 2500001 = -u*a - z. What is a rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2631?\nAnswer: 3, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76\/5 - -542\/35. Let y = 45.3 - 45.5. What is the nearest to 0 in -10, i, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33\/3289 + 4\/(-46)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/341 - -67173\/1364. Let k = -91 - -140. Let n = o - k. Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110000101 (base 2) to base 11\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from bcc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77247 is divided by 625?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/8 (b) -6 (c) -8\/5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (1 - 4)\/3. Suppose -f = -u*f. Suppose -2*s = 3*s - 10. Solve s*m + 2*m - 16 = f for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*o + 5 = -27*o + 3*q, 2*q + 6 = 3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.838 + -3.4. Let j = t + -0.078. Let q = j - 0.36. What is the second biggest value in 6, q, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 60 and 5403\/89 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -26. Let i = -8.88 - t. Let w = 0.12000049 - i. Round w to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 11:05 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 8*j + 3. Give m(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -2919?\nAnswer: 2916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 15*h**3 - 5*h**2 - 3*h + 11. Let q be b(4). Find the second derivative of -1814*p + q*p - 69*p**2 + 895*p wrt p.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 25*r + 10*r)*(-4*r + 4*r + 3*r).\nAnswer: -51*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/104 in -4, 7, -0.3, -2\/5, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -25203*o + 125756. What is y(5)?\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*a = -241 + 79, 4*a = -5*l + 207. Let j = l + -26. Let p = 15 - j. Solve 0 = 2*n - 0 - p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221375 is divided by 4607?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -89959 + 3?\nAnswer: -89956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -312 + 308. Let q = 6.3 - 6. What is the closest to 1 in 5, q, x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 125.788464752778?\nAnswer: -125.388464752778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2850408 to the power of 1\/3, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 687 is divided by 180.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79145 - -112855. Round y to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z**2 - 7*z + 6. Let o(p) = -4*p**2 + 6*p - 5. Calculate 7*o(w) + 6*t(w).\nAnswer: 2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = -5*k - k. Let y(i) = -5*i - 10. Suppose 4*l + 32 = -2*w, -4*l - 2*w = -4*w + 32. Let h be y(l). Which is smaller: k or h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8155, 7883, 7093, 5527, 2927, -965?\nAnswer: -6407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -945, -1, 2\/11, 0.8, 1\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (((-18)\/(-4))\/(-3))\/(3 - (-84)\/(-32))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -62372*x**3 - 29794*x**2 wrt x?\nAnswer: -374232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 2046824 and 2278.45.\nAnswer: 2049102.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/12*12\/20?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10121122100210 - 20?\nAnswer: -10121122101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -44251 (base 9) in base 11?\nAnswer: -20079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3.815732 millimeters?\nAnswer: 3815.732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, x: 1, r: 2, a: 9}. What is prob of picking 1 x and 1 a?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/27 - -26\/459. Let g = d + -107\/255. Let q be (-6)\/33 + 60\/(-154). Which is the closest to -1? (a) q (b) -0.3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-849528)\/6992*(-8)\/(-48)*1*-1*4?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 13\/(-18) - 6*(-5)\/135. What is the closest to -0.1 in l, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -410285 in ascending order.\nAnswer: -410285, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g + 125. Let i be f(57). Solve i*q + 31 = -24 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 22*z**2 + 11*z - 1. What is h(-21)?\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 930649 and 17920404.\nAnswer: 770577372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 24*y + 6. Let t be l(-23). Is t not equal to 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19093859 or 0?\nAnswer: -19093859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 1\/3, -5, 12, 1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 302*b**2 - 12950*b - 1543. Give t(43).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35265 by 2.\nAnswer: 35265\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -3, 1, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 39195\/12555 - (-28)\/(-9)\nAnswer: 1\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65\/108 + -1681\/108. Find the common denominator of 7822\/703980 - ((16\/(-10))\/4 + 2) and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 6 = 10. Suppose 5*m - 14 = -4*r, -2*r + 5 = u*m - 3. Is 6 not equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -243*l**3 - 20*l**2 + 936*l + 84060228 wrt l.\nAnswer: -729*l**2 - 40*l + 936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -882.46 * 11.5\nAnswer: -10148.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.63 - 0.03. Let f = r + 4.4. What is the biggest value in -0.3, -1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -61498.8 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 114.952 - -0.048. Let u = 114 - n. Sort -0.2, -0.5, u, -2 in descending order.\nAnswer: -0.2, -0.5, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 370.51 - 371. Let p = 10.0429241 - 10.53292361. Let f = p - x. Round f to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**10\/1008 - a**6\/72 - a**3\/3 + 15*a**2. Let g(t) be the first derivative of k(t). Find the third derivative of g(o) wrt o.\nAnswer: -600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2876606170 - 2876606170 + 31*z**3.\nAnswer: 31*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 637914871 to the power of 1\/2, to the nearest integer?\nAnswer: 25257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 3*t + 3. Let o be r(3). Find the common denominator of ((-2)\/(-12))\/(9\/2646*o) and -42\/31.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fepaepaeefpapf. Give prob of sequence ffaf.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -93711, -93052, -92393, -91734, -91075, -90416?\n\"Answer: 659*i - 94370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11830734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 3364?\nAnswer: 5\/3364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 15*f + 12. Let d be i(16). Let g = 4\/2693 + 2677\/10772. Which is the nearest to -2\/3? (a) -32 (b) d (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/((y\/(y*y\/(y**(2\/9)*y)))\/y)*y)*y**(2\/3)*y)**(1\/20) assuming y is positive.\nAnswer: y**(-1\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10686.99 - -238.99. Let n = s - -10629.98. Let j = -180 + n. Round j to 1 dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/23? (a) 508\/9 (b) 10\/11 (c) 0 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4*b + 1114 + 90 = 0, -3*q + 911 = -b. Let c = q - 290. Solve 20*x + 10 = c*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 536 - (2 + -2 - 8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-10) - (-96)\/(-15). Let u be ((-2)\/j)\/((-2)\/(-14)). Is 8\/3 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*k + 12 = 100, 5*l - 3*k = 505. Calculate the highest common divisor of 28 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(14\/9)*j)\/j)\/j**(-18)*(j\/j**(-8\/9))\/j*j\/(j\/(j*j*j**(-22)))*j assuming j is positive.\nAnswer: j**(22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/6203 - 328769\/31015. Calculate the common denominator of -3\/1820 and h.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000059341531 rounded to 7 decimal places?\nAnswer: 0.0000593","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2727.56207 to one dp.\nAnswer: -2727.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27300 and 16575?\nAnswer: 464100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + h - 75692 = 0, -196*h + 199*h + 6 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*t + 941821 + 1575299 = -18*t. What are the prime factors of t?\nAnswer: 2, 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 13 = -3*z. Suppose 0 = o - 5*o, 5*o = z*b - 20. Let v(t) = 2*t**2 - 5*t + 2. Let c(n) = n**2 + 1. Let h(i) = -c(i) + v(i). Give h(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qtx when three letters picked without replacement from {q: 2, x: 4, t: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -218 - -250. Calculate the remainder when 148 is divided by b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 28 - 32 = 0. Suppose 0 = f + 4*p, -3*f + 5*f - r = 2*p. Solve -2*s + 3*h = -h - 26, 5*s = f*h + 35 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 12*c**2 - 15*c + 63. Let h be (-36)\/414 - (-456)\/(-46). Let m be i(h). Solve -m*d = -10*d - 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 20 (b) 5\/9 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1651258954 to the power of 1\/2, to the nearest integer?\nAnswer: 40636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 1 + (3 - 2 + 0)*(5 - 6 - 3))*((-2 + 3 + 1)*(5*z + 0*z - 2*z) - z + z - 2*z - 2*z - 2*z + 2*z)*(-2 + 1 + 3) to the form w*z + c and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5207903 plus 1442?\nAnswer: -5206461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/865 (b) -3 (c) 0 (d) 20 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-13340)\/2210 - -6) + (-16)\/(-104). What is the closest to -2 in 729, 3, -3, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 367.244*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 11, 4, 9, 60, 13 in decreasing order.\nAnswer: 60, 13, 11, 9, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (173 - 36)*(-4 + -1). Let m = u - -692. Solve 2*a - 11 = -m for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -550 = 166*y - 56*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*z - 3*z - 3 + 6*z - 3*z - 11*z to h*z + i and give h.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*v**2 - 19*v - 16*v + 35*v + 64)*(1 - 1 + 2*v) in the form p*v + z + y*v**2 + b*v**3 and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 + 1 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5539148 + -7809148. Round q to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7071.119 days?\nAnswer: 169706.856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1165243, 2330488, 3495733, 4660978?\nAnswer: 5826223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 5*k**2 + 4*k + 6. Let n be -5 - (0\/5)\/(-3). Give x(n).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38.5 + 205.5. Let p = 171 - x. Sort -15, p, -1\/5, -3 in descending order.\nAnswer: p, -1\/5, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89731079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4.2 or -2\/3572921?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -11) + 13 + 24\/(-4). Let m(o) be the second derivative of -w*o + 3\/2*o**3 + 0*o**2 + 0. Let p(g) = -2*g**2. Give p(m(k)).\nAnswer: -162*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4 = 4*v - 2*c, -4*v = c - 12. Suppose 3*l = -v*n + 18, -6*n - 3*l = -3*n - 21. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4 - 9*i**3 + 8*i**2.\nAnswer: i**2*(i - 8)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 934.\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 173 + -169. Suppose n - 26 = -w. Calculate the greatest common factor of 209 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*1 + 25\/(-5) + 321. Let y = -153 + h. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 7 - 1 + 0 - 2 + 0 + 3 + 0 - 5 + (-2 + 3 + 1)*(-6 + 1 + 4) + 3 - 3 + 2 + (3 + 4 + 6)*(2 - 3 + 2)*(5 - 2 + 4))*(w + 2 + 2*w + 0*w).\nAnswer: 237*w + 158","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(13\/195)\/((-12)\/(-15))*-4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**3 + 388*q**2 - 11113*q + 38180 = 0. What is q?\nAnswer: -415, 4, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 0)\/(49\/(-3871)). Suppose -64*a - 30 = -g*a. Calculate the highest common factor of 4 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -75291, -75492, -75705, -75936, -76191?\n\"Answer: -u**3 - 194*u - 75096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-62)\/(-4) - (-86)\/(-172). Is -3 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35433*c - 25*c**2 - 35433*c + (-c + 2*c - 2*c)*(0 + 0 + c))*(3*c**3 + 2*c**3 - 3*c**3).\nAnswer: -52*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 2*y - 4*y)*(5 - 6 + 4 + (0 + 2 + 0)*(2 + 1 - 5) - 3 - 4 - 3)*(5 - 3 - 1)*(-6 - 8 + 5).\nAnswer: -99*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 25. Let k be (-12 - -2) + a\/1. Let p be (-2)\/(-3) + (-50)\/k. Solve p = -5*j + 2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 10*k**5 + 4*k**3 - 4*k**2 + 4*k + 4. Let n(o) = -o**5 - o**3 - o - 1. Let p(u) = -c(u) - 4*n(u). What is the third derivative of p(j) wrt j?\nAnswer: -360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*k + 45*k = -50*k - 36*k - 17976 for k.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -67 (b) -4 (c) 0.70851\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, h: 2, q: 2, x: 2, y: 2, j: 1}. Give prob of sequence qxjh.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 54 = -4*n. Suppose 4*a = -50 + 14. Let j = a + n. Solve 2*k - j + 1 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence im when two letters picked without replacement from kgxmiux?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 487 divided by 612.\nAnswer: 487\/612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 215063929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from yjjyyjpjaj?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 6:43 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/12*(-1)\/(-4)*4322 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13430 by 1015.\nAnswer: 2686\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -55*p + 413. What is d(9)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9856*c**4 + 7221*c**2?\nAnswer: 236544*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/45 (b) -1\/2 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.11676 - -14.11676. Let k = 28 - 28.3. What is the biggest value in x, -2, k, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6483 + 6482.75205. Round y to two dps.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u - 609 = 548 - 1045 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -954, -2116, -3704, -5934, -9022?\nAnswer: -13184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 divided by -3?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 421 and 14.\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((115\/10)\/(-1))\/((-5)\/(-2)))\/(12631\/126310)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -11. Suppose -2*o = 22 - 98. Suppose 5*s = 2*y - o - 87, n*y = -2*s + 140. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345 - a**3 - 54*a**2 + 345 + 111*a**2 - 57*a**2.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 75\/2 of a millimeter?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 26465.27 kilograms?\nAnswer: 26465270000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**2 - 9*t - 12. Determine y(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.1 + 0.01.\nAnswer: 3.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3354 + -0.0354. Which is the third smallest value? (a) 1\/3 (b) h (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from snwzslwzws. Give prob of picking 1 w, 1 l, and 1 n.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -12*g**3 - 58*g**2 + 45*g - 2007. Let i(v) = 19*v**3 + 88*v**2 - 70*v + 3011. Let f(n) = -5*i(n) - 8*z(n). What is the derivative of f(q) wrt q?\nAnswer: 3*q**2 + 48*q - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*g**3*x**2 + g**3*x - 9*g**3 + 8*g**2*x**2 + 6*g**2 + 2*g*x - 4*x**2 wrt x?\nAnswer: -14*g**3 + 16*g**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 74482 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*6543.3391\nAnswer: 1308.66782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l - 26*l = -66 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 696395 is divided by 858?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16170 and 6160?\nAnswer: 129360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, -1, -106 in increasing order.\nAnswer: -106, -1, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 538 = -3*b - 1357, 3*b + 835 = -m. Let r = b - -424. List the prime factors of r.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5830150511 to the power of 1\/2, to the nearest integer?\nAnswer: 76355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16*15\/(-70))\/((-494)\/133).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p**5 + 12*p**4 + 13*p**3 + 18*p**2 + 10*p + 6. Let h(q) = q**5 - q**4 - q**2 - q - 1. Let g(n) = -6*h(n) - i(n). Suppose g(u) = 0. What is u?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1\/50, 3\/5, 1 in decreasing order.\nAnswer: 1, 3\/5, 0.1, -1\/50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2815794*c**4 + 17693609 with respect to c.\nAnswer: -11263176*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-121 - 95 - 50)*(g + g - g).\nAnswer: -266*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -889*m**2 - 372*m**2 + 287*m**2 + (-2 + 6 + 10)*(2*m - m**2 - 2*m).\nAnswer: -988*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y + 89. Let v be b(-62). Let c(w) = w - 24. Calculate c(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1227 by -1.\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - -4.1. Let d = 0 + m. Let u = 7 - d. Which is the closest to -2? (a) 0.4 (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 42*f + 2. Let p(x) = -x**2 - 1. Let t be p(0). Let z be h(t). Let v = z - -71. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 5421.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2351229 is divided by 5492?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 - ((-18 + 6 - -34) + -46)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -301 + 296. What is the fourth biggest value in -7\/2, m, -1\/6, -2\/15?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p**2 + 1. Let n(y) = y**2 - 2*y - 2. Let k(z) = z**3 + 7*z**2 + 4. Let i be k(-7). Let s be n(i). Let l = -7 + s. What is u(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244 + 64 = -180*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, z: 5, y: 7}. What is prob of picking 2 h and 1 y?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 543 + 297. Suppose -8*b + p = -5*b. Suppose 2*o - b = 5*g, 2*o - 3*g + g - 44 = 0. What is the remainder when 106 is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -33 + 3. Let p be -2*(2 + z\/(-12)). Let f = -2 - p. Which is greater: 1\/2 or f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than 51.313723?\nAnswer: 49.313723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 365 or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 7:55 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 - -103. Suppose -142*g + 6028 = -1924. What is the highest common divisor of n and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -360349, -720718, -1081087, -1441456, -1801825, -2162194?\n\"Answer: -360369*b + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((5 - (-3 + 4)) + -3)*1. Let g be (-4*(-25)\/20)\/h. Let m(j) = j**3 - 6*j**2 + 3*j. Calculate m(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-16)\/(-6)) + (-75)\/(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d*j*q**2 + 2*d*j - 12*d*q*w + 7*j**2*q*w - 5*j**2 - 5*j*q**2 + 3*q**2*w with respect to w.\nAnswer: -12*d*q + 7*j**2*q + 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 305341, 305342, 305343?\n\"Answer: j + 305340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-60)*24\/(-14).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18*-2*3\/(-18). Let c = -6 + w. Let d be 13\/(-21) + (-11)\/(-33). Is c <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 7*g**2 + 7*g - 7. Suppose -5*x + 2 = -2*z - 11, 0 = z + 5*x - 31. Let j be l(z). What is j rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201048291 is divided by 67016096?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 302453 > 302425?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 33\/53462?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/1034 and 25\/47.\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o - 4. Calculate f(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 3. Let a(i) = 24*i + 141. Let f be a(-6). What is the tens digit of f*1\/(q\/(-19))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144040 is divided by 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -33 (b) -16 (c) -0.4 (d) 0.4 (e) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28\/107 + -7439\/214. Calculate the common denominator of q and (-3)\/((-1368)\/4874) - (-48)\/(-456).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*f - 9*f + 36*f)*(-220*f**4 + 18*f**4 - 84*f**4 + (1 + 1 - 4)*(-f**4 + f**4 - 2*f**4)).\nAnswer: -15792*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 41*n - 1309. Calculate i(-20).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3*sqrt(245) + 4) + (-6*(sqrt(245) + (sqrt(245) - (sqrt(245) - (-3 + 2*sqrt(245))))))**2.\nAnswer: -4557*sqrt(5) + 79700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**5\/60 + k**3\/6 - 2*k**2. Let m be w(-2). Solve 3*s = u + m, 4 = -2*u - 5*s + 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 20*i**2 - 3*i + 26. Let s be d(-6). Let g = s - 536. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*t - 5*r = -37*t + 618, 2*r - 965 = -3*t. What is the greatest common divisor of t and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 66*v - 76*v. Solve 3*b = -5*n + 12, v*b - n = 4*b + 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46\/7 + -7. Let z = 0.4 + 0. Let j = -0.16 + 0.06. Which is the smallest value? (a) v (b) z (c) j (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64 + -1. Let j = -71 + r. Let p = j - -12. Calculate the greatest common divisor of p and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4298*t - 8543*t = -3591*t - 5694 - 17850 for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 120 - 110. Solve -p*j = -6*j + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) -4.39 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31.4 + 32. What is the second biggest value in -3, 0.2, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 o when three letters picked without replacement from zznzozzoooz.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by ((14\/4)\/(-7))\/(30\/(-600)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67ae (base 15) to base 16\nAnswer: 55e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**4\/6 + 437*w. Let m(z) = -829*z**2. What is m(d(v))?\nAnswer: -3316*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 11 - 38 = 0. Suppose 0 = u*a - 10 - 11. Find z such that 2*z**4 - 5*z**a + 8*z**4 - 5*z**4 - 10*z**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -55\/6, -1\/9 in decreasing order.\nAnswer: -1\/9, -1\/5, -55\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.64 - -2.29. Let z = -6.55 - 28.7. Let c = d - z. Round c to the nearest integer.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 8*d + 6. Let v(z) be the first derivative of -9*z**2\/2 - 69*z + 101. Let f be v(-7). Calculate t(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -6 + 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/1475824 and 115\/1660302.\nAnswer: 13282416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 173*t**3 + 4*t. Let l(r) = 172*r**3 + 6*r. What is -3*f(i) + 2*l(i)?\nAnswer: -175*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -w - 5. Suppose 1344 - 2047 = -19*j. What is the remainder when j is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - 81395932753361*b**2 + 81395932753353*b**2 - 2*b.\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -15.5 (c) 0.2 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 12*l**2 - 19*l + 7. Let y be m(11). Let f = 117 + y. 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: Does 3 divide 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -cd4a0 - 0?\nAnswer: -cd4a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 645 - 633. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69037427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 104235478471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**3 + 2*u**2 - 2*u. Let p(b) = b**3 - b**2 - b + 1. Let l(x) = -h(x) + p(x). Is 11 a factor of l(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 868 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(475)*-2 - sqrt(684)*-2*3) + -3 + -5 + (sqrt(133) + sqrt(133)*2 + sqrt(133))\/sqrt(7) + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15123*r - 15127*r + 50 = 5*a, 46 = 4*r + 3*a for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-1)*1\/1. Let h(u) = 3 + 3*u + 1 - 7*u**2 - a + u**3. Is h(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r - 26. Let c be k(7). Let w = 26 + c. Let p(u) = 2*u + 8. Give p(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 230630 and 4230.\nAnswer: 97556490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 45085570?\nAnswer: -22542785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10331309 is divided by 505?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.103 - 0.172. Let p = w - -0.055. Round p to three dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 98338 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 48, 44, 38, 30?\n\"Answer: -c**2 - c + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -155 + 459. Let j = 128 + -283. Let n = j + b. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o + 3*o**2 - o + (2*o**2 + 0*o + 0*o)*(0 + 4 - 3) + 3*o**2 - 3*o**2 + 2*o + 2 + o**2 in the form h + l*o + t*o**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 3*d - 3 = 0, 5*d = -6235*g + 6234*g + 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 (base 9) in base 3?\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -21, 0.059, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3852637 to the nearest ten thousand.\nAnswer: -3850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1998043900 to the nearest 100000.\nAnswer: -1998000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -185 + 205 - (-1 + 33).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32012411 - -23?\nAnswer: -32012333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 255*y**2 + 11*y - 3. Is n(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 102 = 182. Let g = q - 69. Suppose -g*i = y + 3 - 164, 5*y + 5*i - 800 = 0. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1571038.\nAnswer: 2, 7, 17, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -8*l - 26. Let o be (-7)\/((-28)\/(-8)) - 10. Let p be w(o). What is the greatest common factor of 14 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 822\/(-959)*(-42)\/(-99)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74 - 74. Let m be 10\/3*(-6)\/(-5). Let r be -3*-1*(-8)\/(-6). Solve w = -m*n + f + 1, f = n - r for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, i: 9, s: 1, u: 2, c: 1}. What is prob of picking 2 u?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(250) + sqrt(10))*-3)\/(4*(3*sqrt(500) + sqrt(500))) + -5.\nAnswer: -5 - 33*sqrt(2)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -444, -430, -402, -354, -280?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.05 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 3 = -0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8323809 is divided by 148.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.066062 and 101.\nAnswer: -6.672262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.12462998 + 8.17541902. Let k = -4.3 + 12.6. Let l = g - k. Round l to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2. Suppose 5*t = -27 + 7. Let d(s) = -s**2 - s - 1. Let a(f) = t*o(f) - d(f). Let n be a(-1). Sort -1, 0, n.\nAnswer: n, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 6. Solve 4*r**5 + 4*r**3 + 7*r**4 - 3*r**4 - l*r**3 - 2*r**5 = 0 for r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13013587?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + 1, -5*b + 3*p = -34 + 46 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 570 = 72*y - 110*y for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 13 = o - 3*d, 7 = -o + 3*d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 9*k + 81. Let c be w(6). Is c + 1 + (-18)\/(-6) + -1 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 578286.07 to the nearest one hundred.\nAnswer: 578300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.2823 rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*y**2 - 5*y**2 - 11*y**2 - 22*y**2.\nAnswer: -52*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/253 - (8\/4)\/(253\/(-34))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 45*p + 4 + (0*p + 0*p - 2*p)*(-2 + 1 + 2))*(3 - 3 + 2).\nAnswer: -94*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -174, -547, -1122, -1899, -2878, -4059, -5442?\n\"Answer: -101*j**2 - 70*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81 - 61 - 42)*(k - 30 + 30)*(4 - 2 - 1)*(-4*k - k + 3*k)*(-3 - 1 + 6).\nAnswer: 88*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 87 - 82. Suppose 0 = u*m - 9*m + 20. Solve 14 - 19 = m*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7038374 by 14.\nAnswer: 502741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1820070261?\nAnswer: 3, 823, 245723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 8.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -33262477 and 3.6092.\nAnswer: -33262473.3908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -92.0572 and -49950.\nAnswer: -50042.0572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b - 7. Let h(o) = o**2 - 16*o + 3. Let x be h(16). Suppose 4*w = -5*i + 17 + 3, 5 = w. Suppose -3*p + 0*a = -a, x*p + 3*a = i. Give k(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8096 or 24284\/3?\nAnswer: 24284\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -2954?\nAnswer: 2953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -14*s + 53. Let p(y) = -7*y**2 - 12*y - 7. Give p(w(q)).\nAnswer: -1372*q**2 + 10556*q - 20306","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/9)\/(w**(-3\/10)\/w))**(-48)\/((w**(-1\/7)\/w**6)\/(w\/w**0*w*w*w*(w*w**(-6)*w)\/w)) assuming w is positive.\nAnswer: w**(-7132\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000825334 to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 0.2, -1, -5 in decreasing order.\nAnswer: 0.2, -1, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 130602744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 834 - 541. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 19 + j**3 + 3*j - 2*j**2 - 1\/4*j**4. Let v be p(2). Which is the closest to 3? (a) -2\/3 (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/57477 and -41\/527.\nAnswer: 1781787","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18642\/(-104))\/((-3)\/40). Suppose -c + 133 = -37*j. Do j and 62 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**4\/6 + h**3\/2 - 10*h**2 - h - 7. What is the first derivative of n(y) wrt y?\nAnswer: -4*y + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -j - 100. Let o be (j\/15)\/((-8)\/6). Suppose 4 = 4*m + 20. Sort o, m, 1 in increasing order.\nAnswer: m, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (2 - 7 - -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 255 - 430 = 0. Suppose 3*v = -o + 434. What is the highest common divisor of v and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -0.2. Let i = -8.5 + 8. Let r = 1709 - 1709.1. Which is the nearest to r? (a) l (b) i (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 152916?\nAnswer: 1682076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3442 - -11745. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -5*i - 5. Let c = i - -23. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -816 - -821. What is the smallest value in -14\/3, -3, v?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 26*h**4 - 13*h**2\/2 - h + 68. What is the second derivative of c(g) wrt g?\nAnswer: 624*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15252 and 364326.\nAnswer: 22588212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11.2 + 12. Let g = -0.93 + y. What is the second biggest value in -1, 2\/9, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -6 (c) -4 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41908968.\nAnswer: 2, 3, 251, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5171552 is divided by 226.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/28 less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 28, 77, 152, 247, 356, 473, 592, 707?\n\"Answer: -m**3 + 19*m**2 - m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 215 and 84179681.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -18*p - 3*p**3 + 1\/4*p**4 + 0*p**2 + 0. Factor y(k).\nAnswer: 3*k*(k - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -12 - 3*i**3 + 2*i**3 - 3 + 11*i**2 + 5*i. What are the prime factors of g(10)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*h - 1608 = 408*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 1\/3*k**3 - 10 + 93\/4*k**4 - k + 1\/2*k**2. List the prime factors of g(1).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 20*g - 18 + 327*g**3 + 17 + 9*g**2 + 25. Let x be i(-19). What is x rounded to the nearest one hundred thousand?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.4, -4, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3797?\nAnswer: 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 882711.9 millilitres to litres.\nAnswer: 882.7119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 107\/(-39)*2\/(-14) + (-167)\/((-219271)\/(-202))\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 29. Suppose 5*u + 558 = 6*z - 3*z, 0 = o*z + 3*u - 391. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -346 + 346.0107. Round g to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2142918 by 102.\nAnswer: -21009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 501770278 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 639775271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqq when three letters picked without replacement from {q: 2, m: 2, n: 1, u: 2, t: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 4*m + w, -w = 5*m - 2*m + 23. Let t = -4 - m. Let v(p) = 7*p**2 - 6*p**2 - t*p + 4*p. Let j(x) = 5*x. Give j(v(b)).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 32*(-75)\/(-400)*5\/150*-22?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 2:21 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 5\/6, -5, 1, -97?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 11:52 AM?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24100?\nAnswer: 2, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -170164 (base 9) to base 2\nAnswer: -11001101010011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55715581949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37576270573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 700013, 700015, 700017, 700019, 700021, 700023?\nAnswer: 700025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/3, -0.13, -1 in increasing order.\nAnswer: -3, -1, -0.13, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rkzz when four letters picked without replacement from {z: 2, k: 4, r: 3}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*r**3 - 11*r**3 - 10*r**3 + 784*r + 4*r**3 - 2*r**2 in the form n*r + o*r**2 + x + m*r**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -26927 and -174?\nAnswer: 26753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 9.93. Let i = k + 2.93. Let j = i + 0. What is the closest to 1 in -2\/11, j, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**5\/9 - 3452*m**4\/9 - 2*m**3\/3 + 10360*m**2\/9 - 6904*m\/9 = 0.\nAnswer: -2, 0, 1, 1726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 370 - 9468 = 2*x, -4*x - 9106 = 5*v. Let b = v + 50895\/28. What is the common denominator of b and 143\/6?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219332 divided by 6?\nAnswer: 109666\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -24*l**2 + 554*l - 50. Let z be d(23). Put -1, z, -9, -2 in ascending order.\nAnswer: -9, z, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 780297 is divided by 153.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 32\/240 - 129\/(-45)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cxccccacxavacvc. Give prob of sequence vaaa.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 3*a + 3. What is k(6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -0*h - 8. Let a(j) = j**3 + 55*j**2 + 415*j + 52. Let q be a(-46). Let p = 3 + -3. Solve p = -h*d + q*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u - 9*u - 9*u + 105 + 22*u in the form v + m*u and give v.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 26*x**2 + x + 20. Let i be y(-26). Sort -3, 13, i.\nAnswer: i, -3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1249, 2512, 3801, 5128, 6505, 7944?\nAnswer: 9457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 851.8 in -2\/13, 1\/6, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4*p**(-1\/11)*(p\/(((p*p**(-3\/5))\/p)\/p))**(-4))**(7\/10) assuming p is positive.\nAnswer: p**(-2499\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/8)\/(8\/16).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 7*a**3 + 60*a**2 + 12*a + 44. What is l(-8)?\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*o**3 - 118*o**3 - 2*o**2 + 2*o**2.\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/21 and 49\/549.\nAnswer: 3843","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -382\/9497 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 13*u**6\/6 - 11*u**3\/3 - 17. What is the third derivative of j(t) wrt t?\nAnswer: 780*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.939 + -0.061. Let l = -2 - -6. Sort l, d, 2\/13.\nAnswer: d, 2\/13, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g**2 - g + 1. Let h be u(1). Let p = h - -16. Suppose -25 = -5*t - p. Solve t*w - 5 = v + w, 0 = -5*v + 2*w + 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 1780175.\nAnswer: -3\/1780175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*n + 21*n = -791073. What is n rounded to the nearest 100?\nAnswer: 9500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 9*o - 11. Let l be w(-6). Let m be (-104)\/3*(l - 10). Suppose z = -3*z + m. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lpve when four letters picked without replacement from epevveelpeppl?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36471, 36497, 36523, 36549, 36575?\nAnswer: 36601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tucvvivcictztictc. What is prob of picking 1 i and 1 u?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 12:32 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*z - 30*z - 465 = 0. Let i = 1190 + z. Calculate the remainder when i is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20602 - 20599. Solve -25 = -4*i - 5*t - 18, -r*i = 4*t - 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -152544?\nAnswer: -1\/76272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6065.6 times 5?\nAnswer: 30328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(1\/(-3)*6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.8216 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/4 + 81*n**3\/2 - 163*n**2\/4.\nAnswer: n**2*(n - 1)*(n + 163)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1486 and 220.\nAnswer: 163460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jz when two letters picked without replacement from {l: 2, z: 5, j: 6, s: 1, e: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 417823 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s + 6040 - 6040.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 13) in base 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9073 divided by -5.\nAnswer: -9073\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 50752 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - (-5)\/((-15)\/6). Suppose -w*h - 32 = 2*h. What is the remainder when -2*(-3)\/h*-56 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 2*u = -15, -22*u - 5*u + 108 = 0 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/5 - 1577448*g\/5 + 311042774088\/5.\nAnswer: 2*(g - 394362)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(6)*-5)\/sqrt(5).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*u + 8, -3*u - 1 = -4*v - 0*u. Let p(x) = -1 + 7*x - x**2 - 2*x - v. Let j be p(4). Which is bigger: -1\/3 or j?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {p: 14, y: 5}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -381 + 415. Solve 7*m + 4*n + 32 = 3*m, -5*m - 3*n - y = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2796604, -2\/7, -6 in decreasing order.\nAnswer: 2796604, -2\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + h = 411, -2*i - 4*h = -2*h - 278. Let t = 65 + i. Let f = t - 3817\/19. Which is the third smallest value? (a) -0.1 (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 50*l + 133. Determine i(48).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -723, -1380, -2037, -2694, -3351?\nAnswer: -4008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3396 is divided by 100.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 247112 - 443112. Round h to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/9 and -19\/672.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 440 and 56408.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.126 smaller than 37429\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2415.89138 rounded to one decimal place?\nAnswer: -2415.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 28*f**2 + 50*f - 17. What are the prime factors of n(27)?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 250704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 583713\/632 - 7167\/79. Let w = u + -841. Find the common denominator of w and (-8)\/30*25\/(-30) - 4704\/(-1188).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*t = -237*t + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5566 - 476*j**2 - 5566.\nAnswer: -476*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79 - g - 67 - 500.\nAnswer: -g - 488","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4*j + 0)*(-58 + 8*j**2 + 58 + (0*j - 3*j - j)*(-3*j - j + 3*j)) as q + k*j + c*j**3 + f*j**2 and give c.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 11:24 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -3*x + 5, -17 = -5*x - 2*r - 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349941*u**4 + 349947*u**3 + 6*u**2 = 0 for u.\nAnswer: -1, -2\/116647, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 6*u**2 + 18*u + 19. Let q be t(-11). Round q to the nearest ten.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25572 - -62615. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**4 - 270*f**3 - 2425*f**2 + 19500*f.\nAnswer: -5*f*(f - 5)*(f + 20)*(f + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*o + 44*o = -26. Suppose -o*w + 1360 = 3*w. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1710 + 4053 = 3*y + 3*r, 0 = -5*y - r + 9601. Let d = y - 1289. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1052294.5 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1052 - 1047. Let q be 3 - (0 + (-3 - -5)). What is the third smallest value in q, -3, 4, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(304) - sqrt(304))*-5 + -4 + (sqrt(304) - sqrt(304)*-1).\nAnswer: -4 + 68*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-28360)\/24 - 1)*(-6)\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence se when two letters picked without replacement from {w: 4, s: 1, e: 1, n: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15680 - 5*r**3 - 1653*r**2 - 5040*r + 2993*r**2 - 1640*r**2.\nAnswer: -5*(r + 4)*(r + 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -42\/25, -1, -10\/33 in increasing order.\nAnswer: -42\/25, -1, -0.5, -10\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/423 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1876 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 1 = x, 5*i = -3*x + 17338 - 17347 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 9*r**2 + 55*r + 9. Let w be j(-6). List the prime factors of (134\/(-3))\/((-2)\/w).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**2 + 40*k + 157. Determine g(-6).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -204\/13 + 421\/26. Factor -o*m - 1\/4 - 1\/4*m**2.\nAnswer: -(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 2. Let o be y\/(((-10)\/2)\/1). Let g be (12\/(-27))\/(1292\/(-306)). Which is the nearest to o? (a) -2\/7 (b) g (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5657804623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20201.\nAnswer: 20201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.98 - -0.02. Let v = -156025\/22 - -14183\/2. What is the smallest value in -0.2, -4, v, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/10*531570\/(-1833)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**3 - 2*x - 13. Calculate y(3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3310020 (base 4) in base 9?\nAnswer: -23380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = 304 - 21748. Suppose -194 = 13*b - t. List the prime factors of b.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52626 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/5*25\/165*11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -108924 + -38?\nAnswer: -108960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/69759 and -17\/4511082?\nAnswer: 13533246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 i when three letters picked without replacement from {i: 2, z: 4, j: 3, a: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 428 divide 522905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19585733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 5*m - 32, -7 = 4*g + 4*m - 39. Suppose 0 = d - g*p - 41 + 6, -2*d + 85 = -5*p. Is 26 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 29 = -3*k - 20, 0 = 4*k - 4*w + 64 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/8 (b) -2 (c) -157 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 40895.37 hours?\nAnswer: 147223332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 80*j**2 + 18. Let f(i) = 1. Let z(a) = 5*f(a) + u(a). Let q(t) be the first derivative of z(t). Let v be q(2). Round v to the nearest ten.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000753 to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9276574?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -9*x**3 - 433*x**2 - 47*x + 78. Let f = 235 + -139. Calculate the lowest common multiple of f and i(-48).\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*r + 43 = 56*r + 3*d, -8 = r - 3*d. Solve -2*q + r*q - 15 = o, 3*q - 9 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**2 - u**2 - 2*u**2 + (2*u - 4*u + 4*u)*(-859 - 13*u + 859).\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 186*j**3 + 1462 - 1462 + 0*j**2 + 0*j**2 - j**3 + (-5*j**2 - 7*j + 7*j)*(-1 + 1 - j).\nAnswer: 190*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2537, 2115, 1689, 1259, 825, 387, -55?\n\"Answer: -2*z**2 - 416*z + 2955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 333 - 333. Which is the smallest value? (a) 0.5 (b) k (c) -2\/11 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 829 - 4142\/5. Let 3\/5*c**5 + 6\/5*c**4 - o*c + 0 - 6\/5*c**2 + 0*c**3 = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 4*l**2 - 6*l - 6. Suppose -9 + 4 = r. Let j be f(r). Let w(a) = 18*a - 239. Let z be w(13). Sort j, 3, z in ascending order.\nAnswer: z, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 10. Let k be -3 - (z - 0) - 59. Let j = 283\/5 + k. Which is smaller: 2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, 3\/7, -36, -2\/9, 2468\/5, 3\/5?\nAnswer: 2468\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 14\/5. Suppose p = 4*s - 46, -5*s + 50 = -p - 0*p. Let u be ((-8)\/p)\/(2\/(-3)). Are u and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g - 6*g + 5*g - g. Suppose 3*k = 5*h + 22, 3*h = 2*k + k - 12. Let o(l) = 2*l**2 + 3*l + 1. What is k*o(j) - 5*v(j)?\nAnswer: -2*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 86 = 5*v, -6*v + 5*r = -3*v - 64. Suppose -v = 4*m - m. Sort 4, -5, m in increasing order.\nAnswer: m, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1914*v**3 - 11*v**2 + 213.\nAnswer: -11484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 95\/3 in 14, -0.4, 1, 1.3?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, w: 15}. Give prob of picking 4 w.\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express q**4 - 4*q**2 + 12*q + 26*q**3 - 16*q + 4 - 28*q**3 in the form m*q**4 + i*q + v*q**3 + h*q**2 + c and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 26\/(-10)*3\/(-35). Let s = 2\/25 - v. Let a = 0.1078 + -1.0078. Put -4\/9, s, a in descending order.\nAnswer: s, -4\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 0*z + 1 - 1\/2*z**4 + 0*z**2 + 2\/3*z**3. Factor a(n).\nAnswer: -2*n**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 12:58 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -114 (base 15) to base 3\nAnswer: -100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 13*b**2. Let r(z) = -4*z**2 + 2*z. Let i(c) = 21*c**2 - 11*c. Let m(j) = -2*i(j) - 11*r(j). Give p(m(k)).\nAnswer: 52*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1168 - 591. Let p = y - 577.3872. Let r = -0.4 - p. What is r rounded to 3 dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/(-18))\/(1*-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/1*7 + 0. Let r(v) = v + 5. Let q be r(-5). Suppose q = 3*j - 5*j + 16. Is n greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16191*k**3*r - 17*k**3 - 1476*k**2*r - 9599*k**2 + 3*k - 2 wrt r?\nAnswer: 16191*k**3 - 1476*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -483*a + 14464. What is d(34)?\nAnswer: -1958","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1450905?\nAnswer: 3, 5, 197, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23245897 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**3 + 25*p**2 + 79*p - 57. Determine y(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) -5 (c) 2\/3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11940*q + 8142 = 12117*q for q.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/26, 0.2, -1, 213, -40?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2186 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i**(-1))\/i)\/(i*i**(-9)))\/((i*i*i*i\/(i\/i**(5\/7))*i)\/i**(4\/3)))**21 assuming i is positive.\nAnswer: i**76","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o**3 + 3*o + 2. Let w be f(-1). Let n(s) = 2 - 3*s**2 - 4 + w - 3 + 3*s - 4*s**3. Let r(z) = -z**3 - z**2 + z - 1. Calculate -2*n(a) + 6*r(a).\nAnswer: 2*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9197866.86 rounded to the nearest one thousand?\nAnswer: -9198000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47626631\/2169780 + -2\/108489. Let i = w + 106\/5. What is the biggest value in -33\/7, -0.1, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172014 - 2*h + 2*h + 172014 + h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from etggcectgegcetgcg. Give prob of sequence cee.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9217 and 45376?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/7))**7*(b**(-1\/3))**(-5\/17)*(b**(-1))**(2\/63)\/(b**(-1\/7)*b**(-3)) assuming b is positive.\nAnswer: b**(185\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 462 + -228. Is 39 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150024767209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 0)\/(210\/12 + -13)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -29 and 883885?\nAnswer: 883914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 148 + -130. Let z be -15*(-34)\/4*(-14)\/(-21). Let s = -79 + z. Calculate the remainder when v is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of w**4\/9 + 20*w**3\/9 + 6*w**2 + 43*w - 56. Let c(f) be the first derivative of s(f). Solve c(g) = 0.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*d - 12, -2*d = -6*d + 4*a + 4. Suppose -i = 1, -d*i = -2*t - i + 24. Calculate the greatest common divisor of 15 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -5*w. Let g(a) = -13*a - 383. Give i(g(l)).\nAnswer: 65*l + 1915","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/4 - (-2)\/16. Suppose x + 46 = 2*f, 2*f + 3*x = -2*x + 22. Let v = 20 - f. Is t at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -310\/3 < -102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -71701.1 to the nearest one thousand.\nAnswer: -72000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*r**4 - 27340581*r**3 + 113213769*r**2.\nAnswer: -144*r - 164043486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 18 = -q + 7*z, 80 = 2*q + z. Suppose -2*n = -60 - q. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*z + 78*z + 185*z + 25*z in the form w*z + i and give w.\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b7 (base 12) to base 13.\nAnswer: 18a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0506 rounded to three dps?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**5 - 4209*k**4 + 4514119*k**3 - 178789071*k**2 + 736589800*k + 24429690000 = 0. Calculate k.\nAnswer: -9, 25, 2084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3164, -3029, -2894, -2759, -2624, -2489?\nAnswer: -2354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*v**4 + 0*v**4 - 4*v**2 + 2*v**4 + 2 - 3*v**4 as o*v**3 + h*v**4 + x + j*v + g*v**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/3 - 2\/9*f**5 + 2\/3*f**4 + 4\/9*f**3 - 2\/9*f - 4\/3*f**2 = 0. What is f?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (268872\/(-238))\/((-54)\/196) + 16\/(-36). What is the highest common factor of 250 and d?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 715*s - 28 = 722*s. Put -5, -657, 0, s in decreasing order.\nAnswer: 0, s, -5, -657","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -2. Let o = -13 - -18. Let j = o + d. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 10 + 10 + 564*v - 40 in the form o + w*v and give o.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47 + 163. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -283\/10 - -289\/10. Factor -2\/5*f + f**2 + s*f**3 + 0.\nAnswer: f*(f + 2)*(3*f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*j**2 + 2*j - 32*j**2 + 0 + 2 + 16*j**2 to the form i*j + g + n*j**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 52\/105 + 4\/(-10). Let b(r) = -11*r + 1. Let o(n) = -17*n + 2. Let x(z) = 8*b(z) - 5*o(z). Let f be x(-1). Which is smaller: f or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.01 and 2493967918121.\nAnswer: 2493967918121.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-5)*(6\/(-4) + 2). Suppose 0*w - 16 = -4*w. Let f be w\/(-6)*6\/14. Which is the third smallest value? (a) s (b) -8 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 25\/2*f**4 - 18 + 0*f**2 - 1\/3*f**3 + 12*f. Find the third derivative of v(m) wrt m.\nAnswer: 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 971 greater than 971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 141510*s**2 - 8660432*s + 1224.\nAnswer: 2*(5*s - 306)*(14151*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = a - 13, -2*b = 2*b + 3*a + 11. Let c be ((-3)\/b)\/(13\/65). Differentiate -11*v**4 + 12 - 29*v**c + 59*v**3 - 30*v**3 wrt v.\nAnswer: -44*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -7*y**2 + 2*y - 1. Calculate the remainder when g(-2) is divided by (24\/15)\/((-2)\/(-20)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.10561, -63\/5 in decreasing order.\nAnswer: 0.5, 0.10561, -63\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 123\/(-6) + 20 + (-9)\/2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 3 (b) 1\/2 (c) 0.2 (d) 42\/76507\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3193*d**3 - 4*d + 4*d - 3190*d**3 - 18.\nAnswer: 3*d**3 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36 - -11 - -70) + -31 + -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 232 + -3 + (2 - 1). Let b be (0 - (0 + a))\/(-1). Round b to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -98731140 divided by -4\nAnswer: 24682785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2*2\/(-20)). Let h = -2 - m. Let x(l) = l**3 + 7*l**2 + 7*l + 8. Let d be x(-6). Solve d*g + h = -1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*a**4 + 17*a**4 - 35*a**4 + 4*a**3.\nAnswer: -4*a**3*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -401*y**7\/210 - y**6\/60 + y**5\/60 - y**4\/6 + 9*y**3 - 2754*y**2. Find the second derivative of o(j) wrt j.\nAnswer: -4812*j**2 - 12*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 843b2b (base 12) in base 13?\nAnswer: 57ac10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - 6*p**2 + 8*p**2 + 1)*((-2 - 2 + 2)*(-5 + 4 - 1) + 2 + 3 - 4 + 1 + 0 + 1).\nAnswer: 21*p**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 146 + -141. Suppose d*m - 9*m + 4*o = -620, -5*m + 4*o + 773 = 0. Is 15 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 270203\/17 or 15894?\nAnswer: 270203\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, i: 1, f: 2, g: 5, d: 2, l: 1}. What is prob of picking 2 l and 2 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27602196*z + 12709515 wrt z?\nAnswer: -27602196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19079770.\nAnswer: 2, 5, 1123, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*w**2 + 76*w**2 + 93*w**2 - 45 - 21*w**3 - 123*w - 293*w**2.\nAnswer: -3*(w + 1)*(w + 3)*(7*w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -11, 2\/7, 3559\/3, 0.01?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pbb when three letters picked without replacement from bbppababbbpbpaa?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + p**2 - 2. Let k be r(3). Let z = -15 - k. Let f = 38 - 27. Solve -z*l - 1 = -f for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12560*g**3 + 14 - 6276*g**3 - 6296*g**3 to the form j*g**3 + v + b*g**2 + i*g and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -70.6 + 84. Let u = d - 0.4. Let k = -12.76 + u. Round k to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266025 is divided by 134.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 566\/72 - ((-612)\/(-81))\/68 and 39\/3346?\nAnswer: 6692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33197?\nAnswer: 89, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*z**3 - 3*z**3 + 4*z**3 + (4*z - 4*z - 2*z**2)*(5*z - 9*z - 17*z) - 2*z**3 + 2*z**3 + 4*z**3 to a*z**3 + r + m*z + j*z**2 and give a.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 6*k = 3*k + 8, 5*k + 5 = 2*i. Suppose i*o = 6*o + 4*o. Suppose o = 2*p - 12 - 0. Calculate the highest common divisor of 42 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*v + 3*s, v - 1 - 4 = -4*s. Let w be (-8)\/(-28) + 40\/7. Let y = w + -11. What is the biggest value in 3, v, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398965307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(1\/2)\/t*t*t)**(-25)\/(t\/(t**1*t*t)*t)**25*(t\/t**(-6)*t*t\/(t*t*t*t**(-2\/5)*t))\/(t**(2\/27)\/(t\/(t*t**(-1\/2)\/t*t))) assuming t is positive.\nAnswer: t**(-4276\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/4 + (-142)\/(-4). Let a = u - 26. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2. Let j(t) = t**3 - 9*t**2 - 3*t + 6. Let d(w) = 5*b(w) + j(w). Suppose -5*u + 20 + 0 = 0. Give d(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 131204 + -72?\nAnswer: 131132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.70073 nanograms in tonnes?\nAnswer: 0.00000000000005070073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15109 is divided by 5031?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 29057 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 3. Suppose -3*r = -8 + 2. Suppose 0 = -5*t + 2*v - l + 1, 2*v = 2*t + r. Solve 4*a + 0*a = t for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 174210, 348383, 522554, 696723, 870890, 1045055?\n\"Answer: -x**2 + 174176*x + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-2 - 24\/(-10)). Let r(w) = 5*w + 1. Let v be r(6). Let x = v + s. Calculate the greatest common divisor of x and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -8\/7 (b) -4 (c) 1 (d) -9\/6955 (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/12 + 1)\/((-9027)\/(-476) + -19)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*o = 40*o + g - 23, 5*o - g - 32 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -143, -92, -7, 112, 265?\nAnswer: 452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-74)\/259 - (-556)\/182. Are 2 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/2)\/(11\/(-88)). Let s(b) = b**3 - 7*b**2 - 11*b + 11. What is s(j)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-1 - 1 - 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 82921\nAnswer: 165842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95 and 436012?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*d**5*x**2 + d**2*x**3 - 3*d*x**3 + 54*d*x**2 wrt d.\nAnswer: -620*d**3*x**2 + 2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.2368406 to two dps.\nAnswer: -3.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(-3)\/2 + 0. Solve -11 = -5*s + 2*i, i + f = 2*s - 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 44*q + 1. What is the remainder when s(2) is divided by -2 + 27 + 2 + -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -6. Let y be ((-15)\/8)\/(f\/(-10)). Let n = -509\/168 + y. Which is the second smallest value? (a) 3 (b) -1\/3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/837 and -143\/720?\nAnswer: 66960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 0.4 (b) -5 (c) 1 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 0)*(h + 0*h + 6*h) in the form r*h + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8175 + (-1 - (-3)\/3). Suppose -5*p = -2*p - 3*n + 9531, -2*n = 3*p + 9521. Let o = m + p. Round o to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18*3\/27*3. Let p be (5 - h)*0\/(-1). Suppose 2*a = 4*a + 2*i - 100, 4*a - 2*i - 182 = p. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*w - 16632*w - 365 - 367 + 732.\nAnswer: -16375*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 9 - 34 = -4*f, -2*f + 30 = -4*n. Suppose -3*y + 42 = 5*o - 0*o, 13 = 2*o + f*y. Suppose -4*m + o*m = 0. Solve -4*l + 1 - 9 = m for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*r = 91*r - 75. Let y(o) = 14 - r*o**2 - 11*o**2 - 4 - 4 - 5. Calculate y(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*v - 102 + 239 - 19 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -1\/15*h**6 + 1\/21*h**7 + 0 + 1\/30*h**5 + 93*h**2 + 0*h**4 + 0*h**3 + 0*h - 1\/84*h**8. Suppose y(i) = 0. What is i?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-46)\/(-12) - (-21)\/(-7). Let u = f + -3\/2. Let g = -3\/40 - -89\/120. What is the second biggest value in g, u, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 2*m**2 - 4*m - 1. Let w be l(-3). Let y be 1 - (0 + w\/(-2)). What is the units digit of ((-5)\/(-3))\/(y\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m - 4*m + 12*m + 4*m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 18, 30, 60, 114, 198?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**4 - 40230*n**3 + 1683780*n**2 - 23545480*n + 109814880.\nAnswer: 5*(n - 8004)*(n - 14)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 58014\/16701*(-19)\/(-2)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 113 + -114 + (-1 - 6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1085.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210 + -101022000212100?\nAnswer: -101022000211120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1.01, 1\/276, -0.3, 0, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 897787 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m + 4. Suppose 6*o = -93 - 51. Let x = o - -27. Let d(j) = 7*j - 7. Determine x*d(y) + 5*c(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**3 - 2*t**2 + 2*t**2 + 90*t.\nAnswer: -2*t**3 + 90*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1369639782.\nAnswer: 2, 3, 7, 17, 29, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 0, -21, -1\/4, 25, 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34438000 rounded to the nearest one hundred thousand?\nAnswer: 34400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08453639 to 3 decimal places.\nAnswer: 0.085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 8*i**2 - 4*i + 6. Let f be k(9). Let x = f - 9. Suppose -3*t = -6*t + x. What is the remainder when 26 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(12\/15)*10\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11201 - -11?\nAnswer: -11120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -25 - -e8?\nAnswer: c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -3, 4, 31.\nAnswer: -3, 1\/2, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 96 = l, -7 + 63 = 3*f - l. Suppose 0*m + 2*m = -f. Let n be 2*2*5\/m. Put -5, -3, n in descending order.\nAnswer: n, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-210)\/(-30) + 2004\/(-288))*-4)\/(0 + 1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -159, 0.2 in descending order.\nAnswer: 0.2, -2\/13, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 24*k - 1. Let l be s(2). Find the third derivative of 0*q**3 + 0*q**3 + 48*q**4 - l*q**4 + 3*q**2 wrt q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 2\/180023951?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1167 - ((-8 - -4) + 0). Suppose -4*y = 3*y. Suppose -k = -y*r - r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-65))\/(1232\/1540).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-329)\/(-35) - (-6)\/(-15). Suppose 6*o - 9*o + k = 0. Solve -2*n - 11 = 3*s, 3*s - 17 = o*n + 8*s for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -1. Let y(g) = 3*g - 5. What is 3*u(d) + y(d)?\nAnswer: 3*d - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.427 + -0.073. Which is the nearest to 1? (a) 0.3 (b) 5.6 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -4. Let s = 467 - 465. What is the second smallest value in 1, k, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 879.\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a kilometer in meters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -247*c**5 + 9*c**2 - 37 wrt c.\nAnswer: -14820*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-1*sqrt(240))\/(sqrt(27)\/(2*sqrt(9)) - -2*sqrt(27)))**2*4.\nAnswer: 1280\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.62401923 rounded to four dps?\nAnswer: -0.624","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (47 + -3)*2\/8. Let d(c) = -c + 13. Let o be d(a). Put o, -3, 4 in decreasing order.\nAnswer: 4, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.8126509nm?\nAnswer: 0.0000000008126509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -713\/429 + -2360\/1287. Let c = u + 44\/13. Let t = -6 + 6.1. What is the closest to 0 in c, t, -0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*j + 62*j - 15*j - 108 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*a**2 - 38*a**2 + 17*a**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 4*v - 18, 7*v - 3*v = 8. Round o to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*15\/10)\/(263\/(-7890)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 4.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 419 - 390.5. Let x = -30.5 + v. Which is greater: x or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7944997 - 64?\nAnswer: -7945061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2 + 589*y - 7435. Let g(v) = 2*v - 6. Let x be g(5). Suppose x*p = 95 - 27. Calculate the remainder when s(12) is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3419.38 * -44.\nAnswer: 150452.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*l + 16 = 5*f, 3*f = -4*l + 8. Suppose f*j - 23 = -3*y, -2*y = -j + 4*j - 17. Suppose 179 = 421*c - 241 - 422. Put c, 0, y in decreasing order.\nAnswer: c, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/425628 and 71\/162?\nAnswer: 1276884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 501616.2 kilometers?\nAnswer: 501616200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -387 and -380 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 j, 1 y, and 1 a when four letters picked without replacement from ddjynea?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15554142.\nAnswer: 2, 3, 864119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1881710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (95\/(-20))\/((-7)\/168).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1181336, 1181341, 1181346, 1181351, 1181356?\n\"Answer: 5*x + 1181331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*f + 24*f - 908 + 208 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2*-14*(-4)\/16 - -3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61594477 is divided by 6211.\nAnswer: 6201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4\/15 + 28\/45. Let q(n) = -6*n - 46. Let j be q(-8). Determine r, given that k*r - 2\/3 - 2\/9*r**j = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32561861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-12)\/z*z*z**9)\/(z**12*(z\/(z\/z**3))\/z))**(-18) assuming z is positive.\nAnswer: z**306","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*3\/(36\/(-632)). Let w = -156 - c. Solve 0 = -4*j + w - 18 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 182 - 154. Let t = 28 - j. Which is the second biggest value? (a) t (b) -0.2 (c) 0.28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -6*r**2 - 2*r - 87. Let p be j(-18). What is p rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 9*z + 4*z - 20 = 0, 5*v = -4*z + 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 12:42 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2243, 6864, 13831, 23144, 34803?\n\"Answer: 1173*c**2 + 1102*c - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3686 - -3.2927?\nAnswer: 3689.2927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**2. Suppose -y - 5*v - 19 = 0, 4*y = -3*v - 23 - 19. Let w(s) = -s**3 - 9*s**2 + s + 13. Let j be w(y). Let a(k) = -4*k - k + j*k. Give a(f(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*v + 2 = 0, -27 + 55 = 2*o - 2*v. Calculate the greatest common divisor of 18288 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) -22 (c) 9 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/2 + 48203*i + 2323529209\/2.\nAnswer: (i + 48203)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 - 17111619870785?\nAnswer: -17111619870785.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 7 - 681. Let d(a) = 674*a - z*a + 7*a**2. Let q(k) = k**2. Give d(q(g)).\nAnswer: 7*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4462733 (base 8) in base 16?\nAnswer: 1265db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -784423 - -5?\nAnswer: -784418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-133)\/21 + -280 + 282.\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -41 - 423346?\nAnswer: -423420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4797634.5 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**3 + 21*w**2 - 26*w - 13. Let i be p(9). What is the third smallest value in i, -2, -1.8?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from {f: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -138*x**5\/5 + x**4\/4 - 288*x - 8. Find the first derivative of g(c) wrt c.\nAnswer: -552*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -267 - -265. Let l(y) = 4*y**2. Let v(a) = -a**2. Let i(h) = u*l(h) - 3*v(h). Let f(k) = 9*k. What is i(f(s))?\nAnswer: -405*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 1067*z - 1039. Let l(q) = -530*q + 519. Let n(g) = 7*l(g) + 4*o(g). What is the derivative of n(h) wrt h?\nAnswer: 558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -110\/7 + 16. Let l = -107\/809 - 2487\/5663. What is the nearest to 0.9 in l, -2, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 145058, 1160736, 3917580, 9286172, 18137094?\n\"Answer: 145097*v**3 + v**2 - 4*v - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = -0*a + 3*a. Does 20 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**0)**2*((d*d\/(d\/d**(-2\/3)))\/d)**(1\/11) assuming d is positive.\nAnswer: d**(64\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8*1\/35 + 9\/(-21). Sort -3\/5, 0.3, -6, m in descending order.\nAnswer: 0.3, m, -3\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - l - 1)*(25 - 51 + 12 + 2*l).\nAnswer: -2*l**2 + 14*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10297849*m - 10548243?\nAnswer: -10297849","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 3*o - 4, -2*o - 4 = 2*j - 28. Let h = 61 + -41. Suppose 5*z + 32 = 2*r, -2*r = 2*r + z - h. Calculate the least common multiple of j and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2147119*q**3*v - q**2 - 356877866*v wrt q.\nAnswer: -12882714*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n + 68*n + 0*n**3 - 6*n - 62 - 4*n**3.\nAnswer: -4*n**3 + 63*n - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-16))\/((-93)\/(-558))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 4*z. Let o be h(-5). Let l = -13.21 + 13.31. Sort -0.4, l, o, -2\/7 in decreasing order.\nAnswer: l, -2\/7, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: 1.398087+7\nAnswer: 8.398087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2. Let h(w) = 5*w**2 - 3*w. Let z(t) be the third derivative of 3*t**5\/20 - 5*t**4\/24 - 4*t**2. Let l(x) = -5*h(x) + 3*z(x). Determine l(c(y)).\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 258?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 o when two letters picked without replacement from {b: 3, u: 2, d: 3, n: 1, o: 9, m: 2}.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 9:13 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -4, -213 in decreasing order.\nAnswer: -4, -7, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/(-30))\/((-80)\/100). Which is the third smallest value? (a) 1\/2 (b) 3 (c) w (d) 6\/7 (e) 22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(((-8)\/66)\/4). Let o = y - 24. Let a(q) = q**2 - 9*q - 3. Let c be a(o). Let k(z) = -z**3 - 2*z**2 - z - 4. Give k(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5853\/32 less than -182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 12 = -3*c - 4, -3*o = c + 7. Let r = -3.4 - -0.4. Is r at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(363)*-2 + 2)**2 + sqrt(363) + -2 - ((-3*sqrt(363)*-1)**2 - (2 + 1 + sqrt(363))**2)).\nAnswer: -1438 - 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-20) + 1)*(-2)\/(-3).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -13*y - 17. Let z(h) = -20*h - 26. Let m(k) = 8*q(k) - 5*z(k). Let t(p) = -p - 1. Let w be t(4). Is 7 a factor of m(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 59*p + 91. Let i be f(20). What is the highest common factor of 52 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 74*j**2 + 5*j - 5. Let c(f) = -222*f**2 - 16*f + 16. What is -5*c(l) - 16*d(l)?\nAnswer: -74*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 693219 is divided by 1328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 154*j**4 - 9*j**3 + 9*j**2 + 12215. Let q(m) = -78*m**4 + 4*m**3 - 5*m**2 - 6111. Let h(y) = -7*q(y) - 4*x(y). Differentiate h(o) wrt o.\nAnswer: -280*o**3 + 24*o**2 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29 and 13650764?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {l: 1, x: 1, z: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (20\/6)\/(4\/3 + 132\/(-198)). Solve -d + 2*t - 10 = 0, f*d - t + 35 = 4*t for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -bd1d (base 15) to base 6\nAnswer: -505314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x - 2*x + 0*x. Let v(p) = 4*p**2 - 3*p + 3. Let b(c) = -46*c**2 + 34*c - 34. Let f(g) = 6*b(g) + 68*v(g). Calculate n(f(z)).\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 5. Let b(j) = 2*j**2 + 2*j**r - 3*j**2 + 0 - 4. Let w be b(-3). Solve -n = 5*k - 5, -3*n = -w*k - 7 + 32 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**12\/(o\/((o*o**(-3\/2)*o)\/o)))\/(o*o\/((o**(-1)\/o)\/o)*o*o)**(-1\/27) assuming o is positive.\nAnswer: o**(581\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24304? (a) 1 (b) -19 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pyk when three letters picked without replacement from pykpppktpykyk.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2 = -0*z. Let r(p) = -p + 1. Let c be r(z). What is the third derivative of 5 + u**3 - 5 - c*u**2 wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -93763705*t + 37524108 with respect to t.\nAnswer: -93763705","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-86)\/(-18) - (-6)\/27. Let a(g) = 13*g - 4. Let w = 5 - -16. What is the remainder when a(z) is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - s + 72. Let c be 2\/(-8) + 3\/12. Suppose c = -5*p - f + 17, -2*p = 2*p + 2*f - 10. Calculate the highest common divisor of p and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of d**2\/2 + 9*d - 3. Suppose -3*q - 29 + 2 = 0. Let k be x(q). Which is bigger: k or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4075 + 26?\nAnswer: 409b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1958623 by -3.\nAnswer: 1958623\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/3)\/(y\/(y**(-4)*y))*y\/(y**5\/y)*(y\/y**0)\/y assuming y is positive.\nAnswer: y**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 6:37 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -37, -14, 11, 38?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-168)\/8 + 8 + 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34785 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15 and 5289369.\nAnswer: 5289354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10759473 is divided by 354?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*b + 251 = 92*b - 454 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -21.62 (b) 7 (c) 57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 312\/5 - 63. Let w = -0.7 - 0.1. Let u = w - 0.2. Which is the biggest value? (a) y (b) u (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9133910 divided by -1583.\nAnswer: 5770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 4\/3*s**3 - 5\/36*s**4 + 152*s**2 + 0 + 1\/180*s**5 + 0*s. Factor x(f).\nAnswer: (f - 6)*(f - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by -973?\nAnswer: 17\/973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 26*y**2 - 61*y - 135. Let c be z(-28). Solve c*u = -4*w + 6*u - 25, -w - 20 = -3*u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 4*t, 3*v + 0*v - 5*t = 40. Solve -3*n = 2*j + 15, 0 = v*j - 0*j for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of g**8\/336 - 11*g**6\/360 + g**3 - 10. Let d(s) be the third derivative of u(s). Find the third derivative of d(l) wrt l.\nAnswer: 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 - 53*i + 432. Calculate the remainder when s(31) is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4941873 is divided by 81?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b + 48. Let n be s(22). Suppose 0 = -2*m - 3*w - 13, 2*m + n = -5*w - 19. Let o be -1*(-6)\/(m + 0). Solve o*q + 9 = 9*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10102.\nAnswer: 2, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22822\/89 - -4113085\/534. Let p = -7980 + d. Find the common denominator of p and (28\/30)\/(12\/9).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 169\/91*21\/3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 822 = -25*l + 1022 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (316\/(-1580))\/((-12)\/3). Let w(z) be the second derivative of -3\/2*z**3 + 0 - 2*z**2 - 18*z - h*z**5 + 11\/12*z**4. Determine w(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 6*f**3 - 4*f + 1. Let c(j) = -31*j**3 + 21*j - 6. What is -2*c(s) - 11*x(s)?\nAnswer: -4*s**3 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4*(sqrt(60)\/sqrt(3) + sqrt(45) + -1) + 3)**2.\nAnswer: -1400*sqrt(5) + 10245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 28, -6 in descending order.\nAnswer: 28, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 364 and 168.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 474?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 9 = -5*h, 0 = 2*a + 2*a + 2*h - 10. Let k(q) = 0*q**2 + 2*q**3 + 2*q**a - 1 + 2. Suppose -8*w + 2*w - 12 = 0. What is k(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 0*z + 2*z + 4*z + 26 + 18. What are the prime factors of t(7)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 9. Let t be l(-19). What is the units digit of ((-36)\/30)\/3 + 624\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1))**(-11))**(3\/17)*(v\/(v*v**1*v))\/v**(-2\/11)*v**(-2\/7)\/v**(1\/4) assuming v is positive.\nAnswer: v**(-2161\/5236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c - 4. Let u(i) = -i**2 - 20*i - 102. Let k be u(-11). What is w(k)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 58, 27, -2, -1 in decreasing order.\nAnswer: 58, 27, 11, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from haanadn. What is prob of sequence da?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, o: 2, c: 1}. Give prob of picking 1 c, 1 q, and 1 o.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -113 times 17.7\nAnswer: -2000.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35040 and 1960.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4132*g**2 + 18*g - 284. Let p be t(22). What is p rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 23 = z, 2*z + 2*h - h = 1. Let o be (-20 - z)*6\/(-9). Let v be 2 + 0 + (-28)\/(-1). What is the highest common divisor of o and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 25*o**3 - 6*o**3 - 1 to the form s*o**3 + t*o + i + z*o**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -977 and 37.1.\nAnswer: -36246.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5091 - 268*c + 5091 + 268*c + 490*c**3.\nAnswer: 490*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, r: 1, b: 1, g: 1, v: 1}. Give prob of sequence rv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) - ((sqrt(143) - -2*sqrt(143))*-6 - sqrt(143))) + (1*sqrt(143) - sqrt(143))*-4)\/(sqrt(110)\/(sqrt(100)\/sqrt(250) - sqrt(10))).\nAnswer: -16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 50889593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*f + 100*f + 18*f**2 - 50*f as r*f**2 + x*f + s and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000060628 to six decimal places.\nAnswer: -0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1207\/1988 - ((-23)\/(-60) - (-34)\/(-255))\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-120))\/(8\/(-12)*(-6)\/(-40))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/11 - 7*z\/11 - 6\/11.\nAnswer: (z - 3)*(z + 1)*(z + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m + 219 + 2171 + 96 = 0. Solve -27*j + 49 = -m for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.4928 rounded to 1 decimal place?\nAnswer: -22.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 - (-4 - (8 - 4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 2:47 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/h**3*(h*h\/h**(-16))\/h assuming h is positive.\nAnswer: h**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15\/28 - -1\/4. Let l = -5.7 - -0.7. What is the second smallest value in -2\/13, l, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6145 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 403?\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -22*u + 37. Let l(k) = -125*k**2. Calculate w(l(g)).\nAnswer: 2750*g**2 + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13265?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 745174.6 microseconds?\nAnswer: 745174600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckkcckccccckckcc. What is prob of sequence ck?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-4))\/((-27)\/(-18)). Let c = -16 + 16.5. Sort -5, c, u in ascending order.\nAnswer: -5, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 8 = -6*p. Solve -6 = p*l - 22 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 194118 divided by -6\nAnswer: -32353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19128 + -149149.\nAnswer: -130021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2. Let a(l) = -6*l**2 - 40*l. Suppose -3*c - 13*c - 22 = -6. Give c*a(w) + 5*u(w).\nAnswer: w**2 + 40*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -23. Suppose -11 - h = -4*z. Let g = -10 + z. Let f(q) = 2*q**3 - 5*q**2 + 5*q + 5. Let u(y) = -2*y**3 + 4*y**2 - 4*y - 4. Give g*f(b) - 5*u(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 16.09.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 660700 is divided by 81298.\nAnswer: 10316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*(u*u\/u**(-11))\/u*u*u**10 assuming u is positive.\nAnswer: u**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 80421 + 12?\nAnswer: 80433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 - 55. Is (45\/(-3))\/w - -21 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -71, -857 in decreasing order.\nAnswer: -3, -71, -857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 114340257.47582 less than -3?\nAnswer: -114340260.47582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 + f - 4)*((1 - 2 + 0)*(40 - 48 - 45) + 18 + 4 - 11) in the form b*f + t and give b.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11326182 and 1479?\nAnswer: 1479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 7 + 4 + 3*d)*(78 + d**2 - 78) - 3 + d**3 + 3.\nAnswer: 4*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6 and -0.0578885421.\nAnswer: -6.0578885421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*z = -310695 + 310338 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -23236101 (base 7) to base 5\nAnswer: -1010333313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/9 - (5 + -3).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (155 - -28) - -283.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60*0.07.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15377 - -0.1641.\nAnswer: -15376.8359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 731\/2695273 or 1?\nAnswer: 731\/2695273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390778 is divided by 7620?\nAnswer: 2158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17181642 and 2863607.\nAnswer: 17181642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 32263057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15)\/20 - 240995\/(-20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 + 3497*s - 3497*s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 5*d**2 + 5*d - 3. Let z be o(-6). Let f = z - 2. Solve u = -f - 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -482, -1857, -4018, -6857, -10266, -14137, -18362, -22833?\n\"Answer: 18*i**3 - 501*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 10:25 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 984 divided by -82\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 6822?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*c**3 - 10612*c**2*m - 6*c**2 - 907*c*m + 2558*c wrt c.\nAnswer: 72*c - 21224*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0614313 tonnes in milligrams?\nAnswer: 61431300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/20 and -74\/255.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 13*x = -14. Let f(v) = -1 - 13*v + x*v + 7*v. Let i(w) = 2*w**2 - 4*w + 7. Determine 5*f(y) + i(y).\nAnswer: 2*y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 12:37 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -2*t - m + 232, -m + 361 = 3*t. Calculate the greatest common divisor of 11 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 24.02741 years?\nAnswer: 0.02402741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n = -3*n - 2*n - 32 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -506*o = -483*o + 161 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6202 + -6200. Let h(c) be the first derivative of 2\/13*c - 8 + 2\/13*c**b + 2\/39*c**3. Find n, given that h(n) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 102, 154, 204?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 1 = -12. Suppose p*s = 14*s + 33. Let a = s - -38. Solve -2*x + a*i = -2, 0 = i + 4*i for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*u - 25000 = -880*u for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 13*z = 45. Let p be ((-33)\/z)\/11*-9. Find t such that 2\/5*t**5 + 0 - 8\/5*t**4 + 2*t + 8\/5*t**2 - 12\/5*t**p = 0.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 1. Let x be i(1). Suppose -a + 0*a + 10 = x. What is the highest common factor of a and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 405880*r**4 + 162022 wrt r?\nAnswer: 1623520*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 297674044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2160203474?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2)\/u**(2\/27))\/((u\/(u\/(u*u*u**(-6))))\/(u*u*u*u**(-2\/17)*u*u*u*u*u)) assuming u is positive.\nAnswer: u**(4502\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 972?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -40*w - 4546. Determine b(-97).\nAnswer: -666","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -569913 and -0.21.\nAnswer: 119681.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25437?\nAnswer: 3, 61, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-13 + 14 + (8 - (-12 - -24))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a kilometer in meters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35 by -119.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*p + 8743 = 8470 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 17*h - 2. Let i(w) = 9*w - 1. Suppose -5*g - 3*m + 7*m - 50 = 0, 5*g + 45 = 3*m. Determine g*k(a) + 11*i(a).\nAnswer: -3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 - (-416)\/24)*(-9)\/(-6). What is the greatest common factor of w and 1887?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 951 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/4*61)\/(15\/30). Let i = h + 65. Which is smaller: 5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*k = -8*s + 1350, k = -5*s + 1677. Suppose y = -4*g + 192, 5*y + 4*g + s = 7*y. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 29834798, 29834794, 29834790, 29834786?\n\"Answer: -4*v + 29834802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**0*l)*l*l*l**(-1\/2)*l)**(3\/10)\/(l**(1\/28))**(1\/16) assuming l is positive.\nAnswer: l**(335\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is -7646168062 plus -365?\nAnswer: -7646168427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 145528781*j + 9586630?\nAnswer: 145528781","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 18.10209 decades?\nAnswer: 181.0209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i - 5. Let w(a) = a**2 - 96*a + 2110. Let m be w(62). Let q(s) = 6 - s - 3*s + 2*s. Calculate m*q(y) + 3*n(y).\nAnswer: 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + c + 1)*(c**2 + 0*c**2 + c**2)*(2 - 1 + 4) - 188*c**3 - 77*c**3 + 64*c**3 - c**3 - c**3 + 0*c**3 as m + j*c + h*c**2 + d*c**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 590*i**3 + 970*i**3 - 16025 + 15055 with respect to i.\nAnswer: 4680*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 592.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-4 - (4 - 0))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h - 9. Suppose 3*g + 1 + 47 = 3*o, 4*g = -4*o + 48. What is the remainder when 33 is divided by n(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3715 or -3901?\nAnswer: -3715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 - 7311833160573?\nAnswer: -7311833160378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -111, -193, -275, -357, -439?\nAnswer: -521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 168806968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3391, -4912, -4489, -2122, 2189?\n\"Answer: 972*r**2 - 4437*r + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1795016.\nAnswer: 2, 59, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22402658 is divided by 5600663.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b + 30. Let u(k) = k - 5. Let s(m) = 7*u(m) + y(m). Let g = 46 + -44. Let j(p) = -6*p + 4. What is g*s(t) + 3*j(t)?\nAnswer: -6*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 2*y - 12. List the prime factors of a(-7).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -7. Let i = -0.3 + 0.1. Is i >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 2:36 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 23. What is the smallest value in x, -10, 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/12)\/((-2)\/(-104)). Suppose 3*u - k = u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 3*l**2 - 2*l - 3. Let d be y(-3). Suppose -d*a + 11 = -19. Suppose -15 = -4*p + 5*j, 5*p = 3*j + a - 1. Solve p = -v - 1 - 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -27, -40, -1.\nAnswer: -40, -27, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 22\/8 + (-15260)\/(-560)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4149 is divided by 3540.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*((-1)\/(-3))\/(5\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*w = -100, 0*o - o = 5*w - 65. Which is greater: o or 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 70868 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 51*b**2 + 17*b**3 - 44*b**2 - 17*b**3 + 30*b**3 + 4 in the form m*b**2 + t*b + j + l*b**3 and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4633\/91 + -407\/7. Which is smaller: -6 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 - 5*l + 2. Let r = -7 + 11. Let g = -129 - -137. Calculate the remainder when h(r) is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/75*6)\/(32\/(-100))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 + 0*n**2 - n**2. Let r = -23 - -25. Let b(x) = -59*x**2 + 31*x**2 + 16*x**r. Give -2*b(l) - 22*d(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times 192203\nAnswer: 11532.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 13. Suppose -21178 = -z*v - 4198. Round v to the nearest 100.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18668 and 47160.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 75691.13?\nAnswer: 75694.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 977 + -670. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 129? (a) -0.4 (b) 2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -422*w - 2887*w**3 + 138*w - 2894*w**3 + 5779*w**3.\nAnswer: -2*w**3 - 284*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -3 (c) -706407.28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7279 = 4*q + 5*p, 0 = 4*q - 8*q - p + 7267. Suppose -q + 616 = -8*i. What is the units digit of (-2)\/7 - i\/63*-69?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 663063202 a multiple of 5882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -76 divided by -19\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 100111001010101001 (base 2) in base 3?\nAnswer: 22011001200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 + (-15)\/(-108)*2 and (-116)\/(-6)*(-45)\/(-20)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaeeea. Give prob of picking 2 a.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34324 + -34322. Which is the closest to 20? (a) d (b) -1 (c) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-one halves of a century?\nAnswer: 24600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7)\/(-2) + -2)\/((-9)\/(-18)). Does 19 divide (-96)\/(t - (6 - 2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/6*1*18\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 3:39 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**3 - 5*i**2 + 3*i. Let o = -3229 - -3300. What is the remainder when o is divided by c(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 6*t**2 - 8*t. Is m(-7) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 4) + (-4 - 1 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 214\/427 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/f**(-1\/2))*f)**(-36)*(f\/((f**(-6)*f)\/f))\/f**(-6\/17) assuming f is positive.\nAnswer: f**(-793\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 200358642618 and 0.2.\nAnswer: 200358642618.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o**2 + 12*o + 3. Calculate c(9).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.012 + 14.058. Let y = -18 + v. Let z = -0.14 - -3.14. What is the third biggest value in -1\/2, y, z?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 59, 78, 101, 128?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -368056*k - 69194527. What is l(-188)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*((-3)\/(-6))\/1. Suppose -3*h + 4*h - 50 = a. Let j = -45 + h. Solve j - 2 = -w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d - 3. Suppose -2*f + 4 = -2*h, -3*f + 10 = -4*h + 2*f. Let r(m) = m**2 - m - 7. Let p be r(h). Let y = 11 + p. Determine c(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2562032, -5124049, -7686066, -10248083, -12810100, -15372117?\n\"Answer: -2562017*s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 18 = 5*r, -9159 = 4*r + 5*f - 9147 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - o + 121 = 0, 0*f = -f - 5*o + 16. Suppose 5*p = -4*j + 16, -6 = -4*p + 10. What is the remainder when f is divided by 0 + -2 - (-17 + j)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -2*w - 11*w. List the prime factors of ((-5)\/(-2))\/w + (-370)\/(-20).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -9*o + 1040. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j. Let w(o) = -9*o. Give 42*k(f) + 4*w(f).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (259\/(-74) - 16\/4)\/((-2)\/4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k + 2*k - k + 1 + 2*k - 1 + (1 + 1 + 0)*(0*k + 3*k - 2*k) - 1 + 1 + k - 10*k + 3*k - 5*k + 13 + 13*k + 15*k - 26*k.\nAnswer: -3*k + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 5*v**2 + 5*v - 1. Let m be h(4). Let b be ((-1204)\/12)\/(m\/(-9)). What is the highest common divisor of b and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5838, -11805, -17778, -23757, -29742?\nAnswer: -35733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 4 = -2*g, -2*v - 10 = -4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.368422 to 3 decimal places.\nAnswer: 1.368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42089 = 7549*b - 18303 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40 - -6 - 2) + -20 + 35 + -13.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/94665 and -36\/5.\nAnswer: 94665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3aa3 (base 15) in base 10?\nAnswer: 12528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1448)\/(-32) - (-143)\/52. What is the greatest common divisor of 132 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.302 in -43\/4, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10aad - -7?\nAnswer: -10aa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + l**2 - 3*l**2)*(2*l - 3*l + 0*l).\nAnswer: 2*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-5 + (0 - (4 + -6)) + (-2 - -9))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -105, -115, -125, -135?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-33240)\/(-6094)*(-11)\/(-2)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/6 + 4\/3. Let y(x) = 2*x**2 + 1 - 2*x**2 - 2*x + 9*x**3 - 8*x**3. What is the units digit of y(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 135 = -3*j + 69, -2*j + 510 = 5*z. List the prime factors of z.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 543*u**6 + 39*u**2 + 9 wrt u?\nAnswer: 65160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10321 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/(-35) - 152\/(-28). What is the greatest common divisor of i and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*h + 14 = 134*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 2\/12487199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105154 and 31598.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3)\/(v*v**22\/v))**(-3\/10) assuming v is positive.\nAnswer: v**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 - -7)\/(2\/6). Let i = -25 - -39. Let d = -4 + i. Solve 5*m = d, -z = m + x*m - 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 458*a. Let q(z) = z**2. Determine q(y(v)).\nAnswer: 209764*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4*-4 - 0. Find the third derivative of 7*w**3 - d - 6*w**2 + 2 wrt w.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -73547681*s + 15033614 wrt s?\nAnswer: -73547681","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12011220320 + 10?\nAnswer: -12011220310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 261.8 - 260.8. What is the third biggest value in -0.1, -3, x, 13, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-84)\/(-882) + 13\/84. Put v, -2, -28 in decreasing order.\nAnswer: v, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 10*r**2 - 9*r - 12. Let a be y(-8). Let p(t) = 700 - a + t. Let k(d) = 0*d - 10 - 25 + 16 + 2*d. What is p(k(h))?\nAnswer: 2*h - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4380 + -4357. Solve c*b = 7*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 689 by -13.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -105 + -5?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 5*t + 6. Let l be i(-4). Let j be ((-2)\/(-72))\/(l\/(-723116)). Let a = -10049 - j. Calculate the common denominator of a and 21\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 - 115*g**2 - 635*g - 525.\nAnswer: -5*(g + 1)*(g + 7)*(g + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 0.3 (c) 9\/7 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g**3\/3 + 7*g**2\/2 - 13*g. Let o(z) = -z + 4. What is -4*a(y) + 7*o(y)?\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zcbccbddzzcv. Give prob of sequence bz.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*j**3*o**2 - 1472690*j**3*o - 87*j**3 - 2*j*o**2 + 91936*o**2 wrt o.\nAnswer: -58*j**3 - 4*j + 183872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 20 = -4*y. Suppose 5*t + 14 = -c - 7, -t - 25 = -5*c. Sort 3, y, c in ascending order.\nAnswer: y, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11334*o**2 + 104*o**3 - 338*o**3 - 11328*o**2.\nAnswer: -234*o**3 + 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 107220 to the power of 1\/2, to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**2. Let j(r) = 48940*r. Calculate q(j(m)).\nAnswer: 7185370800*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85649\/30 - 2854. Calculate the common denominator of -67\/6 and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5389 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: Suppose 42*t - 9849 = 21*t. What is the remainder when t is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 15. Let q(z) = -99*z + 0 + 2 + 100*z. Calculate q(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1408 - -1419. Solve 0 = -y*s + 5*s + 18 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 45146339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-36)\/(-10))\/(2\/15 - 0). Let n = b - 27. Suppose 5*p + 5*z + 15 = 0, 0*p + 3*z + 16 = 4*p. Solve -w - 4*x - 8 = n, 1 + p = w - x for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20895*r**3 + 27145*r**2 + 47400*r - 640 = 0. Calculate r.\nAnswer: -1, 8\/597, 16\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/405*-4)\/(105\/(-150)). Is n <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/4 + 1\/2. Let l = y - 2. Let p = 1530539\/14 + -109324. Which is greater: p or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzbm when four letters picked without replacement from zzzmlmllbnbzlzlbzzm.\nAnswer: 21\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 50 - -5?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 6*b + 24 = 3*t, -5*t = -15. Solve 3*g - b*x = 17, -3*x - 13 = -3*g + x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -42, 39, 3105 in increasing order.\nAnswer: -42, 0, 4, 39, 3105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, y: 2, t: 2, h: 5, u: 6, e: 1}. What is prob of picking 1 y and 1 e?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 35729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1577)\/7835 + (-4)\/(-20). Let c = t - -20415\/34474. Calculate the common denominator of c and 1\/2*(-399)\/(-9).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = z - 3*w, 3*z - 7*w + 2*w - 201 = 0. Let k be 3\/((-9)\/28)*(-510)\/68. Which is bigger: k or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 12:17 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-19)\/48)\/((-7)\/(-3)). Let k = -5\/16 - o. Let g = 1.754 - 1.654. What is the second biggest value in -2, k, g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6 - 5 + 10 + a. Let z be s(-10). Is (2\/(-6))\/(z\/(-45)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (34 + -29 - 111\/39) + (-10)\/65?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12512 - -3?\nAnswer: 12515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - c**2 + c - 1. Let x(f) = 7*f**3 - 9*f**2 + 8*f - 6. Let h(w) = -6*r(w) + x(w). Let m be h(3). Solve m = -n + 3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -217525 - -345725. What is t rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/5 (b) 3\/4 (c) 2.4 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2172 divided by 181\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 16*d**3 + 4*d - 297*d**3 + 280*d**3 + 6 - 4*d**2. Suppose 16 = -4*n - 0. Calculate j(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166860011 to the power of 1\/3, to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**3 - 2*o + 2*o + (11*o**2 - 11*o**2 - 6*o**3)*(1 - 4 + 1) + 2*o**3 + o - o.\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 - 18895*c - 543750.\nAnswer: -5*(c + 29)*(c + 3750)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 29, 47, 65?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -165, -158, -151, -144?\n\"Answer: 7*m - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*m = 10, -3*t + 2*m - 3 = -10. Suppose -3*k + t*k = 46. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 12. Let o(k) = k**2 + 2*k. Let w be o(u). Let t = w + 1. Solve -r - 4 = 5*x + r, -5 = t*x + r for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - a**2 + a - 1. Let r(h) = 5*h**3 + 4*h**2 - 3*h + 3. Let c(m) = r(m) + 3*y(m). Find the third derivative of c(z) wrt z.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 5*w - 45, 4*x - 24 = 3*w + 8. Factor 2\/11*c + 2\/11*c**x + 8\/11*c**4 + 8\/11*c**2 + 12\/11*c**3 + 0.\nAnswer: 2*c*(c + 1)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -233312325 (base 6) in base 11?\nAnswer: -2510975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 - 1\/3*b**2 - 7\/3*b**5 + 2\/3*b + 0 - 19\/3*b**4.\nAnswer: -b*(b + 1)**3*(7*b - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**2 + 3*i - i**3 - 6*i**4 + 3*i**4 + 0*i**4 + 0*i**2 to the form h*i**2 + w*i**4 + z*i**3 + g*i + m and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58847 and 4814.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2570846 times -4?\nAnswer: 10283384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1311989*-3.\nAnswer: 3935967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3*z = -168, -z + 87 = 2*i + 2*z. Is 22 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 10*p - 18. Give z(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -27. Suppose -t = -3*s + 29. Solve 5*l = l + s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**2 + 0*f**2 - 3*f**2. Let z(m) = -1047*m**2 + 1043*m**2 + 0 + 1 - 1. What is d(z(l))?\nAnswer: -80*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -4*t**4\/7 + 160*t**3\/7 + 164*t**2\/7 = 0.\nAnswer: -1, 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 24 - 9 = 0. Suppose -5*l + z + 50 = 0. Let f be 120\/(-18)*(-78)\/5. What is the greatest common factor of l and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18956.24721 to the nearest ten.\nAnswer: -18960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/8 (b) -7 (c) 1 (d) 0.3 (e) 0.5 (f) -28 (g) 2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 12:47 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n**2 - 63*n - 130. Let m be x(-3). Which is smaller: m or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 651, -5, -1, -31, -2 in decreasing order.\nAnswer: 651, -1, -2, -4, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-5)\/l)\/(l\/(l**(-2)*l)))\/(l**(-9)\/l*(l\/(l*l\/l**(-1\/4)))\/l*l))**(2\/45) assuming l is positive.\nAnswer: l**(13\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2523 + -1697. Suppose 3*l + 2*v = 2*l + 170, 5*l - d = -2*v. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (28 - 22) - (-10 - (12 - 5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -28 (b) -18\/17 (c) -4\/3 (d) 3 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 2)*(-3 + 3 - 2) + 0 + 2 - 1)*(3564*b - 12695*b + 5178*b + 2).\nAnswer: 11859*b - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-298)\/4*(-1 - (-2 + 3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*r - 3*r. Suppose r = 5*l + 10 - 15. Which is the second biggest value? (a) 7 (b) l (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from plbvhqqv. Give prob of picking 1 h and 1 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -612\/13, -0.07, 0.6, 45 in descending order.\nAnswer: 45, 0.6, -0.07, -612\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -762 - -775. What is the highest common factor of 949 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 28*u + 2032. Let h be b(-72). Solve -h*f = 3*f - 133 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**3\/6 + 9*s**2\/2 - 17*s. Let f be z(8). Let n(r) = -f*r**2 + 28*r - 65*r + 37*r. Let u(o) = -2*o. Give u(n(t)).\nAnswer: 34*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 0. Let v = 3 - t. Let s be (-120)\/390*((-6)\/4)\/(-3). Which is the closest to v? (a) 4 (b) s (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -14*t + 7. Calculate f(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 60\/(-16)*6\/15. Let v = 2.5 - 2. Let o = 54 + -52. Sort v, o, r.\nAnswer: r, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -21*q**2. Let h(x) = -x + 36. What is h(m(d))?\nAnswer: 21*d**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-406)\/105 - (-8)\/(-60). Does 7 divide 88\/20 + c - (-3906)\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4 + 2*z**2 - 9*z - 15*z - 4*z**3 + 24*z. Let l(p) = -6 - 9*p**3 - 3 + p**2 + 4*p**2. What is 5*h(j) - 2*l(j)?\nAnswer: -2*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 240 - 210 = 0. Suppose b - 260 = -5*g. What are the prime factors of g?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 - 29456*a + 29452.\nAnswer: 4*(a - 7363)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52910001 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 321038 and -8685046.21?\nAnswer: 9006084.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-20)\/4 + -2. Let h be 5 - i\/(-9)*-6. Solve -h*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millennium in months?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11798 and 14?\nAnswer: 82586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(6\/(-2))*6\/(-1248)*-12?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (228\/(-32))\/(20 - -68*11\/(-44))?\nAnswer: -19\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 39*t = 37*t - 8, 5*x = -2*t + 32. Calculate the remainder when 178 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53620 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -k + 16. Let g(x) = -4 + x**2 + 2 - 5*x**2 + 3*x**3 - 2*x - 6*x**3. Let q be g(-3). What is the greatest common factor of k and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a gram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 12 - 33 = 0. Find the common denominator of 31\/22 and (q*(-2)\/64)\/(78\/2860).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 390357322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-83)\/((-581)\/42)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 613378*y**2\/9 + 34962542*y\/9 - 76\/3.\nAnswer: 2*(y + 57)*(306689*y - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.76607 litres to millilitres.\nAnswer: 31766.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1765601 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 20 = -6*b. Let o(h) = -h**3 - 4*h**2 - 2*h + 1. Let p be o(b). Is (-12)\/p*-33 - 0 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 7*a + 46. Let m be i(4). Solve 4*y = 3*x - x + 2, m*y = -4*x - 24 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(468) + -2 + -3 - sqrt(468)) + -2 + 5)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r - r**2 + 2*r**2 - 2 - 2*r + 4*r. Let m(u) = -u**3 - 4*u**2 + 9*u + 15. Let p be m(-5). Calculate t(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3766830.80000055 + -3766831. Let i = -0.8 - -1. Let m = i + d. Round m to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5439*d - 124 = 5435*d. What is the remainder when d is divided by 28?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 745640*g**2*q - 2*g**2 - 9729*g*q + 93*q wrt g?\nAnswer: 1491280*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -12*i + 75. Let a(c) = 12*c - 74. Determine -4*a(u) - 3*b(u).\nAnswer: -12*u + 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (83 + -213 + 9 + -1 - 3) + (7 - -3)\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 - 22*f - 26. Let r be u(12). Which is the biggest value? (a) 5 (b) r (c) -82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24\/(-1)*15\/(-5). Suppose 0*t = -2*t + o. Is 18 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f + 0*f - 5*f)*(0 - 3 + 1)*(0 + 0 + 8*f) + 2*f**2 + f**2 + f**2 + (3*f + 2*f - 4*f)*(0*f - 3*f + 2*f) as h + a*f + i*f**2 and give i.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*c = -70, -5*i - c - 116 + 11 = 0. Let y be (-8)\/(-45) - i\/(-50). Let r be ((-616)\/(-462))\/(4\/(-3)*-1). Which is bigger: y or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/6 - (-166)\/(-6) - -4. Let k = p + 29. Find the third derivative of -22*n**6 + 58*n**5 + 57*n**5 - 115*n**k + 9*n**2 wrt n.\nAnswer: -2640*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2620.781368 rounded to 1 dp?\nAnswer: -2620.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 8\/9*w + 8\/9*w**2 + 2\/9*w**3 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v - 4*v + 3*v = 0. Suppose v*p + 10*p - 1510 = 0. Calculate the remainder when p is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 74887, 299601, 674143, 1198513, 1872711, 2696737?\n\"Answer: 74914*j**2 - 28*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a factor of 610723080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j - 3. Let p be q(6). Suppose -2943 = p*s + w - 11316, -5*s - 4*w + 13948 = 0. List the prime factors of 4\/(-6) - (1 - s\/12).\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -103*c - 11973. What is k(-116)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 9250 = 5*k - 9204, 0 = -5*u + 5*k + 10 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 4, 179\/3, -1.6, 3\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -23*q**4\/12 + q**3\/3 + 12*q**2 - 3. Let v(j) = j**2. Determine v(w(l)).\nAnswer: 2116*l**2 - 184*l + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 68*o**2 - 21*o - 86. What is the hundreds digit of z(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 336190960 and 605143728?\nAnswer: 3025718640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 30699*p**3 + 9*p**2 + 12*p - 20. Let a be o(10). Round a to the nearest 1000000.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + z = 143, -5*f - 2*z = 99 + 143. What are the prime factors of (f\/(-7))\/((-20)\/(-2730))?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47829 and 33063?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 + 6*j + 6. Let a be p(-2). Find the third derivative of 4 - 123*s**2 - a*s**4 + 131*s**2 - 4 wrt s.\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 297\/6 - (-2)\/4. Let x = -53 + 24. Let u = p + x. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133212417174 - -10\nAnswer: 133212417184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 587 is divided by ((-16)\/36)\/2 + 0 + 2679\/27.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -37. Calculate the least common multiple of r and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z = 66. Let k(l) be the second derivative of -l**3\/6 + 17*l**2\/2 + 2*l. What is the smallest common multiple of z and k(7)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (40 - 26) - (6 + -7 - 14).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide 52675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -2565*a**2\/2 - 1148*a - 1825. What is the first derivative of p(o) wrt o?\nAnswer: -2565","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 5*v - 3. Suppose -5*d = 5*z - 35, 5 = d + 4*z - 17. Let l be 1\/(-2) + 17\/d. Let u = l + -5. Calculate y(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bceyybbyyiccybsy. Give prob of picking 1 b and 2 c.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 142.71752 to 1 decimal place.\nAnswer: 142.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 671.0521 years in decades?\nAnswer: 67.10521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -86\/15 and (3\/270*16)\/((-2)\/20).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2239111?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*o*r**3*v + 3*o*r**2*v + o*r*v + 6*o - 234*r**3*v - 29*r wrt r.\nAnswer: 36*o*v - 1404*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 12 = 3*x - 0*k, 4*x + k + 16 = 0. Let m(s) = s**2 + 4*s + 2. What are the prime factors of m(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xd when two letters picked without replacement from {x: 2, d: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -504647 (base 10) to base 8.\nAnswer: -1731507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 320*m - 22280. Give l(102).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -70, -201, -458, -883, -1518, -2405, -3586?\nAnswer: -5103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/5)\/((1\/(-5))\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 + -39. Suppose 24 = -10*v + 11*v. Suppose 2*j = -2*j + v. Solve 3*d = -j - n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 587, 1016, 1447, 1880, 2315, 2752?\nAnswer: 3191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71736 is divided by 211.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 707 + 7*b**4 + b**2 - 2*b**2 + b**4 - 2*b**3 - 738 + 3*b**4 as c*b**3 + w*b**4 + a + x*b + n*b**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3708\/66 + (-2)\/11. What is the greatest common factor of n and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**3 + 119*m**2 + 86*m + 324. Determine x(-39).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1603\/3 - 534. What is the second biggest value in 0.1, w, 0.3, -3.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1200132 + 21?\nAnswer: -1200111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*z**3 + 2530*z - 2530*z + 12*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6323950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 11:01 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(3\/((-3)\/(-1))). Let z(n) = -n. Let h be z(5). Put b, -2, h in increasing order.\nAnswer: h, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**3 + l**2 - 2*l - 1. Let i be u(0). What is the third smallest value in i, -0.2, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122707919?\nAnswer: 1171, 104789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 181099*m**3*v**3 + 56*m**2*v**3 - m**2 + 35*m*v**3 wrt m.\nAnswer: 1086594*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1330341767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109554364 is divided by 525?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2\/5 + 8862*h\/5 + 26559\/5.\nAnswer: 3*(h + 3)*(h + 2951)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - ((-147)\/4)\/7)*24. Let v(g) = -g - 5. Let i be v(-5). Let o = h - i. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 0)\/(1\/2063). Let o be (13976\/(-20))\/(-1*88\/(-520)). Let f = l + o. Find the common denominator of 103\/6 and f.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7020, -9479, -13586, -19347, -26768, -35855?\n\"Answer: -x**3 - 818*x**2 + 2*x - 6203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/(-729)*36*1*(-45)\/6?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5055319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(304)*-1 + -2 - sqrt(304) - (sqrt(304) - (0 + sqrt(304) + 3)**2) - (((0 + sqrt(171))**2 - sqrt(171))*6 + 3 + sqrt(171)*1)).\nAnswer: -716 + 27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -190, -192, -204, -232, -282?\nAnswer: -360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 532, 63, -38 in decreasing order.\nAnswer: 532, 63, 1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence usk when three letters picked without replacement from {v: 1, u: 1, s: 2, k: 13}?\nAnswer: 13\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**1)**(5\/18))**(2\/9) assuming c is positive.\nAnswer: c**(10\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57042 + 57028.99552. Let q = -0.16 + 13.16. Let d = q + y. What is d rounded to four dps?\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + r)*(-r - r + r)*(-1209 + 661*r + 1209).\nAnswer: -661*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7319 is divided by 487.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 3:46 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 2:43 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/8 of a microgram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aaaaaaaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -592.739559 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nuywuwwnnw. What is prob of picking 1 u and 1 w?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*g + 118487 = 8*g. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 0.2466.\nAnswer: -3.2466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 47, 20, -9 in descending order.\nAnswer: 47, 20, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 47074 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -673b (base 16) to base 12.\nAnswer: -13363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of g**4\/2 + 5*g**2\/2 - 3. Let n(x) be the second derivative of -x**5\/20 - x**3\/3 + 3*x. Calculate 8*n(p) + 3*s(p).\nAnswer: -2*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 497 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 5:46 PM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 462.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 239326476?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19566*a*l**5 + 109904*a - 56*l**3 - 11*l wrt l?\nAnswer: 391320*a*l**3 - 336*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57505574*z**4 + 180258*z - 13?\nAnswer: -690066888*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*4\/2*(-2)\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6.4 (b) 0.2 (c) -4 (d) -22 (e) -0.04 (f) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -689.936 rounded to the nearest integer?\nAnswer: -690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/12 and 47\/12588?\nAnswer: 12588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/1148061?\nAnswer: -2\/1148061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -21*r**2 - 9*r - 87. Let h(u) = -34*u**2 - 13*u - 130. Determine -8*f(d) + 5*h(d).\nAnswer: -2*d**2 + 7*d + 46","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -8\/7, -0.4, -2\/13, -8?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 113 and 50737?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/5))**(4\/3)*w**(1\/21)*(w*w*w*w**(-13))\/w*w)**(7\/4) assuming w is positive.\nAnswer: w**(-1073\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 25*k - 63*k**2 + 122*k**2 + 9 - 49*k**2 - k**3. Determine f(12).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**5 + 43*d**4 + 10681*d**3 - 4*d**2 + 865*d + 490 wrt d?\nAnswer: 60*d**2 + 1032*d + 64086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6060 divided by -2020?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -w**3 - 9\/2*w**2 - 38 - 6*w. Find n, given that s(n) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/33? (a) 2\/15 (b) 2\/5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -105, 8687, 0 in descending order.\nAnswer: 8687, 2, 0, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6*d - 68. Suppose -9 = -4*x - 61. Calculate the lowest common multiple of b(x) and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 100000110?\nAnswer: -100000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.572 to two dps.\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f**2 - 3*f**2 + 10*f**2)*(1 - 6954*f - 5 + 6749*f) in the form g*f**2 + m + v*f**3 + t*f and give g.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.529984+-2668\nAnswer: -2667.470016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 1:35 PM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -270 and -0.1449589530139.\nAnswer: -270.1449589530139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5597 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -85ab0 - 7?\nAnswer: -85ab7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 8:24 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (98235\/28379)\/(9\/(-195))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -1. Let y(s) = 2*s**3 - 3*s**2 + s - 3. Determine -3*p(j) + y(j).\nAnswer: 2*j**3 - 3*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 u when two letters picked without replacement from uuuucuccuuuuuuucuczu.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**4\/4 + b**3\/3 + 1606. Let c(p) = -5*p**3 - 6*p**2 + 15*p - 2. Determine c(k) + 6*d(k).\nAnswer: k**3 + 15*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 15526*v**2 - v + 2. Let z(p) = 7*p. What is z(d(y))?\nAnswer: 108682*y**2 - 7*y + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-99)\/9 - (-2)\/2. Let m be (z\/15)\/(4\/(-78)). Solve 4*f - 4 + m = 5*d, -4*d = -f - 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 669*x**3\/2 + 2795*x**2\/2 + 21*x + 28. What is the first derivative of q(t) wrt t?\nAnswer: 2007","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-3 + 4)*(-308997)\/(-57)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-77)\/(-7) + (30399 - -9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6539558192.\nAnswer: 2, 37, 47, 61, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + f**2 - 3*f - 5. Determine a(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o - 6. Let h be -6 + (3 - 4) + 1. Let s be r(h). Solve 5*g + 0 - 5 = s for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1 - -10488777920?\nAnswer: 10488777916.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millisecond in microseconds?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.659 - 166.711. What is p rounded to zero dps?\nAnswer: -167","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 19 = -k, -3*k - 4 + 49 = 5*m. What is the remainder when 28 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76\/60 - (1 - 6\/18).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 97 - 46. Calculate the greatest common factor of 17 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48*p**4 + 48*p**3 + 5759*p.\nAnswer: 576*p**2 + 288*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0 + 9. Let p be (1\/3)\/((-3)\/d). Which is the biggest value? (a) p (b) 2\/25 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 9:32 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2807.987161 + -0.017161. Let h = 2787 - w. Round h to the nearest integer.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 2*j + j, -g + 4 = j. Let x(u) = 16*u + 4. Let l be x(g). Let z be 301\/21 - 4\/3. What is the highest common factor of z and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/1 + 51168)\/(44\/66)?\nAnswer: 3, 25583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3753 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 15.6. Let j = r + 0.6. Let w = j - 2.5. Which is the smallest value? (a) w (b) -1\/8 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 5*n**3 - 2*n**3 + 5*n**3 + (n**3 + 0*n**2 + 0*n**2)*(0 + 0 + 2).\nAnswer: 10*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.61254 - 75.11936. Let s = -0.0681 + w. What is s rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1345, 1328, 1285, 1204, 1073?\nAnswer: 880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3\/103 - 524\/309. Sort -0.4, 4, -4, w in ascending order.\nAnswer: -4, w, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -479457*h - 327384 wrt h?\nAnswer: -479457","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 2*o. Let b(f) be the first derivative of -f**2\/2 - 16. Let n(x) = 2*b(x) + z(x). Let l(k) = 0*k**2 - 6*k**2 + 4*k**2. Calculate l(n(j)).\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 0 - s + 2 - s. Suppose -20*y + 185*y - 7*y - 3476 = 0. Calculate the least common multiple of j(-4) and y.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.175 - 0.225. Suppose -4*t = 1 - 13. Let o be t\/8*6 - 3. What is the third biggest value in b, o, 2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 2:05 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -156, -40, -5.\nAnswer: -156, -40, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2825690174 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 1:52 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 564492 divided by 3?\nAnswer: 188164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 252?\nAnswer: -24c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/50 of a microgram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 274537 (base 8) to base 11\nAnswer: 66645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**3 - 2*j**2 + 50*j + 407. Let f be a(0). What is the greatest common factor of f and 185?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3*n = y + 26, -3*y = n + 13. Let l(f) = f**3 + 4*f**2 - 7*f - 6. Let k be l(y). Solve 0 = -2*x - k - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 7*p - 15*p + 21*p + 16*p. Let w(a) = -4*a**2. What is w(x(l))?\nAnswer: -3364*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 638, 1245, 1862, 2495, 3150, 3833, 4550, 5307?\n\"Answer: m**3 - m**2 + 603*m + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*c + 34 + 38. Suppose n = 1201 + 1309. Suppose c*w + 5*o + n = w, 1490 = -3*w + 5*o. What is w rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 27\/190710*(42\/(-9) - -5). Is 0 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 894384336 a multiple of 5717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 - 49 = -3*k - 2*g, 3*k - 5*g - 126 = 0. Suppose 8*p + k = 831. Suppose 0 = 8*c + p - 586. What are the prime factors of c?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7680)\/100)\/8 - (-11 - -1). Which is the nearest to -1? (a) -2 (b) -145 (c) -1 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-4037)\/(-1936) + (-18)\/(-96).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42195 and 48430?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exyoxxoyexoooxooo. What is prob of picking 2 y?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1672811999 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 + -2190.34112508.\nAnswer: -2183.34112508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3447 and 1377?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -312, -307, -302?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (14\/(-147))\/((-8)\/(-48)). Let o = -26 + 53\/2. Which is the nearest to -2? (a) o (b) -3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-3\/20))\/(q*q*q**(-1\/22)*q))\/((q\/(q*q**(-2\/119)*q))\/(q\/(q*q\/q**19))) assuming q is positive.\nAnswer: q**(441883\/26180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 94600 - 66251. What is the thousands digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169666 is divided by 9425?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-1*(-1 - -2)). Let f = 12 + -2. Let q = g + f. What is the smallest common multiple of q and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/9)\/a)\/a)\/a**(4\/3)*a**15*a**(-10) assuming a is positive.\nAnswer: a**(13\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007132 - 0.23?\nAnswer: -0.222868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 12. Let x be o(-5). Let c be (-7 + 0)*(-6)\/x. Solve c = -2*s - s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 15. Let o = 47 + -47. Sort i, -4\/7, o in descending order.\nAnswer: i, o, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*s + 7. Put s, -1, 59 in decreasing order.\nAnswer: 59, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50.7 * -5\nAnswer: -253.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2, -4, -1, 21, -0.4 in descending order.\nAnswer: 21, 5\/2, -0.4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - -24. Is z a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39 (base 13) to base 5.\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3 + 10 - 5 - 6*l. Let s = -3 + 5. Suppose 3*a = -2*h + 6*a + 3, 0 = -2*h - s*a + 8. Let g(k) = 2*k - 3. Determine h*c(t) + 8*g(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 19*c**2 - 22*c + 30. Determine g(20).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 240661 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -121202?\nAnswer: 121204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 894*o**5*s + 49*o - 7*s wrt o?\nAnswer: 17880*o**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125 + 11*x**2 - 206 + 81.\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3080400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**2 - 11*c**2 - 6*c**2)*(-2*c - 2*c + 5*c)*(c + 0*c - 3*c).\nAnswer: 26*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3231021245 and 0.21.\nAnswer: 0.5331021245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 113080721135 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/2 - (-147)\/(-2). Let f = b - -96. Calculate the remainder when 37 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + (11 - 13) - 29?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000035359 rounded to 7 dps?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 726, 724, 722, 720, 718?\nAnswer: 716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 3. Let m = 0.06 + -0.36. Let l(j) = -j**3 - 4*j**2 + 187*j + 570. Let h be l(-3). Which is the closest to h? (a) m (b) -3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -1665?\nAnswer: 1664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*(o*o**(2\/11))\/o*o)**(-2\/17))**(-1\/71))**(4\/11) assuming o is positive.\nAnswer: o**(192\/146047)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 199*h. Let j(a) = 75064*a. Determine m(j(d)).\nAnswer: 14937736*d","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 292610 and 197.\nAnswer: 57644170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**4\/3 + 32*t**3\/3 + 176*t**2\/3 + 128*t + 96 = 0. What is t?\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -3*d + 49, 4*k + 4*d = -0*d - 84. Let l = k - -16. Solve 2*v = -l*v + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**5 + 216*l**4 - 1590*l**3 + 3456*l**2 + 81*l - 5184 = 0.\nAnswer: -1, 3, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 208*r - 14. Let b be c(1). Let q = b + -187. Let d(v) = -v**2 + 9*v + 1. Determine d(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o + 24. Let v be (3\/5)\/((-17)\/(-170)). Suppose 0 = -2*d - 12 - v. List the prime factors of w(d).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-3 + 8 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**5 + 4*u**5 - 2*u**3 - 2*u**5 + 2*u**5 + 2*u**5 - u**5 + (u**4 - 2*u + 2*u)*(-1 + 2*u + 1).\nAnswer: 4*u**5 - 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 13*r - 456 = 38*r for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-21)\/21*2\/(-2). What is the third smallest value in -3\/5, j, 2, 0.38?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/32)\/(6\/12)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -1. Let q = 6 - 5. Is q <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7209 - 7213 + 550*k**2 - 7183 + 21605.\nAnswer: 550*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 3. Let z be (13\/((-390)\/18))\/((-38)\/(-20) + 2). Sort t, 3, 4, z in increasing order.\nAnswer: t, z, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -17. Calculate the highest common factor of 2 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 5:49 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**4\/2 - j**3\/2 + 2*j**2. Let n be (9\/(-12))\/(3\/(-8)). Let v be u(n). Calculate the highest common factor of 42 and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*n - 16 + 49. Solve -n*l = 19 - 4 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 6*i**2 + 2*i + 17. Let n be w(5). Suppose -3*j + 48 = 4*d, 0 = 5*d + 3*j + n*j - 55. What is the greatest common factor of d and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 18460?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 79*u**2 + 3*u. Let l(z) = 158*z**2 + 8*z - 2. Let k(o) = -2*l(o) + 5*y(o). Find the second derivative of k(m) wrt m.\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 261 by -522.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 108725599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -6. Solve c*s + 5*s = -20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qyqqydq. What is prob of picking 4 q?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6891, -13571, -20251?\nAnswer: -26931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9185.\nAnswer: 5, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - u - 59. Determine v(0).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 0.4, 1, -2\/7, -2 in ascending order.\nAnswer: -2, -2\/7, 0.4, 1, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - 0. Suppose -4*d = -p - 13, d = 3*p + 3*d - 3. Let x = -10\/33 + 136\/231. Which is the nearest to p? (a) 0 (b) x (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4\/8)\/(((-21)\/10524)\/(-7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11304 - 7021. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 33. Let g be b\/28 + 1957\/7. What is the highest common factor of 31 and g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 22*k**3\/3 - 247*k**2 + 459. What is the second derivative of q(m) wrt m?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1550, -3094, -4626, -6140, -7630, -9090?\nAnswer: -10514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 11 = s, 5*s + 5*w - 2 - 14 = -1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (498\/7)\/2 - (-56)\/(-98). Find the first derivative of -185*m**4 - q + 79 + 91 + 16 wrt m.\nAnswer: -740*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -73*a + 1493. What is t(20)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/((sqrt(14) - sqrt(350))\/sqrt(2)).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 73 in -2\/29, 2, -5\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 684183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 279 = -13*s - 333. Let z(n) = 48*n**2 + 6*n + 6. Let k(o) = -48*o**2 - 5*o - 5. Calculate s*k(p) - 5*z(p).\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p - 1. Let o be x(1). Suppose -7*g = 2*g + 486. Let n = g + 56. Solve 1 + n = -l + 3*t, -l + 4*t - o = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**4 + 4*p**4 - 2*p**4)*(204 - 363 + 219).\nAnswer: 60*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 47 + 74 + -40 + -55.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*m**6 - 131*m**5 - 321834*m**2 wrt m.\nAnswer: 3720*m**3 - 7860*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -430.45.\nAnswer: -430.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(0 + (-4)\/10). Let u = v + -2. Suppose u*x + 1 = -5. Which is greater: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 25 = -17 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13144900.\nAnswer: 2, 5, 131449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1207.2 to the nearest ten.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 22606521893463 less than -0.2?\nAnswer: -22606521893463.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1293\/4, -166, 1\/3, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -147.3*-0.07.\nAnswer: 10.311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1400 and 1537900?\nAnswer: 3075800","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7079298 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1539781327 to the power of 1\/3, to the nearest integer?\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 4 = -j + 2, -3*a + 2*j + 4 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-12\/7)\/m*m\/(m\/((m\/(m*m\/(m*m**(-1\/3)*m)))\/m*m)))**(14\/9) assuming m is positive.\nAnswer: m**(-86\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32796 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n**2 - n**2 - 19*n + n**3 + 17 + n - 12*n**2. Let v be o(17). List the prime factors of ((-3)\/3)\/(1\/(-198) - v).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7249852 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46779 and 837?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69 (base 14) to base 16.\nAnswer: 5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -833327, -1666766, -2500315, -3333974, -4167743, -5001622, -5835611?\nAnswer: -6669710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 2*p - 3. Suppose -17*y + 87 = 2. Give n(y).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**3 + m**2 - 1. Let g be q(1). Let o(y) = -5*y + 4. Let h be o(-8). What is the remainder when 48 is divided by 1 - h\/g - -2?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + p**2 + 3*p + 3. Let g be c(-2). What is the closest to 1 in g, -0.2, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -0*b - 3*q, -16 = -4*q. Let s(h) = 2 + 10 + 1893*h - 1904*h - 8*h**2 + h**b. What is s(9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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 l(s) = 4*s**3 + 55*s**2 - 723*s - 1671. What is l(-2)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00354778 rounded to five dps?\nAnswer: -0.00355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.08862 times -0.8\nAnswer: 0.070896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -553*t = -556*t + 21. Suppose -17*o + 20530 = -t*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 21406*i**2 - 449527*i + 16. Give y(21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k - 152074 = -151903 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 10:52 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1\/107226, 0.4, 0.5, 8, -3 in decreasing order.\nAnswer: 8, 6, 0.5, 0.4, -1\/107226, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*z + 2099998 = i, 3*i = 2*z + 2099994. Let h be z + (-3)\/9*0. What is h rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + 3*p**2 - 2*p**2)*(2*p**3 + 0*p**3 - p**3) - p**5 + 3*p**5 - 3*p**5 + (0 + 4 - 2)*(0*p**5 + p**5 + p**5).\nAnswer: p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8170, -16505, -24914, -33433, -42098, -50945?\n\"Answer: -6*j**3 - j**2 - 8290*j + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 5*u**2 + 8*u + 50. Calculate z(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 4*c - 6. Let u be k(5). Suppose -2*m + 4*m + 8 = 0. Let r = u - m. Solve r*h - 2*y + 25 = 0, 2*y - y - 5 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gpuupguuppgp. Give prob of sequence uu.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(-2\/9)*i*i)\/i)**14*i*i\/i**9*i**4)**(-1\/5))**(-30) assuming i is positive.\nAnswer: i**(142\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-36)\/21 - (15 + -17). Let d = 45 - 42. Sort -1\/4, d, p in decreasing order.\nAnswer: d, p, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1261824 and 1431?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -3. Let h be 14 - 2*3\/w. Let b = h - 9. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 - 8)*(-18)\/(-36). Suppose 2 + 4 = 6*w. Sort 6, w, p.\nAnswer: p, w, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 2*p - 11 - 12 = 0, p = -m + 4 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 375 and 1038000.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -26960, -59818, -92676, -125534?\n\"Answer: -32858*v + 5898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 4 - (-4 + (-1 - -1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y + 6. Let z(i) = i**2 - 5*i + 2. Suppose -2*u - 3 = -7. Let o be z(u). Determine h(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*x = 261*x - 16 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**4 + h**5 - h**4 + (0 + h**2 + 0)*(2*h**3 - 2*h**3 + 2*h**3) + (0*h**4 + 0*h**4 + 2*h**4)*(-2*h + 4*h - 3*h) + 4*h**5 - 4*h**5 - 3*h**5.\nAnswer: -2*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14134 less than 14134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255591.\nAnswer: 3, 7, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18595 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*c**3 + 4*c**3 - 15*c**3)*(4*c - 1 + c + 26*c) as h*c**3 + t*c + r*c**2 + l + k*c**4 and give h.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 37*l**6\/6 + 332*l**3\/3 - l**2 + 1251. What is the third derivative of x(h) wrt h?\nAnswer: 2220*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 4\/22809 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70314?\nAnswer: 2, 3, 11719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 6*g + 8. Give q(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0406 to 3 dps.\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44\/9 - 38\/9. Let f be (-2)\/(-7) - (-48)\/(-364). Which is the nearest to -1? (a) -0.5 (b) f (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*m - 133*m = -5. Suppose 0 = -30*d + 29*d + m. What is the highest common divisor of 42 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70 - 44. What is the lowest common multiple of c and 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -201300 divided by 300.\nAnswer: -671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3467 + 3466.5. Let z = -6\/5 + 4\/5. Which is the fourth smallest value? (a) 0.9 (b) z (c) 5 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 3*b + 2. Let v(c) = -c**3 + 2*c**2 - 2*c + 2. Let j be v(2). What is the remainder when i(3) is divided by (j\/(-5))\/((-2)\/(-10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1594062 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24418\/7 - -3488. Are v and -15\/268 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddu when three letters picked without replacement from duuuddudduuuu.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 85*o + 615 - 77*o - 395 + 603 in the form r + w*o and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(-2)*o)**(25\/4)\/(o\/((o\/o**0)\/o))**(3\/8) assuming o is positive.\nAnswer: o**(47\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, m: 2}. Give prob of sequence jmmj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**3 + 5*h**2 + 4*h - 28. Let q(r) = -2*r**3 + 3*r**2 + 2*r - 14. Determine 3*l(n) - 5*q(n).\nAnswer: n**3 + 2*n - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72360098 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 24 - (-1 - -2)\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = c - 2. Suppose -6*r + 56 = -c*r. Is 22 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - k**2 - k. Let i = -21 - -23. Let v(q) = 2*q - i*q**2 + q**2 + 2 + 2*q**2. Calculate 2*t(d) + v(d).\nAnswer: -2*d**3 - d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 7*u + 4 = -11*u, 0 = 5*x - 2*u + 7 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2005913 a multiple of 637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -5546 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pukk when four letters picked without replacement from {p: 2, u: 1, n: 2, o: 7, k: 6}.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17143 + -17128. Let f(l) = -3*l**2 + 47*l - 20. Give f(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90182 rounded to the nearest one thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 1\/2*a**3 - 1\/4*a**4 + 0*a - 1\/2*a**2 - 2. Let w(s) be the second derivative of o(s). Determine w(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20848 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-189)\/(-147))\/(((-42)\/4)\/7)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**3 + 2 - 6*u**3 + 2*u**2 + 7*u**3 + u**4 as g*u**3 + q*u + l*u**4 + k*u**2 + b and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**7\/42 + 34*d**6\/45 - 103*d**5\/30 + 5*d**4 - 56*d**3\/3 - 4*d - 8. Let h(f) be the second derivative of m(f). Factor h(p).\nAnswer: 4*(p - 1)*(p + 15)*(5*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**4 - 190*v**3 - 1895*v**2 - 1710*v = 0.\nAnswer: -19, -18, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)\/(sqrt(1152) + (sqrt(1152) + sqrt(1152) + sqrt(1152)*1 + sqrt(1152) - sqrt(1152)) + sqrt(8)))\/(-1*sqrt(275)*4)*3.\nAnswer: -3*sqrt(2)\/980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 162016 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + -8 + 15 - 17?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*z = 5, 2*z + 29 = -4*y + 7. Let n be 1\/1*(-5)\/(-1). Put -3, n, y in ascending order.\nAnswer: y, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jwjrwwwjwwwwrrwjwrww. What is prob of sequence rww?\nAnswer: 22\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 - 4*b + 1. Suppose -4*p - 17 = d, -5*d - 4*p = 2 + 3. Let n = -8 - -13. What is the remainder when g(d) is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j**2 + j. Let x = -8 + 7. Let y be p(x). Suppose 7 = y*l + 1. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43765774?\nAnswer: 2, 13, 1683299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4734 and 9?\nAnswer: 4734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6307 equal to 6326?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 10*s + 5. Let a be b(10). Suppose -5*i - a*t + 65 = 0, -9 = 2*t + 1. Let x = i - 15. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4564923*p + 2*p**3 - 4564923*p.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + 5 - (1 + -3). Solve 0 = 2*w + u*w - 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 14, h: 4}. Give prob of sequence zzh.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 33613, 33652, 33759, 33970, 34321, 34848, 35587?\n\"Answer: 6*d**3 - 2*d**2 + 3*d + 33606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -90*p - 174. Let j be u(-2). Put 5, j, 3 in increasing order.\nAnswer: 3, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -4, -1\/7, -26.4, -4\/5 in descending order.\nAnswer: -1\/7, -3\/4, -4\/5, -4, -26.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*k - 5*c, 5*k + 0*k = -5*c + 30. Solve m = -2 + k for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161971277 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: 0.1259499 - 0.3\nAnswer: -0.1740501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54983.971 + 54960. Round x to 1 decimal place.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**4 + 205*s**3 + 7275*s**2 - 40765*s + 33284 = 0.\nAnswer: -157, -53, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 695370*k**4 + 47430 with respect to k.\nAnswer: 2781480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*f = -196 - 254. Let u(t) = t - 4. Let p be u(6). Suppose 4 = w + p. Solve -f*q - 12 = s, 0*s = w*s + q - 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000177804 to 6 decimal places.\nAnswer: 0.000178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 16\/7, -0.1, -5 in decreasing order.\nAnswer: 16\/7, 2, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n*n**(1\/5)*n)\/n**(-3))**(9\/5) assuming n is positive.\nAnswer: n**(324\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12417288.24732224 - 21.97732224. Let f = 12417325.2699977 - p. Let k = f - 59. Round k to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfhfffffhfff. What is prob of picking 2 f?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -216550 divided by 4331.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a + 12. Give y(13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**3\/((f\/(f*f**6)*f)\/f*f*f)*(f**(-1))**(6\/23) assuming f is positive.\nAnswer: f**(155\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 - -76. Let q = 142\/3 - t. Which is greater: q or -1\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 7*i - 6*i + 37*i + 52*i + 18*i. Let p(n) = -5*n**2. What is z(p(y))?\nAnswer: -540*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.833 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 82358878659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -27*r**3\/8 + 1194*r**2 + 531*r\/2 = 0?\nAnswer: -2\/9, 0, 354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13742*h - 64 + 26066*h + 136 - 75 - 3857*h.\nAnswer: 35951*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -18. Let f = h + 7. Suppose f = -4*g - 0 + 4. Calculate the remainder when g is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 148 + -109. Solve 40*r = p*r + 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3302132121232 + 2?\nAnswer: 3302132121300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 102 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 + -7 - -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 651917663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22891 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*c + 2 = b, 0 = b - c + 6. Let u(a) = -34*a - 3. Let k be u(b). Suppose -p + 10 = -k. What is the remainder when p is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 4*h + 1139 = 1157, 0 = 5*v + 2*h + 16 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 8 = 3*i. Let x = i - 9. Suppose -16*s + x = -15*s. What is the third smallest value in s, 0.4, -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-1\/2)\/a))\/(a\/a**(-1\/2)*a)*a**6*a**(3\/7)\/a*((a**(-1))**(-40))**(-11) assuming a is positive.\nAnswer: a**(-3042\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -5*r**2 - 5*r - 59. Determine q(-5).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.5 + 6. Let d = -0.1 - -0.2. Let f = 5 + -3. Which is the nearest to d? (a) -2\/7 (b) p (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -18 + (32 - -9) + -47?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 9*r = -4*x - 5, 0 = -r - 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-466)\/18873*57\/133\nAnswer: -2\/189","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3128 or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 753.\nAnswer: -4\/753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 450 divided by -225\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*y - 19*y**2 - 18*y - 31503*y**3 - 25*y**2.\nAnswer: -31503*y**3 - 44*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w**5\/2 + 1965*w**4\/2 + 7965*w**3 + 21995*w**2 + 48075*w\/2 + 18045\/2 = 0. Calculate w.\nAnswer: -3, -1, 401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 10312*d**2 - 12*d - 20. Let q(v) = -10312*v**2 + 12*v + 20. Let w(a) = -2*m(a) - 3*q(a). Let z be w(15). What is z rounded to the nearest 100000?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5\/3*d**2 - 1\/3*d**3 + 14\/3*d + 0 = 0.\nAnswer: -7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 576841*n + 6922049. Give z(-12).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*d + 50 = 0, 211 = 2*x + 3*x - 3*d. Let r be (11\/x)\/((-2)\/8). Let z be (4\/(-3))\/(4\/(-2)). Which is the closest to z? (a) -5 (b) r (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + (-19 - (21 - 44)) - 23?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -5*m + 35, -2*k + 6 = -3*m - 53. Suppose 0*f + k = 5*f. Suppose c + 2*q - 7*q = 43, -f*c - q + 267 = 0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*z + 3*w = 98*z - 9320, -3*w - 6987 = -3*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11145003 to the nearest integer?\nAnswer: 3338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-800)*-10*4*2\/(-7).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 4*d + d**2)*(3*d - 4*d + 0*d)*(-4 + 0 - 2).\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2304751903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -194 != -0.132?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*u**3 - 3203*u**2 + 1762*u**2 + 1443*u**2.\nAnswer: -16*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 869.4976g in milligrams?\nAnswer: 869497.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14207*r + 7964*r - r**2 - 2010724 + 9079*r = 0.\nAnswer: 1418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/96 and 45\/275968?\nAnswer: 827904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2039*w**2 + 4*w + 452?\nAnswer: 4078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -1357.\nAnswer: -2\/1357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 24 = -2*m. Let i(w) = -w**2 + 8 - w + w - 5*w. What is the units digit of i(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/39 in 16, 4, -5, 48.6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dp when two letters picked without replacement from {d: 9, y: 2, i: 1, p: 2, q: 3}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1322 + -1312. Let a(z) be the second derivative of 3\/20*z**5 + 13\/12*z**4 + 0 + 0*z**3 + 0*z**2 - v*z. Find the third derivative of a(x) wrt x.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*(-3 - 171\/(-33)). Let p = 126\/11 - b. Suppose -7 + 7 = -9*w. Which is bigger: w or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 8*k. Let p = -19 - -13. What is the units digit of c(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-16182)\/(-8))\/((-375)\/(-1000))?\nAnswer: 2, 3, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13405 times -0.6?\nAnswer: -8043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**3 - 78*c**2 - 87*c + 289. Determine q(40).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 144, -4, 29, -2, 2, 25 in increasing order.\nAnswer: -4, -2, 0, 2, 25, 29, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029054024 rounded to three dps?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 17*m + 74. Let r be f(-9). Solve 0 = 4*t + 3*b + 7, 9 = -3*t - r*b - b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3020 and 303812.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.03 (b) -2 (c) -3\/8 (d) -0.09 (e) -6 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 80 = -4*u. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 - 25 = -2*c. Let n be (-2 - 18\/c)\/((-66)\/(-165)). What is the closest to 1 in 4, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5717 + -5273.1. Let m = s - 444. Sort m, 0, -1\/5.\nAnswer: -1\/5, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 greater than 321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1166\/7 + -87338\/525. Let m(d) be the third derivative of -11\/30*d**4 - 7\/150*d**6 + 0 - 3*d**2 + 4\/15*d**3 + 0*d + v*d**5. Suppose m(z) = 0. What is z?\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/647, -0.4, 1, 66, -3\/4?\nAnswer: 1\/647","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8800 (b) 2 (c) -5 (d) -0.3 (e) -69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t**3 + 5*t**3 - t**3)*(t + 2 - 2)*(1 - 1 - 8) as y + d*t**3 + z*t + o*t**2 + g*t**4 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*g - 258 = -5*k, 150 = 4*k + 2*g. What is the greatest common divisor of 9097 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23167.43 decades to centuries.\nAnswer: 2316.743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6\/5, -0.1028, -106\/9, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 112 - 107. Solve -3 = z*y - 2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -12*v - 9. Let b be f(-8). Let p = 107 - b. Solve 3 = 5*j + a - 2, p = 4*j + 4*a for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 5*h - 40, h + 3*h = -4*t. Suppose -t*m = 2*m - 1008. Suppose -5*y - v + m = -267, -5*v = -4*y + 352. List the prime factors of y.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10003807, -20007594, -30011381, -40015168, -50018955, -60022742?\n\"Answer: -10003787*v - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 346 (base 7) to base 9.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -521, -535, -551, -569, -589, -611, -635?\n\"Answer: -s**2 - 11*s - 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 5324*o + 11 = -2*h - 5321*o, 3*h + 2*o + 11 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35448 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 679440781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*k**3 - 182658870*k**2 - 243545124*k - 81181704 = 0.\nAnswer: -6765142, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -4. Let u = 0.3 + -1.3. Let j = 77504 + -77504.3. Which is the nearest to j? (a) d (b) -0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**3 + 521*j**2 + 33864*j - 1375. What is n(-125)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*k**2 + 83*k**2 + 37769*k**3 - 49*k**2.\nAnswer: 37769*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 119426*a + 18. Let d be w(7). What is d rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 4:21 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 288 and 2664?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 5:28 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -0.039 (c) 1\/6 (d) -0.8 (e) 9 (f) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -10. Calculate the smallest common multiple of 2 and (-3 + o\/1)\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - -5)*(-2)\/(-3). Suppose -4*p - 2*a + 2 + 6 = 0, 0 = m*a. Suppose -p*r = 4*q - 6, 0 = -3*q + 8*q - r + 3. Solve q*o = 4*o - 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**3 - 2 + 2 + u**3 - 2*u + 2*u + (3*u - 3*u + 2*u**3)*(-1 + 1 + 2) + (0*u**2 + 3*u**2 - 4*u**2)*(-77*u + 139 - 139).\nAnswer: 83*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.05 - 6.95. Let x = 352.64652513 - 359.646525. Let y = f - x. Round y to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {z: 7, h: 7, j: 2}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 z when three letters picked without replacement from {r: 2, k: 2, z: 11}?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**3\/6 - 3729*c**2\/2 + 172063*c\/2 - 5942257\/6 = 0. Calculate c.\nAnswer: -11233, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2954 divided by -2?\nAnswer: 1477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 10. Let k = 2219\/246 + 170\/41. What is the common denominator of i\/8 + (-865)\/180 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**4\/7 - 234*i**3\/7 + 3310*i**2\/7 - 1314*i - 1820 = 0.\nAnswer: -130, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 5*c + 10. Let l(s) = -s**3 - 11*s**2 - 10*s - 7. Let d be l(-10). Let w be (-28)\/6 + d\/21. Does 4 divide t(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 157 = 25*b - 21*b, 5 = 5*j. What is the smallest common multiple of b and (-3)\/2*2\/(-3)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -561 by 11.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0667, 5, 2, -19, -5 in increasing order.\nAnswer: -19, -5, 0.0667, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1264 - -4892. What are the prime factors of n?\nAnswer: 2, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-4)*(-257)\/3855. Let x(o) be the third derivative of 0 + 0*o - a*o**6 + 0*o**5 - 13*o**2 + 0*o**3 + 1\/6*o**4. Factor x(b).\nAnswer: -4*b*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -71. Let u = h + 92. Let q = u - 53.9886. Round q to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (10 + (-14 - -5) + -27 + 33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -41 - 94. Suppose -5*r + 4*q + v = -0, 5*q = 10. Let c(b) = b - 4. Let j be c(r). Solve 0 = -4*t - p - 16, 3*t + j*p + 7 = -5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-3 - 0) - -78. Suppose -92 - 61 = -17*o. What is the highest common factor of o and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, 0.1, 12, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3676377559 to the nearest integer?\nAnswer: 60633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 10238*n. Let j be g(3). Let m = j + -12341. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 25*l**2 - 99*l - 15. What are the prime factors of p(-24)?\nAnswer: 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 174? (a) -27 (b) -5 (c) -2\/191 (d) 1 (e) 0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**8\/60480 - z**6\/2160 - z**5\/60 + 3*z**2. Let g(x) be the third derivative of b(x). Suppose g(m) = 0. Calculate m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102, 422, 962, 1728, 2726, 3962, 5442, 7172?\nAnswer: 9158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 5*j + 24. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3187393396 a multiple of 422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -233222658*h*k - 4*k - 5901516 with respect to h.\nAnswer: -233222658*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 969438148 and 392?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -0.07 (c) 2850\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5972, 11575, 17206, 22859, 28528, 34207, 39890?\nAnswer: 45571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194827?\nAnswer: 194827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 889 is divided by 216?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 229bdd + 0?\nAnswer: 229bdd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3674, 4 in ascending order.\nAnswer: -3674, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5\/n*n**(-1))**(-5\/2)\/(n**(23\/4)\/(n**1\/(n**0\/n))) assuming n is positive.\nAnswer: n**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-6)\/(-276))*4*402\/(-1072)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 71*i**2 - 5*i**3 - 71*i**2.\nAnswer: -5*i**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-128)\/(-224)*(-1)\/14.\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 6*c**3 - 2*c**2 - 1. Let x be (-2)\/(8\/28*-1). Suppose 2*o = x*o - 10. Is 14 a factor of j(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 12*n. Let h(w) = -w - 21 + 10 + 11. Let c(f) = 3*d(f) + 45*h(f). Let p(a) = 2*a**2. Give c(p(l)).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 568885230235 - 568885230235 - 53*p**3.\nAnswer: -53*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -17*v**2 + 7*v + 3. What is the units digit of s(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3282686km to meters.\nAnswer: 328.2686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 667 is divided by 149?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, f: 11}. What is prob of picking 2 f?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of t**8\/6720 - t**7\/420 + t**6\/240 - 7*t**5\/120 + t**4\/12 + 2*t**2. Let z(l) be the second derivative of a(l). What is z(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 13*s - 6. Let w be m(-14). Let n be (-3)\/2*w\/6. Sort 4, -3, n in increasing order.\nAnswer: -3, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**3\/3 + 3*a**2 - 2*a. Does 10 divide o(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 890721 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/((-1155)\/(-30)) + 36\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -126 in decreasing order.\nAnswer: -3, -4, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 divided by -33?\nAnswer: 43\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -4\/3, 1\/3, 2\/227, -3\/5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*x - 27*x - 78. Let n be x + (2 - (2 + -16)). Solve 5*b + 2 + n = 4*p, -b = -2*p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -868 = -4*m - 0*r - 4*r, -3*r - 449 = -2*m. Suppose 0 = 37*l - 42*l + m. Let y = -42 + l. Solve -y*o + 2*b - 14 = 0, 2*o = 6*o + 3*b for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 428241510*n**2\/7 + 171296584*n\/7 - 8\/7 = 0.\nAnswer: -2\/5, 2\/42824151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s**2 + 1205*s + 21930 = 0.\nAnswer: -17, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a century in months?\nAnswer: 22200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -763 + 762.691. Let m = r - -0.30900236. Round m to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6273.24 grams in tonnes?\nAnswer: 0.00627324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7524, -8089, -8654?\nAnswer: -9219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 642629 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b - 2*a + 15, -b - b = -5*a + 35 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 12:28 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 45\/(-165)*6134\/6. Let i = 279 + t. Put 0.19, 2\/7, i in ascending order.\nAnswer: i, 0.19, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*p = 4452579 + 598737 - 397297. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -84*w**2 + 1326*w - 995. Give b(15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 21 - 1. Suppose -g + x*g = 6. Find the third derivative of -d**3 + g*d**2 - 3*d**3 + 3*d**3 wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(360)*1 - (sqrt(1440) + sqrt(1440)*2))*2)\/(6*(sqrt(32) - (sqrt(4608) + sqrt(4608)*-2))) + -1)**2.\nAnswer: 5*sqrt(5)\/13 + 801\/676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 261, 0.088, -24?\nAnswer: 0.088","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/1)\/(-1*10\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 19*s**2 - 27*s + 9. Let q be g(-20). Suppose -2*k - 5 + q = 0. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5336 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -1383*l + 70542. Give x(51).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15207193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 7*x + 3. Let v be w(-7). Let p = v - 3. Suppose 0 = 4*r + 3*u - 83, -4*r - u + 0*u + 81 = p. What is the least common multiple of r and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -81*n - 2803. What is the least common multiple of 225 and b(-38)?\nAnswer: 2475","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1313*y**3 + 24*y**2 + 1320*y**3 + 114*y**2 to the form w*y**2 + i*y**3 + j + a*y and give w.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(475) + 0)**2) + -1.\nAnswer: -476 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6913.347nm to meters.\nAnswer: 0.000006913347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/16*8\/30*((-297375)\/(-122))\/(-125)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 15*h**2 - 101*h - 478. Calculate b(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.99 - 0.01. Let u = -0.11 - -2.11. Let p = -27 + 26.9. What is the second biggest value in u, p, i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p - p + p + 6*p**2 as s + k*p**2 + z*p and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c - -1?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/10 - 1\/(-5). Let u(x) = 2*x**j - 4 + 0*x**2 - 4*x**2. Let z(l) = -1. Let h(y) = -3*y**2 + 17*y + 5. Let d be h(6). Calculate d*u(a) + 4*z(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13)\/(-4) - (-24)\/32. Let n(k) be the first derivative of -8\/25*k**5 - 6\/5*k**u - 8\/5*k + 16\/15*k**3 + 6\/5*k**2 + 2\/5*k**6 + 9. Solve n(h) = 0 for h.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -228 - -298. Let t = -69.9999888 + b. Round t to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5131322282?\nAnswer: 2, 37, 41, 1691273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 573184 and 306688?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y - 11. Suppose -u + 5*u + 24 = 0. Let g be o(u). Which is the third biggest value? (a) g (b) -2\/13 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*x + 2*x + 23341. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 6:23 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.10137826 - 0.5.\nAnswer: -0.60137826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 13 - 2 = 0, p - 2*q + 44 = 0. Let l be (p\/(-6))\/((-4)\/(-348)). Suppose -z + 6*z = l. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 5*d**4\/12 - 43*d. Let o(b) be the third derivative of b**4\/24 - b**2. Determine o(m(y)).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/3 of a week in hours?\nAnswer: 3416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 2\/((-70)\/(-21)) + (-15351)\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwphwip.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 w, and 1 k when three letters picked without replacement from {k: 2, w: 1, t: 1, n: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 20 = 0, 302*k - 301*k - 7257 = -4*v. Does 79 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111986 (base 16) to base 11\nAnswer: -6a5a5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 863550 a multiple of 570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k - 15*k - 19*k + 11*k + 7*k.\nAnswer: -24*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**2 - b**2 - 4*b**2 + (2*b - b - 2*b)*(1 - 3*b - 1) - 38978*b + 38978*b + 1150*b**2 to the form r + q*b + g*b**2 and give g.\nAnswer: 1151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -83 - -100. Let i(o) = -o**3 + 25*o**2 + 23*o - 34. Is i(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5204?\nAnswer: 2, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from wwwwwgwggg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/4 of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21838\/25 + 874. Which is smaller: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511424321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*c - 263*c + 4 = -2*n, 0 = c - 2*n - 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 4 + x**2 - 200*x**4 + 386*x**4 + 4*x + 2*x**3 - 2 - 192*x**4 as a*x**3 + v*x**4 + l*x + z*x**2 + i and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 5*i + 1, -3*z = -5*i + 1 - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)*m*m*m)**(-3\/20)*(m\/(m\/((m*m\/m**(1\/3))\/m*m))*m)**(1\/6) assuming m is positive.\nAnswer: m**(13\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(-4)\/396*411. Let m = -20\/33 + b. Which is smaller: 5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -200, 74, 0.3, -0.2, 2\/215 in descending order.\nAnswer: 74, 0.3, 2\/215, -0.2, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -47, 33, 1.\nAnswer: -47, -4, 1, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 d, and 1 y when four letters picked without replacement from yvyuudduqyvyuyydy.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 121 and 5.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 300 + -98. Let q = -206 + p. Which is greater: 6\/11 or q?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 22*k**2 - 24*k**2 + 6*k + 40*k**2)*(-2*k**3 + 0*k**2 + 0*k**2).\nAnswer: 12*k**5 - 12*k**4 - 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1349933881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) - sqrt(90)\/sqrt(2) - sqrt(45))\/sqrt(9) + -4)**2.\nAnswer: 8*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3 = -3*h, -2*h + 3*h - 1 = -5*r. Suppose -2*d + 0*d - 2 = r. Which is bigger: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13745.6 days to microseconds.\nAnswer: 1187619840000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 418928981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g**3 + 10*g + 10. Let d(b) = 45*b - 575. Let n be d(13). Let r(p) = -41*p - 48*p + 90*p + 1. Calculate n*r(o) - j(o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12910?\nAnswer: 2, 5, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 13. What is the units digit of (-20)\/3*(-6)\/k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*i**4 - 1436809*i**3 + i**2 + 6119469*i wrt i?\nAnswer: 96*i - 8620854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 + (-3 - -1) + -7 + 8. Solve -5*j = -4*p + 22, j = n*p - p - 14 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**4 - 2*l**4 + 3*l**4)*(-35 + 35 + 5*l) + l - l - 9*l**5 - 2*l**5 + 2*l - 2*l.\nAnswer: -l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -27, -176, -431, -792, -1259, -1832?\n\"Answer: -53*c**2 + 10*c + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.859 + -76.259. What is x rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 102 + 27 = 0. Let c = l - -28. Sort -2, 2, c, -7.\nAnswer: -7, -2, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61357196 at most as big as 61357195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -6 + -10 + (16 - -8) + -11 + 65\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 2. Suppose -n*l = -3*l + 42. Is l a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2386124579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 6118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1126097 < 1126090?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1958 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36091?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**5 - 10*z**4.\nAnswer: -2*z**4*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -s**7\/21 + 47*s**6\/15 + 7*s**5\/20 - s**4\/6 + 598*s**2 + 1181*s + 1. Find the third derivative of x(y) wrt y.\nAnswer: -120*y**2 + 2256*y + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 82 = 29. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -2, 0.04, 2, -5 in descending order.\nAnswer: 2, 2\/13, 0.04, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 5*l**3 + 40*l**2 - 45*l = 0.\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 + 1180*t - 2380.\nAnswer: 5*(t - 2)*(t + 238)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, 175, 263, 351, 439, 527?\nAnswer: 615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18200, 36398, 54606, 72830, 91076, 109350, 127658, 146006?\nAnswer: 164400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 461425, 461372, 461285, 461164?\nAnswer: 461009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 6. Let d = -4 - -3. Let c = 1 - d. Let p = 2 - c. Calculate x(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + k**2 + 5*k + 2. Suppose b + 13 = -3*l + 2*b, 4*b = -5*l - 50. Let v be t(l). Let i be 76\/v + (-6)\/(-21). Is i greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 777809 or -8\/7?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -14*i**2. Let f(n) = n + 1. Suppose -3*m - d = 14, 3*m + 5 = 3*d - 1. Let t(l) = -2*l**2 + 4*l + 4. Let r(a) = m*f(a) + t(a). Give o(r(c)).\nAnswer: -56*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n - 52. Let c(v) = 5*v + v - 10*v + 9*v. What is c(p(x))?\nAnswer: -10*x - 260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2658021?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 - 65606060*u - 538019388590450.\nAnswer: -2*(u + 16401515)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 28, -29 in descending order.\nAnswer: 28, 3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -650835 >= -650837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*g**5 - 5 + 27*g**5 - 18*g**3 + 3*g - 40*g**5 - 2*g wrt g?\nAnswer: 40*g**3 - 108*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 141 and 34028.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-7))**(-13\/7)\/(a**27\/a**(-28)))**(18\/13) assuming a is positive.\nAnswer: a**(-756\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273*r + 6250 + 699 + 2879 = 0 for r.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 7*c**2 + 9*c - 5. Let z = 14 + -6. Let v be t(z). Factor 7 - 7 - f**2 - 2*f**v.\nAnswer: -f**2*(2*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 9 - 7 = -4*s, 0 = -s - 3*x + 2. Suppose v - 2 = -3*g, -v + s*g = -2*v - 2. Solve -d + 6*o = 4*o + v, 4*d = -o - 14 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5357742.1 + 736.83.\nAnswer: 5358478.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -2*a + 25, 4*a - u - 8 = 3*u. Suppose 4*p - 3*s + 3 = 0, -2*p - 5*s + a = -p. Find the second derivative of 7*v**5 + p*v**5 + 29*v - 23*v wrt v.\nAnswer: 140*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -4*s**4 - 136076*s**3 + 544432*s**2 + 2177216*s - 8709888 = 0.\nAnswer: -34023, -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(2 - 158))\/((-10)\/(-45)). Which is greater: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-2)\/4*(281058916\/(-2573) + (-6)\/93)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (152\/20)\/((-4)\/(-10)). Which is smaller: 20 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**2 - 6*d + 6*d + (0 + 3*d + 0)*(4 - 4 + 2*d) + 3*d**2 + 2*d**2 - 2*d**2.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4668780, 4668785, 4668790, 4668795, 4668800?\n\"Answer: 5*t + 4668775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.039 at most -11\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m\/(m**(-3\/7)*m*m*m*m*m))\/m*m**5*m\/(m**8\/m*m*m)*m**(-2\/5)*m*m)**(-47) assuming m is positive.\nAnswer: m**(8178\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 715097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7\/5 + 16\/15. Which is the closest to 2? (a) -5 (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87 - 87. Let f = g + 13. Suppose -q = -f*q + 48. Solve z + q*u + 0*u = 0, -5*u = z + 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qkqqkq?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17925 is divided by 59.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 225252666 divided by -2\nAnswer: -112626333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 61110232?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2, 12, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - q = 0. Suppose -2*k - 3*k - 10 = q. Which is smaller: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 617232255, 1234464510, 1851696765, 2468929020?\n\"Answer: 617232255*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-585))\/((-8)\/(-40))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + j - 4. Suppose -2*m + 11 = -9. Let u = m + -14. What is the units digit of o(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - -1*(-1 - -4). Suppose m = 5*a - 14 + 4. Suppose o + a*l = 6*o - 3327, 4*o - 3*l = 2656. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 4*a - 9. Let o be z(7). Let w be (0 - 1)\/5 + (-16)\/(-5). Solve -3*x = w*i - o, -2*x + 0*x + 6 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4036660230 + 1?\nAnswer: -4036660226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 2, i: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65 or -46?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.74181 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*q**4 + 717*q**3 - 2310*q**2 - 717*q + 2340 = 0.\nAnswer: -1, 1, 39\/10, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -4, -96, -0.4, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1136 - 11498*k**3 + 2486*k**3 + 2264 - 1128)*(2 - 4 + 4) in the form z*k + c*k**2 + v + y*k**3 and give y.\nAnswer: -18024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7390*0.2945\nAnswer: -2176.355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 93*b**2 - 5. Let r(x) = -2*x + 1297. Calculate r(n(g)).\nAnswer: -186*g**2 + 1307","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 11:45 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 8:30 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-4 + 3 - -8) - 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 26*f**3 + 3*f**2 - f - 9. Let s(t) = 50*t**3 + 5*t**2 - t - 18. Let m(a) = 3*s(a) - 5*z(a). What is the second derivative of m(n) wrt n?\nAnswer: 120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g + 2. Let w = 12 + -17. Let x(d) = 6*d - 3. Give w*r(u) - 4*x(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31451, -62125, -92795, -123461, -154123?\nAnswer: -184781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of b**5\/60 + b**4\/3 + 4*b**3\/3 - b**2. Let w(j) = j**3 - 9*j**2 - 10*j - 6. Let l be w(10). Calculate v(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 204989, 820093, 1845269, 3280517, 5125837?\nAnswer: 7381229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 i when four letters picked without replacement from oipdicu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -471*i = -3*g - 472*i - 22, i = 2. What is the closest to 0 in -0.2, -70, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 17\/2 of a milligram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -854 - -1987. What are the prime factors of h?\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -9. Let f be 7\/((-112)\/12)*h. Which is the biggest value? (a) -3 (b) 0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75399 is divided by 309.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.23 (b) 8 (c) 14.4 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 11. Let q(t) = -t - 12. Let v be q(-16). Solve -3*f + a = 5*w + 1, -v*w + 26 = -2*f for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -38*k**3 + 230*k**2\/3 - 4*k\/3 = 0.\nAnswer: 0, 1\/57, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1207*r + 1039*r + 2688 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8891 (base 10) to base 11\nAnswer: 6753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20511 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287273759 is divided by 617793.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 29827.8?\nAnswer: 11931.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 - -57. Suppose -g*p = 301 - 1149. Suppose x = -3*x - 5*r + 421, -x - 2*r = -p. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7 - -0.6. Let u = k + -4.9. Let o be (-4)\/(-12) + -1*1. What is the nearest to o in 4, u, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -1329*a**3 + 7*a**2 + 5*a + 1. Let l be o(-2). Let d = 532521\/50 - l. What is the common denominator of -11\/40 and d?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or 4?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2625605490127\/3447 + -761707417. Let x = -379172\/383 - -990. Let d = x - s. Calculate the common denominator of d and 52\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 33.8, -122.8, -0.5 in ascending order.\nAnswer: -122.8, -0.5, 33.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -55, -53, -47, -37, -23, -5?\n\"Answer: 2*z**2 - 4*z - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 7 + 22 + -29 + 3 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t. Let w(c) = 189*c + 2. Give 2*k(x) - w(x).\nAnswer: -191*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 1591*p - 1592*p + 9, w + 27 = 3*p. Find n such that 0 + 4*n**2 + w*n - 8\/3*n**3 + 4\/9*n**4 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22811115707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -343580000 to the nearest one million.\nAnswer: -344000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 12*w**3 - w**2 + 2*w - 1. Let b be q(1). Let p be (-8)\/b + 2\/3. Suppose 4*c - 40142107 - 7457893 = p. What is c rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 10 = 0, 2*r + 2*f = -2*f + 10. Let h be 2\/((-33)\/(-27) + -1). Let k = r + h. Calculate the remainder when k is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 + -6 + -27 - -19) + (0 - -4 - 102)\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 2*x + 3. Let k(f) be the third derivative of f**5\/60 - f**4\/8 + 5*f**3\/6 + 91*f**2. What is -3*k(b) + 5*q(b)?\nAnswer: 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/60 and ((-1075)\/120 + 4 + 5)*-149?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2677, 2673, 2667, 2659, 2649, 2637, 2623?\nAnswer: 2607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-3 - -1 - (-5 + 11 - 17))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -6011*f**3\/3 + f**2\/2 + 2105*f - 91. Find the second derivative of a(z) wrt z.\nAnswer: -12022","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13\/50 - 3\/50. Let c = -59 - -235\/4. What is the nearest to c in 2, -2\/7, h?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 70020*u - 840092. Determine m(12).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -148, -297, -446, -595?\n\"Answer: -149*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1590?\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 70.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -27057648501.34+0\nAnswer: -27057648501.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/7 in 1\/3, 45, 0.3, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51\/2 - 26. Let r = -0.052 + -1.948. Which is the closest to 0.1? (a) r (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79187570 rounded to the nearest one million?\nAnswer: -79000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - 1) + (0 - 3). Let z be 224\/140 + 0 + (-4)\/s. Suppose 12 = 3*h + 3*o, 2*h + 4*o - 2 = 8. Solve -n + h = z*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, 0, -28, 1\/4, -86, 4, -2.8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p + 2. Let z be x(2). Suppose z = 8*w - 5*w + 96. Calculate the remainder when -3 - w - 4\/2 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**6\/180 + 2*v**5\/15 + 5*v**4\/12 - 26*v**3\/9 - 16*v**2. Factor a(n).\nAnswer: -2*(n - 13)*(n - 1)*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3 = 3. Let i = 48 - 44.1. Let s = -4 + i. What is the nearest to s in 2\/7, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -22, -11, 0.8, 0.5, -0.2 in descending order.\nAnswer: 0.8, 0.5, -0.2, -4, -11, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 43925 + 51555. Let p be (x\/(-150) - 4\/(-30)) + -2. Let s = p - -296. What is the greatest common divisor of 15 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6456 and 17.\nAnswer: 109752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -7. Let l be (n + (-21)\/(-9))*9. Suppose -8*r = -l*r - 125. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/4 and 61\/233654.\nAnswer: 467308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1904a (base 16) to base 7\nAnswer: 604521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136848, -274543, -413082, -552465?\nAnswer: -692692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4613680?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 2*k + 4. Let u(a) = 6 - 79*a + 41*a + 41*a. Let d(p) = 2*p + 6. Let w(x) = -5*d(x) + 4*u(x). Let i be w(1). Give b(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 167 + -184. Let l(m) = m**2 + 20*m + 51. Let b be l(r). Solve -15 = 3*y - b for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 415*q - 35395. Give l(-120).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + n + 7. Let p be i(-3). Let z(a) = a. Let r(l) = 1. Let c(v) = p*r(v) - 4*z(v). What is c(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**3 - 313404*d**2 + 2507328*d - 5014720 = 0.\nAnswer: -156710, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a meter in millimeters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6250699?\nAnswer: 7, 13, 149, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 107, 144, 179, 212, 243?\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1789\/16 + 677\/6. Calculate the common denominator of c and -73\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 700 = 441*o - 525 - 2744 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 3. Let c = 15 - l. Is 4*(-9)\/(-12) + c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 3:09 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/105*3)\/(4\/(-30))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 - 39. Let a(r) = 18*r - 11. Is a(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 - 2792?\nAnswer: -2786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2236056400 rounded to the nearest 1000000?\nAnswer: 2236000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 200 and 900?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -396229 by 6.\nAnswer: -396229\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 12:06 PM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 10:50 PM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -65, -2, 4, -5, -3, 6 in decreasing order.\nAnswer: 6, 4, -2, -3, -5, -11, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19209 - 10871. Does 23 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 q when three letters picked without replacement from {q: 3, i: 8}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/(70\/(-105)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27797 to the power of 1\/2, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 1247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 11*l**2 + 6*l + 10. Let a be q(-8). Round a to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21047 - 21064. Let r(o) = -o**3 - 17*o**2 + 2*o + 51. Calculate r(l).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5081 - 45725\/9. Which is the closest to -2\/35? (a) -8 (b) d (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -664 divided by 33168?\nAnswer: -83\/4146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*l + 74, 0 = -3*l + 3*w - 6*w + 90. Suppose -7*y = -6*y - l. Calculate the least common multiple of 72\/y + (-2)\/8 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -1956295*i**3 + 15*i**2 + 33*i - 1. Let v be y(-3). What is v rounded to the nearest 1000000?\nAnswer: 53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -225975, -451951, -677927, -903903?\n\"Answer: -225976*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6113 - 1b?\nAnswer: -612e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19533012?\nAnswer: 2, 3, 47, 59, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -10765.\nAnswer: 43060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1729 and 44707?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/((-12)\/(-22682))*3. Suppose 6*a = 2*a - 85364. Let o = j + a. What is o rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5666, 11519, 17366, 23201, 29018?\nAnswer: 34811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l + 90. Let w be t(5). Suppose 3*x + 12*x = w. Solve 14 = -2*j - 5*d, -j + 4*d + x = -1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 83*c**5 + 988*c**3 - 988*c**3 + (-5*c**4 + 4*c**4 + 0*c**4)*(c - 1 + 0*c + c).\nAnswer: 81*c**5 + c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6*k - 4. Let u be (-1)\/(-3)*3 - 2. Let t be 9*u\/((-9)\/(-6)). Let a(q) = 7*q - 5. Determine t*f(v) + 5*a(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 172231, 172066, 171903, 171742, 171583?\nAnswer: 171426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002452 rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) -124 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 268\/8 + (-1)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 divided by -21?\nAnswer: -46\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(1\/4)\/h)**(2\/7)*(h**(-4)*h)\/h**0)\/(((h**(-2\/3)\/h)\/h)\/h**(3\/4)*h*h**(-5)*h*h**9) assuming h is positive.\nAnswer: h**(-439\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -9*z**2 - 118*z + 1. Let u(m) = -3*m**2 - 38*m. Let w(j) = -11*u(j) + 4*x(j). Let c be w(-18). Solve 10 = -2*v - 4*r - c, 2*r = -3*v - 13 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -10629972\nAnswer: -31889916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*r - 270*r = -100 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5667?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53.65 + -41.8. Let z = q + -6.85. Let s = -2\/7 + 11\/14. Which is the closest to s? (a) z (b) -7 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4393, -8941, -13479, -17983, -22429, -26793?\nAnswer: -31051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5003839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/50 and -28\/75.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 6 = 0, -1 = 5*f + 4*n + 6. Let w = -6 - 13. Let j be w\/(-5) - f\/(-5). Solve 3*b = 9, -2*a - 5 - 1 = -j*b for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l + 20. Let q be a(-6). Suppose -1 = -3*d - h, -2*d - q*h = -d + 8. Suppose 1 - d = u. Which is bigger: u or -2\/65?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -209, -1510, -5033, -11888, -23185?\nAnswer: -40034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 6*w + 4. Let y be d(6). Let z(v) = v**3 + y*v**2 + 13 - 29 - 2*v + 14. What is the units digit of z(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2919 divided by 3\nAnswer: 973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*g - 13*g - 16. Suppose 4*l - g = -0. Are 2\/11 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1065 + 1068. Let b(q) be the second derivative of 0*q**5 + 0*q**2 + 0*q**4 + 0 + 8*q + 1\/6*q**6 + 1\/2*q**h. Find the second derivative of b(f) wrt f.\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 30. Is ((-25)\/(-15))\/v + (-86648)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 0.05.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*h**2 - 107*h**2 + 46*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*g + 22*h - 46*h + 23*h = 39, 0 = 5*g - 5*h - 15 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15853208 less than -1.14?\nAnswer: -15853209.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1972\/51*-1*((-24)\/(-40))\/(10\/(-25)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-6*-2*sqrt(187) + sqrt(187))\/(sqrt(22)\/(-1*sqrt(2))) + -4).\nAnswer: 12 + 39*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 273422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l - 65 + 97 - 32 + 37*l.\nAnswer: 26*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4994 rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + ((-22)\/(-30) - 12\/30). What is the third smallest value in 1\/5, 2, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 9*w**2 - 4*w - 3. Suppose -2*n - m = -4*n + 20, 4*m = n - 24. Let l be v(n). What is the remainder when l + -4*(-3)\/(-6) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 15 = 3*p + 1, 5*w = p + 27. Let o be (-5)\/(100\/(-12)) + 7\/w. Suppose 0 = 4*x - 6 + o. Calculate the highest common divisor of 8 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2509146 is divided by 179197?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 563 + -563.1. Let o = -13 - -8. Which is the nearest to j? (a) o (b) 2\/9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -12. What is the closest to -1 in -3, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 7*v**2 + 2. Let x be h(-7). Let o be (-1845)\/(-27) - x\/(-3). Let a = o - -88. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3141 (base 6) to base 4\nAnswer: 23011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -8. Suppose -s - 63 = -2*n, 2*n + s + 13 = 66. Calculate the remainder when n is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-24)\/(-14))\/(-65 + 56 - (-1767)\/196). Let m(w) = w**3 + w**2 - w + 98. Let i be m(0). Calculate the greatest common divisor of l and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkaakrakakkrkrrkr. Give prob of picking 1 r and 2 a.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -71, -125, -119, -11, 241, 679, 1345, 2281?\n\"Answer: 7*b**3 - 12*b**2 - 67*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -15. Suppose 0*o - u*o = 0. Suppose -q - 2*x = -o*x - 20, -q = 3*x - 24. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 k when two letters picked without replacement from {f: 1, k: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 - -72. Let u = k + -37. Suppose 5*l + 10 - 29 = -3*o, 2*l = 3*o + 16. Which is the second biggest value? (a) -4 (b) l (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 2. Let w(s) = 2*s**2 - s + 5. Let r(t) = 8*p(t) + 3*w(t). Let u(k) = -2*k + 20. Let g be u(11). Give r(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 6 + 4*j**2 + 10 - 16. Let g(l) = 2*l**2. Give g(n(t)).\nAnswer: 32*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1347191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -368288*68\nAnswer: -25043584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 34 or 594\/17?\nAnswer: 594\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 13*v**2 - 2*v - 3. Let f(n) = -n**3 - 8*n**2 + 8*n - 15. Let l be f(-9). Let p(y) = 7*y**2 - y - 2. What is l*a(u) + 11*p(u)?\nAnswer: -u**2 + u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 110540 - 331622\/3. Suppose -5*k + 10*k = 4*a + 11, 0 = -5*a - 4*k + 17. Sort j, -0.1, a in decreasing order.\nAnswer: a, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 35 - 8?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -174849 + 37?\nAnswer: -174812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -7*u**2 - 61*u - 37. Calculate d(-9).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 2*y + 3. Let d be q(3). What is the third derivative of -3*u**3 + d*u**3 - 19*u**2 + 12*u**2 wrt u?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h + 7. Let y be t(-5). Find the second derivative of -31*r + 153*r**2 - 61*r**2 - 67*r**y wrt r.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqxqxqqqxxqxdxxxqxqq. Give prob of sequence qdq.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 9 = 47. Let l(d) = 56*d**2 - 8. Let o(w) = -19*w**2 + 3. Let r(m) = p*o(m) + 2*l(m). Differentiate r(b) with respect to b.\nAnswer: -42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-13 - (11 - 18))\/((-33)\/(-517)).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/24 and -57\/220.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(396) + 0 - (-5 + sqrt(396) + 0 + sqrt(396)))*-6.\nAnswer: -12 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (1 - (-7 + 13))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9766*o - 11913*o - 7320*o - 12592*o.\nAnswer: -22059*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12753 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: What is 618 minutes before 7:23 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52 - -51.999176. What is n rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v - 3*v - 2*v**2)*(2*v - 15*v + 4*v) + 29*v**3 - 37*v**3 + 68*v**3 as z*v + f*v**2 + a*v**3 + u and give a.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -840 times -775786\nAnswer: 651660240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.2, -1.28 in ascending order.\nAnswer: -4, -1.28, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3956*q**5 + 55*q + 19 wrt q?\nAnswer: 79120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -225*f + 227*f - 1 - 2*f**2 + 0*f**2 to p*f + i + v*f**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*f - 6 = 2*m - 49*f, 2*f = -3*m + 23 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (318\/18 + -5)*(-9)\/(-3). Calculate the highest common divisor of 1026 and d.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 18152 = 4*i + 18164, 3*i - j + 32 = -i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 56 = -0*u. Suppose -u*t - 72 = -152. Suppose 0 = -5*z - 2*s + 46, -z - 2*s + 14 = -0*s. Is z != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-3))\/(((-189)\/(-243))\/7).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -38*m + 38*m + 3*m**2. Let j(b) be the third derivative of 0*b**3 - 2*b**2 + 0*b**4 + 1\/20*b**5 + 0 + 0*b. Give j(x(y)).\nAnswer: 27*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 4*w - 4. Suppose -w*q = -62 + 18. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 90719, 90717, 90715?\n\"Answer: -2*x + 90721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -101 + 173. Let f be 69\/4 - 10\/40. Let g = f - 9. What is the greatest common factor of g and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 15 = 2*g, -3*s - 2 = 7. Calculate the lowest common multiple of g and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 282 (c) -3595\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.22 and 225651837.7?\nAnswer: 225651837.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2778*i + 2781*i + 2789*i + 2783*i + 6 + 2783*i - 13928*i.\nAnswer: -14*i + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 9934?\nAnswer: -9933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3366.2*0.41.\nAnswer: -1380.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-55)\/(-10))\/((-1)\/(-34)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 13*j**3\/6 + j**2 + 4*j. Let m be k(6). Calculate the highest common divisor of 32 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c = -5*l + 15*c + 690, 4*c - 138 = -l. Does 38 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -10328*l + 10328*l + 31*l**2 + l**2. Let b be o(1). Calculate the greatest common divisor of b and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48803791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of y**3\/3 - 94*y - 6. Let q be r(0). Let g = 151 + q. Is g a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 82.\nAnswer: -8.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29119?\nAnswer: 37, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 549869 (base 11) to base 7\nAnswer: 10311250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -133.73 - -99.535. Let w = b - -34. Let l = -0.35 - w. Round l to 2 dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 9 + 12 - -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 176245 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 69516, 139034, 208554, 278076, 347600, 417126, 486654?\n\"Answer: b**2 + 69515*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 17835 = -3775. Let n = z + -1212. Round n to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - a + 377. Let i be g(0). Suppose k - i = -2*n, -193 = -3*n + 5*k + 353. What is the greatest common factor of n and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (42 - 51) + -8 + 7\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -88 - -88.67. Let m = b + -0.17. What is the second smallest value in -7, m, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72440787.801433 + 72440083.8. Let a = c + 704. What is a rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146.9192us in milliseconds?\nAnswer: 0.1469192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -209 - -199. Which is the closest to s? (a) -3 (b) -2\/9 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -4*l + 15 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.11? (a) -0.1 (b) 0.17 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((17\/2)\/((-9)\/18))\/(((-722)\/38)\/(-38))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 12*z**2. Let c(s) = s + 5. Let t(n) = -8*n - 35. Let d(o) = 21*c(o) + 3*t(o). Give d(b(x)).\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2342507647?\nAnswer: 139, 353, 47741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-20)*287\/6888.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192338124 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 370 + 37*f - 147 + 115*f + 254 wrt f.\nAnswer: 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -951 (base 16) to base 15\nAnswer: -a90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 64967216*w**3 + 31237*w**2 + 10 wrt w?\nAnswer: 389803296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2306, -9986, -22766, -40640, -63602, -91646?\nAnswer: -124766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**3 - 4*j**2 + 4*j - 2. Suppose 0 = o + 3, g - 2*o = 3*o + 19. Let c = g + 2. Suppose -c - 2 = -4*k. Calculate r(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17b - -13329?\nAnswer: 134a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 2*w**3\/3 - w**2\/2 + 6*w - 17. Let y(p) = -p**2 - 1. What is -i(f) - 4*y(f)?\nAnswer: 2*f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -13*m + 38. What is the units digit of l(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -5*q + 32, 4*b + 4*q - 24 = 2*q. What is the second derivative of -b*k - k**2 - 15 + 15 + 7*k wrt k?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.4 + -4.400037. What is d rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**4 - 28*a - 6 - a - 4*a**2 + 9*a**4 - 32*a + 59*a + 2*a**3 to the form p + m*a**3 + d*a**4 + i*a + v*a**2 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 10:16 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1114 at most as big as 1114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/3 - 20021*q**3 + 401080405*q**2 - 8054043749477*q\/3 + 96129658328748.\nAnswer: (q - 20009)**3*(q - 36)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1660051 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 4 + 5)*(-40 + 65 - w - 38) in the form h*w + n and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1029*z - 303*z + 0*z - 119*z)*(1 - z - 3 + 2*z).\nAnswer: 607*z**2 - 1214*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 72\/4470169 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - (-45)\/10)\/(1\/(-28)). Let d(c) = -2*c**2 - 5*c + 2. Let k be d(-5). Let n = g - k. What is the greatest common factor of n and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66327406.\nAnswer: 2, 3109, 10667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Let f(p) = p - 5. Suppose j - 6 = 4*c, 2*j - 3*j = 2*c + 6. Let m(l) = -8*l - 1. Let v(o) = 9*o - 3. Let q(x) = -m(x) - v(x). Determine c*f(s) - 3*q(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 2*t. Let x(d) = -d**2 - 4*d - 1. Let p be x(-4). Let q(f) = 3*f**2 + f. Let o be q(p). Let w be g(o). Put 2, -3, w in descending order.\nAnswer: 2, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-312)\/(-546)*-7 - (-1)\/((-180)\/(-712))\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1176524 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.1 - -29.9. Let f = -33.9 + t. Let g = 2.1 - f. Which is the nearest to g? (a) -1\/3 (b) -3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 6*m**3 + 7*m**2 + 12*m + 16. Let p(o) = o**3 - o**2 + 1. Let a(c) = -g(c) + 5*p(c). Let q be a(-11). Is q <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**3)**(3\/11))**(-1\/34)\/((z*z*z\/((z*z\/z**4*z)\/z))\/(z\/(z*z**5*z))*(z\/z**(-1\/4))**(3\/17)) assuming z is positive.\nAnswer: z**(-493\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 724, 60, -1744, -5258, -11052?\nAnswer: -19696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 0 - 1\/2*c**3 + 0*c + 2*c**2 - 1\/4*c**4 - 1\/12*c**5 - 1\/120*c**6. Does 3 divide b(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 2*m**2 - 2*m - 1. Let c be j(3). Suppose c = -4*x - 2. Let n be (6 + -8)*19\/(-437). Is x equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.1 - 3.\nAnswer: 13.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/4))**18*(l**(-1\/3)\/l)\/(l\/l**(-4\/5)) assuming l is positive.\nAnswer: l**(-229\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 5132444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 3, 4, -3.9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kjwk when four letters picked without replacement from {k: 11, j: 1, w: 1, s: 1, x: 1}?\nAnswer: 11\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/((2 + -3)*(-395)\/237). Factor 6\/5*p**2 + 0*p - 8\/5 + 2\/5*p**b.\nAnswer: 2*(p - 1)*(p + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhp when three letters picked without replacement from hmzzkhhmhzhpzmmz?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1376 - (-1 - (19 - 8)).\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + q + 14 = 5*q, 5*q = -w + 27 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 11:17 AM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k**2 - 4*k - 26. What is the tens digit of i(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = l + 2, -3*k - 2*l + 40 = 0. Suppose -g + k = 4*h, -g + 4*h + 3 = 7. Is 3 a factor of -3*(-1)\/3 + g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*u**6 - u**4 - 3377*u**2 wrt u?\nAnswer: -4200*u**3 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*i = -2*i - 6, 3 = 2*r + i. Suppose g = 0, 4*b + 0*b + r*g - 12 = 0. Solve 4*m - 9 = b*c, -4*m - 5*c - 11 = 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -77 - -61. Which is the biggest value? (a) -5 (b) w (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69 - 104 + 44)*(-l**5 - 8*l**5 - l**5).\nAnswer: 1290*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 11*n**2. Suppose -30*o + 5996 + 3634 = 0. Let x(u) = 321 + u - o. Calculate p(x(c)).\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -49462.\nAnswer: -49462, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -10 + (-1)\/1 + 1. Let z = -5 - c. Let k(r) = -28 - 16 - 6*r + 47 - 9. Let j(x) = -7*x - 7. Determine z*j(f) - 6*k(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-14))\/((-1)\/(-7)). Let j(a) = -38*a + 5*a**2 + 4 - a**3 - 23*a + 69*a. Is j(f) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 26593898 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*w = 39*w + 5. Let i(s) = -s - 1. Let f(g) = 2*g + 3*g + 2*g + 2 - 2*g. Let p(v) = w*f(v) + 2*i(v). Let k(t) = 9*t. Calculate p(k(n)).\nAnswer: 27*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*h + 2*l, -4*h - 12 = 5*l - 2. Let u be 2\/h + (-18)\/(-495)*11. Solve -t + 5*x + 11 = u, 2*t + 4*x = 5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 942, 3840, 8668, 15426, 24114, 34732, 47280?\n\"Answer: 965*c**2 + 3*c - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 1. Let s(o) = -o**3 - 12*o**2 - 13*o - 17. Let r be s(-11). Suppose 0 = -r*l + 18 + 7. Give t(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 5 + 2. Let l = o + 10. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 3*s - 4*l + 26, l = 4. Factor -2*d + d**s - 38 - 3*d**2 + 42.\nAnswer: -2*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4550, -9095, -13640?\n\"Answer: -4545*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/1153 and 69\/10.\nAnswer: 11530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 6 - (6 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 b when three letters picked without replacement from whjhhhbbbzhs?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -8*h + 4804. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -588*a + 7285. What is f(12)?\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 179 + -79.4. Round s to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100101101011 (base 2) to base 12\nAnswer: -148b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 294 - 292. Suppose -3*h + 27 = w, 2*h + f*w - 35 = 7*w. Solve 0*u + 5*u = h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -393 and 68.\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -4. Let x = 4 + w. Calculate the least common multiple of x and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -144\/7 + 2\/7*s**3 + 152\/7*s - 44\/7*s**2.\nAnswer: 2*(s - 18)*(s - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1761703*b**4 + 2584448 wrt b.\nAnswer: -7046812*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/3)\/((-56)\/(-196))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - 646 + 601, -6*j - 30 - 27 = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3259119?\nAnswer: 3, 1086373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 38 = 4*u - 250, 3*a = 0. Suppose u = -k + 77. Sort 112, 3, 0, k in decreasing order.\nAnswer: 112, k, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.6 (b) 0.02 (c) 4 (d) 0.5 (e) 1\/3 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 + 22*z + 3. Calculate the remainder when m(-12) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -3 + -1 + 7 + 8 + -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1074 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(72) + 1 + sqrt(72))*-3 + (0 + (sqrt(72) - 1*sqrt(72)))**2 + (-2 + 1*sqrt(72) - (sqrt(72) + (-1 + sqrt(72) - sqrt(72)) + 0)**2).\nAnswer: -77 - 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 15*n = 5*q + 443, -5*n + 4*q = -556. Is n a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = q + 3*m - 69, -331 = -2*q - 3*m. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 0*b**3 + 0*b**4 - 313\/20*b**5 + 2*b - 3 - 265\/2*b**2. What is the first derivative of c(u) wrt u?\nAnswer: -939*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2011200000 + -110021?\nAnswer: -2012010021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -640 + 910. Suppose 0 = -p + 3*n + 90, 0*p + 5*n = -3*p + d. What is the greatest common factor of 36 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 125293587 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -n - 0*n. Suppose 0 = -2*l - n - 3. Let i = -490.1 + 489.7. What is the second biggest value in l, -4, i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 5*v + 25, -5*h + 5*v + 25 = -0*h. Suppose -2*c + h*c = 0. Suppose c = 4*i - 21 + 5. Solve -n = g + n - 5, 0 = i*g - 3*n - 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38384 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17902 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81 and 38\/2 - (-616)\/77.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -9a?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1188) - (-2*sqrt(1188)*-5 + sqrt(1188)))\/(sqrt(147) + sqrt(147) + -6*2*sqrt(147)).\nAnswer: 12*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 8:44 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000657 rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78)\/(-52)*(174\/290)\/(18\/(-1640))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-6))\/((-2)\/24). Suppose 3*n - a*d + 22 = d, 3*n + 3*d = 18. Let i(w) = -3*w**3 + 1. Calculate i(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-42808)\/(-10) - (-4)\/20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 0*c. Suppose c*d + 152 = -4*x + 4*d, 3*x = -2*d - 124. Round x to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**5 + 10*h**4 - 133*h**3 - 112*h**2 - 2*h + 31 wrt h?\nAnswer: -120*h**2 + 240*h - 798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 1 + 0 + 0. Let a(k) = 0*k - 6 + 7*k - 8*k. What is 2*a(z) + 10*c(z)?\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 8 = -o, g - 2 = -1. Let a(r) = 2*r**2 - 4*r + 6. Is a(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*q = 12, k + 3*q + 9 = 6*k. Suppose k = -5*t + 2*t + 4590000. What is t 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 17431 to the power of 1\/2, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63 - -63. Solve l = -3*o - 3 - 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6255 - 6253. What is the closest to t in -23, -0.1, -2\/11, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 - 64. Let q(i) = -28*i**3 - 25. Let h(u) = 28*u**3 + 24. Let v(k) = x*q(k) - 2*h(k). Find the first derivative of v(n) wrt n.\nAnswer: 84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1471229 + 1471233. Suppose -n = -4*f - 3, 4*f + 3 = n - f. Solve -3*h - 3*i - 12 = -c*h, n*h = -3*i for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25348646*a**3 - 50697491*a**3 + 25348520*a**3.\nAnswer: -325*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5 + (sqrt(5) - sqrt(5)*-3))**2.\nAnswer: -48*sqrt(5) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 489510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 6:17 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 4:49 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 63, -5, 0?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -837 + -9?\nAnswer: -840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33877175 is divided by 615948?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 5. Suppose 39*f + 13395 = 54*f. Let r = 888 - f. Determine p(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 12:56 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**5\/20 + g**4\/8 - g**3\/2 + 4*g**2. Let i = -1 - 2. Is y(i) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + -7)*-14 - -18?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 p when two letters picked without replacement from nnenpxsnpnenpn.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 299, 303, 307, 311, 315, 319?\n\"Answer: 4*r + 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -159503945?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1\/((-4)\/778))\/((-195)\/390)?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 r, 1 h, and 1 c when four letters picked without replacement from {p: 3, r: 7, h: 6, c: 1}.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 39459, 44357, 49255, 54153?\n\"Answer: 4898*l + 34561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 97*z**4\/8 + 209*z**3\/6 - 105*z**2 - 321. Let m(u) be the second derivative of k(u). Find the first derivative of m(q) wrt q.\nAnswer: 291","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 325474 and 77349344?\nAnswer: 2986","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ds when two letters picked without replacement from {v: 4, s: 3, d: 5}?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.05 - 1.51. Let d = y - -0.53. Let q be (-8 - -8) + 0\/(-2). What is the closest to q in d, -0.5, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/1697058 and 79\/90.\nAnswer: 8485290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16868 - 11803. What are the prime factors of w?\nAnswer: 5, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 316456588?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(2 + -3 - 3). Let r = -23 + 48. Suppose -2*w + 4*f + 20 = -3*w, -5*f = r. Solve 5*v + 2*j - 31 = w, 2*v + h*j = 6 + 16 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0245 + 43.3245. Let i = t - 58. What is i rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-572)\/(-130))\/((-1)\/(-5)). Let l = o - -9. Solve h - 10 = 2*t - 4*t, -l = -4*h - 5*t for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2409 + -2408.89. What is the nearest to 6 in c, 0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5377806 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3*4\/(-36))\/((-3)\/27). Let j be p\/6*0 - (-4)\/20. Which is smaller: j or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -182*l**2 + 310*l - 310*l + (-4 + 4 - 2*l)*(-2 - 2*l + 2) + 2*l**2 + 2*l**2 + l**2.\nAnswer: -173*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 109165912 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, -68, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83 - -88. Suppose -y*p + 3*n = -2129, 4*p + 5*n = -0*n + 1718. What are the prime factors of p?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3425862 rounded to four dps?\nAnswer: 0.3426","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 627309227.\nAnswer: 18593, 33739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -3014.2 to the nearest ten.\nAnswer: -3010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 6 = 4*o - 0, -5*t = 5*o + 30 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*p + 16*p + 18*p + 16*p + 0*p**3 + 1 - 2*p**3 as d + a*p**3 + g*p**2 + m*p and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225063 is divided by 2474?\nAnswer: 2403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 w when four letters picked without replacement from {y: 1, m: 2, w: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10915 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7786925, -15573854, -23360783, -31147712, -38934641, -46721570?\n\"Answer: -7786929*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13849.\nAnswer: 11, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 11:54 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3 = 5*a, 2*z + a = -3*a - 6. Let d(g) be the first derivative of g**2 - 2\/3*g**3 + 0*g + z. What is the second derivative of d(y) wrt y?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 5 (c) -0.7 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76209821?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170787314?\nAnswer: 2, 19, 43, 127, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 3:45 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10.59+-0.87\nAnswer: 9.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z - 1. Let m be c(3). Let i be m\/(-4) + 10\/(-20). Let p be 14*(i + (-9)\/6). What is the highest common factor of p and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 534 + 33. Calculate the common denominator of 33\/20 and (b\/36)\/(-1 + -22).\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 5*a**2 - 16*a + 5. Suppose -6*t - 14 = 16. Let l(n) = -2*n**3 - 12*n**2 + 40*n - 12. Give t*l(v) - 12*h(v).\nAnswer: -2*v**3 - 8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.306617 - -0.127.\nAnswer: 0.433617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -6 + 19 + 3 + 0*v + v. Let c be d(-6). Solve -6 = -4*p + c for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-5 + (6*sqrt(1872)*1 - 3*(sqrt(1872) + 1)))*-6)**2.\nAnswer: -62208*sqrt(13) + 1826496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -70*q**2. Let k(i) be the first derivative of i**3\/2 - 24*i - 192. Let g(c) be the first derivative of k(c). Give g(p(j)).\nAnswer: -210*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2078887\/669712 + 2\/125571. Find the common denominator of ((-3)\/(-30))\/(4\/146) and b.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o - 28 + 1 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*d = 35*d + 23*d + 4016. Calculate the remainder when d is divided by (-112)\/(-10) + (-1)\/5.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + sqrt(1300) - (-1 + (sqrt(1300) + -3)**2)) + (6*(sqrt(1300)*-1 + 0)*4)**2.\nAnswer: 70*sqrt(13) + 747487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 185 - 110. Let s be (-3595)\/(-30) + 2\/12. What is the greatest common factor of k and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, a: 3}. What is prob of sequence naa?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o - 2. Let p be h(7). Suppose 0*y + 6 = y + 5*u, 0 = -4*y - u + p. Let m(r) = -9*r. Calculate m(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 + (-100)\/8)*(-2)\/5. Solve 40 = j + q*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -110*b**3 + 50*b**3 - 64*b**3 + 610 - 709 wrt b.\nAnswer: -372*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3445463 divided by 5\nAnswer: -3445463\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7750 + -7749.5. Let g = -0.4 - -0.3. Sort -2\/7, z, -2, g in descending order.\nAnswer: z, g, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11468, 22887, 34294, 45683, 57048, 68383?\nAnswer: 79682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111471, -111672, -112005, -112470, -113067?\nAnswer: -113796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -182, -348, -514, -680, -846?\n\"Answer: -166*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.4, 2, -5, 9, -116?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2015880217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 28 - 4. Let l(u) = -u**2 - 10*u + 10. Let o be l(s). Let d be o\/(-6) + (-6)\/9. Sort d, 4, 2.\nAnswer: d, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 4 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4826682 divided by 1608894\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 1:24 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 10*u**2. Let f(c) = -7*c**2 - 7*c**2 + 12*c**2. What is f(j(y))?\nAnswer: -200*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 12096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 f, and 1 i when four letters picked without replacement from qioofyzyfyoo.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 102*b - 6942 - 924 + 1644 for b.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n + 0 + 1 + 0. Let w(y) = -y**3 - 12*y**2 - y - 13. Let t be w(-12). What is the units digit of l(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + -57*(-5)\/15. Suppose -1 - m = -5*u. Solve 0 = u*q - 15, q + 2*q - 35 = 4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 7*h - 14*h + 8*h**2 + 1 - 29*h**2. Let s(j) = j**2 - j - 1. Let b(c) = -n(c) - 4*s(c). Let z(v) = 6*v**2 + 4*v + 1. Give -4*b(d) + 11*z(d).\nAnswer: -2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**3 + 7*k - 70*k - 84*k + 37*k - 2*k**3.\nAnswer: -k**3 - 110*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1105 + -193376\/175. Is b >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2238*k**5 - 275275*k**4 + 8041257*k**3 + 26080297*k**2 + 17753589*k - 7938 = 0. What is k?\nAnswer: -2, -1, 1\/2238, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -13*j + 48. Let h(m) = 3*m - 12. Let u(g) = -9*h(g) - 2*p(g). What are the prime factors of u(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s - 5 - 47 = 4*k, -5*k = 3*s + 29 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 15*r = -2730. Let u = r + -389. Are -5\/13 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**3 - 978*w + 213*w**2 + 978*w to the form n*w**2 + k + t*w + c*w**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1062)\/(-45))\/((-1)\/5). Let g = s - -123. Suppose 0 = a + 1, -724 = -u + g*a + 1380. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 41965307052.\nAnswer: 41965307057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -0*c - 2*y, -y = -3*c + 11. Suppose -3*f + 4 = -c*t, 0*t - 4 = 4*f + 2*t. Solve -4*r + 4*a + 1 - 13 = f, -2*r - 2*a + 14 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.11 - 0.01. Let k be (-14)\/(-4) - (-13)\/26. Let w be -1 - (k + (-189)\/39). Put w, n, 5 in decreasing order.\nAnswer: 5, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 + 11 + (-9 - 4) + -14 + -7.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - (-9)\/(-3))\/(-3). Factor 0*n - z*n**2 + 0 - 2\/3*n**3.\nAnswer: -2*n**2*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29*(-270)\/169650)\/((-42)\/4)?\nAnswer: -2\/455","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (4 - 21\/10). Let i be 2\/(-9) + (-250)\/90. Which is the nearest to i? (a) w (b) -1\/3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 4*u - 10. Let c be y(6). Let p(r) = 4*r - 52. Let b be p(14). Solve c*s = 3*s + 5*a - 9, 3*s + b*a = 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339*y**2 - 11*y + 382*y**3 + 173*y**2 + 166*y**2 - y.\nAnswer: 382*y**3 - 12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llgllllllegllllllllg. Give prob of picking 1 e and 2 g.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64*d**3 - 14*d**3 + 20*d**2 - 54*d**3 - 8 to w*d**2 + y*d**3 + t + c*d and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3133928*h**3 - 27856*h + 50?\nAnswer: -18803568*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -3. Let y(f) = -1 + 84*f - 188*f + 3*f**2 - 1 + 106*f + 0*f**2. Let a(p) = 7*p**2 + 4*p - 4. Let i = 23 - 32. Give i*y(h) + w*a(h).\nAnswer: h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4489, -5, 5, 4 in descending order.\nAnswer: 4489, 5, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2846 - 25149?\nAnswer: -27991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {z: 6, p: 2, u: 2, d: 9}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 0 = -60. Suppose x - q = 5*j, -2*j - 3 - 1 = 0. What is the second derivative of -17*i**2 - 12*i**2 - 2*i**x - 20*i + 0*i**2 wrt i?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 1:48 PM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(15\/4)\/u)**(-2\/23) assuming u is positive.\nAnswer: u**(-11\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f57 - ac56?\nAnswer: -8cff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1093 is divided by 343.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 10*p**2 - 12*p + 13. Let m be i(11). Let t(z) = 54*z + 1. Is t(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**3\/5 + 51*b**2\/5 + 867*b\/5 + 4913\/5 = 0.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxlzvqx. What is prob of sequence xxv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 50 = 17*a. Put 3, a, 15 in decreasing order.\nAnswer: 15, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 2\/7 (b) -1.8 (c) 73 (d) -3\/5 (e) -1\/5 (f) 1 (g) 6.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62376031 a multiple of 211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64567.\nAnswer: 64567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12525 - -1415326\/113. Which is the third smallest value? (a) 4 (b) r (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -70 - -125. Let p = 58 - h. Let x be 12\/(-40) - (-8)\/20. Which is the fourth biggest value? (a) -1\/5 (b) p (c) x (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 0*k = -12. Suppose 0 = 4*l - 30 - k. What is the smallest common multiple of 22 and l?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 174 = -146*z + 480, 5*u - 9 + 24 + 22 = z for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t + 3*b + 37, 2*t + 13*b = 10*b - 29 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3652914 + 515011.39.\nAnswer: 4167925.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*o**3\/5 + 454*o**2\/5 - 1424*o\/5 + 1376\/5 = 0 for o.\nAnswer: 43\/23, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1184\/14800*(-10)\/(-2))\/(2\/90)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 9 = 2*j. Let d(n) be the first derivative of 1 - 9\/4*n**4 + 0*n + 0*n**3 + 6*n**j - 3\/5*n**5. Find h such that d(h) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 21*c**2 + 4. Let t be s(21). Find the second derivative of 101 - 145*d**t - 184 + 81 - 43*d wrt d.\nAnswer: -1740*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, m: 3, c: 3}. Give prob of picking 1 c and 2 m.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*h**2*i**3*r**2 + 2*h**2*i**3*r + 3*h**2*i - 3*h**2*r + 2*i*r - 2*r**2 wrt i.\nAnswer: -90*h**2*i*r**2 + 12*h**2*i*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 12 times -272821\nAnswer: -3273852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 33 = 3*n, 155*n - 156*n + j = 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2986391 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -367, -364, -361?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1, -4, -5 in descending order.\nAnswer: 1, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 - 8*j**2 + (1 - 1 + j**2)*(-18 - 4 - 12).\nAnswer: -42*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2*-1)\/(1\/((-56)\/16)). Suppose 3*l + v = -r, 5*r - 5*l - 17 = 4*r. Solve -r*s - t = -5*s + 16, -5*s + 5*t = -40 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251187?\nAnswer: 3, 101, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o + 345 - 176 - 169 - 6*o. Let b(t) = t**3 + t**2 - 5*t. Give 2*b(n) - 3*i(n).\nAnswer: 2*n**3 + 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3465 and 7785?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-1 - 4) + -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -24, -47, -76, -111, -152?\n\"Answer: -3*c**2 - 14*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7022, -28109, -63250, -112445?\n\"Answer: -7027*u**2 - 6*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171 and 10963.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 173670\/(-9924)*(-10)\/7.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -17*(3 + 0 + -10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -39481, -39454, -39401, -39310, -39169?\n\"Answer: 2*p**3 + p**2 + 10*p - 39494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 8 = 2*m. Let d = 52 + m. Differentiate -s - d + 45 + s - 4*s**3 wrt s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence djo when three letters picked without replacement from jdo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 5.36.\nAnswer: 0.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qpqp when four letters picked without replacement from {q: 13, p: 5}.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*2\/(4\/(-2)). Let s(k) be the third derivative of 17*k**6\/120 - k**4\/24 - 59*k**2. Is 5 a factor of s(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0490802 + 1473179.\nAnswer: 1473179.0490802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 12:10 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4*-6*(sqrt(171)*1 + 1 + 1)*-4*-2.\nAnswer: 379 + 576*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 160*d - 5267. What is the remainder when 870 is divided by n(48)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.5 * 0.13\nAnswer: -0.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*(-29)\/(2755\/(-38))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21359 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 + 34. Suppose 3*s - 13 - 80 = -3*h, -3*h = 4*s - 92. Calculate the highest common divisor of l and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150 divided by 10?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 3875.253\nAnswer: 11625.759","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*l**3 - 8*l - 4*l**3 + 0*l wrt l?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 1:39 PM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2380722075.\nAnswer: 3, 5, 17, 641, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s = -2*s - 3710. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -332 + 442. Calculate the greatest common factor of w and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v**2 + 227*v + 2370. What is q(-12)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65 + -60. Solve 2*h - 3 = -b for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/43, -0.03, 17, -4, 0.93, -1 in descending order.\nAnswer: 17, 0.93, -0.03, -3\/43, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 4. Let h = -6 - d. Let r be (-3*h\/6)\/1. Solve 2*s = -r - 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpaa when four letters picked without replacement from hafagpfappgpahhha?\nAnswer: 1\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/47)*a)\/((a*a*((a\/((((a*a**(-26))\/a)\/a*a)\/a))\/a)\/a)\/a) assuming a is positive.\nAnswer: a**(-1224\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21608.\nAnswer: 2, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5.908689mm?\nAnswer: 0.005908689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, g: 1, j: 2, b: 2, q: 1}. What is prob of picking 1 u and 1 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l*l**(2\/7)*l)\/(l\/(l**(6\/5)*l)))\/(((l\/(l*l**(-2)*l))\/l)\/l)**2)\/((l*l\/l**(-5)*l*l**(-3\/5)*l)\/(l**6*l*l*l*l**(1\/2)*l)) assuming l is positive.\nAnswer: l**(671\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than 41563732483596?\nAnswer: 41563732483595.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b - 100 = 2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -22*f + 110. Let t(b) = -9*b + 44. Let v(y) = -5*l(y) + 12*t(y). Find the first derivative of v(x) wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 38*a**2 - 1402*a + 1065. Determine v(36).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16 - 1) + 9 + -5 + -7. Suppose 65 = x + 4*x. Is k > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**4 - 6982 + 16*d**3 + 6966 - 3*d**4 wrt d.\nAnswer: -4*d**3 + 48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/227, -1343, -1\/9 in descending order.\nAnswer: 2\/227, -1\/9, -1343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -491 divided by -165\nAnswer: 491\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 9:03 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 4*j**2. Let o(v) = -4*v**3 + 12*v**2 - 1. Calculate 7*m(k) - 2*o(k).\nAnswer: k**3 + 4*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -18*z**2 + 2*z. Let x(r) be the second derivative of r**4\/12 + 216*r. Give s(x(c)).\nAnswer: -18*c**4 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27345271?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 6:03 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zewzzcezr. Give prob of sequence rzz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 736?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/6)\/((-93)\/10602). Is 75 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -6*p - 1. Suppose -3*a + 8*a = -5*z, 0 = 5*z + 3*a + 6. Let t be q(z). Suppose -t*i + 20*i = 108. Is 30 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 2:32 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 64*m + 65*m = -1280, 0 = -5*k + 3*m + 6394. Calculate the remainder when k is divided by 37.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*z = 2*k - 7399994, 2*k - 14800009 = 3*z. What is k rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 17*a - 3. Suppose -3*z = -7*z + 36. Let t be p(z). Let w = t + 121. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 4. Let n = -43.4 - -43. Which is the nearest to z? (a) n (b) -0.2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 3 + 7. Let s be (-4)\/d - (-2 + 4). Suppose s = -5*j + 25. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 231\/55 + (-1)\/5. Suppose 3*q - 24 = 3*h + 18, q = -h + s. Calculate the remainder when q is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 1 + 2*i + 4 - 2. Let g be 1310\/8 - 12\/(-48). Let z = -170 + g. Calculate w(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -x - 2, -26 = 3*x + 3*a - 11 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -17*s**2 + 3*s + 4. Let u = 20 - 63. Let n = u + 48. Let c be q(n). What is c rounded to the nearest 10?\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -13222?\nAnswer: 13221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36.3 + 38. Let f = -1.4 + j. Which is the closest to 0? (a) -0.1 (b) -1\/7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -997548, -1994857, -2992166, -3989475, -4986784?\nAnswer: -5984093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 8. Let o = 45728 - 45729.0000036. Let f = d + o. What is f rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 286.5 - 118.2. Let b = w + -158. Let t = b + -2.1. What is t rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -92\/11, -1 in increasing order.\nAnswer: -92\/11, -1, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7958 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**2 - 19*s**2 - 6*s**2.\nAnswer: -26*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/11996 and 49\/4.\nAnswer: 11996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1769.5 rounded to the nearest ten?\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 359*y**2 + 2. Let t(r) = r + 6740. Calculate t(x(u)).\nAnswer: 359*u**2 + 6742","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1706410272 to the nearest integer?\nAnswer: 41309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 845156 less than 845157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -2. Suppose -5 = -3*x - n*x. Is (-14)\/35*x*-65 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128 and 39456.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 586763739?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1064, -15\/4, -2\/5?\nAnswer: 1064","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 617733, 1234701, 1850903, 2466345, 3081033, 3694973, 4308171, 4920633?\nAnswer: 5532365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*f*x**2 + 1626*f*x - 8*f + 19306*x**3 - 31*x + 1 wrt x?\nAnswer: -46*f + 115836*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/25 of a millennium?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -200 - -204. Calculate the remainder when 27 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -1851*m + 7403. Give a(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 7 + 32 = -w, 5*z + 1254*w = 1251*w - 7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((-3)\/7) - (-1 + 5). Suppose 0 = -t*j - 4*z + 33600020, -z + 6*z - 11200025 = -j. What is j rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 10. Suppose -31 = -5*u + y*k + 9, -4*u = -k - 32. Let g be 1\/(-2) + 9\/2. Solve g*s = 4*a - u, -2*a = -5*s - 6*a - 19 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.00877 from -0.00301835.\nAnswer: 0.00575165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 465918?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*x + 499 + 615 - 202 = 0 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 408 = -4*n. Suppose q - 141 = n. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -513568, -1027137, -1540706, -2054275?\nAnswer: -2567844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 + 15*o - 3. Calculate y(12).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-nine fifths of a century?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kqfqfggkggq. Give prob of sequence gffk.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 196.67 + -195. Let a = -1.97 + h. What is the smallest value in a, 2\/7, 0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 10:01 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -163, -1\/5, 23.05736 in decreasing order.\nAnswer: 23.05736, -1\/5, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 196 + -2546\/13. What is the third biggest value in 8, -0.5, -4, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 111.200006889 - 111.2. Round a to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g - 2*g + 5560 - 343*g**3 - 4871 with respect to g.\nAnswer: -1029*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189287 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide ((-756)\/(-15))\/(33\/440)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {d: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 5:49 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24996*g**2 - 42311*g.\nAnswer: 49992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = x + 13 - 44, -4*q + 2*x - 26 = 0. Let w be q\/(-4) + (-12380)\/40. What is the remainder when 6\/39 + w\/(-26) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 7*v**2 - 5*v + 8. Let n be y(8). Suppose -4*b - 5*o = 1, 4*o + 0*o + n = 2*b. Calculate the least common multiple of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -27*j + 180. Let z(o) = 13*o - 80. Let y(p) = -4*l(p) - 9*z(p). Calculate y(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*-21211.6.\nAnswer: -212116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n + 6. Let g be (-4)\/7 - 51\/21. Let x be d(g). Solve 16 = -4*z, 36 = -4*i - 2*z - x*z for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**2 - 7*r + 7*r - 2*r**2 - 3 = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 176*c**2 + 39*c - 133. Let k be r(4). What is the greatest common factor of k and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -95 in 11\/3, 0.4, 1.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69 - 72. Suppose g = -5*w + 5*g - 10, -3*w - 6 = g. What is the tens digit of (-68)\/w + (-3)\/t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0307454mm to centimeters.\nAnswer: 0.00307454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284975 is divided by 9497?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38247 + 429302. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 203090328 to the nearest integer?\nAnswer: 14251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 108 = -8. List the prime factors of f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1064 (base 14) to base 7.\nAnswer: -11154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 135 = 165. Let m = -75 - u. Solve 6*w - w = m for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 630305368 and 308.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 85833 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3606 times -0.63?\nAnswer: 2271.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 95500170 - 95500104.00000896. Let o = w - 66. What is o rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.27 - 3.27. Which is the closest to -3? (a) 5 (b) w (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t**3 + 8*t**2 - 2*t - 481. What is y(0)?\nAnswer: -481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5*x**2 - 1707*x + 23055. Give s(13).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, y: 1, u: 1, g: 2, e: 2, x: 1}. What is prob of sequence gog?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 866536 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**2 - 5*b**2 + b**2 + 34*b**2 - b**2 - 15*b**2 + (-2 + 3 - 3)*(-3*b**2 + 2*b**2 + 3*b**2) as a*b**2 + i*b + q and give a.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z. Let n(d) = 1211*d**2 + 1. What is o(n(v))?\nAnswer: -6055*v**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*d - 132*d + 22 - 11 = 3*i - 21, 2*d + 0*d - 18*i - 28 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 8:18 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 + 3214*d**2\/3 - 955*d - 358\/3.\nAnswer: (d - 1)*(d + 358)*(9*d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 345 = -355 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does -352 = 1092?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4516547670 to the power of 1\/3, to the nearest integer?\nAnswer: 1653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (74 - (-1 + -1)) + 4 - (-550 + 556).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 214 * -167.\nAnswer: -35738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*g + u = 9, 3*u = 15. What are the prime factors of g\/(3*3\/153)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -98 - -97.23. Let f = -16488231.7699929 + 16488231. Let o = q - f. What is o rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 123 + -50056716?\nAnswer: -50056573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t = -4*s - 10, 113*s - 42*s = 38*s + 35*s - t - 7 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 496 bigger than 496?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 0 + 0)*(-3*p - 4*p - 5*p)*(2*p**2 - p**2 - 3*p**2).\nAnswer: -48*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**3 + 5*g**2 + 5*g**3 - 11*g**3)*(2 - 6 - 3)*(4*g + 0*g - 5*g).\nAnswer: -7*g**4 + 35*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 772, 2, -4 in decreasing order.\nAnswer: 772, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*c - 981 = 0, -5*c = -3*w - 3*c + 588. Let o be 1110\/(-50) + (-1)\/(-5). Let j = o + 40. Calculate the greatest common factor of j and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3120 = -v, -3*w + 3*v - 767 = -4*w. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 146 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6131160?\nAnswer: 2, 3, 5, 7, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 9. Let m = -4 - x. Which is the biggest value? (a) 1 (b) 1\/4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-1096)*24\/(-4))\/((-5)\/(-60)*-9).\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*t - 10*t**2 - 15*t.\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 41*k**2 - 42*k + 83. Suppose 3*y = 12 - 132. Is x(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273 = -4*f - 5*k + 272, -3*f - 4*k = -k for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = -4*b - 0*m - 3*m, 2 = -2*m. Calculate the highest common divisor of 208 and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(6\/13))\/((-10)\/(-20)). Suppose 17 + k = -3*b. What are the prime factors of (-15)\/25 + (-866)\/b?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 - -4) + 11 + -4. Solve t = -5*f - 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-22488)\/96)\/((-1)\/28) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 0, 1.7, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/11 - 40*n**2\/11 + 206*n\/11 - 312\/11.\nAnswer: 2*(n - 13)*(n - 4)*(n - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.0029, -38, -3, -5, 1\/9.\nAnswer: -38, -5, -3, 0.0029, 1\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**3 - 2*g**2 - g + 3. Let t be o(-5). Suppose x + t = 3*x. What is the units digit of x\/(-12)*-3 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c**3 - 15*c**2 - 19*c + 17. Let t(u) = u**3 + u**2 + u. Let h(j) = g(j) + 4*t(j). Determine h(12).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27*y**2 + 457 + 223651*y - 223651*y wrt y?\nAnswer: -54*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 4. Let k = -8 + 4. Let j be r(k). Let p = 9 + -5. Put -7, p, j in increasing order.\nAnswer: -7, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, v: 3, g: 7, k: 4}. What is prob of picking 1 g and 2 k?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 14. Suppose -3*w + 25 = g - 43, -4*w + 80 = a*g. Suppose 14 = 4*x - 0*z - 2*z, -x = 5*z + w. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78 - -4 - (10 - (-13 + -11 - -17))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*u + 3*h, 28 = 5*u - 3*h - 4. Let x be 0\/(-3) - u\/8. Let w = -1\/6 - -17\/30. Put x, -3, w in descending order.\nAnswer: w, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/((-2)\/(-1)))\/((-3)\/(-16)). Suppose -2 = -4*h + u + y, -h - 2*u = 0. What is the units digit of 111 + -4 + h + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, p: 4, f: 1, x: 5}. What is prob of sequence ppp?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of 17*i**4\/24 + 10*i**2. What is u(-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+282\nAnswer: 282.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(72) + 2) - 3*(-1*sqrt(72) - sqrt(72))) + 4 + (sqrt(72) + 0 + -5 - sqrt(72)) + 0)**2.\nAnswer: 1584*sqrt(2) + 10489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -77*o**2*v**3 - 70224*o**2*v**2 + v**3 - 33*v**2 + 71*v + 70 with respect to o.\nAnswer: -154*o*v**3 - 140448*o*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -763492 + -5?\nAnswer: -763497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270 = 3*d + 3*g, -d = -4*d + 4*g + 256. Suppose -3*z - 31 + 10 = -3*u, 0 = z - 1. What is the highest common factor of d and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/12475 and 67\/22455.\nAnswer: 112275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 2*k + 4, 4*v - 3*k - 8*k = -53 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-30)\/44 - 5*(-8)\/80. Put 1\/6, b, 0.3 in descending order.\nAnswer: 0.3, 1\/6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34151872 and 414?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1840415?\nAnswer: 5, 368083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 4 + 4 + 266*n + 3 - 4.\nAnswer: 266*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 41625093 to the power of 1\/2, to the nearest integer?\nAnswer: 6452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) 0 (b) -0.5 (c) -0.1 (d) 9\/5 (e) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 36 = 4*n - 6*b, n = -4*b + 20. Suppose 0 = t - n*u - 63, 4*u - 2*u = t - 55. What is the common denominator of t and 17\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 5 + 10*g**2 - 6*g**2 - 6*g**2. Let h(b) be the first derivative of b**3\/3 - 2. Give h(t(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hqhhhxkhhhhhh. Give prob of picking 2 h and 1 k.\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11011031 (base 4) to base 9\nAnswer: -31485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95400 and 126000?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -93 divided by -2\nAnswer: 93\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2313 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -145*p**2\/2 + 2629. Let d(l) = -4*l. What is n(d(i))?\nAnswer: 580*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 + -7. List the prime factors of q.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 4*m - 18 = 0, -3*v - 3*m + 27 = -6*m for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 8:27 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 17, 8, -3, -16, -31?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m - 7. Let y be w(5). Suppose q - 25 = 4*f, -y*q + 5*q + 2*f = 0. Is ((-115)\/4)\/(q\/(-20)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 726.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-2 - 3)*2. Suppose -o = 3*n - 1, -3*o - 6 = t*n - 19. Solve -2*l = -o*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 3*u - 2*u)*(-u + u - u)*(-3 + 2*u + u - 5*u).\nAnswer: -4*u**3 - 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*s = -57*s + 570. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0709 and 0.2?\nAnswer: -0.01418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = -3*x - 8*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -14*a**2 + 4*a + 5. Let o be b(0). Solve -4*k + 5*p = -o, 3*k + k + 40 = -4*p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114 + -422?\nAnswer: -1041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 3*v + 30, 8 = v - 6*q + 9*q + 2*q for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 4:16 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-4)\/4)*2\/(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 16*n**3 + n**2 + n - 2. What is the units digit of l(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -15. Let y be 44 + 3\/(-3)*n. Suppose -4*g + 142 = -y. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 7 - (-114 - -106)) + 13?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39431*f**4 + 92*f**2 - 88.\nAnswer: -946344*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 15*o**2 + 13*o - 15. Let z = 2 + 4. Suppose 8*v = 4*v + 44. Let l(i) = -8*i**2 - 7*i + 8. Calculate v*l(y) + z*c(y).\nAnswer: 2*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -22445534 (base 6) to base 10\nAnswer: -690754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**4 + 4*a**3 - 4*a**3)*(4*a - 6*a + 3*a) - 11*a**5 + 42*a**5 + 9*a**5 + 2*a**5 + 2*a**5 - 6*a**5.\nAnswer: 36*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1904445?\nAnswer: 3, 5, 14107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 5, -10, -73, -176, 2 in ascending order.\nAnswer: -176, -73, -10, -5, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3449*z - 3474*z + 575 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**3 + 31*w**2 - 45*w + 44. Let d be g(14). Factor -3\/4*q**d + 9\/4 + 3\/2*q.\nAnswer: -3*(q - 3)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*d - 486*d = 171*d + 6071 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 + -1)*407\/(-33). Suppose 18047 = -5*m - 3*t, m = -75*t + k*t - 3609. What is m rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c\/c**(-6)))\/c*c*c**(-2\/3)\/c*c*(c*c*c**(-2))\/c**(-2\/19)*(c**1)**39\/(((c\/c**3)\/c)\/(c\/(c**0\/c))) assuming c is positive.\nAnswer: c**(2077\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**2*l*y - 7*c**2*y**3 - 2*c**2*y**2 + 6*c*l + 3*c + 497964*l*y**3 - 5*l*y**2 - 58*y**2 wrt y?\nAnswer: -42*c**2 + 2987784*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -125 + -4551026.\nAnswer: -4551151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 935.\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -0.1, -5, 0.2, -4\/17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/10 and -61\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 14*y**2 - 14*y - 14. Calculate b(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2120102 - -20?\nAnswer: -2120012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10744 and 800?\nAnswer: 1074400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2. Let r(i) = -50*i - 9. Let p(f) = 17*f + 3. Let o = 37 - 26. Let x(l) = o*p(l) + 4*r(l). Give x(s(y)).\nAnswer: 26*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 712*w**2 - 4256*w + 5627. Determine h(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l*l**(-3))\/l*l*l)\/l*l**6)**49 assuming l is positive.\nAnswer: l**245","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**3*p**6 - 26*h**3 + 14*h**2*p**2 - h*p**2 + 2*p**6 wrt p?\nAnswer: 240*h**3*p**3 + 240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -8*i**2 + 5. Suppose 0 = -2*j - 2*j + 2*h + 66, -3*h - 9 = 0. Suppose r + 6 = -j. Let c = -16 - r. Let z(v) = 33*v**2 - 21. Give c*z(t) + 21*a(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 222897312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -7*m - 1 + 2*m + 4*m. Suppose -1 = 4*k - 5. Let f = 8 + -2. Let w(r) = 2*r**3 + 6*r + 6. Determine f*p(a) + k*w(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 25751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -157\/4, 0, 2\/45, 3\/7, 3\/4, 2\/3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18644 + 10091 = 7*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 6448, -856.\nAnswer: -856, -6, 6448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20536?\nAnswer: 2, 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*t - 10. Is t\/4 - (-13)\/(182\/177233) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 4 - (-18 - -27).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10225 + 2440135?\nAnswer: 2450404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8cc128 (base 14) to base 8.\nAnswer: -22230510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 3*n, 5*m + 24*n = 19*n - 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*b - 10 - 34 = 0, -239 = 5*a + b. Let g = a - -246\/5. Which is smaller: g or 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 3489051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 47206470 times 0.5\nAnswer: 23603235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*g = -3249 + 4272 + 1590 for g.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -5. Let j = -4 - x. Which is the nearest to -0.1? (a) 0 (b) 0.5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -142842, -285668, -428498, -571338, -714194, -857072, -999978?\n\"Answer: -f**3 + 4*f**2 - 142831*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/(h*((h*h*h*((h**(-2\/7)\/h)\/h)\/h*h)\/h)\/h*h))\/h*h)\/h)**(-37)\/(h\/(h\/(h\/h**5))*h**(1\/21)) assuming h is positive.\nAnswer: h**(-139\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v\/(v\/(v*v**10)*v))\/v)\/(v*v**(-3\/5)\/v))\/((v**(-1\/9)\/v)\/(v\/v**(2\/3))) assuming v is positive.\nAnswer: v**(587\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503 is divided by 471?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-9))\/((-2332)\/136620*-23 - 2\/5)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.9123092 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*k - 52, k - 3*k - 44 = -2*s. Calculate the lowest common multiple of 8 and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 144*b**2 - 145*b**2 + 2*b + 0*b.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**3 - 144*l**2 + 1590*l - 17. What is p(17)?\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 500342127 to the power of 1\/3, to the nearest integer?\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137, -269, -387, -485, -557, -597?\nAnswer: -599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 77*a**2 + 32*a**2 - 1.\nAnswer: 109*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 174831 and 50803.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 9 - 1 = 0, -2*g = -l + 24. Let c(k) = -5 - k**2 - 79*k + 66*k + 9. Is 19 a factor of c(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -30*p + 28*p. Factor c**5 - 2*c**4 - 4 + c**3 - 12*c - 11*c**2 - 2*c**3 + 5*c**p.\nAnswer: (c - 2)*(c + 1)**3*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uujj when four letters picked without replacement from {u: 4, j: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 26 - (1 - (0 + 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 164072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6452, -6441, -6436, -6437, -6444, -6457?\n\"Answer: -3*k**2 + 20*k - 6469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 133406701 to the power of 1\/2, to the nearest integer?\nAnswer: 11550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -32*d - 19. Let l be y(-3). What is the highest common divisor of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5759241377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 11 + 1, 5*t = -5*j - 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -55032087?\nAnswer: 55032100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2502 or -2504?\nAnswer: -2504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 20 = k, 5*i - 20 = 4*k - 0. Let v be (15 - (-611)\/(-39))\/((-1)\/12) - 1. Solve 0 = v*t - i*t - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5*g + 91 = 0, -a + 4 + 40 = -3*g. Let q = 14 - a. Let p = q - -29. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**2*r**2*x**2 - 167*k**2*x**2 + 32*k*r*x**2 + k*r*x - 2*r**2*x wrt k.\nAnswer: 2*r**2*x**2 - 334*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 10121\nAnswer: 4048.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 (base 5) in base 8?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-26)\/(-221) + 25*(-6)\/408. What is the closest to 428 in 0.5, g, 1\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4422022 is divided by 1017.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16744415 a multiple of 312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/8797568 or 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 22*n**2 + 181*n - 13. What is the lowest common multiple of m(-4) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, q: 2, b: 2, s: 2}. Give prob of sequence ssrr.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-14\/5)\/i*i)\/i)**50*i**(-16)\/i**(1\/9) assuming i is positive.\nAnswer: i**(-1855\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(-5)*v*v**(-8) assuming v is positive.\nAnswer: 1\/v","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a day in minutes?\nAnswer: 15120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5c914 - 17?\nAnswer: -5c92b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (6 - 2) - (-8 - 1). What is the tens digit of (594\/c)\/(-1 + (1 - -1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002 (base 4) in base 6?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2479436 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**(-1\/5)\/((u*u**(2\/5))\/u)**(3\/14) assuming u is positive.\nAnswer: u**(4\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 22*g**2 + 3*g - 3. Let v(o) = 2863*o**2 + 388*o - 399. Let q(x) = -953*x**2 - 129*x + 133. Let j(h) = -11*q(h) - 4*v(h). Give -133*i(r) - 3*j(r).\nAnswer: -19*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.12 - 0.08. Let y = 0.04 - f. Let a be 1 + -2 - (-7)\/9. Sort 5, a, y in descending order.\nAnswer: 5, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(-1)\/6*2. Suppose -3*a = -3*b + 12, -5*b + 17 = a - 3. Let n be o*(0 - a)\/3. Solve -p - p = n for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*z - 45. Calculate the remainder when 41 is divided by z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.8 - 0.3. Let v = 3.45 - d. Sort -1\/4, v, 0 in ascending order.\nAnswer: -1\/4, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y + 6*y - 110887 + 11143. Calculate the lowest common multiple of y and 12.\nAnswer: 24936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 213\/((-46860)\/(-1210))*404\/(-22).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 29. Let h be 26\/(-22)*-1 + -1. Which is the third biggest value? (a) -1 (b) h (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b**2*h**2*t + 2*b**2*t + 92*b**2 - 2*h**2*t - 10*h**2 - 2*h wrt b.\nAnswer: -2*b*h**2*t + 4*b*t + 184*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026966823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in -6\/5, 4, -0.08, -2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2. Let w(s) = 1048224*s - 24156. Let n(m) = -1952*m + 45. Let i(t) = 2684*n(t) + 5*w(t). Give y(i(a)).\nAnswer: -3810304*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)\/(sqrt(8)*4*2) - (1 + sqrt(45)*1 + -5))*6)**2.\nAnswer: -756*sqrt(5) + 29061\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-18)\/(-2) - -2) + -1. Let g = -6 + i. Suppose -129 = -2*h + x, -40 + 221 = 3*h - g*x. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 1, -4 in descending order.\nAnswer: 4, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbabbbbab. What is prob of picking 1 b and 2 a?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/4))**(-47)*i\/(i*i**(-2\/11)*i)*i*i*i\/i**4)**(-1\/4) assuming i is positive.\nAnswer: i**(597\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -5*t**2 + 510*t + 1575 = 0.\nAnswer: -3, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-3))\/(2\/(-24)). Let m = 1 + a. Suppose 3*l + l = 3*k - 251, 0 = -m*k - l + 380. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i*i*i**(-10)*i))\/(((i\/(i*i*i*i**(-2\/15)))\/i*i)\/i))\/(i*i**(-2\/23)\/i*i*i*i*(i*i**8)\/i) assuming i is positive.\nAnswer: i**(-361\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 630, -5199, -23952, -62091, -126078, -222375?\n\"Answer: -1077*q**3 + 1710*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*a**2 + 22146*a - 323683 wrt a?\nAnswer: 8*a + 22146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57204?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 27147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (22\/(-3))\/(5\/15). Let b = j + 42. Let l be 1 + (-1)\/((-2)\/78). What is the greatest common divisor of l and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 7 + -12 + -10 + -9?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 297\/630 - 8\/14\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -f + 436, 22*f - 20*f - 218 = -2*t. Solve -4*q + 93 = t for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 120 = 5*f, 3*t + 7 = -2*f + 75. Calculate the greatest common factor of 16 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120 by 6.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + (-46 - -1))*-1. Suppose t - 6*t + 2*w + r = 0, -5*t + 44 = -w. What is the remainder when (174\/t)\/((-2)\/(-3)) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (-29 - (-1 - -1)). Let y(q) = 5*q**2 - 45*q + 45. Let v = 517 + -509. Let d be y(v). Put 4, m, d in descending order.\nAnswer: d, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 15*d + 95 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/17))\/a*a*a**(-1\/13)*(a*a**(2\/7))\/a*a**(-8))\/(a**3*a*a*a**(-8)*a*a*a*a**(-3\/7)*(a*a*(a\/a**(2\/21))\/a)\/a) assuming a is positive.\nAnswer: a**(-33182\/4641)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2699*m - 27023. Give d(-10).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -617, -10.9?\nAnswer: -10.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7706 and -404.\nAnswer: -3113224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.065 times -20.743?\nAnswer: -1.348295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1772243281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**5\/11 - 826*c**4\/11 + 85694*c**3\/11 - 84046*c**2\/11 - 85696*c\/11 + 84872\/11 = 0. What is c?\nAnswer: -1, 1, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2610 (base 11) to base 12.\nAnswer: 1b73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**5\/5 - 65*t**4 + 654*t**3\/5 = 0. Calculate t.\nAnswer: -327, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -362210302 by -2.\nAnswer: 181105151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4748 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3\/2 - 1480*z**2 + 166315*z\/2 + 84640.\nAnswer: 5*(z - 529)*(z - 64)*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 4*s - 40, 0 = f + 5*s - 1 - 9. Let l be 2\/f - 18\/(-10). Suppose -11*c + 46 = l. Solve 3*a + 8 + c = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 11 = -3*v, -5*v = -91*d + 88*d - 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 = -t - w, -6*t = -2*t + 2*w - 684. Let z = t - -130. Let q = z + 32. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 15*l**2 - 14*l + 5. Let s be x(14). Suppose 0 = 4*j - 2*q + 56, s*j - 2*q = 3*j - 28. Let a(d) = -6*d - 4. List the prime factors of a(j).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0806 * -0.14.\nAnswer: 0.011284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209*p + 352*p - 556*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 10*h**2 + 7*h - 11. Let v be w(-5). Suppose 0 = a + 2*a - v. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 772685, 1545353, 2318021, 3090689?\n\"Answer: 772668*i + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19046967 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*y = -35*y + 12896. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u - 1239 = 9*u. What are the prime factors of u?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 93755 - -122567. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 14297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92 - 92 - 13011*u + 35409*u.\nAnswer: 22398*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1011111010001011110000 (base 2) to base 8\nAnswer: -13721360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + h + 2. Let n be f(2). Suppose -9*d + 61 = -29. Solve 3*p - j - d = -0*j, -5*p + 5*j = n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35479110 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: What is the next term in -13, -24, -29, -28, -21?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**3\/3 + 3*v**2 + 4*v + 1. Let f(c) = c**2 + 30*c + 249. Let a be f(-9). Suppose -a*t + 65 = -47*t. What is q(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*y = -136*y - 18. Solve 19*f = 28*f - y for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 76.97 and -8.\nAnswer: 68.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 58 - 343?\nAnswer: -2eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*b - 21 - 6, -b + 8 = f. Suppose f*w = 2*w + 48. Suppose 0 = -3*q + 3*c + w, 3*c = 2*q - 2*c - 26. Does 18 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and 1.572426.\nAnswer: 9.434556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8105?\nAnswer: 5, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*f**4*z + 99*f**2*z + 4*f*z + 4660*z wrt f?\nAnswer: 12*f**3*z + 198*f*z + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -10, -3*m + 6*n = n - 49. Suppose -j - m = -35. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - d = 5*o + 6, -5*o + 10 = 0. Which is the biggest value? (a) -3\/5 (b) 0 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 - 6 - 7)*(2*i + 3*i - 4*i + (1 + 2 - 2)*(-4 + 4 + 3)*(-i - 4*i + 46*i)) to u + g*i and give g.\nAnswer: -3224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211010122 + -20020220?\nAnswer: 120212202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 112482910 to the power of 1\/2, to the nearest integer?\nAnswer: 10606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 14*j**2 + 2*j - 20. Let o be b(14). Solve -20 = o*m - 3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, k: 2, e: 2, d: 2, j: 2, p: 4}. Give prob of sequence dekk.\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -81*s + 99*s + 79*s - 2 + 2 + 2*s + (-5*s + s + 2*s)*(-1 + 1 - 2).\nAnswer: 103*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30250)\/(-75))\/55*9\/(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - k = 533 - 496, 0 = 4*k + 8 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j + 1. Let c(t) be the third derivative of -t**4\/12 - t**3\/3 + 5*t**2. Let y(o) = o + 0 - 2 - 1 + 2. Let l be y(10). Determine l*n(z) + 4*c(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -106519800 to the nearest one hundred thousand.\nAnswer: -106500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 280*a**2 + 7497*a - 1694. Determine t(-27).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s\/(s\/(s*s**(-2\/17)*s)))*s**15\/s assuming s is positive.\nAnswer: s**(240\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 9*b - 2. Let w(g) = -2*g - 25. Let a be w(-8). Let p be d(a). Let j(l) = 4*l + 2. Determine j(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.4*-0.10858\nAnswer: 1.129232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2687916004.\nAnswer: 2, 671979001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 25*a**2 + 10. Let k be r(21). Let h = -908 - k. What are the prime factors of h?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477 is divided by 241?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 142 or 141?\nAnswer: 141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -9. Let n be (1\/((-6)\/440))\/(1\/(-480)). Suppose v*r - r + n = 0. Round r to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 3*j + 2*k = -12, -5*j = 3*k + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 127 in 3, 0, -5, 318?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 693*d**2 - 63653*d - 1764. Give c(584).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5198*w - 2601*w - 370804*w**3 - 2597*w.\nAnswer: -370804*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -7*x - 0*x. Suppose -20 = -4*f - 4*u, x = -5*u + 6*u - 4. Which is the biggest value? (a) 5\/3 (b) -1\/9 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4\/821 + -8294\/17241. Let o = r - -1\/7. Which is the smallest value? (a) -2\/7 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 186\/(-10) - (-14)\/(-35). Let a be -250*(36\/8 - 4). Let v = x - a. Does 20 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4 - 7\/(630\/325) and -83\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -280 (base 11) in base 13?\nAnswer: -1c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 9*q**2 - 7*q - 6. Let b be i(6). Suppose 0 = 4*g - 5*w + 9, 5*g - b = -5*w - 15. What is the derivative of -12*n**g - 86 - 90 + 178 wrt n?\nAnswer: -48*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -75809, 1, 0.3 in decreasing order.\nAnswer: 1, 2\/5, 0.3, -75809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, 10.4, 10.485?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**4 - 48*s**2 - 464*s**2 + s**3 - 237 + 510*s**2 - 3*s to b + c*s**2 + q*s + n*s**3 + a*s**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 0*i - 2*i)*(3*i + 2*i**3 - 3*i)*(-5*i - i - 6*i).\nAnswer: 24*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1862 and 630?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + i - 1. Let z = -7 + 10. Suppose v - z = -0*v. Suppose t + 2*t = -v. Let d(w) = 2*w**3 - w**2 - w + 2. Determine t*r(j) - d(j).\nAnswer: -2*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 76.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -1869?\nAnswer: -9345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -963, -3569, -8653, -17043, -29567, -47053, -70329?\nAnswer: -100223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*t + 3*g = 90, -345*t = -693*t + 344*t + 2*g - 24 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 939*z + 9646 = -22280 for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4685830 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 88426\/21 + -4214. What is the common denominator of -5 + 2961\/270 - (1 + -1) and y?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 - (-103 - -49) - 53.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, o: 2, z: 2, a: 1, c: 4}. Give prob of sequence aoo.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 97, 151, 207, 265?\nAnswer: 325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 264 and 312?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, -8, -29, -54, -83?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13611 less than 59489765?\nAnswer: 59503376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 9*s**3 - 24*s**2 + 52*s - 10. Let n(h) = -h + 7*h**2 + h + h**3 + 9 - 5*h. Calculate the remainder when w(3) is divided by n(-7).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + 3*m**2 - 2*m**2)*(3*m - 3*m + m**2) + (-m - m + 0*m)*(2*m**3 + 3*m**3 - 3*m**3) - 3*m**4 + m**4 + m**4.\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2 + s + 0*s - 2*s + s**2. Let x be i(-3). Let n be 70\/28*x\/(-5). Solve -a = -n*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 668b (base 15) in base 4?\nAnswer: 11103203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252280 = -8*v - 4*o, -v - 9*o + 11*o + 31545 = 0. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -244 (c) -0.3 (d) -1\/5 (e) 50\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/4 - (-3276)\/16?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5 = 2*q - 13, 0 = -2*l + 4*q + 36. Let y = 19 + -24. Let c(s) = -3*s - 1. What is the smallest common multiple of c(y) and l?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 7. Let m be u(8). What is the units digit of 2\/4*1\/m*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -17 - (2 + -4 + 0). Let z(b) = b**3 + 16*b**2 + 15*b + 3. Let m be z(r). Let c be m\/1 - 5\/1. Put -3, 4, c in decreasing order.\nAnswer: 4, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 2*v + 5, -5*f - 10*v = -5*v. Solve -f*p + 4 = -1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 - -77 - (-4 - (0 + -3) - (-3 + 50))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1708499568 divided by -6.\nAnswer: 284749928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13280, -13102, -12920, -12734, -12544?\nAnswer: -12350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -742*f - 710*f + 5573 - 33433 = -59*f for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 2 + -64 + 74.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**8\/1680 - l**5\/40 + l**3\/6 + l**2. Let c(v) be the first derivative of b(v). Find the second derivative of c(d) wrt d.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7898, -15821, -23744, -31667, -39590?\nAnswer: -47513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2141614 to the nearest integer?\nAnswer: 1463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + m = 18. Let z(o) = 17*o - 4. Suppose -15 = -5*l, 0*l - 4*l = t - 21. Calculate the remainder when z(m) is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2 + 1 - 4. Let l(b) = -2*b + 2. Give 4*c(m) + 2*l(m).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j = 18*j - 195. Is -66 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 - -3.97. Let d be (-20)\/21 - (-442)\/1547. What is the second biggest value in d, q, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pyy when three letters picked without replacement from {y: 2, p: 1, q: 2, n: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -r**4 - 11*r**3\/3 - 192. What is the third derivative of o(u) wrt u?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) 2 (b) 4 (c) -1\/14 (d) 1059\/29 (e) 8\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1367300 * -7.1\nAnswer: -9707830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 5*c**2 + c + 11. What is the hundreds digit of q(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 1. Let u(q) = -8*q**2 - 7*q - 8. Give -6*o(m) - u(m).\nAnswer: 8*m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -7*l**2 - 35418*l - 1614422. Determine z(-46).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4338\/45 - (-2)\/(-5). Suppose -3*y + n = -12. Is y a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j*j**6)\/j*j)**(-2\/7)*j*j\/(j*j**(-3\/16)\/j)*j*j**(-19)\/j*j*j assuming j is positive.\nAnswer: j**(-1915\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 686631006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 5*v**2 + 11*v + 34. Let g be m(-6). Let z(k) be the first derivative of g + 4\/11*k + 2\/33*k**3 - 3\/11*k**2. Solve z(x) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15393.\nAnswer: 3, 7, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four sevenths of a week?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40.2 - -1089.8. Let t = g - 1114.02. What is t rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -109684 and 2.1.\nAnswer: -230336.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14296.8 + -14298. Let m = 69 - 137\/2. What is the second biggest value in p, 20, m, -2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of 97*y**3\/2 + 78*y**2 + 16*y - 12. What is the derivative of k(l) wrt l?\nAnswer: 291","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/34491 and 131\/60.\nAnswer: 689820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/(72960\/(-96))*-65\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*x = -5 - 34, -3*x + 9 = 0. Which is smaller: i or 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*a**3 + 27260*a**2 + 36300*a - 36320.\nAnswer: 5*(a + 2)*(a + 1816)*(3*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and 97.8368?\nAnswer: 100.8368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -4, 1\/11, 4, 3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40687 + -25508. Suppose -q = -8*t - 5475. What are the prime factors of t?\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 47, 1, 462.\nAnswer: -4, 1, 47, 462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 8, f + 1 = -3*d + 2636. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1.2 (b) -26\/13087 (c) -2\/3 (d) -0.2 (e) 3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/(-90))\/(-5 + -14)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 v, and 1 j when three letters picked without replacement from kkykkhekejjve?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a = 7*a + 30. Suppose 0 = a*m - 9 - 15. Let w(f) = 4 - f + 7 - 3 - m. What is w(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9058, 18113, 27166, 36217, 45266?\nAnswer: 54313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.1 + 0.1. Let v = h - -8. Let r = v - 6. What is the third biggest value in r, -4, -2\/19?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**5 + 146*a**4 - 3599*a**3 + 16560*a**2 + 44496*a + 24192 = 0. Calculate a.\nAnswer: -168, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -93 times 678654\nAnswer: -63114822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 4646 = 2938. Is 16 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = a + s, 2*a = 4*s + 5 + 9. Let k be 13 + (-1 + -1 - a). Suppose o + j = -j + k, -5*o = 4*j - 66. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -141*h + 140*h + 201. Let i = h - 587\/3. Suppose i + 1\/3*s**2 + 8\/3*s = 0. Calculate s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqkkqk. Give prob of picking 2 k.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 2:28 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p + 351. Let h(d) = 6*d - 3*d - 2*d - 4*d. Give h(l(a)).\nAnswer: 6*a - 1053","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7787 - 7785. Put 3, p, 1, 56 in descending order.\nAnswer: 56, 3, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -14) + -50 + 14 + -1?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3936644 divided by -9029?\nAnswer: -436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (157\/1256)\/(2 - (-13)\/(-6)). Let l(s) = -s**2 + 7*s - 2. Let k be l(6). Let r = 0.4 - -0.1. What is the third biggest value in r, i, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 119*c*v**3 + 38*c - 2*v**2 wrt v.\nAnswer: 357*c*v**2 - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7\/8 of a microsecond?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 151 in 0.2, -0.3, -0.0686?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.3037 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 242192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -583*c**2. Let r(b) = -2*b - 64. Let z(x) = 33*x + 1008. Let n(k) = -63*r(k) - 4*z(k). Determine n(g(m)).\nAnswer: 3498*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4531030957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2\/3, 32.731, 1 in decreasing order.\nAnswer: 32.731, 5, 1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6402\/5 or 1280?\nAnswer: 6402\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*k - 6 = -2*w, -2*w - 3*k = -22. Suppose 440*n + 3003 = 447*n. Suppose -5*f + 543 = v, v = -f + w*f - n. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1240357.6225+1\nAnswer: -1240356.6225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -14528 equal to 4204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*o + 16 - 16 + (125 + 122 - 20)*(-3*o + o + 3*o).\nAnswer: 239*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(170))\/(sqrt(50)\/sqrt(5)*3 - sqrt(10)) - -5*(sqrt(119)\/(sqrt(21)\/sqrt(3)) + (sqrt(17) - sqrt(68)\/sqrt(4)*1)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -293 (b) 0 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 30*k**3 - 16*k - 16. Let y(t) = -t + 0 + 0 - 2*t + 6*t**3 - 3. Calculate 3*s(a) - 16*y(a).\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-16)*m**19)\/(m**(13\/2)*m*m*m**12) assuming m is positive.\nAnswer: m**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63794535?\nAnswer: 3, 5, 7, 467, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-6))\/(1\/(-2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 24*f**2 + f + 43. Let a be c(22). Let x = 277 - a. What are the prime factors of x?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49 + 43)*3\/9*18\/4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51 + -53.02. Let m = -2.26 + c. Let k = 4.5 + m. What is k rounded to two decimal places?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + l = -2*p + 126, -4*p - 101 = -l. Calculate the remainder when (-15)\/p - (-276)\/15 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 5*w**4\/12 + 4*w**3\/3 - w. Let h(r) be the first derivative of 1\/2*r**2 + 1\/3*r**3 + 0*r + 2. Determine -6*h(p) + l(p).\nAnswer: -p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 451 - 133*c + 189*c - 802*c - 878*c + 1567 wrt c?\nAnswer: -1624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 319 - -5112?\nAnswer: 542b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 o when three letters picked without replacement from ooiioooo.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 111 + -159. Let l = r + 61. Let q = 161 + -96. Calculate the highest common divisor of q and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6*b**2. Suppose -5 = 5*i + 5*u, -3*i - 44*u + 43*u = -3. Let t(j) be the first derivative of 3\/2*j**i + 0*j - 11. Give o(t(f)).\nAnswer: 54*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 10431?\nAnswer: 10433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -26. Let m = 1 - 1.1. Let r = m - -0.2. Put r, 0.3, k in descending order.\nAnswer: 0.3, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -4*i + 179. Let u = 78 - i. Suppose 0 = 3*k - u - 77. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 a when two letters picked without replacement from aavuvu?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3973, -3636, -3277, -2884, -2445, -1948, -1381, -732?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 22 = -5*p, p = 5*a - 25 + 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (9 + -13)*(-101)\/2?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17 and 22265818?\nAnswer: 22265818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 * 41993\nAnswer: 4619.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - 91 - 189. Suppose x*t = 34*t + 13902. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**2 + 3*n**2 + 4*n**2)*(-n**3 - 4*n**3 + 3*n**3) + (-29*n**4 - 96*n**4 + 34*n**4)*(2*n + 4 - 4) + n**5 - 3*n**5 + 4*n**5.\nAnswer: -184*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -1554*h - 97. Is j(-23) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -28*i**2 + 479*i - 46. Let h be j(17). Suppose -4*z + 4 = -3*z. Solve -h*v - 16 = z for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -1\/5*r**5 + 0*r**2 + 2 + 30*r**3 + 44\/3*r**4 + 8*r. Factor w(l).\nAnswer: -4*l*(l - 45)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*g + 27 - 23, -5*g - 8 = 3*k. Let w = 0 + -0.7. Let h = -0.69 - w. Which is the third biggest value? (a) g (b) 0.2 (c) -1\/6 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 90\/79, 29, 2, 3.\nAnswer: -4, 90\/79, 2, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -0.3816?\nAnswer: 1.908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 22 = 3*k, -2*d = 25*k - 23*k - 2*d - 3*d + 44 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-2\/3))**(-1\/2)\/(k**(1\/2))**(-48) assuming k is positive.\nAnswer: k**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8194617 equal to 8194601?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 16*a**2 - 14*a - 12. Suppose 0 = 3*l - 4 + 7. Let s be -13 - (l - (-1 + 0)). Is c(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3\/4 + 62649*l**2\/2 + 327106089*l + 654086886.\nAnswer: 3*(l + 2)*(l + 20882)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -5. Let q = -31 + 31.3. Which is the closest to -1\/3? (a) g (b) 0.4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4545520, 2, -2, 0 in descending order.\nAnswer: 5, 2, 0, -2, -4545520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + 2 + 12*1. Sort 5, 1\/4, 1\/2, u in decreasing order.\nAnswer: u, 5, 1\/2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56151078*d**3 + 56151079*d**3 + 53*d + 9*d.\nAnswer: d**3 + 62*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 61441781 to the power of 1\/2, to the nearest integer?\nAnswer: 7838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 8:02 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 5:44 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339033?\nAnswer: 3, 113011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*a*h**4*v - 4*a*v - 5*v wrt h.\nAnswer: 60*a*h**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 743943915 divided by 148788783.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4093481122.\nAnswer: 2, 2046740561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a - 7. Let b be x(-7). Let n = b - 2. Factor -n + 5 - p**2 - p.\nAnswer: -p*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -334 - -330. Let x(r) be the second derivative of 3*r**3\/2 + r**2\/2 - 2*r - 13. Determine x(b).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -557*a**2 + 5*a + 2609. Let c(h) = -558*h**2 + 5*h + 2609. Let b(s) = 2*c(s) - 3*r(s). What is the derivative of b(q) wrt q?\nAnswer: 1110*q - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1262 = -23*u + 4712. Let s = 269 - u. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-4)*(-5327)\/(-11415)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -6 - 9 + l - 6 - 9 + 31. Let c = -2 - 2. Let z(h) = h**2 - 7*h + 2. Let d(b) = c*r(b) - z(b). Calculate d(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o = -16*o - 50. Let a(h) = -h**3 + 9*h**2 + 14*h. What is the remainder when a(o) is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p - 61. Let n be q(-12). Let a(z) = -2 - 2*z**3 + 2*z**3 - 18*z**3 - 2*z. Let s be a(n). Calculate the highest common factor of 6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4343)\/((-6060)\/60) + -70.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 2*o. Suppose f + 141 = 2*c - o*f, -c + 73 = -3*f. Calculate the highest common factor of 14 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 11\/4 of a day?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -570057, -570010, -569805, -569364, -568609, -567462, -565845?\nAnswer: -563680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.2068467s?\nAnswer: 206.8467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**5\/4 - 831*r**4\/4 + 171387*r**3\/4 + 521667*r**2\/4 = 0.\nAnswer: -3, 0, 417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 6*g + 1. Give z(-4).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -101010011 (base 2) in base 15?\nAnswer: -179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28684?\nAnswer: 2, 71, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - s**2 - 2. Suppose 2 = -4*d + 5*d. Let w be h(d). Suppose -t + w*t = 158. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -4. Let q be (z - 0)\/(1\/2). Suppose -4*h - 4*m = -q, -5*h + 4*m - 2*m = -33. Let g(a) = -a**2 + 4*a + 3. Determine g(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - (sqrt(153) + (-2 + sqrt(153))*-1) - sqrt(187)\/((sqrt(110) - (sqrt(110) + sqrt(110)*-2 + sqrt(110)))\/sqrt(10)))**2 + -2.\nAnswer: -8*sqrt(17) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 103471 = -u - 4*u, 0 = 2*n + 5*u - 206882. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/15 (b) -3 (c) 8257\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 17.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 8:57 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(6*(sqrt(343) + (sqrt(343) + 4*-2*sqrt(343) - sqrt(343))) + -5))**2.\nAnswer: 26460*sqrt(7) + 5445693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64)\/352 + -5*336\/(-7546).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -30. Let f(q) = q - 13. Let z(m) = 2*m - 26. Let k(g) = -9*f(g) + 4*z(g). Calculate the smallest common multiple of 11 and k(y).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*d**2*m**2 - d**2*m - 3*d**2*t - 2*d**2 - d*m**3*t + 2*m**2*t - 2 wrt m?\nAnswer: -50*d**2 - 6*d*m*t + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/4)\/(2\/(-12)). Find the third derivative of 3*w**2 + 0*w**2 + x*w**3 - 6*w**3 wrt w.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15 - -23)*(3\/4 + 0). Suppose 5*q = 5*x - 2555, 16 = -2*q + i*q. List the prime factors of x.\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 9*v - 6 - 2*v**2 - 15*v + 12*v. Let m be h(3). Let s be 15\/(-20) + m\/(-8). Solve -3*b + 19 = -4*d, -5*d + 5*b + s*b = 25 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**4\/4 + 483*f**3 + 3867*f**2\/4 + 967*f\/2 = 0.\nAnswer: -1, 0, 1934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -154.22 + 2.22. Let h = 191.56 + -38.02. Let v = h + o. Round v to one decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 517395, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 6*y**2 + 6*y - 4. Let v be z(-7). Let r = 2 - -1. What is the highest common factor of v and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 15*k**3 + 2*k - 2. Let l be r(1). Let t(i) = 3 + 14*i**2 - 3 - l*i**2. Let c(w) = -2*w. Determine c(t(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 589 (b) 0.07 (c) 3 (d) -2\/5 (e) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -b**4\/4 + 142*b**3 - 846*b**2 + 2879*b. Determine x so that m(x) = 0.\nAnswer: 2, 282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 39 = -d. Suppose -d*z + 69 = -10*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.9 + 11.9. Let n = 11 + -9. What is the closest to n in -2, -2\/7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 56 = 5*s - 76 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y**2 - 18. Let b(q) be the second derivative of q**2 - 2*q**2 + 41*q + 52*q - 34*q. Give 18*b(s) - 2*r(s).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66885 and 334425.\nAnswer: 334425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 9:01 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 72854, 145706, 218558, 291410?\n\"Answer: 72852*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 11.0162. Let r = j - -0.9162. Let d be (-2 + 3)\/2*0. Which is the nearest to d? (a) 3\/8 (b) r (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 3*x - 13. Let f be d(7). Let s = f + -7. List the prime factors of 13980\/48 - (-6)\/s.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 * -0.556.\nAnswer: 7.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**2 - t**2 + 2*t**2. Suppose 0 = -9*a + 7*a + 26. Let g(s) = 5*s + 6*s - a*s. Determine q(g(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 56858\/689 equal to 83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 6*j - 2. Let k be x(7). Sort -5, k, 4 in descending order.\nAnswer: k, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141148760155*c - 5*c**2 - 141148760155*c.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22861818011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggngkkgkokoogkk. What is prob of sequence gogn?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/(-12) + 6\/(-24). Let f be (2 - 1)\/(z\/2). Suppose -y + 16 = n, n - 2*n = -f*y - 31. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2*x)*(2 + 0 - 3) + (-2*x - 3*x + 3*x)*(-2 - 3 + 4) - 5*x + 2*x + 4*x - 2*x + 3*x + x in the form w + l*x and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*h**2 + 8*h**3 - 11*h**3 + h**3)*(-12*h + 11*h + 9*h).\nAnswer: -16*h**4 + 72*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 6 + 2 - 4 + 4 + 1 - 2 + 0 + (4 - 2 - 1)*(-1 + 2 + 1) - 4 + 5 - 3 + 0 + 1 - 2 + (3 + 0 - 5)*(-3 + 4 - 4))*(-4 + 2*p + 4).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -792*m + 65*m**2 + 42*m**2 + 781*m to the form w + c*m + i*m**2 and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/(-44))\/((-162)\/891)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -12*j**2 - 394*j + 3168. Give p(-40).\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 3*m**2 + m. Let q be w(3). Suppose q*v - 698 = -5798. What is v rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4*(-7 - -7). What is the closest to 1 in u, 5, -2\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -261385600 divided by -1333600?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*i - 6, -5*o - 3*i + 47 = 0. Suppose 9*d - o*d = -206. What are the prime factors of d?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 818.\nAnswer: 4090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18405 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2128064?\nAnswer: 2, 41, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 + 2900*q + 2904.\nAnswer: -4*(q - 726)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) - sqrt(190)*1*-3)\/(sqrt(810)*1) - (3 + (-3 + sqrt(1216))**2)*5.\nAnswer: -6140 + 2164*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/9 + 1144*v**2\/9 + 28730*v\/9 + 61516\/3.\nAnswer: 2*(v + 13)**2*(v + 546)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 609 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1113 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o**2 - 13*o + 9. Suppose -12*b + 4*b = -72. Let g(a) be the first derivative of a**3\/3 + 3*a**2\/2 - 2*a + 1. Determine b*g(i) + 2*s(i).\nAnswer: i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 13*q**3 + 8*q - 5. Let z(j) = 6*j**3 + 4*j - 2. What is 4*m(y) - 9*z(y)?\nAnswer: -2*y**3 - 4*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -146?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48839071 to the nearest integer?\nAnswer: 6988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*q = 138887 - 149015 for q.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8 - 4177*(-5 - -4)) + -8?\nAnswer: 3, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 - 6304691802\nAnswer: -6304691787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 4*f - 3. Let l be p(4). Let q(s) = 4*s**2 - 9 - 3*s**2 - 6 + 11. Calculate q(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**3 + 37*b**2 - 157*b - 31. Give i(9).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 13 = -3*j, -5*j + 5 = 2*l - 4. Suppose -l*i + 7*i = 90. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8 and 592172.6.\nAnswer: 592180.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(2\/9)*v*v)\/v*v)\/v**(-6))\/(v\/(v*(v**0*v)\/v))**(-1\/21))**(-12) assuming v is positive.\nAnswer: v**(-296\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15129, -15136, -15151, -15174?\nAnswer: -15205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (23 + -17 - -39 - -14)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103 (base 6) to base 3.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 961 + -14357\/15. What is the common denominator of 6\/15 + ((-2973)\/270 - -4) and a?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63228 and 40?\nAnswer: 632280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 3:50 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -19*o - 43 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -5*c**4 + 8835*c**3 - 4430140*c**2 + 657733200*c + 9318778560 = 0.\nAnswer: -13, 372, 1036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3973058275?\nAnswer: 5, 2791, 56941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**5\/20 - g**2. Let y(c) be the third derivative of c**4\/4 - 572*c**2. Determine s(y(f)).\nAnswer: -108*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jacrjnacicnjnnnnn. Give prob of sequence jaia.\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/(-10)*(12 + -7). Let b be 36\/p - -4 - -3. Put -0.06, b, -0.2 in decreasing order.\nAnswer: b, -0.06, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 10. Determine q(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100110000101001100 - 1100110?\nAnswer: -11100110000110110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23389 - 23357. What is the highest common factor of 35232 and b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -12*a**4 - 109*a**3 + 3015*a**2 + 252*a = 0.\nAnswer: -21, -1\/12, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 550 - 457. Is b a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -g**3\/3 - 6*g + 1. Let q be y(0). Let v(s) = -s**2 + 37*s - 1 - 51*s + 6*s - 5. What is v(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 1524564?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 3:17 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7*3*1\/3. Suppose -2*h + r = t, -t - t + 15 = 5*h. Solve -3 = 2*p - h for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 5*j - 14. Give c(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*r - 5*d - 1, -5*r - d + 11 = 0. Solve 0*s + r*s = -2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -19*q**2 + 6*q - 6. Let d(x) = 22*x**2 - 7*x + 7. Let a(u) = -6*d(u) - 7*y(u). Let z(n) be the first derivative of -4*n**3\/3 + 2. Determine z(a(r)).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 - 108. Let b(o) = 5*o**2 + 3*o - 3. Let j(k) = 96*k**2 + 56*k - 56. Let y(l) = i*b(l) + 3*j(l). Let n(m) = m**2. Determine n(y(h)).\nAnswer: 64*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 763820451 to the nearest integer?\nAnswer: 27637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 5:00 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u. Let f(x) = 13797*x - 392. What is f(q(y))?\nAnswer: -13797*y - 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b**3 - 7*b**2 - b - 3. What is i(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -1. Let w(g) = 29*g - 1. Let i(a) = -58*a + 2. Let u(y) = 4*i(y) + 9*w(y). What is the units digit of u(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 116427168?\nAnswer: -23285433.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (0\/((72\/8)\/(-3)))\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + z = -4*z + 15, -4*z - 20 = 0. Let q be (121\/(-1452))\/(((-2)\/(-6))\/1). What is the nearest to b in 1, 0, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1352*i**5*s - i**3*s**3 + 7*i**2 - 3*s**3 wrt i.\nAnswer: 81120*i**2*s - 6*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173, -348, -521, -692?\nAnswer: -861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001305682 rounded to five decimal places?\nAnswer: -0.00131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -30*t + 122. Let n be p(3). Solve -9*r = -n - 13 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -751902, -751898, -751880, -751848?\nAnswer: -751802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 93\/30 - 3 - (-4577)\/230. Suppose -5*s + x = 0, -2*k + 3 = -5*s + 13. Solve -3 - 3 = k*f - 3*l, 5*l - 10 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 57 + 29. Calculate the least common multiple of c and 22.\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (68 + 10 + 20)*(-x + x**2 + x) + 3*x**2 + 4*x - 4*x as y + r*x + u*x**2 and give u.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 8*n**2 - 6*n + 9. Let h be d(-8). Let q = -55 + h. Suppose 7*b = q*b + 55. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2 - 2*n. Let w be k(-1). Suppose -2*l - 2*o + 151 + 243 = w, -5*l + 4*o = -1003. What are the prime factors of l?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.03 - -4.97. Sort 2\/3, 1\/2, i in ascending order.\nAnswer: 1\/2, 2\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -20*z**3 + 2*z + 1. What is the remainder when h(-1) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b + 3026 = 3146 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -13, 110 in decreasing order.\nAnswer: 110, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/20 - -3\/20. Let v = 176.2 + -176.4. Which is smaller: v or b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 100010010?\nAnswer: -100001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -298, -600, -904, -1210, -1518, -1828?\n\"Answer: -w**2 - 299*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -q + 4*q, -2*q + 16 = s. Suppose -11*l = -s*l - 15. Solve -17 = -l*h - 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 4\/3*x**3 + 0*x + 4*x**2 + 3. Factor g(h).\nAnswer: 4*h*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 142 + 111. Let n = i + 78. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13022367 smaller than -13022367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in 0.23, 0.5, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -2*p, m + 12 = -4*m + p for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -2*k + 3*b, 4*b + 3 = -2*k - 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000968086 rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 12320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m**2. Let o(q) = -147*q**2 + 76*q + 2. Let a(v) = -10585*v**2 + 5510*v + 145. Let h(t) = 6*a(t) - 435*o(t). Give d(h(s)).\nAnswer: -756900*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 m when four letters picked without replacement from {j: 6, m: 4}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3 = g. Let s(t) = t**2 + 2*t - 1. Let b be s(g). Solve 0 = b*y - 0*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 4*w**2 - 3*w. Calculate o(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -3*y - 17282 + 17276, -12 = -4*m + 2*y for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144460 and 3720?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -l - 3. Let j(r) = 7*r**3 - r + 5. Let u(h) = 8*h**3 - 2*h + 6. Let y(v) = l*u(v) + 6*j(v). Find the second derivative of y(n) wrt n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 9 = 0, -2*f - 269 = -4*i + f. Is i a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/2625940 and -67\/3676316?\nAnswer: 18381580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-21))\/((-104)\/390)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {f: 10, j: 9}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - i + 1. Suppose -2*k - 18 - 22 = 0. Let o(z) = 6*z**3 - 5*z + 5. What is k*y(g) + 4*o(g)?\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 11:48 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 3. Let q be z(4). Sort -3, 2\/13, q in ascending order.\nAnswer: -3, q, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {l: 5, k: 14}.\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21818192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 63 = 5*n, 0 = d - 3*d + 6. Let b be -1*(-18)\/15*10. Calculate the greatest common divisor of b and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73 and 2336.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -48, -79, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 564851.31 to the nearest 100.\nAnswer: 564900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 4)\/(10\/(-5)). Suppose -2*q + r - 6 = 0. Sort q, -4, 4, 1 in descending order.\nAnswer: 4, 1, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 541\/11 - (-189)\/(-231)*26\/117?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2871, 1.1, -4 in descending order.\nAnswer: 1.1, -2, -4, -2871","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*d = -135 - 745. Let s(w) = 2*w**2 - 16*w + 13. What is s(d)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.252? (a) -4 (b) 1\/3 (c) -3\/7 (d) 4 (e) 1163\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v + 4. Let w be z(-8). Suppose -2*u = -4*u + w. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1371341 is divided by 7105?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9756132 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340565.\nAnswer: 5, 68113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.13481257864 to five dps.\nAnswer: 0.13481","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0767 - 48.8233. Let f = -49 - i. Which is the closest to f? (a) 0.4 (b) -4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2409.7 + -2412. Put p, -11, -3 in ascending order.\nAnswer: -11, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-10))\/(24\/60)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5186377l in millilitres?\nAnswer: 518.6377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h**2 - h**3 - 2*h**2)*(-3335 + 3335 + 122*h) as b*h**4 + l*h + u*h**2 + s + v*h**3 and give b.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1427610 divided by -346?\nAnswer: 713805\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -5*s + 90. Suppose 14 = 3*t + 2*m, 3*t - 3*m = -t + 30. Let q(z) = z**3 - 5*z**2 - 3*z + 9. Let a be q(t). Is s bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 6:50 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -1 + (-8 - -17) + 40 + -39?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 22101 - 1?\nAnswer: 22100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 - (-30 - (16 + -40)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -1, -249, 1\/7, 1, -3\/5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(54\/3))\/((-72)\/(-2916)*-72)?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 539 = 21*n - 35*n - 35*n for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5823 is divided by 932.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-8)*x**(-2\/3)*x*x**(-8)\/x**(-3\/4)*((x**(2\/7))**(26\/9))**(-36) assuming x is positive.\nAnswer: x**(-3749\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -9986.2 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140175 is divided by 254?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*s - 3*s - 3*s)*(7*s**2 - s**2 - 3*s**2) + 20*s + 24*s + 14*s**3 - 39*s to c + h*s**3 + z*s**2 + t*s and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6.523759156581 and 0.4?\nAnswer: 6.923759156581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**4 + p**4 + p**4)*(-2 + p + 8 + 8).\nAnswer: 3*p**5 + 42*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + 0 - -1)\/(21\/28). Let d = q - 22. Let j = d + 63. Is 45 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 18257.\nAnswer: -5\/18257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -4. Suppose k = -5*r + 15 + 5. Suppose f - m - 10 = 0, -f = -2*m - 5 - 3. Solve -f = -2*i - r for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12994571 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((344\/4)\/43)\/(2\/(-20))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000044164281 to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3917, 0, 343 in increasing order.\nAnswer: 0, 343, 3917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r - 5. Let h(u) = -15*u - 81. Suppose 122*c + 231 = 115*c. Calculate c*b(l) + 2*h(l).\nAnswer: 3*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 f, and 1 n when three letters picked without replacement from ffffffnfffzff.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) + sqrt(336)\/sqrt(300))\/(sqrt(16)\/sqrt(4)*5))**2.\nAnswer: 252\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -96.25, 0.3, 8 in ascending order.\nAnswer: -96.25, 0.3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-9)\/((-99)\/(-13)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**12*z\/(z**(2\/19)*z))**(2\/53) assuming z is positive.\nAnswer: z**(452\/1007)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 298*b**2*c + 1003*b**2 + 1612327*b - 2*c wrt b?\nAnswer: 596*c + 2006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2 - 4*y - 16. Let g be t(4). Suppose v + 32126884 = j - 28473118, -5*v - 5*j - 302999990 = g. Round v to the nearest one million.\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 49*n - 1480. Let s(k) = -11*k + 370. Calculate -18*s(x) - 4*w(x).\nAnswer: 2*x - 740","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*x = -7, -z + 0*x + 5*x = 5. Let v be 68\/12 - (-4)\/(-6). Suppose v*k - 2*k = z. Solve -k*j + 21 = -2*g, g = 2*j - 3*j + 7 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1116 - -1129 - (33 + -2).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(320) + -5 + (-1 + sqrt(320))*6 + 0 + 4)**2 + -5)*3.\nAnswer: -1680*sqrt(5) + 24132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6486*m + 6471*m = -105 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84339765?\nAnswer: 3, 5, 19, 131, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 144 - 69. Suppose 3*h - 6*h = -r. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 + 0.3. Let d = 139.44 + -16.34. Let r = d - 123. Put n, r, -2 in increasing order.\nAnswer: -2, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 99 by 10.\nAnswer: 99\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 917850594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 0) + -26 + 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s = -10 + 30 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**3 - 350*z**2 + 3682*z - 3330 = 0.\nAnswer: -185, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hw when two letters picked without replacement from wggh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**3 - 3*a**2 + 5*a. Let p(c) be the second derivative of c**5\/20 + c**4\/12 - c**3\/2 + 574*c. What is -7*p(d) - 4*x(d)?\nAnswer: d**3 + 5*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -39. Suppose 2*b - 58 = -h. Let x = 19 - -26. What is the greatest common divisor of x and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.16 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-6) - 24\/(-9). Suppose m*s - 4*s - 7 = 3*q, -3*q - 11 = -s. Suppose 0 = p - u - 16, -3*p + 7 = -s*u - 43. Is p a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 13) to base 4\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x + x**2 - 14 - 17 + 47. Let p be a(12). Let y be 6\/(-15)*p\/(-2). What is the highest common factor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10549 + -3538. Is 41 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32)\/sqrt(2))\/sqrt(2))\/sqrt(4) + (sqrt(50) - ((sqrt(200))**2 + sqrt(50)))*-1.\nAnswer: sqrt(2) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -251 and 35.318.\nAnswer: -8864.818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3724*d**2*o*s**2 + 41*d**2*s**2 - 874*d*o*s**3 + 132*d*s**2 + 3*s**3 - 41*s wrt o?\nAnswer: -3724*d**2*s**2 - 874*d*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 - (4 + -7 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 6*m + m = -12, -9 = -2*u - m. What is the second derivative of 5*n - 7*n**2 + 5*n**2 - u*n**2 + 3*n**2 wrt n?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20 + 20 + 5*m)*(7 + 2*m + 2 + 11 - 27) as q*m + d + j*m**2 and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 128 = -2*x + 83, -5*x = -2*c + 147. Suppose -3*p = -5*f - 193, -f + 3*f = -5*p - c. Let a = f + 70. Does 21 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/20)\/((3\/(-20))\/3). Suppose -28 = p*b - 13. Which is bigger: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**2\/3 + 26536*d\/3 - 141440 = 0.\nAnswer: 16, 26520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**3 + 15*j - 73*j + 40*j - j**3 + 18*j.\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*o + 11*o - 3*o)*(2*o + 2*o - 3*o)*(0 - 3 + 2).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 1. Let g(f) = 3. Suppose -2*i = 12 - 8. Let s(w) = -2*w - 2. Let n(a) = -a - 1. Let m(q) = i*s(q) + 3*n(q). Calculate o*g(z) - 3*m(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/((-180)\/(-118133344)) - 4\/(-6). Suppose 4*f + 3*q = -24564434 + t, -2*q - 18399992 = 5*f. Round f to the nearest 100000.\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85 - 70. Solve 5*j = -5 - o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2070751 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 71176500 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -52*i + 48*i. What is the highest common factor of i and 162?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -62*o**3 + 27 - 3879*o**2 + 3879*o**2 + 12 with respect to o.\nAnswer: -186*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26573081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/((-4620)\/297)*2\/(-3).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3541 is divided by 66?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 14. Let g(z) = -9. Let q(s) = -3*g(s) - 2*p(s). Let h(n) = n - 4. What is -h(i) + 4*q(i)?\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 635877\/(-77076)*2\/(-132).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 486*b*i*k**3 - 5*b*i*k - 66*b*k**2 - b*k - 241*i**2*k**3 + 4*i**2 - 2*i*k wrt k.\nAnswer: 2916*b*i - 1446*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4652 and 102344.\nAnswer: 102344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12\/703 in -0.1, 7, 9, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, r: 1, j: 3, k: 4, v: 2, n: 1}. Give prob of sequence jvvk.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, -2\/295, 34\/5?\nAnswer: -2\/295","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 10:03 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -19c + -32b15?\nAnswer: -32cb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2172 and 199949433.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1118*x**5 + 70078*x**3 + 2*x**2 - 28999617*x?\nAnswer: -22360*x**3 + 420468*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 90*b - 1135 - 665. Solve 16*s - b*s = -d - 28, 0 = -4*s + 32 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 590 divide 727291427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 10 + (0 - -1) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -2)\/((-18)\/(-9)). Sort r, -0.127, -2\/3 in increasing order.\nAnswer: -2\/3, -0.127, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 2*y + 26 + 19 - 16 = -q + 16, -q = -11 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -274, -572, -906, -1294, -1754, -2304, -2962?\n\"Answer: -3*q**3 - 277*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 324.197891837?\nAnswer: 324.097891837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-4)\/((-8)\/(-2))*-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g. Let t(z) be the first derivative of -z**4\/4 + 3*z**2\/2 + 6. Determine -t(i) - 2*w(i).\nAnswer: i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/54*4 - (-428)\/(-54))\/(9 + -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 197110736?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -6 + 2 - (-3 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 3*t**2 - 2*t - 2. Let l be c(-3). Suppose 6 = -2*q, 4*k - 16 = -0*k - l*q. What is the highest common divisor of 21 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + 0. Let s = -112 - 106. Let x = s + 223. Which is the nearest to -0.1? (a) 2 (b) z (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(931) - sqrt(19)) + (sqrt(19) - sqrt(1216)*-3).\nAnswer: 3 + 31*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2380 divided by 28.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9785, -9838, -9985, -10274, -10753, -11470, -12473?\n\"Answer: -8*s**3 + s**2 - 9778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1026411402 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from auwku. What is prob of picking 1 a and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2 = -2*y, -7*y + 1 = -2*p - 6*y. Solve 0*n - 2*n - 2 = p for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-263)\/(-15780)*-20)\/((-1)\/48)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 2:53 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 2918.\nAnswer: -2917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-935)\/119 + 3\/(-2)*8\/(-14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 19*s**3 + 2203*s**2 - 116*s - 50. Determine h(-116).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 6*u - 32. Suppose -4*i + u = 3*o, 2*o + 3 + 10 = i. Suppose 5*m = 4*m - 1, 2*c + 4*m = -4. Solve c + i = w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 359?\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5338 = -15*v. What is the lowest common multiple of v and 12?\nAnswer: 1884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 382326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**3 + 39*o**2 - 21*o - 27. Let p be i(-20). Put p, 3, -6 in descending order.\nAnswer: 3, -6, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(4788\/(-209)))\/(1\/(-6)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -11*s**4\/4 - s**3\/3 + 257. Let x be (0 + (-2)\/(-4))*-2. Is g(x) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2097 - -4048. Is l >= 1950?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/4 (b) 2\/7 (c) -166 (d) -6 (e) 0.2 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*x - 183275 = 1019770. What is the thousands digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 37*h + 15*h + 22*h. Let f(i) = -i**2. Determine f(c(j)).\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 13*z - 9. Let a be i(12). Let f(v) = 1 + 2*v + 23*v**2 + 43*v**2 + 31*v**2 - a*v. Is f(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 2 + 2. Suppose -2*d - 2*a - 2*a + 30 = 0, 0 = 2*d - 5*a + 15. Suppose d*n - 121 + 41 = 0. What is the lowest common multiple of n and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -1\/10*r**5 + 0*r**4 + 0 + 2*r**2 - 1\/6*r**3 + 0*r. What is the first derivative of a(l) wrt l?\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 12*h**2 - 4*h**2 - 22*h**2)*(-5 + 6 - 3 + (-1 + 7 - 2)*(-2 - 1 + 1)).\nAnswer: 380*h**2 - 30*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15563, 15542, 15493, 15404, 15263, 15058, 14777?\n\"Answer: -2*x**3 - 2*x**2 - x + 15568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 4 = 2*w. Suppose x - w*r - 18 = 0, 0*r + 1 = 2*x - r. Let d = x - -5. Which is the biggest value? (a) -4 (b) 0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2845869228.\nAnswer: 2, 3, 109, 26861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 11:24 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2. Let y(u) = 16*u**2 + 20*u + 20. Let x = -27 + 65. Let c = x - 37. Let g(v) = -v**2 - v - 1. Let n(a) = c*y(a) + 20*g(a). What is n(f(z))?\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 + 7. Let g(c) = -60*c - 117. Let z be g(-2). Find the second derivative of 10*y - 46*y**5 + w*y**5 + z*y wrt y.\nAnswer: 160*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 96*c - 113. Calculate y(4).\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32591*h**4 + 159374*h wrt h?\nAnswer: -391092*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/((-9)\/(-6) - 2). Suppose 2 - s = -4*m, 2*p + 5*m = 8. Let q = 6 + p. Solve 2*g + 3*g - 40 = -5*f, 0 = q*g + f - 28 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6105439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + x - 5*l = -12, l + 12 = -5*x. Let v = 18 + x. Suppose -v*q = -17*q + 72. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/((-255)\/(-42)))\/((-595)\/(-150)).\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -7*d - 15, 5*u - 21 = 2*d. Suppose 4*r = -p - u, 0 = 2*r + p - 6*p + 7. What is the closest to 2\/3 in r, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*g - 1634588 = 10462231. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -645, -1300, -1975, -2676, -3409, -4180, -4995?\n\"Answer: -k**3 - 4*k**2 - 636*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 o, 1 d, and 1 x when four letters picked without replacement from {q: 4, o: 1, k: 1, d: 3, x: 5}?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 30. Suppose -5*z + y = -z. Let t(c) = -c + 1 + 3*c**2 + 3*c - c**z - 3*c. Determine t(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c*k**3*s + 2*c*k**3 - c + 44*k*s + 281*s wrt k?\nAnswer: 3*c*k**2*s + 6*c*k**2 + 44*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-5 + 2 + 0). Suppose -3*p + 2*z = -22 + 5, -3*z = -4*p + 24. Suppose r*a + 3*a = p. Solve 0 = -2*i + 1 + a for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 15 = 0, 5*o - d + 5 = -0*d. Suppose o*j = 3*j + 462. Round j to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -109 - -165. Let t(g) = -g**2 + 2*g + 42. Let h be t(7). Calculate the highest common divisor of h and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148177 is divided by 73483.\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30*t + 12*t**2 - 30*t)*(-150 + 888 - 14)*(-2*t**2 + 2*t**2 - 2*t**2) to the form c*t**4 + z*t + u*t**3 + p*t**2 + f and give c.\nAnswer: -17376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 454 or 436?\nAnswer: 436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5*g - 16 = 0, 7*f + 2*g - 16 = 3*f. Suppose -70 = -f*p + 2114. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-84)\/(-70)*(-4720)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/21545675 and 62\/5.\nAnswer: 21545675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a**2. Let x(d) be the first derivative of 9*d**5\/20 + d**4\/12 - 97*d**2\/2 + 101. Let q(u) be the second derivative of x(u). Give q(t(h)).\nAnswer: 243*h**4 - 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 32 = 2*d + 11*m - 7*m, -5*m - 32 - 3 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34526 = 419*d + 506*d - 359*d for d.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1221 (b) 0.2 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 5)*(-1 - -3). Let b = w + -8. Let r(q) = -q**3 + 6*q**2 + q + 3. Let u be r(6). Solve -2*d - u + 1 = b, 4*a = 5*d + 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21 - 48 + 28 - 5*i wrt i.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 302 - 287. Calculate the remainder when 1154 is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1104*i - 504 + 3861 = 45. Find y, given that 18\/5*y + 6\/5*y**i + 6*y**2 - 54\/5 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in -0.2748, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 232*p**2 - 84*p + 170. Let u be d(5). What is the greatest common factor of u and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (311 - 75 + 147)*(99 + 73 - 85)*(2*b + 2*b**2 - 2*b) as c*b**2 + j*b + n and give c.\nAnswer: 66642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f. Let c(t) = t**2 - 15*t + 5. Let j(z) = -c(z) - i(z). What is the units digit of j(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31355, -62690, -94019, -125342, -156659?\nAnswer: -187970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 149619, 299231, 448843, 598455, 748067?\n\"Answer: 149612*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -2*n - 110. Let u(x) = -250*x**2 - 211*x - 29. Let b(g) = 15 - 42*g - 13 - 50*g**2 - 8. Let l(q) = n*b(q) - 4*u(q). Suppose l(i) = 0. What is i?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxr. What is prob of sequence rx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34740374.\nAnswer: 2, 17370187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - 10 - 81 - -51?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 5*v**2 - v + 5. Calculate q(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45128907*b**2 - 626645766*b.\nAnswer: 90257814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/9 and 139\/42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/3))**(-30))**(-40) assuming u is positive.\nAnswer: u**(-400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*g**4 - 24*g**2 + 8835 wrt g.\nAnswer: -96*g**3 - 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6977944l in millilitres?\nAnswer: 697.7944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/286 and -79\/4634760?\nAnswer: 50982360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - y - 2. Let j be h(0). Let w(n) = -2*n**2 - 18*n - 5. Let d be w(-9). Let u be d\/15 - (0 - j\/(-6)). Solve u = 4*k + 17 - 1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0.07 (c) 2\/17 (d) 2\/15 (e) -0.5 (f) -3352\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4176\/168 + -24)*(-1)\/(-6).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((2\/2)\/(-1)). Let z = 0 + x. Let k = z - -5. What is the smallest common multiple of 6 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19867.\nAnswer: 19867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c + 291 = -192*v + 189*v, -v = 3*c - 71 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/3 - 323*u**2 - 43738*u + 132184\/3.\nAnswer: -(u - 1)*(u + 164)*(u + 806)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 25*p + 89. Determine q(-21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o - o**3 - o**2 - 8*o + o**2 to the form v + k*o**3 + w*o + j*o**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 3*a + 3*a)*(1 - a - 1)*(-599*a + 599*a + 18*a**3).\nAnswer: -36*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 222150390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 91, 146, 209?\nAnswer: 280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001464 to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -0.4 (b) 0.2 (c) 0.9 (d) -3 (e) -6.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j + 3*j - 5*j)*(0*j + j - 4*j)*(-26*j + 46*j - 33*j).\nAnswer: 156*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -698404*k**3 + 1 - 3*k**4 + 68*k**2 + 698405*k**3 + 6*k**2 in the form b*k**4 + t*k**2 + r*k**3 + w + d*k and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by ((-313 - 2)\/(-7))\/1.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-3)\/(-12)*1*-6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**3 + 8*c**2 - 7*c + 8. Let g be m(6). Let n = 993 - g. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.8 + -1.8. Let d be 2\/(-10) + 2\/10. Suppose d = 3*l + 4*u + 16, -l = -0*l - 3*u + 1. Sort l, m, -2\/5.\nAnswer: l, -2\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 160 = 2*m + 23*m - 3*z, 2*m - 5*z = -m - 7 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(-1430)*20*693\/9?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 12*y**2 - 29*y + 16. Let j = -2322 + 2336. Calculate t(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3551?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 9:41 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -840, -6497, -21730, -51327, -100076?\n\"Answer: -798*p**3 - 71*p + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 + 1894*o + 34754. Calculate a(-18).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*2\/(-6) - (-60)\/9. Let d(f) = 2*f**2 + 10*f**2 - q*f**2. Let h(w) = -w. Determine d(h(z)).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 73*q**3 + 16*q**2 - 114*q + 2. What are the prime factors of t(5)?\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -c**2\/2 + 15*c + 148. Calculate n(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = 4*i - 2*i + 4*l, 5*i = -3*l + 591. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -1 + l + 11 + 6. Let q be a(-11). Suppose -5*t = 0, -q*t + 1 = -2*b + 5. Solve m - 2 = b*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 4*p**2 - 3*p - 1. Let r be (-14 - -4 - -4) + 1. Let l be 2*(-3 + (-3 - r)). Determine y(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**4\/12 - 4*j**3\/3 - 12*j**2 + 2*j - 42. Let x(o) be the first derivative of l(o). What is the derivative of x(t) wrt t?\nAnswer: 2*t - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 4*j**2 - 437*j - 1036. Calculate w(24).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*v = -10*v + 11*v - 289116. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) -5 (b) -0.4 (c) -0.5 (d) -3424\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1991786*w**2 - 1923429 wrt w.\nAnswer: 3983572*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 4*k, -2*k = -0*z - 2*z + 18. Suppose -s - 5*p = 3, -4*s + z*p = -2*s - 22. Suppose -35 = -4*a - a - q, 2*a = q + s. Solve a = -4*f - 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38.262 - 0.718. Let y = t + -4.82. What is y rounded to zero dps?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 988 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 17.36863 centuries?\nAnswer: 173.6863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*m - 24, -y + 16 = 2*m + y. Suppose 249 = m*o - 919. What are the prime factors of 8\/6*(-6)\/(-4) + o?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -49*r**3 + 2*r**2 + 7*r + 2. Is f(-2) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(288) + -2) + 0 + sqrt(288) + 2)*-1)**2 - -1*(2 + (-1*sqrt(288)*3 - sqrt(288))**2).\nAnswer: -144*sqrt(2) + 4934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -722511210635 + -1\nAnswer: -722511210636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1148 and 7216.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 1)\/(21\/7). Suppose -3*g - 2*g + 40 = 5*y, v = 3*g + 6. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three sixths of a century?\nAnswer: 4600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.188 - 0.188. What is the closest to -10 in c, -0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -365?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 725079218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 148*k + 66. Let i be m(13). Suppose -2*o = 4*h - i, 1655 = 4*h - o - 320. Is h a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5*m + 3*m - 1)*(-2*m**2 + 2*m**2 + 2*m**2).\nAnswer: 16*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 536, 1325, 2628, 4703, 7808, 12201, 18140, 25883?\nAnswer: 35688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s + 5. Let r be o(8). Let q = r + -21. What is the third biggest value in q, -3\/5, 1\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -0*c + 36. Suppose r - 4 = -2*z + 8, 0 = -3*r + c. Suppose -38*o - 10*o - 207 = 129. Sort z, 5, o.\nAnswer: o, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/(-4) - (-3 - -1). Let n(k) = 247*k + 8894. Let a be n(-36). What is the closest to y in -3, -14, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -10511693\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 167512 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 15*v**2 + 165*v + 2909. Give s(-16).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9072 is divided by 1095?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 52668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -7, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 4661083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**2 + 3*h**2 - 9*h**2.\nAnswer: -11*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -10*h**2 + 7*h - 15. Let r(p) = -9*p**2 + 7*p - 14. Let f(b) = 4*a(b) - 5*r(b). Is f(2) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 805*w - 6433. Let r be s(8). Let y(o) = -o**3 + 6*o**2 + 11*o - 6. Calculate y(r).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -62 at least as big as -63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d - 889. Let t(h) = 11. Determine p(s) - 6*t(s).\nAnswer: 2*s - 955","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 14*i**4 + 9*i**3 - 10*i**2 + 9. Let h(k) = -7*k**4 - 4*k**3 + 5*k**2 - 4. Let q(n) = -9*h(n) - 4*r(n). What is the third derivative of q(v) wrt v?\nAnswer: 168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1\/5, -0.5, 4\/5, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 122, 340, 656, 1076, 1606, 2252, 3020?\nAnswer: 3916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 6 = 127*k - 132*k, 4*j + 3*k = 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c + 13. Let w be a(0). Let o = w - 25\/2. Factor h**2 + 0 + o*h + 1\/2*h**3.\nAnswer: h*(h + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-2)*(-598)\/(-897)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(2\/15))\/f)\/(f\/f**(11\/2))*((f\/(f*(f\/(f*f**(2\/3)*f))\/f)*f)\/f*f*f)\/(f\/(f*f**(-2\/67))))**(-2\/71) assuming f is positive.\nAnswer: f**(-18097\/71355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7031.898 + -7038. Let f = q - 0.498. What is f rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 172748 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -32*r**2 + 11*r - 9. Let j(q) = -16*q**2 + 6*q - 5. Determine 4*c(p) - 7*j(p).\nAnswer: -16*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 0*q + 505 + q - 457. What are the prime factors of a(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -l**7\/1680 + l**6\/720 + l**5\/240 - l**4\/48 + l**3\/6 + l**2. Let r(n) be the first derivative of o(n). Factor r(v).\nAnswer: -(v - 1)**2*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -5 (b) 1\/107 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0071 + 0.3929. What is the third smallest value in -1\/2, -7\/8, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 - -14. What are the prime factors of l?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31022377?\nAnswer: 23, 59, 22861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-2))\/(-3)*(-80)\/24?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -607, -612, -617, -622, -627, -632?\n\"Answer: -5*b - 602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 1494 = -3*u, 3*s - 11*u = -12*u + 4450. What is the highest common divisor of 57 and s?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*g**4 - 30*g**3 + 36*g**2 - 8*g.\nAnswer: g*(g - 2)**2*(7*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -15*f**3 + 913*f**2 + 186*f - 3896. Determine m(61).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -571*y = 168*z - 572*y + 845, 2*z + 5*y - 15 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 581*c + 605*c = -637*c + 1879*c - 728 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 8*w**2 + 11*w + 11. Let f be 3820\/(-573)*3\/4. Determine m(f).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l + 27 = -75 - 24 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 455984199?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -866, -875, -886, -899, -914, -931, -950?\nAnswer: -971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6358\/(-748)*(-12)\/17. Calculate the highest common divisor of b and 2379.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**4 + 2*z**3 - 20*z**2 - 8*z + 48 = 0. Calculate z.\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41816*m**5*s**3 - 489*m**3*s**3 + 506*m*s**3 - 279*m*s**2 + m*s + s + 3 wrt m.\nAnswer: 836320*m**3*s**3 - 2934*m*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -4. Let b be 60\/(-24)*o*2. Suppose 2*l = b*l - 12. Calculate the greatest common factor of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8848597050 and 0.3?\nAnswer: 8848597049.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*o**4\/9 - 58*o**3\/9 + 140*o**2\/3 - 32*o\/9 - 320\/9 = 0. What is o?\nAnswer: -10, -4\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -474 + 473. Let y(g) = g - 17. Let s be y(21). Which is the nearest to s? (a) -0.4 (b) -0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -705310 + 28210447\/40. Let d be 1 + (1 - (-226)\/5). Let x = m + d. Calculate the common denominator of -67\/12 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 2*r + 2 + 8*r**2 + 8*r - 13 + 4. What is the hundreds digit of u(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 37*j**2 - 141*j + 83. What is the thousands digit of y(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 4:16 AM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, -27, 11.\nAnswer: -86, -27, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -785623*h**3 + 146*h**2 - 40134*h.\nAnswer: -4713738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 - 49. Solve 3*n + 3*j = f, -5*n = -4*n - 4*j for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1460557.\nAnswer: 7, 137, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - h + 52 = 0, -5*s + 3506 - 3562 = -h for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2856, -2859, -2864, -2871?\nAnswer: -2880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*d + 9 = 0, -5*q + 33 = -4*d + 4. Suppose 0 = q*b + 4*v - 99, 88 = 4*b - 3*v + 4*v. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -11*y + 17. Let a(k) = 3*k - 4. Let r(p) = 9*a(p) + 2*v(p). What is the tens digit of r(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8463284 and 304?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 450084392 to the nearest integer?\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 230*s**4 - 272*s wrt s.\nAnswer: 2760*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*z = 0. Solve -5*n + 5*u - 5 = 0, 2*u - 8 = -4*n - z*u for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 330562 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8342 times 0.4?\nAnswer: -3336.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, -12, -0.5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**5\/5 + 856*m**4\/5 - 49092*m**3\/5 + 352672*m**2\/5 - 678976*m\/5 = 0 for m.\nAnswer: 0, 4, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1016, 2030, 3044, 4058, 5072?\nAnswer: 6086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kcanppkakkdakap. What is prob of sequence kaan?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -21*u**4 + 3*u**3 + 5*u**2 - 2. Let i(g) = -20*g**4 + 4*g**3 + 6*g**2 - 1. Let a(z) = 3*i(z) - 4*y(z). Find the first derivative of a(p) wrt p.\nAnswer: 96*p**3 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qqqqqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4790 + -4806. Sort -122, r, -2\/7.\nAnswer: -122, r, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 349 and 271385890.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(48)*4 + (2 + -2*sqrt(3))**2 - 1*sqrt(12)\/(sqrt(16)*-6))*-5 + 5.\nAnswer: -85 - 485*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4a9 + -319?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3963892, -7927867, -11891818, -15855733, -19819600, -23783407, -27747142, -31710793?\n\"Answer: 2*t**3 - 3963989*t + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 307\/8 + (259\/56 - 5). Suppose 24 = -36*h + m*h. Let y be (-1 + 0)*(1 + -1). Solve -q - 5*c = h, 2*q - q - c - 6 = y for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26085 divided by -5217.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 2 - 0. Suppose -2*u - 2*b = b - 3, -u - b = -s. What is the second derivative of -16*x**u - 3*x**5 + 16*x**3 + 2*x wrt x?\nAnswer: -60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 + -627153?\nAnswer: -627166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47775 divided by 3675.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -12444 + 0.1\nAnswer: -12443.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -14*w**3 + 14*w**2 - 8*w - 1. What is the thousands digit of u(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5.88 (b) 4 (c) -0.4151\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**3 + 32*d**2 - 16*d - 52. Let k be t(-11). Let j(y) = 2*y**2 + 2. Let i(n) = -6*n**2 - 6. What is k*i(l) + 8*j(l)?\nAnswer: -2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/10? (a) -2\/35 (b) -0.18 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1992, 7307, 16132, 28467, 44312, 63667, 86532?\nAnswer: 112907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74708 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1865925 divided by -8293?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 4:41 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89041510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - u + 20, -s = -u - 0*u - 4. Suppose 2*m + 7 = -c - 3*m, -2*c + 5*m = -31. Solve s*b - c = 4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - (-63)\/14) + (-2)\/4. Solve 0 = 5*h + d - 11 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + -1 - -38*1. Let t be i\/(-10)*(-1 - 1). Calculate the highest common divisor of t and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - t + 15, -52572*d + 52576*d + 5*t = -69 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156, -168, -194, -240, -312, -416?\nAnswer: -558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47066.000029899 - -47066. Round y to seven decimal places.\nAnswer: -0.0000299","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1095 - -758. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -304\/7 - -16105\/371. Let d = p - -56\/159. Which is bigger: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = 2*v - u, -4*u = -0*v + 3*v + 243. Let j be 5\/20 - v\/12. Let h be -2*(-3 - -4) + j. Solve -4*o + 3 = 5*x, 0 = -h*x - 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 393\nAnswer: -3\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yqqq when four letters picked without replacement from {q: 4, y: 10}?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((135\/63)\/5)\/((-60)\/(-1400)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224*o = 229*o + 15. Let p = 7\/53 + -116\/477. What is the closest to o in 4, p, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -121\/3 + 40. Which is the closest to 0.2? (a) 0.2 (b) 0 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3387550120 to the power of 1\/6, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.5? (a) 2\/15 (b) -2 (c) 1\/4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and -76580.\nAnswer: -76579.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*i = -16*i - 104. Suppose 4*q = 5*v - 125, 2*v + 3*v + i*q - 125 = 0. Calculate the greatest common divisor of v and 775.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10, -0.04, 2, -0.0228, -1\/5, 1, 4\/7?\nAnswer: -0.0228","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 598077954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = y - 87, 2*y + a + 2*a - 174 = 0. Let w(k) = 1 + 5*k**2 - k**3 - 81*k + y*k + 3 - 2. Calculate w(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g**2 - 20*g - 2. Let c be 110\/(-143) - 9\/39. Let d(z) = -z**2 + z. What is c*w(m) + 2*d(m)?\nAnswer: 2*m**2 + 22*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 319*d + 3300 = 374*d. What is the remainder when 191 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*j + 4572 - 1322 = -13*j for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -5*q**2 + 2*q + 4. Calculate n(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-18)*i*i**(-2\/77))**(-2\/69) assuming i is positive.\nAnswer: i**(-3076\/5313)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438139635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9934*r**2 - 5036*r**2 - 4350*r**2.\nAnswer: 548*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 3*b**2 + 11*b - 18. What is the remainder when g(-9) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4457 - 5222 = 525*f + 821 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/22 and -85\/27696?\nAnswer: 304656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 5*h**2 + 2*h - 5. Let d be l(5). Suppose -3*b + 3*o + 36 = 5*o, d*b + o = 53. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93 and 44547?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-65))\/((-208)\/(-390)))\/(3*(-2)\/(-4)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 1)*(4 - 1 - 1)*(-2*f**2 - 2*f + 2*f + (-1 - 1 + 0)*(-3*f**2 - f**2 + 0*f**2)) to y + d*f + w*f**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1963, 2050, 2163, 2302, 2467, 2658, 2875?\n\"Answer: 13*z**2 + 48*z + 1902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8b9 (base 15) to base 7.\nAnswer: -5520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*2304788\nAnswer: -691436.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17812 and 16836?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-3*(sqrt(720)*-1*-4 - 3*sqrt(720)*-2)**2*-2*4*-4.\nAnswer: -13824000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8113 + 8162. Let s be (132\/(-9))\/((-10)\/6). Let o = 42\/5 - s. Which is smaller: i or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -359 + 359. Suppose t = -9*c + 43 - 34. Is 1\/39 greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 527415241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*a**3)*(-a + 0 + 0) + 17*a + 1763*a**4 + 1759*a**4 - 3535*a**4.\nAnswer: -11*a**4 + 17*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 223 - 133. Let m = 4 - -32. What is the greatest common factor of m and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -3*t - 5*n, 0 = 3*t - 3*n. Suppose t*l + 5*l = -10. What is the units digit of (-7)\/(-3) - l\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*o - 7 - 3 = 0, 5*m = 5*o + 5. Let v be (-20)\/16*(m - 0). Let l(i) = -3*i + 3. Does 15 divide l(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22743 divided by -2527?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19031251297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + -1*(0 + sqrt(175)) + 1 + sqrt(175) + -4 - (-5 + ((sqrt(175) + 0 - sqrt(175))*-3 - sqrt(175))))**2.\nAnswer: 40*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1102111 (base 3) to base 10\nAnswer: -1039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -11*n**2 + 3699*n - 24. Let g(i) = -5*i**2 + 1850*i - 11. Give 6*d(p) - 13*g(p).\nAnswer: -p**2 - 1856*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*d - 35*d = -80. What is the derivative of 11 + 7 - 7 - 61*i**4 + d wrt i?\nAnswer: -244*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*n - 3*g - 4, -5*g = 5*n + 20. Let o = n - -2. Let 4*l**3 + 3*l**4 + 4*l**3 - 2*l**3 - 6*l - 2*l**o - l**2 = 0. Calculate l.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452 is divided by 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -329596.9 rounded to the nearest one hundred?\nAnswer: -329600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7491 and 170250.\nAnswer: 1872750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*d**2 + 10257*d\/2 - 622521.\nAnswer: 3*(d + 526)*(8*d - 789)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1738.6 and 6887248674?\nAnswer: 6887246935.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18\/10)\/((-2)\/(-170)*17). What is the greatest common factor of 243 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)*5)**2 + sqrt(2) + 2.\nAnswer: sqrt(2) + 3202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9040 + -9035. Solve 4*s = p*c + 46, -3*s - 2*c = -0*c for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbbbbdkbdbwbmmbkmkw. Give prob of sequence dw.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + 88 + -72 + 402\/(-15).\nAnswer: 61\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*3 + (248 - -5). Suppose 4*k = -0*k + u. Suppose -3*g - k = -5*w, -w + 0*g = 3*g - 2. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -4*d**2 + 877612*d + 877616 = 0.\nAnswer: -1, 219404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13\/8 - (-24)\/64. Let u(t) be the third derivative of -1\/40*t**6 - 6*t**h - 1\/20*t**5 + 0*t + 2*t**3 + 0 + 1\/2*t**4. Factor u(o).\nAnswer: -3*(o - 2)*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 - 2*j + 2. Let a = 2 - 0. Let n = 16 + a. Calculate the smallest common multiple of n and v(3).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*j + 71*j - 20 = 0. Let i = 71 + -35. What is the greatest common factor of i and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4885 + -3?\nAnswer: 4882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 387 + 5 = 36*l + 68 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/30 + 558\/5. Let o = -74 + a. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55568, -62269, -68970, -75671, -82372?\nAnswer: -89073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 544.255m?\nAnswer: 544255000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 75 = -257. Let l = i - 46. Let u = -7 + l. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7518.45l in millilitres?\nAnswer: 7518450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5444*y - 715*y + 9636*y - 1717*y as l + o*y and give o.\nAnswer: 12648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 701 - 695. Let f = -17 - -17.07. Which is greater: m or f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1182 and 394.\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y + 40 = -19*y. What is the hundreds digit of (y\/4*61)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {u: 4, w: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53 (base 9) to base 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 5*l - 19, 4 = b - 0*b + l. Suppose -x - 5*d = -2*x - 4, -x - b = -4*d. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50525117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((-2)\/(-29)) - 1. Let h = 51 + m. Is h a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -176.5*60.3.\nAnswer: -10642.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10423 - 10423. Factor 4\/3*w**2 + 2\/9*w**4 + 0 - 14\/9*w**3 + x*w.\nAnswer: 2*w**2*(w - 6)*(w - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 4*j**3\/3 - 9*j + 4. Let b(m) = m**2 - 2. Let q(i) = 9*b(i) - 2*d(i). Let h(n) = -7*n. Determine q(h(y)).\nAnswer: 49*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 6.\nAnswer: -3, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54*6\/24 - -8) + 6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -h - 10. Suppose -2 = -2*a, a - 32 + 6 = h*z. Sort -1, -13, z.\nAnswer: -13, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2. Let c(u) be the third derivative of 163*u**5\/60 - u**4\/6 + 4*u**2 + 36*u + 1. Determine c(v(f)).\nAnswer: 163*f**4 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 17*o - 40. Let s be z(16). Let g = 178 + s. List the prime factors of g.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1002.93 - -482.974. Let c = n + 520. What is c rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.54 + 1.54. What is the third smallest value in b, -0.4, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (25\/10*(-4)\/5)\/((-8)\/(-52))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -180399, -360793, -541187?\nAnswer: -721581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 + 32.83. Let r = -0.07 - w. Is -0.08 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 75358*s + 226077. Determine t(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 6:35 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 10:13 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.061*3.7077.\nAnswer: 0.2261697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 11*b - 14. Let y be ((-6)\/(-21))\/((-1)\/(-42)). Calculate the remainder when f(14) is divided by y - (10 + -4 - 10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 2434.\nAnswer: 1\/1217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 s when two letters picked without replacement from slb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 - 60 = 25*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88299?\nAnswer: 3, 9811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b - 3. Let o be v(-7). Let w(k) = k**3 - 2*k**2 - 5*k + 1. Determine w(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 648563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 45*w - 130. Give y(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -97 (base 13) to base 14\nAnswer: -8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 9:51 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37153307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 + 188*g**2 - 388*g + 196.\nAnswer: 4*(g - 1)**2*(g + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8 + (-8)\/(6 + -7). Suppose j = -6*p + 2*p + t + 25, -23 = -5*p + 4*t. Solve -p*b - 2*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (3 + (-32)\/(-2)). Let t = 50 + v. What is the remainder when t is divided by (-2 - 0)*(-15)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 + -33. What is the smallest common multiple of o and 28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-133))\/(3\/2)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 6:20 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -25b (base 12) to base 13\nAnswer: -218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -11*t**3 + 2*t**2 - 1. Let z be c(1). Let f = -6 - z. Suppose 2*s - f*y - 191 - 15 = 0, 0 = 2*s - y - 206. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33328 is divided by 3325?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6121388 and 6700.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2. Let l(z) be the third derivative of -11*z**5 + 13*z**2 - 12. What is h(l(y))?\nAnswer: 435600*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 - -1172?\nAnswer: 1156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + -0.164. Round f to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/44*(-10)\/15?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 100*g - 7*g - 63 + 342 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n. Let b(i) = 723283*i**2 + i. Give b(j(z)).\nAnswer: 6509547*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 8012*n + 56053. What is u(-7)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*z - 108*z = -1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-33 + 75 + 44 - (22 - 1)) + -5\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 1064 = 15*c. What is the smallest common multiple of c and 120?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/648 and -67\/31454277.\nAnswer: 6794123832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 m when two letters picked without replacement from adamcmcmcadccdcaa?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 471791 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 = 12*u - 266 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)*2*-3 + sqrt(152) + -1*sqrt(152)*-2)\/((1*sqrt(800) - sqrt(800) - sqrt(800))*6))**2*-3.\nAnswer: -57\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/2091, 0.5, 13, -1049 in ascending order.\nAnswer: -1049, -2\/2091, 0.5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -134.\nAnswer: 3\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.95701 milligrams in micrograms?\nAnswer: 3957.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3238 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = 11*v + 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 b when two letters picked without replacement from {m: 5, o: 1, s: 4, b: 6}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141454.\nAnswer: 2, 107, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aeai when four letters picked without replacement from {a: 10, i: 4, n: 2, e: 4}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -985 - -5911\/6. Let g(v) be the third derivative of 0 + 2*v**2 + 2\/3*v**3 - u*v**4 + 0*v. Differentiate g(b) wrt b.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/75)\/((-177)\/102). Let k = 81\/7 + -4772\/413. Let y = k - f. Is y greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 199628, 197859, 196090, 194321, 192552, 190783?\n\"Answer: -1769*i + 201397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 12, -2*y - 4*h = -y - 215. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-6 - (1 + -12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 60, 65, 70?\n\"Answer: 5*s + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1 - 4) + 5 - -28 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -246*(11 + -9 - 168\/112)?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21914780 divided by 1.\nAnswer: 21914780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4118?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -16b43 (base 14) in base 2?\nAnswer: -1101111100000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 10367547?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 415 divided by 62.\nAnswer: 415\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5013.\nAnswer: 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -156669, -626636, -1409923, -2506536, -3916481?\n\"Answer: -t**3 - 156654*t**2 + 2*t - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 1898.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*m - 51, -2*m - 2*m + 66 = 2*b. What is the greatest common divisor of 18 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25500, 17, 4 in increasing order.\nAnswer: 4, 17, 25500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 2*u - 10)*(49298 - 71*u - 49298).\nAnswer: 142*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 3*s = -6, -6 = 3*g - 2*s + 5*s for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -12, 422 = q - 4*u + 114. What are the prime factors of ((-189)\/54)\/((-2)\/q)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 42 = -8*j. What is the hundreds digit of 1\/((-2924)\/(-2920) - j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 5*g**2 - 2*g + 1. Let i be x(1). Suppose -i*z + 3*f = -5, 2*f - 6*f = -5*z. What is the smallest common multiple of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 84 - 135. Let w = 115 + f. What are the prime factors of (w\/(-40))\/((-4)\/50)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-992 + 39*h + 992 + 4*h**2)*(8 - 6 + 4).\nAnswer: 24*h**2 + 234*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, t: 5, a: 8, l: 1, i: 2, j: 2}. Give prob of picking 1 t and 3 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*i**3 - 12*i**2 + 69?\nAnswer: -6*i**2 - 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)\/(-2*sqrt(8)))\/(sqrt(24)\/sqrt(96)) - (4 + (0 + sqrt(242))*-5)**2.\nAnswer: -6066 + 438*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 13\/3)*3. Suppose 31 + 129 = 4*n. What is the greatest common divisor of q and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 - 16. What is x rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 - 421*c + 5664. Give b(196).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 31\/14837, 0.04, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 9*c - 141. Let x(d) = -2*d - 2. Give -i(l) - 3*x(l).\nAnswer: -3*l + 147","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 28820 from -0.047.\nAnswer: -28820.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 + 39*d + 144.\nAnswer: -3*(d - 16)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -2*y + 5*v + 11876, 3*y - 17821 = -2*v. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 1190*u - 369. Is d(20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 667*r**2 - 1338*r**2 - 56*r + 125 - 5 + 669*r**2.\nAnswer: -2*(r - 2)*(r + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 > -431426?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 12. What is j(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 + 161*c + 133*c - 294*c.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g + 14. Let t be m(16). Put 2, t, 4 in descending order.\nAnswer: 4, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -o**6\/6 - o**5\/6 - 54*o**2 + 8*o. Let s be ((-9)\/(-6))\/(3\/20). Let l(g) = g**3 + g**2. Calculate s*l(f) + h(f).\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/8*160\/280?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-10) - 6\/(-15). Suppose r = 6*k - 11*k - 5. Let j(u) = -6*u**3 - u**2 - 2*u - 1. Determine j(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4308 is divided by 1434.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -203.\nAnswer: -11\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, s: 6, p: 1, r: 3, y: 2}. Give prob of picking 2 y and 2 r.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/2)\/(1323\/98)*-189?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**4*h\/((h*h**3)\/h)*h\/h**(-1)*h**(1\/2)\/h)**(4\/11) assuming h is positive.\nAnswer: h**(-14\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -80688.5977 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 8:39 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 85 + 2*y - 5*y - 13*y + 8*y in the form l*y + f and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2171569 hours to seconds.\nAnswer: 781.76484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2*(-9)\/324)\/(8\/(-1572)) and 41\/308?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 9*a**2 + 7*a + 5. Suppose 0 = c + c + 8, 0 = 5*q - c - 19. Suppose 4*l = -q*n - 0*l + 16, -2*l = 4. Give x(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4 - 9*x**3 - x**2 + 105*x.\nAnswer: x*(x - 7)*(x - 5)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 - -8. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3064462*t**2 + 1128*t - 733.\nAnswer: 6128924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -352*g + 5301 = 293*g - 474*g for g.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -84 divided by -6\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12491 + a?\nAnswer: 1249b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1 + sqrt(475))*-1.\nAnswer: -5*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54 + 27. Is 10 a factor of -2 + (4 - (g - 0))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 191161.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5a + 15?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 34. Suppose -n - 1 = -y. Calculate the lowest common multiple of y and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-19532)\/171 - (-1 - 1). Let q = -112 - n. Suppose q*v**4 + 4\/9*v**3 - 2\/9 + 0*v**2 - 4\/9*v = 0. Calculate v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/5)\/((-27)\/(-90)). Put 4, 1, k in decreasing order.\nAnswer: k, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 u, and 1 v when four letters picked without replacement from zbvbvvuvzvubv?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*y + 2 + 2 = 0, 5*y = k + 24. Let j be 1*6\/k*(6 + -8). Solve f + j*u = -3, -3*f - 2*f = u + 1 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**3 + 251*w**2 - 3*w**3 - 251*w**2.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 = -4413*x + 4375*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 2\/49009?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -12 + (-2*4 - -4). Let a(t) = -t**2 - 16*t. Let m be a(w). Sort 2, m, -1, -4 in descending order.\nAnswer: 2, m, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4711.7046 to the nearest 100.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/42 and 50\/222207?\nAnswer: 3110898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285828 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31.24 + 33. Round q to 1 dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1900 and 1896 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 7:50 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126042 = -6*y - 2*v, 4*y + v - 56921 - 27105 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 + 1186*y**2 + 102892*y + 201056.\nAnswer: 2*(y + 2)*(y + 103)*(y + 488)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of 0*x + 1\/8*x**4 - 1\/15*x**5 - 1 - 1\/70*x**7 - 1\/3*x**3 + x**2 + 0*x**6. Find the second derivative of n(f) wrt f.\nAnswer: -36*f**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7985 minus -2686.23?\nAnswer: -5298.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23125, 46235, 69345, 92455?\nAnswer: 115565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83930 is divided by 5241.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 11:10 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 108.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.307554 rounded to one dp?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 82 - 81. Is p at most 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2443287945 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105833 and 104670.\nAnswer: 9524970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 18 (b) -2 (c) -2\/3 (d) 5486\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - q - 1. Let w(u) = -23*u**3 + 3*u**2 + 3*u - 24. Let b(g) = -3*v(g) - w(g). Differentiate b(s) wrt s.\nAnswer: 69*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - u - 205 = 0. Let c = -29 - u. Let p = -10 + c. Is p even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 99 + 109 = 0. What is the common denominator of (15\/x)\/((-42)\/(-62)) and 133\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o + 603054 + 359310 = 166*o. List the prime factors of o.\nAnswer: 31, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2. Let o(j) be the first derivative of -7*j**2 + 9. Calculate o(x(k)).\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2140851*y = 2140693*y + 3476 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 345 and 27620?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3060, 5, -285 in increasing order.\nAnswer: -285, 5, 3060","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 1 - 2*l**2 + 17*l - 13*l + l**2. Suppose 0 = -p + 5*h - 5, 0 = -3*p - 2*h - 8 - 7. Let n = p + 10. What is f(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -335 = 5*s + 10. Let o = s - -225. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 298 + -277. What is the remainder when 229 is divided by t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/148 (b) 1\/365 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*l**5 + 120528*l**2*p + 4*l**2 + 32697811*l*p wrt l?\nAnswer: -60*l**3 + 241056*p + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-6)\/(-20) + (-7)\/(-10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100001110100110101 (base 2) to base 4.\nAnswer: -201310311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 9 + 8*z - 75*z to the form d*z + u and give d.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.6979 times -1021?\nAnswer: -9901.5559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x**3 - 10*x**2 - 29*x + 334. What is r(4)?\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**2\/15 + 28*s\/15 = 0?\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/77 in 2\/15, 0.3, 643, 3, 9?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + a**3 + (0*a**2 + 0*a**2 - a**2)*(-a + 0*a + 2*a) - a**3 + 2*a**3 - 2*a**3)*(-a**2 + a - a).\nAnswer: a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2112 + -1423. Let c = -350 + w. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 606213.\nAnswer: 3, 193, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d**3*i + 1847*d**3*v**2 + d**3 - 417*d**2*i + 3*d*i*v**2 + 2*d*v**2 - 3 wrt v?\nAnswer: 3694*d**3*v + 6*d*i*v + 4*d*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 2*j - 13. Let h = -8548 + 8543. What is n(h)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and 0.205.\nAnswer: -0.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8030*o + p - 6 = 8029*o, -3*p + 23 = 2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 11:57 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(1*36)*4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 2*m + 2*m)*(1 - 1 + 2*m) + 3*m**2 + 2*m**2 - 4*m**2 + 3*m**2 - m**2 - 4*m**2 + 1254*m**2 - 2600*m**2 - 9056*m**2.\nAnswer: -10405*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10440341 rounded to the nearest ten thousand?\nAnswer: -10440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uegjjceecjcccje. What is prob of picking 1 u and 1 c?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -51, -107, -207, -363, -587, -891?\nAnswer: -1287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9678, 9679, 9680, 9681, 9682, 9683?\nAnswer: 9684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147419288.\nAnswer: 2, 53, 59, 71, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -690 = -89*t - 26*t. Let s(a) be the third derivative of -1\/20*a**5 + 0*a - 14*a**2 - 1\/120*a**t + 1\/3*a**3 + 0 + 5\/24*a**4. Give s(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 59*m - 7. Let r be j(8). Let a = r - -1540. What are the prime factors of a?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of k**3\/3 + 25*k**2 - 1115. Let r(w) = 32*w**2. What is j(r(a))?\nAnswer: 1024*a**4 + 1600*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (0 + (-2 - -2)). Let i(q) = -2*q**3 + 2*q**2 + 3*q + 2. Let g be i(3). Let b be 24\/(-65) + (-15)\/g. Is b bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6605*o**3 - 11*o**2 + 12*o + 1.\nAnswer: 39630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9540\/13608 - 4*(-1)\/(-7) and -31\/42?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*o - r + 4, 0 = 5*o - 5*r + 5. Suppose 0*u = o*u + 63. Let l be (-2)\/(-3) - (-56)\/u. Which is smaller: l or -5\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**14*t**(-1\/3))**15)**(2\/11) assuming t is positive.\nAnswer: t**(410\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (3321\/72 - -11)*8 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15756577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -8*h**2 + 14*h + 2. What is j(4)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80285\/6 + -13381. Let r = -52 + 207\/4. Which is the third smallest value? (a) r (b) o (c) 0.2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56182*z = 56185*z - 75 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012144 rounded to 4 decimal places?\nAnswer: -0.0121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 53.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6831 - -6831.3. Which is the nearest to -1? (a) -0.4 (b) 3 (c) 5\/14 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1573) - (-2 + sqrt(1573))*-1) + 2)*2 - (0 + 6*(sqrt(104)*-1)\/sqrt(8) + -4))**2.\nAnswer: 400*sqrt(13) + 32516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x - 1. Let q(o) = -o**2 - 2*o + 3. Let p(u) = -q(u) - 2*t(u). Let c be p(-1). Let i be ((-15)\/6)\/(-5)*6. Sort 1, i, c in decreasing order.\nAnswer: i, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1977 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m = 3*d + 201, 956*d - 476*d - 476*d + 4*m = 92 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*g = 100*g - 310. Let y = g - -159. Solve -3*m - y*r + 18 = 0, 2*m - 10 = -r - r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 154*n + 64*n - 83*n + 163*n to the form g + c*n and give c.\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8739*j - 12443 wrt j?\nAnswer: 8739","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 78, 194, 356?\nAnswer: 564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 109314818647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -0.0994539109.\nAnswer: 0.9005460891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37498226?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + o**2 + o - 2. Let v(j) = 3376*j**3 - 3798*j**2 - 3798*j + 7596. Give -2*v(x) - 7596*z(x).\nAnswer: 844*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87314.\nAnswer: 2, 149, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008549746 rounded to 6 dps?\nAnswer: -0.000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -694897*v**3 + 1245393*v**2?\nAnswer: -4169382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 - 55. Suppose -2*q - 3*q + 60 = 0. Solve 4*z = w - y - q, 0 = 2*w + 4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1309, -2626, -3943, -5260, -6577?\nAnswer: -7894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 148*b**2*y - 127*b**2 + 2*b*y - 3*b + 357696500*y wrt b?\nAnswer: 296*b*y - 254*b + 2*y - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(3600)*2 - (sqrt(3600) - sqrt(3600)*2*3))\/(sqrt(36)\/sqrt(3)*-2 + sqrt(96)\/(sqrt(8) - (sqrt(8) + -1*sqrt(8)))) + -3.\nAnswer: -3 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-4 - 0)\/(-4) - 4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -21*g + 2. Let r be z(2). Let f be ((-3)\/(-4))\/((-10)\/r). Let k = 4 - f. Solve 5*n + 7*y - 11 = 3*y, 5*n = -y - k for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1739.315um?\nAnswer: 0.000001739315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*u - 2362*u - 181*u = -55240 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1254502 or 1254500?\nAnswer: 1254500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 7*d - 9. Let i = 135 + -134. What is the least common multiple of t(3) and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -9) + 0 + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5)\/w**(-6\/7))**(3\/8) assuming w is positive.\nAnswer: w**(-87\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*v - 1169*v = 1451*v + 2366*v + 221276 for v.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95995?\nAnswer: 5, 73, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 56*s**2 - s + 1. Let g be n(1). Let t = 60 - g. Suppose 5*i + t*i = 1197. What are the prime factors of i?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 36\/13, -11, 2, 0.2 in descending order.\nAnswer: 36\/13, 2, 0.2, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 11235.9 to the nearest 100.\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 2. Let w(v) = -2*v**2 - 2. Let q(c) = c**2 + 1. Let t(n) = 3*q(n) + 2*w(n). Determine -2*t(g) + x(g).\nAnswer: -g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + k**2 - k - 1. Let p be v(0). What is the tens digit of (21\/(-14))\/(p\/42)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*v**2 - 3*v**2 + 0*v**2)*(2 - 9*v**2 + 25*v**2 - 13*v**2 + 3*v) to w*v**3 + t*v**4 + x + i*v**2 + a*v and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 7*t + 4734 - 4747 = 0, 3*m + 5*t = 11 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 33*v. Let d(n) = 3*n**2 + 3*n - 4. Let t be d(-2). Let c(s) = 186*s - 186*s + t*s**2 - s**2. What is c(w(h))?\nAnswer: 1089*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 2*t + 0*t**2 + 0 - 7\/6*t**3. Let h(s) = 2*s**2. Calculate g(h(m)).\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-31*(-744)\/(-73036))\/((584\/(-19))\/4)\nAnswer: 3\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*c*v**2 + 16*c + 390*v**2 wrt c?\nAnswer: 5*v**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjbphjajcjcjjpjjh. Give prob of sequence ppc.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (3 + -5 + (7 - 8)) - 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1407 - 5?\nAnswer: -1413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ux when two letters picked without replacement from {i: 4, b: 1, x: 5, u: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26571646 divided by 13285823.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.11, -786.\nAnswer: -786, -0.11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35911, 35967, 36027, 36091?\nAnswer: 36159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 11:42 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - i. Let y be (2\/3)\/(2\/(-3)). Let u be d(y). Let b = -1674220.6 + 1674221. What is the closest to u in -3\/8, 2, b?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-1))\/(0 - -1). Suppose 4*j - 5*m - 7 = -0*m, -4*j - m + 37 = 0. Calculate the remainder when j is divided by 1*(1 - 1 - q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 251.18853ms to minutes.\nAnswer: 0.0041864755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*a - 363 = 56*a. Calculate the highest common factor of 3 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6972477467 less than -5?\nAnswer: 6972477462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o + 5. Suppose -375 = -5*n - 0*n. Calculate the remainder when n is divided by l(-7).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/66)\/(1\/(-3))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1 = -v, -5*q = -31*v + 34*v - 5. Which is smaller: -733 or q?\nAnswer: -733","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69764 is divided by 726?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 24916.75 minutes in seconds?\nAnswer: 1495005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/10)\/((-42)\/308*-11)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*k - 0*k. Suppose 27 = -b + k*b. Solve -5*n = s - 16, -3*n - 3*s = -n - b for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, h: 2, v: 1, s: 9, p: 7}. What is prob of sequence ghh?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 78 + -54. Suppose t = 4*m + 27, t + 2*m - 25 = -2*t. What is the remainder when n is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, g: 1, a: 1, u: 1, m: 1}. What is prob of sequence mg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 2*v + v)*(9 - 6 + 21) + (-4 + 2 - 5)*(v - 2*v - 3*v).\nAnswer: 52*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ms when two letters picked without replacement from {m: 7, s: 2}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w + 2. Suppose 3*h - 2*m + 3 - 18 = 0, -2*h + 4*m = -18. Let u be (-1)\/(3\/(-9 + h)). Let t(f) = u*f + f + 5*f + 5 + 0. Determine 11*c(j) - 4*t(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 - 40604?\nAnswer: -40615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 269\/330 + -1\/66. Find the common denominator of -25\/7 and a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 6. Let m(k) = -28*k - 294. Determine 3*m(a) + 147*z(a).\nAnswer: -231*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80 + 80 + 50*y to the form n + m*y and give m.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y + 1. Suppose 2*h = -10 - 2. Let p be n(h). Suppose -4 - p = -3*f - 4*q, 0 = 4*f - 5*q - 2. Is 3 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 24766*a**2 + 610*a + 610. Let n(i) = 122*i**2 + 3*i + 3. Let h(s) = 610*n(s) - 3*p(s). Let z(x) = -2*x**2. Determine z(h(g)).\nAnswer: -29768*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -324 divided by -4\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**5 - 48*g**4 + 1353*g**3 + 37254*g**2 + 300240*g + 808704 = 0.\nAnswer: -16, -9, -8, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -302, -2221, -7068, -16199, -30970, -52737, -82856, -122683?\nAnswer: -173574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 + (-2172)\/5508*119.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 23*g**3 - 2*g**2 + 100*g - 234. Is d(25) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/528 and -53\/46552.\nAnswer: 279312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2278718093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -4. Let p = 182\/23 + -1542\/253. Find the common denominator of p and 4\/14 - 23\/v.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1783829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2 = 2. Suppose 4*i - 19 = -q, 3*i + 2*q = 2*i - 4. Let w(n) = -n + 0 + 0*n + n**g - i - 3*n. Give w(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 7*d**5\/60 - 5*d**3\/6 - 5*d**2. Let r(z) be the first derivative of -22*z**3\/3 + 16*z + 23. Calculate 16*j(k) + 5*r(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 20*y**3 + 32*y**2 - 32. Let x(r) = -3*r**3 - 5*r**2 + 5. Let l(t) = -5*m(t) - 32*x(t). Factor l(s).\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 3*m**3 - 4 - 105*m - 662*m.\nAnswer: -3*m**3 - 767*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -6*y**3 - 1170*y**2 - 70*y - 13484. What is z(-195)?\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1313243 (base 10) in base 13?\nAnswer: -36c989","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**2 - 87*f + 168. Let j be v(2). Solve -j = -u - 4*n, -2*u + 2*n - 2 = -4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.9 less than -36.3?\nAnswer: -41.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (9 - 3 - -12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3 = 0, 10*o - 7*o = -6*y + 114. What is the remainder when o is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3876387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 g when four letters picked without replacement from qqqgqqqgggqgqqqqqqqq?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -448 in 0.05, -6, -1.5, -0.2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 6*t - 2. Let m be l(5). Let d = -28 + m. Solve -4*a = -d*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 204 - -928. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -49*r**6\/120 - 7*r**5\/10 - 6283*r**3\/6 + 2433*r**2. Differentiate s(h) wrt h.\nAnswer: -147*h**2 - 84*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 4*m**2 - 4*m. Let o(q) = -q + 2. Let d be o(2). Suppose v + 4 + 0 = d. Let t(k) = -k**2 - k. What is v*t(x) + l(x)?\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + p - 33 = 0. Let m = -7 + p. Suppose m*o - 34 = 2. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 1688*h**2 - 1. Is j(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/v**(-2\/9)*v)\/v)\/v**(-1\/3)*(v*v**0*v)\/((v\/((v*v*v*v**(-7)*v*v*v)\/v)*v)\/v))**(1\/17) assuming v is positive.\nAnswer: v**(14\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2067914?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -36ab0 (base 12) in base 10?\nAnswer: -74148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 3)\/(11\/(-11)*(-1)\/(-1))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 6*p - 18. Suppose 2*q = 5*b + 43, -6*q = -2*b - 11*q + 6. Let r = p - b. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**3\/3 + 2*d**2\/3 - d = 0 for d.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 2*p - 2*p)*(-16 + 1 - 13).\nAnswer: -56*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 3*i - 5. Suppose -2 = -r - 0*r. Suppose 2*a = a - r. Is a at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 23*d + 437 = 0, 0 = o + 201*d - 205*d + 76 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -2\/11, 5, -0.09, 0.1.\nAnswer: -2\/11, -0.09, 0.1, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/37 and -7\/1031.\nAnswer: 38147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/3)*((r**2\/r)\/r*r)\/r*r*r\/(r\/r**(-2\/5)*r*r)*r*r**12)**(-23) assuming r is positive.\nAnswer: r**(-3887\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 84636.\nAnswer: 338544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 119 - 120.2. Sort j, -128, 2\/17.\nAnswer: -128, j, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1291, -2581, -3871?\nAnswer: -5161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.0959 times -0.3?\nAnswer: 1.82877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11860*r - 689868 = 11842*r. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -4. Let r be 4\/(a - 44\/(-6)). What is the closest to 1\/2 in 1, 0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7182 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -18 - (-18 + 14) - 6 - 0?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-18)*y\/(y**(-7\/2)\/y)*(y*y\/y**0)\/(y*y\/y**(-8)) assuming y is positive.\nAnswer: y**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*u - 94*u - 9503 = 4063 for u.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-8)*(-2)\/(-4). Put w, -0.5, -0.2 in decreasing order.\nAnswer: -0.2, w, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 6 + 28 = 0. Let d(g) = -6*g - 62. Let u be d(x). Let l be -3*1 + -1 - 1. What is the third smallest value in u, -0.2, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -23 (b) -0.5 (c) 0.1 (d) 2\/7 (e) 2\/11 (f) -142\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/3*-6*1. What is the second derivative of -11*h + h + r*h + h**2 wrt h?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 8 = 0, -2*h - 9 = 5*w - 4*w. Let b = w - -10. Sort -2, b, 2 in descending order.\nAnswer: 2, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -66340*i**2 + 35*i - 14358191?\nAnswer: -132680*i + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 715 = h - 2*q + 707, 8*q = 4*h + 13*q - 19 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 17*z - 1. Let q(b) = -b - 2. Let l(t) = m(t) + 3*q(t). Let x(o) = o. Calculate x(l(u)).\nAnswer: 14*u - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20741799 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 44*f**5 + 6*f**4 - 34*f**2 - 6*f + 6. Let b(w) = w**5 + w**4 - w**2 - w + 1. Let l(x) = 6*b(x) - d(x). Find the third derivative of l(y) wrt y.\nAnswer: -2280*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21021 - 1?\nAnswer: 21020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -0.2, -3.8, 0.37, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157235.\nAnswer: 5, 13, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -82 + 36 + 2695*m**2 - 65*m + 31 - 88*m + 12*m**2 wrt m?\nAnswer: 5414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.529 - -81.471. Which is the second biggest value? (a) t (b) -2 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/3682 and 81\/19462.\nAnswer: 136234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**3\/3 + 2*a**2 - 3*a + 5. Let h be c(-5). Suppose 4*r - 326 = h*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 + 1339 - 1343 + 2*g**2.\nAnswer: -2*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -33361*q + 13. Let j(o) = -13*o. What is j(f(u))?\nAnswer: 433693*u - 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -13. Suppose -5*k - 3 = -33. Suppose -k = -3*c, 3*c - 2 = 3*v - 59. What is the greatest common divisor of q and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3824301 and 988.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2670970271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1 + 4*m)*(4*m**3 - 7*m**3 - 2*m**3).\nAnswer: -20*m**4 + 5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(2\/79))**(2\/9))**33)**(1\/41) assuming b is positive.\nAnswer: b**(594\/3239)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 10:28 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13068 and 1836.\nAnswer: 222156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5530200*0.092.\nAnswer: 508778.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 6:04 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*sqrt(128) - -5*1*sqrt(128).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -30*l - 5. Calculate z(2).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**3 + 2*m + 0*m - 2*m**3 + (2*m**2 + 3*m**2 - 2*m**2)*(-2*m + m - 3*m).\nAnswer: -11*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 10, d: 10}. What is prob of sequence ddo?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 43*g**2 + 268*g + 4361. What is d(-39)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -584989408 by -146247352.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10314 + -30932\/3. Factor 25\/6*m**2 + 5\/3*m**3 - p*m - 5\/2.\nAnswer: 5*(m - 1)*(m + 3)*(2*m + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -6. Let q(w) = 3*w**2 + w + 4. Let f(i) be the first derivative of -i**3 - i**2\/2 - 3*i - 4. Let k(t) = 4*f(t) + 3*q(t). Give k(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13788 and 20682.\nAnswer: 41364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b - 2. Does 3 divide t(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 2 - 14. Suppose 2*s - 4*d - 6 = -3*s, -j = 3*d. Let u be (s - 2\/(-2))*-1. What is the nearest to 0.1 in u, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 1:01 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -42 - 24*v + 45 + 8*v as c + d*v and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.761 + -15.061. Let n = -1.6 - -2. Which is the nearest to t? (a) n (b) -2\/9 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10 - (2 + -3) - 2. Let s(z) = 4*z + 13. Is s(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -744 = -65*x + 59*x. Let c = x + -113. Solve c = -3*p - 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000951118539 to 6 dps.\nAnswer: 0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 6 - 7)*(0*h**2 + 8*h**2 - 3*h**2) + 136 - 136 - h**2.\nAnswer: -51*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3235949, -6471901, -9707851, -12943799, -16179745?\nAnswer: -19415689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 10:15 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19171672 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 45*s - 968. Give d(21).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -29, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/40 or 0.0067?\nAnswer: 0.0067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*(sqrt(180)*1)**2 - (sqrt(180)*-2*-2 + sqrt(180))) + 6*2*(sqrt(180)*1)**2 + -4 + -5.\nAnswer: -30*sqrt(5) + 1966","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) 11 (b) 3\/2 (c) -0.5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b2 - c8?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f - 1. Let t(x) = -5*x - 5. Suppose 173 - 193 = -5*k. Calculate k*v(a) - t(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 151\/2? (a) -4035 (b) 1 (c) 4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -120, -3\/4, 0.4?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 650669 is divided by 23224?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4*sqrt(735)*6 + sqrt(735))\/(sqrt(10)\/sqrt(98)*-1) + 2.\nAnswer: 2 + 3675*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4094787, 8189574, 12284361, 16379148, 20473935?\n\"Answer: 4094787*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 16, 0.04?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-173 + 1329 - 60)*(4*w - 4*w - w)*(1 + 1 + 0) in the form c*w + r and give c.\nAnswer: -2192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 2241?\nAnswer: -2300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 - 29631336*q - 109752009143112.\nAnswer: -2*(q + 7407834)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 3*v - 0*v - 20, 0 = -2*v - d + 10. Suppose 3*b - 2*n - 89 = 33, -v*n - 168 = -4*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(70) + (sqrt(70) - (sqrt(70)*-6 - sqrt(70))*2 - sqrt(70))))\/(sqrt(160)*-3 - ((-3*sqrt(70) + sqrt(70) - sqrt(70)) + sqrt(70))\/sqrt(7)))**2.\nAnswer: 1575\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4 = -2. Solve 1\/2*y**3 + 1\/2 + 3\/2*y + 3\/2*y**o = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 164, 1212, 4050, 9572, 18672, 32244?\nAnswer: 51182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 5*a - 75, 12 = a + 2*a. Solve -4*n - 9 = j for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1762 = -7*r - 93. Let a = 156 + r. Let o = -105 - a. Solve o = k - 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 455*-78\nAnswer: -35490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484 is divided by 129?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23075459 is divided by 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5126489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -22b9 + -2?\nAnswer: -22bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240\/150*((6 - 3) + (-26603)\/(-4))?\nAnswer: 2, 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d. Let j(w) = w. Let i(f) = -5*j(f) + n(f). Let z(m) = -m + 0*m + 0*m. Calculate i(z(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-38)\/56*(-2 + 0). Let l = r + 1\/7. Which is the closest to 1\/2? (a) -3 (b) -0.4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1426*r + 668.\nAnswer: -1426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 4*z + 37 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -1\/2, 117, -1, -0.09, 45?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 + 42. List the prime factors of h\/(-3)*729\/18.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*l**3 + 15*l**3 - 24*l**3 + (2*l + 7*l + 3*l)*(-2 + 2 + l**2).\nAnswer: -11*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -74*n + 74*n + n**2 - 2*n**4 wrt n?\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) + -1*(sqrt(432) - (sqrt(432) - -2*sqrt(432)) - sqrt(432)))\/(sqrt(54)\/(sqrt(24)\/sqrt(4))) + 2)**2.\nAnswer: 64*sqrt(3) + 772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35185\/7 - -457440\/91. Suppose 3*o - 5*c + c = -13, 5*c - 16 = 4*o. Is h >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**3\/3 + 8*x**2 + 15*x - 422. Calculate s(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39819 or -39817?\nAnswer: -39817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -71.6804 to 0 dps.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/3)*x**(-3\/10)*((x**(-1\/39)*x)\/x)\/(x**(-3\/13)\/x) assuming x is positive.\nAnswer: x**(223\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-5)\/(390\/(-48)). Which is smaller: -2 or m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 - 1.103769?\nAnswer: -87.103769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3600)\/42)\/(1\/7). Let i = -207 - -255. What is the remainder when i is divided by ((-1)\/2)\/(12\/j)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88 + (-5)\/(20\/8)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 167411 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 149342 and 534.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 j when four letters picked without replacement from {h: 6, j: 4, q: 2}.\nAnswer: 16\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 83*v - 34. Let w be g(-1). Let y = w + 121. Solve -4*j + 5*p + 1 = -0, -5*j + 32 = y*p for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 68*q - 40. Let i(k) = -136*k + 81. Let r(z) = -3*i(z) - 5*n(z). Let f be r(8). Suppose -l + f = 2*l. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -l + 2*m + 22, 0 = l + 5*m - 11. Suppose -k - 2 + l = 0. Suppose -4*t - 86 = -2*y, k*y = -2*t - t + 216. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.5 and 1.72?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 267 and 13050.\nAnswer: 1161450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.4, -40, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y + 165 + 2*y - 377 + 212.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 4)*(1510 + 80*p - 1510)*(8 - 2 - 1)*(-3 + 0 + 1)*(-1 - 1 + 1).\nAnswer: 1600*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65 + 207. Calculate the remainder when l is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 433*o = 437*o, 0 = n + 2*o - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1986845.\nAnswer: 5, 7, 56767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*j + 124753 = 0, 29*j - 28*j - 124733 = -3*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/(21\/(-12)) + 6. Let n be 2 - 4 - (y - 1). Let l be n\/1 + 6\/(-2). Which is smaller: l or 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-1 - 3) - (40 - 35)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -66033450 (base 7) in base 5?\nAnswer: -2421434430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - 2*x + 18, -3*b = -56*x + 52*x + 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5 = -2*q, 5*h - 4 - 1 = -5*q. Suppose q*k - 7 = 31. Calculate the greatest common factor of 323 and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -45 <= 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9, 37, 81, 141, 217, 309, 417?\n\"Answer: 8*z**2 + 4*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.7604742 + -2.260458. Let t = 3.5 - q. What is t rounded to 6 dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j**2 + 4*j**2 - 6*j**2)*(41*j + 48*j - 44*j).\nAnswer: 180*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + b = 50, 3*v + 6371647*b - 53 = 6371649*b for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -3, 0.064, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*g - 896 = -76, -3*a - 4*g = -1184. Is 20 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13052455 (base 7) to base 2\nAnswer: -100100010011000101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1158, -4933, -11210, -19989, -31270, -45053, -61338?\n\"Answer: -1251*b**2 - 22*b + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -4*z - 8. Let r(s) = -s - 1009. Give r(q(h)).\nAnswer: 4*h - 1001","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oro when three letters picked without replacement from {u: 2, r: 6, o: 4}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2)\/(a\/(a\/(a*(a\/(a**(4\/7)*a))\/a))*a)*a**(-6)\/a**(1\/2))**(10\/3))**(-9\/4) assuming a is positive.\nAnswer: a**(1875\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 587 + -197. Is 65 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 63\/18 + 2\/4. Suppose 0 = -v*t - 0*t + 24. Let y be (-4)\/t - 88\/(-33). Solve -4*b - n - 16 = y*n, 0 = -5*b + 4*n + 11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -252 and 0.\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 378 and 42.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.3 + 8.3. Let p = -6.9 + d. Let v = p - 0.1. Are v and -1\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 6:03 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 6*s + s)*(-42 - 11 - 27)*(0 + 3 - 4 + (5 - 2 - 2)*(2 + 0 - 5)).\nAnswer: -640*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 55243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 1:39 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*k*k**(-1\/8)*k*(k\/((k**(-29)*k)\/k)*k)\/k assuming k is positive.\nAnswer: k**(271\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -1. Let m(y) = 2*y**3 - 2*y**2 - y - 2. Suppose -2*c = 2*c. Suppose 3*x - x + 2 = c. Let d(o) = x*j(o) + m(o). Give d(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 - ((-4)\/(-10) - (6520\/(-200) + 44) - -10)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (1 - 0)) + (0 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 4 + 12*w**2 - 27*w**2 - 4*w + 15*w**2. Let z(f) = -9*f**3 - 33*f - 33. Suppose -d + 134 = 4*p, 4*d + 93 = 4*p - 31. What is p*g(m) - 4*z(m)?\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 2. Suppose -s*l = -5*x - 14, 2*x - 35 = -l - 4*l. Suppose -5*p + 67 = 2*q - l, 0 = 4*q - 2*p - 172. Is q a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 4:00 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4336 = -5*z, -3*z + 0*z + 2*s = -2604. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 times 98098?\nAnswer: -1765764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67237.56ng to micrograms.\nAnswer: 67.23756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sspsmmssmrrprrsq. What is prob of picking 1 q, 1 s, and 1 p?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -562 divided by -1.\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6113, 48997, 165395, 392063, 765757?\n\"Answer: 6126*u**3 + u**2 - u - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - -3. Let a(k) = 7*k**2 + 50 - 8*k**2 + 41. Let r be a(0). Calculate the greatest common divisor of h and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.2 - -0.3. Let o = l + -3.4999958. Round o to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/1)\/(-2)*1\/8.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -0.117?\nAnswer: -0.0468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-1))\/(7\/(-14)). Suppose c - d = -0*c. Let f(s) = s**2 - 2*s + 1. What is the remainder when f(c) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 + (19 - 8) - ((4 - -2) + -3)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 z, and 1 q when three letters picked without replacement from zsgsszqsr.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 13*r**3 - 2. Let i(a) = 53*a**3 - 9. Let s(l) = -l**2 - 49*l - 492. Let q be s(-14). Give q*i(v) + 9*u(v).\nAnswer: 11*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-9) - (-40)\/18. Let v be 9\/5 + k\/10. Solve -v*m + 3 = -m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -5. Suppose 0 = -r*q - 35891 - 622109. What is q rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -2, 2\/3, 3\/7, -0.01522, 25?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -14.97. Let b = 5 + g. Let a = -1.03 - b. Is a at most -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -1 + 0*a**2 + 0*a + 1\/20*a**5 + 1\/3*a**3 - 1\/45*a**6 + 1\/12*a**4. Let c(j) be the third derivative of m(j). Factor c(s).\nAnswer: -2*(s - 1)*(4*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43079.\nAnswer: 23, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + (sqrt(70) + -3*sqrt(70))*-2)\/(sqrt(10) + sqrt(10) + 1*sqrt(10)*-5).\nAnswer: -5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, 209, -4, -2\/63?\nAnswer: 209","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0*b = -2. Let w = b + 98. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 v when two letters picked without replacement from {i: 1, s: 4, f: 1, g: 2, v: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 9 + 1 = 0. Suppose 7 = -f + 10. Solve -b*l = f*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -68 (b) 0.1 (c) 2\/5 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25\/16? (a) -5 (b) -9 (c) 6 (d) -2\/7 (e) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -9. Suppose 5*a - m*p + 0*p - 18 = 0, -a - 3*p = 10. Let l be 14\/10 - a\/5. What is the smallest value in -3\/7, -0.3, l?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + x = 0. Suppose -3*m + 3 = -3*a - 0, x = -4*a - 4*m - 44. Is (5\/2)\/(a\/(-60)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129719?\nAnswer: 129719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 777125 (base 9) to base 13\nAnswer: 133550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3520 and 3128048?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -295 in -1\/4, 12, 1\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -13.2.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 104 + -64. Let x = u + -36. Solve 3*m - s - 31 = x*s, 0 = 2*m + 3*s + 11 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (0 + (sqrt(2) - (sqrt(140)\/sqrt(10) - sqrt(14))\/sqrt(7)) - (sqrt(10)\/sqrt(5)*3 - sqrt(2) - (sqrt(24)\/(sqrt(12)*1) - sqrt(2)))))**2*-5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 626897330?\nAnswer: 2, 5, 62689733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 581 - 2246 = 0. Let g = 3 + q. What is g rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5 = 20. Let c = 11 - i. Suppose -b + 14 + c = 3*j, 19 = 3*j - 2*b. What is the remainder when 20 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 12 = 0, -34 = -3*j + 4*i - 3*i. Suppose -j*l + 15*l - 5*n - 15 = 0, l + n = -1. What is the least common multiple of l and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(4\/(16\/2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 21*s + 87*s + 8.\nAnswer: 108*s + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1684 (base 13) to base 2\nAnswer: 110011110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 61 = -z - 3*g - 58, -383 = 75*z + 2*g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/1*9\/6. Suppose j*n - 163 + 55 = 0. Calculate the common denominator of (-219)\/n - 2\/1 and -41\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 9*f**2 - 21*f - 47. List the prime factors of b(14).\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(2\/((-28)\/21)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 9, q: 5}. Give prob of sequence qbqb.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 394933807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 148, 441, 986, 1861, 3144, 4913?\nAnswer: 7246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1035 - -1046. Let p(f) = -f - 4. Let l be p(-6). Suppose -n = -l*x + 3*n - 4, 5*x - 8 = 4*n. Solve 9 + r = -x*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 140 + -8. Let b be r\/10 - ((-32)\/(-10) + -3). Let g = b + -17. Let z(w) = w**2 + 3*w - 3. What is z(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 3:31 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -236, -316, -396, -476, -556?\nAnswer: -636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0) + (16 - 8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2408 divide 685603116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 21*p**2 - 86*p - 124. Give m(-8).\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1057, 2071, 3059, 4009, 4909, 5747?\n\"Answer: -2*q**3 - q**2 + 1031*q + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (-84)\/(-7) - 38\/(-19). Calculate the greatest common divisor of i and 42285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1209, -1206, -1201, -1194, -1185, -1174, -1161?\n\"Answer: v**2 - 1210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2000706*n**2 + 1694176 wrt n?\nAnswer: 4001412*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a*m*w**2 - 7*a*m*w - 142*a*m - 26*a + 900*m*w**2 - 4*w**2 wrt w.\nAnswer: -6*a*m + 1800*m - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 11*a - 42. Suppose -98 = -a*u + 14*u. Calculate the highest common divisor of u and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -63c5c0?\nAnswer: -63c5bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -21. Let q = 281.58 + -293.58. Which is the closest to x? (a) -2 (b) 1\/4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus 0.0875?\nAnswer: -4.9125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 29 = 45. Let y = -21 + k. Suppose -5*f + 71 - y = 0. Let n(m) = 6*m + 2. Let a(q) = -17*q - 6. Determine f*n(z) + 4*a(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*g - 35*g = -78*g - 20783 - 1918 for g.\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-6 + (0 - -1 - 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 6:42 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1333*o = 1343*o + 31550 - 82690. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.06 - 1.082. Let z = b + 0.0220074. What is z rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/3151971 and -38\/1050657.\nAnswer: 3151971","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -4038619.\nAnswer: 1615447.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/4)\/d)**(-7)\/(d\/(d**(-7)\/d))**(3\/4))**(4\/21) assuming d is positive.\nAnswer: d**(8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**6*v**6*(v**0)**21*(v*v*(v\/(v\/v**(-2\/5)))\/v*v*v)**(-13)*(v**(-1\/2))**30 assuming v is positive.\nAnswer: v**(-184\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67*s**2 - 8*s**2 - 6*s**2)*((-3 + 2 + 2)*(-2*s + 2 - 2) - s - 2*s + s).\nAnswer: -212*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1247 + 1405 = -79*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 100903801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182\/(-11375) - 4784\/(-95875).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 1855188*o + 24117447. Give x(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3848204530?\nAnswer: 2, 5, 31, 83, 149561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*o**2*v**2 - 27*o**2*v + 17*o**2 - 84*o*v**2 - 182*v**2 wrt o?\nAnswer: -82*v**2 - 54*v + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 11 + -2 + -32 + (11 - -36).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 0.094.\nAnswer: -0.0094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 37.847, 5.\nAnswer: -3, 5, 37.847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 4*f - 7 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 11 + -3 - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 3*d**6\/16 - 46*d**5\/15 + 379*d**4\/48 - 14*d**3\/3 + d**2 - 39*d - 27. Factor b(p).\nAnswer: (p - 7)*(p - 1)*(45*p - 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 97*k = -92*k - 7994, -t + 2*k - 2664 = 0. Which is greater: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, j: 2, t: 3, o: 4, m: 1}. What is prob of picking 1 d, 1 t, 1 o, and 1 j?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 424 = -5*h + 411, -3*t + 9 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, w: 7}. What is prob of sequence vw?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 509 by 21.\nAnswer: 509\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 52*u - 666. What is s(12)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -449, -1806, -4069, -7238, -11313?\n\"Answer: -453*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v - 14. Let o be f(-20). Let q(z) = z**2 + 15*z - 5. Let t(n) = -3*n + 2. Let d(i) = -q(i) - 6*t(i). Give d(o).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 j when four letters picked without replacement from {j: 8, k: 5}.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 7) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-4))\/((-1)\/(-12)). Suppose 0 = -2*o - o + r. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11174 - -11179. Solve 7*m + u = 6*m, -3*g = 3*m + 18 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-4) + (-56)\/(-96). Let l = 0.07 + -0.6. Let c = l + 0.03. What is the second biggest value in j, c, 7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -5*z**3\/2 - 35290*z**2 - 249429345*z\/2 - 1243620225 = 0.\nAnswer: -7053, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 1\/361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-40)\/115)*(-426)\/(-213)?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millimeter in nanometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 106 - 96. What is the closest to 1 in 5, d, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (-207)\/64 - (-685)\/548. Let v be (2\/4)\/((-6 - -3)\/(-6)). Is v at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -3*w, -4*j = -2*w + 229 - 219 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2. Let a be b(1). Let r(l) = -18*l**3 - 1 + l**2 + 0 - 3*l**3. What are the prime factors of r(a)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1*(5*sqrt(52)\/sqrt(4))**2.\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**6\/120 - 2*h**5\/15 + h**4\/8 + 11*h**3\/2 + 2*h**2 + 8. Is z(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2475 (b) -3\/4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -624, -3, 1\/2.\nAnswer: -624, -3, -2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1526423\/136 + -144885\/34. Let m = l + -6950. What is the common denominator of m and -151\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -58 (c) -2\/15 (d) -4 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*u, u = s - u + 6. Suppose -5*d + 5*v = 4*v - 95, 20 = s*d - 4*v. What is the least common multiple of d and 50?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*n + 0)*(n**2 + 2*n**2 - 4*n**2) + (2*n + 2*n - 5*n)*(-1 - 4 - 1)*(-66 - 61 + 132)*(-3*n**2 + 2*n**2 - n**2).\nAnswer: -58*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 298197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**13)**5 assuming s is positive.\nAnswer: s**65","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 2496?\nAnswer: 2496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 51.14 and -68.\nAnswer: -3477.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cff when three letters picked without replacement from ccmccsmcfffffmcc.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**5\/20 + a**4\/2 + 4*a**3\/3 - 7*a**2\/2 - 4*a. Let i be w(7). Solve i = -4*f + 3 - 11 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0 + 3. Let b(i) = 6*i - 4*i - z + 0. Let u(r) = 17*r + 26. Let m(g) = -20*g - 30. Let n(v) = 6*m(v) + 7*u(v). What is -3*b(s) - 4*n(s)?\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 187 - 184. Suppose 0 = -4*d + 2*s + w*s + 812, 0 = -s. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6556.5 times -125\nAnswer: 819562.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2. Let f(n) be the second derivative of -1273*n**3\/6 - 1065*n. What is p(f(y))?\nAnswer: -3241058*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-2) - 9\/((-12)\/(-4)). Solve 5*c - 5*u - 25 = 0, g*c - 8 = -c + 2*u for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 4349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-3) + -13 + (77 - 261)\/(-4)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((2 - 3)\/3)\/(72\/(-695088))?\nAnswer: 2, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -49567d2a + -1?\nAnswer: -49567d2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - -9) + 5 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 + 37. What is the units digit of ((-7)\/(7\/2))\/(-4 - g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -86\/2263 not equal to 0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*z + 14 = 2*z, -11 = -2*j - 5*z. Suppose 2*r - 76 = 3*g, -j*g + 6*g = -3*r + 114. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z - 4*z**2 + 5*z**2 + z**2.\nAnswer: 2*z**2 + 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -4\/3*x**3 - 3*x - 1\/4*x**4 - 3\/2*x**2 - 3. Let v = 0 + -3. Give q(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197782 is divided by 65925?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + i + 14 = 4*i, -2*y - 2*i + 48 = 0. Suppose -p = -y + 1. Is p a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.73744662 and -0.5.\nAnswer: 0.36872331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 28799 to the power of 1\/2, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (-20 + 6 + 27).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 356\/(-4005)*-495 + -77.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) - (sqrt(300) + (sqrt(300) + sqrt(300) + (sqrt(300) + sqrt(300)*-3)*4 - sqrt(300))))\/((sqrt(72) + 6*sqrt(72)*-1)\/sqrt(12)).\nAnswer: -7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 4. Let b = 6 + -20. Let j = 19 + b. Suppose 0 = j*x - 0*x. Calculate h(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4576, -5045, -5826, -6919, -8324, -10041?\nAnswer: -12070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3930 and 24?\nAnswer: 15720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**14*y*(y**(-18)\/y)\/y)\/(((y\/(y\/(y\/((y**41*y)\/y))))\/y*y)\/y*y**(8\/9)) assuming y is positive.\nAnswer: y**(73\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - h + 1. Let q(i) = -44*i**2 - 20*i - 10. Let k(s) = q(s) + 10*y(s). Find the second derivative of k(z) wrt z.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + n - 2 = -6, -2*b - 3*n = 4. Put 0.11, 0.4, b in decreasing order.\nAnswer: 0.4, 0.11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 12*y**2 + 10*y + 15. Let v be p(11). Suppose 6*f - 12 = v*f. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j + 1. Let v(o) = 2*o**3 + 6*o**2 + 4*o + 7. Calculate -v(h) + 4*z(h).\nAnswer: -2*h**3 - 6*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 79.967 - 80. Let n = 63.033 + c. Let d = -63 + n. What is the nearest to 4 in d, 3\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**4\/3 + 138*w. Let k(n) = -11*n**2 + 4*n. Calculate k(t(d)).\nAnswer: -176*d**4 - 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a decade in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 154 + 434. What is the remainder when ((-2)\/4)\/((-7)\/o) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a centimeter in micrometers?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, d: 1, l: 3, m: 2, a: 2}. Give prob of picking 1 e, 1 m, and 1 a.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*l - 100 = 0. Let g(q) = 2*q**2 - 4*q + 5. Let z be g(5). Let v = z + l. What is the remainder when 44 is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 12*q + 1. What is the smallest common multiple of i(13) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -384, -463, -574, -711, -868, -1039, -1218, -1399?\n\"Answer: d**3 - 22*d**2 - 20*d - 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 2)\/(2\/3). Suppose -b*t - 2*t = -105. Calculate the remainder when t is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + -23. Let y = -10 - t. Is 6347\/y + 2\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 3)*(-42)\/(-112)*-2. What is the highest common divisor of 471 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d**2 + 2*d. Let h(a) = 4*a**2 - 3*a. Let z(b) = -3*f(b) - 2*h(b). Let i(q) = 3*q**2 + q**2 - 2*q**2 - q**2. Calculate i(z(l)).\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i + 8*i - 447 + 447 - 25*i - 7*i.\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 44 = c. Suppose -5*v + 3 + 147 = 0. Suppose o - v - 2 = 0. What is the remainder when o is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**3*i**2 + 3*b**3 + b*i**2 + 1907*b*i - 344 with respect to i.\nAnswer: 4*b**3*i + 2*b*i + 1907*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 598 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z**2 + 30*z + 20. Calculate l(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 3*w - 3*w)*((-5 - 2 + 6)*(0 - 3 + 4) + 2 + 5 - 3).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(130) + sqrt(130) + (sqrt(130) + (sqrt(130) - 2*((sqrt(130) - 3*sqrt(130)) + sqrt(130))) - sqrt(130)) + sqrt(130))*2)\/(-3*sqrt(40)*-1))**2.\nAnswer: -20*sqrt(13) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27 + 51 - 35)*(-4 + 8 + 1)*(1 + 3*h - 1)*(-1 - 5 + 3)*(-1 + 5 - 2) as n + t*h and give t.\nAnswer: 990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2328 and -5231897.09.\nAnswer: -5234225.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1936 * 0.0205.\nAnswer: 39.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + -15 + 52 + 44.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1320 - -2304422?\nAnswer: 2303102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 + 16. Let b(n) = -2*n - 150. Calculate b(r(g)).\nAnswer: 4*g**2 - 182","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 22 - 5*g**3 - 21 + 20*g**3. Let y be m(1). Let d = 19 - y. Solve 5*v - 5 = 5*h - 4*h, -d*v = 4*h - 26 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -6. Let z be -2 + (q - (2100004 + -3)). What is z rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 36 - 140 = 0. Let h = r - -12. Let q = h + 68. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.15? (a) 4 (b) -4 (c) -1.9 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -500\/7 - -443\/7. Calculate the common denominator of w and -101\/68.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55.9 - -68. Let p = -9.1 + f. Let q be 5\/6 + (-8)\/8. What is the smallest value in q, -5, p, 18?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b419 - 4?\nAnswer: b415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 13*f. Let m(s) = 11*s + 2. Let t(u) = -2*u - 1. Let p(o) = m(o) + 2*t(o). Determine 6*a(b) - 11*p(b).\nAnswer: -6*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1803.1 + -1730. Let h = y - 73. Which is greater: h or -2\/13?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1838, -1830, -1810, -1772, -1710?\n\"Answer: h**3 + h - 1840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(8\/5))\/v*v\/v**(-1\/3) assuming v is positive.\nAnswer: v**(44\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -6, 7, 43, -4 in increasing order.\nAnswer: -6, -4, -1, 5, 7, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51326 + -3849383\/75. Let x = 4789\/600 + j. Let r = -3595 - -25212\/7. What is the common denominator of r and x?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 695 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 163281?\nAnswer: -816405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 85*r + 4 + 27*r + 50*r - 8*r as d*r + b and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n = -407 - 973. What is the derivative of 81 - n*b + 52 - 37*b + 39 wrt b?\nAnswer: -129","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4514142 (base 6) in base 9?\nAnswer: -376338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -33686000 rounded to the nearest 100000?\nAnswer: -33700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 135 and 1310?\nAnswer: 35370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/6)\/(22\/99). Solve -6 = o*q - 0*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101866 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hp when two letters picked without replacement from phpphpppppp.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.9786 rounded to one decimal place?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 2. Let m = -234 + 122. Let w = -114 - m. What is the nearest to p in w, -0.2, 2\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100155, 100350, 100545, 100740, 100935?\nAnswer: 101130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 2. Let f be x(-2). Let j(g) = 12*g + 1. Let t be j(1). Let q be 5\/(-20) - t\/(-4). Solve q*w - 2*w + 4 = f for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2144 - -2354. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16 + 13)*-1)\/((-1)\/(-12)). Solve 0 = 63*f - 54*f - p for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 3 - 2*f**2 + 11 + f**4 to w*f**4 + g*f + m + k*f**3 + u*f**2 and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11 - c4a?\nAnswer: -c5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6\/(t*t*t**23)*((((t*t**(-5))\/t)\/t*t)\/t)**(1\/6))**(9\/13) assuming t is positive.\nAnswer: t**(-180\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**2 - 14*u + 6. Give x(6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hui when three letters picked without replacement from {u: 4, h: 1, k: 3, y: 2, i: 1}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -9*q**2 + 22*q**2 - 21*q**2. Suppose -2*g + 2 + 0 = 0. Determine s(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 646100095?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 1109*j - 65. Let g be m(4). What is the common denominator of g\/(-7308) - 1\/(21\/(-9)) and 17\/20?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*r - 6 - 4, 5*r = -5*t - 55. Let k = -3 - r. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -1\/15*u**3 - 1\/6*u**4 - 29 + u**2 + 1\/50*u**5 - 28*u. Let m(n) be the first derivative of v(n). Factor m(j).\nAnswer: 2*(j - 5)*(j - 1)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.55 - 0.05. Let o = f - 10.2. Which is the second biggest value? (a) -2\/7 (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -29. Let v = z - 18. What is the remainder when v is divided by (-2 - -1)\/(5\/(-25))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-8 - -13 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 87\/(-2)*80\/30. Let l = r - -291. What is the second derivative of l - 38*b - 22*b**2 - 175 wrt b?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24.5 - -0.5. Let t = p + 22.7. What is t rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and 1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61761624, 123523251, 185284878, 247046505, 308808132?\nAnswer: 370569759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k**3 - k**2 + 18*k + 20. Calculate u(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2) + (-39)\/(-52).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 53, 51, 49, 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6236741 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/378*(-51 - (-6 + 7))?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 32*q**2 + 947*q - 5697. What is the remainder when 2278 is divided by v(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 11*f + 16. What is c(7)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.147*-19.\nAnswer: 21.793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-49 + 25 + 24 + 275*h)*(h**2 + 3*h - 3*h) to k*h + o + l*h**2 + b*h**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 30 = -20. Suppose -4*w - 3*z = 17, z + i + 1 = -4*w. What is the third smallest value in 0.5, 0.4, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**5\/4 + 13*m**4\/4 + m**3\/4 - 13*m**2\/4 = 0.\nAnswer: -1, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -74.1 + 55. Let s = x - -19. What is the closest to s in 0.5, -5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1450 and 1160?\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2418305640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**3 - 5 - 5 + x + 0 + 8 + 1 + 1791*x**2 as f*x**3 + s*x**2 + j + o*x and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 244.2 - 5?\nAnswer: 239.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -205 by 1.\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**2 + 1. Let o = -5333 - -5329. Let c(i) = 16*i**2 - 6. What is o*c(w) - 22*h(w)?\nAnswer: 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*d + 7277 = -159*d + 98*d for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 + 3253 + 33*o - 3253 - 33*o.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, d: 1, r: 1, k: 1, o: 2, x: 2}. What is prob of sequence xdxk?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**6\/360 - 49*m**5\/180 - 251*m**4\/72 + 301*m**3\/18 + 2*m**2 - 909*m. Factor c(f).\nAnswer: -(f - 1)*(f + 7)*(f + 43)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -11*g**3 - 259*g**2 - 26*g - 12. Let x(v) = -2*v**3 - 10*v**2 - 2. Determine -b(j) + 6*x(j).\nAnswer: -j**3 + 199*j**2 + 26*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 2 + (12 - 4) + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 259 = -23*p + 672. What is the remainder when 412 is divided by p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/7 - (-608)\/280.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 815 is divided by 63?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 c when three letters picked without replacement from {c: 4, v: 1, r: 4, j: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 9*t**2 + 5*t - t - 4*t.\nAnswer: 9*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 8 = -0*z, 2*n - 186*z = -191*z - 10 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**3 + 4*y**2 - 12*y + 15. Let h be f(8). Let q = h + 912. Calculate the remainder when q is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s - 9. Let c(m) = 2*m + 5. Let v(x) = 5*x**2 - 2*x + 1. Let k be v(1). Let p be 1\/(-3) - 374\/(-51). Determine k*r(q) + p*c(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4432 and 831?\nAnswer: 13296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*p**2 - 13*p**2 - 10*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*s**2 - 2 + 2)*(-s + 3*s + 2*s)*(-88 + 88 + 18*s).\nAnswer: 576*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-7)\/(-21)*(-14)\/(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 536938 is divided by 342?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 71049012?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000419919631 to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22783154 - -0.12.\nAnswer: 22783154.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 1 + (0 - -3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27611*n**3 - 3157*n**2 + 2*n - 3 wrt n?\nAnswer: -165666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 0*d**3 - 1\/420*d**7 - 1\/24*d**4 + 0 - 1\/24*d**5 + 0*d + 5*d**2 - 1\/60*d**6. Factor n(j).\nAnswer: -j*(j + 1)**2*(j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82014, -163711, -245408?\nAnswer: -327105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28336 and 24794?\nAnswer: 198352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1015533 (base 6) in base 3?\nAnswer: 2111112110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**24)**(-37)*h\/(h**(5\/8)\/h)*(h**(-4)*h*h)\/h assuming h is positive.\nAnswer: h**(-7117\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(2299) + 5 + sqrt(2299))*1*5)**2 + 4)*-5.\nAnswer: -28815645 - 687500*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 17. Let q = 26 + -17. Let o be y(q). Suppose -g = o - 23. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/1115796 and -46\/615.\nAnswer: 228738180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 7 = w, b - 2*b - 4*w - 8 = 0. Let d(n) = -5 + n**3 + 1 + 3*n + 3 - 3*n**2. Is d(b) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-5)\/80 + (-250)\/(-40)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 12. What is the smallest value in 0.1, 0.05, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 8*y**2 - 8*y. Suppose 0 = -3*z - 2*v - 19, 2*z + 21*v = 17*v - 10. Give x(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m**2 + 14*m + 17. What is q(8)?\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234*p**2 + 4*p**2 - 141*p**2 + 379*p**2.\nAnswer: 476*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 3 (b) 22 (c) -95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49903826.00000012 + 49903828. Let y = -0.04 + -1.96. Let n = j + y. Round n to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, 2, -2802052, -5, -2 in decreasing order.\nAnswer: 2, -4\/9, -2, -5, -2802052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -73.9850577 rounded to one decimal place?\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2 - 19*l + 1. Let y(z) = 8*z**2 - 56*z + 4. Let n(k) = 11*g(k) - 4*y(k). Suppose 8*w = 3*w + 5*a, -5*w + w - 32 = -2*a. Calculate n(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 + 6*g. Suppose 0 = -3*f - 0*f + 15. Let v be ((-2)\/4)\/(f\/40). Determine x(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-10))**36 assuming t is positive.\nAnswer: t**(-360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 114144 and 39237.\nAnswer: 1255584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18*2\/8*2. Let t be (3 - w)*1\/(-2). Solve 3*l = 3 + t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63 - 7. Let c(o) = 7*o + 1. Suppose -2*f + 5 = 3*f. Let w be c(f). What is the highest common divisor of w and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, -0.2, 527, -2\/39?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13716 is divided by 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4802 + -2678. Round l to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50 - -50. Suppose -8*l + 3*l - 170 = y. Do -34 and l have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8020 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -541 + 4400?\nAnswer: 3526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8168 - -8169. Let w = 6 - 4. What is the third biggest value in w, v, 2\/3, 1\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -47 (b) -2\/5 (c) 11 (d) -4691 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, s: 1, p: 2, x: 1, d: 1, f: 1}. Give prob of sequence ps.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 34320579 divided by 34320579?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1 - 0.1. Let t = -0.3 - -0.3. Let u = 0.1 - t. What is the closest to d in u, -5, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c**2 - c - 2. Let d be 6\/12*-4 + 7. Let y = 48 + -36. Suppose 3*k - 2*n = -y, -d*k - 3*n = -4*n + 13. Calculate f(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*x*x\/x**(-2\/11))*x*x*x)\/x**(-3\/4)*x**(-2\/13)*x**(-2\/3))\/((x**0*x*x)**(-1\/12))**(1\/3) assuming x is positive.\nAnswer: x**(9283\/5148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1\/w)**(-28)\/(w\/w**(-2\/7))**(-22) assuming w is positive.\nAnswer: w**(198\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 3*n + 11 - 3 = 0, -2*a + 20 = 3*n for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(162) - sqrt(162)) + sqrt(162) + 1 + (1 + sqrt(162))*-5 + 5 + 6*(2 + 1*sqrt(162)))*2)**2.\nAnswer: 2808*sqrt(2) + 6508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 1\/2197953?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h\/h**(1\/5)))*h)\/h**(3\/2))\/((h\/(h**(-4)\/h)*h)\/(h\/(h*h**6))) assuming h is positive.\nAnswer: h**(-127\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2610\/(-75))\/3 - -12. Which is the nearest to 1\/24? (a) 2 (b) -0.5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) 0.03657 (c) 0.03 (d) 23 (e) 0.4 (f) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3203673 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -223033?\nAnswer: -223031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250185 is divided by 4720.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 683.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -56*v**2 - 42*v + 42. Let g(t) = -t**2 - t + 1. Give 84*g(l) - 2*h(l).\nAnswer: 28*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -24*s + 66. Let c be j(3). Which is smaller: -27.5 or c?\nAnswer: -27.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -58, -100, -128, -136, -118, -68, 20, 152?\n\"Answer: u**3 + u**2 - 52*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274*a - 2090 = 219*a for a.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*q = -26 + 108. Put 0, q, -14 in descending order.\nAnswer: q, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-10)*((-154)\/33 - -8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 - w + 6. Let v be k(-6). Suppose -v = -2*d + d. Let l = -50 + d. Does 17 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5767418 a multiple of 318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.174 + -1.626. Put 4\/9, q, 2\/15 in descending order.\nAnswer: 4\/9, 2\/15, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13211.\nAnswer: 11, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k. Let v(p) = p**2 + 2*p + 2. Let c(j) = 31*j**2 + 186*j + 186. Let i(b) = -c(b) + 93*v(b). What is i(r(u))?\nAnswer: 1550*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1151 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqp when three letters picked without replacement from {j: 2, p: 1, q: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65042953934 - -1.36.\nAnswer: -65042953932.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.373110984 rounded to two decimal places?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (36 + -45 - (-1 + -4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2287555074 a multiple of 2103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + l + 5 = 0. Suppose 4*g + 18 = 2*k, 27 = k - l*g + 3. Let a be -1 + -1 + (6 - k). Is a != 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, j: 3, r: 1, q: 1}. Give prob of sequence ttrr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -4*m**3\/3 + 5503. Let k(p) = 34*p + 7. Determine c(k(j)).\nAnswer: -4624*j**2 - 1904*j - 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*v - 5*v - 8*v + 1082944. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 138 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 68*r**2 - 136*r - 448. Let v be c(72). What is the highest common factor of v and 256?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*p - 20 = 0, 0 = -0*y + 3*y - 5*p + 14. Suppose 12 = -4*v + 3*k, 29 - 14 = -5*v + 4*k. Which is the smallest value? (a) y (b) v (c) -4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = w + 12. Let v(m) = -m**2 + 8*m + 4. Let p be v(6). Let r = p - w. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 4*x + 54 - 69, -5*d - 4*x = 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/(-174))\/((-85)\/(-102)). What is the biggest value in -2\/75, l, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 5*n + x + 2*x, 5*x - 5 = 2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100276960, 100276957, 100276954, 100276951, 100276948, 100276945?\nAnswer: 100276942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 2777534.\nAnswer: 27775340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 3*p = 30. Let d(g) = g**3 - 4*g**2 - 5. Let b be d(4). Let n = b + p. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/1120 and 1\/400.\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/((-2)\/3) - -4. Let d(u) = 5*u**2 + u. Let h be d(n). Let x = 13 - 4. Calculate the highest common divisor of h and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 35 = -11*i - 5*s, -s + 3 = 0. Suppose 5*r - 5*j = 3230, -i*r + 34*j = 38*j - 3275. What are the prime factors of r?\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 811652*q - 6493282. Calculate r(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 11*y**2 - 25*y - 23. Let t be u(13). Let z be 153\/34 - t\/(-4). What is the second biggest value in 0.3, 0.7, -1\/6, z?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 15*r - 8. Determine s(4).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 555772?\nAnswer: 2, 7, 23, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) -5 (b) 2.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 3*w - 9520. What is w rounded to the nearest 100?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-3))\/(s*s**(1\/35)))\/(s*s**(-17\/5))**(-1\/19))**(-46) assuming s is positive.\nAnswer: s**(96508\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 19*x. Let s(i) = -2*i**2 + 33*i. Calculate n(s(h)).\nAnswer: -38*h**2 + 627*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10403913 is divided by 5201951.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i**3 + 7*i**3 + 39*i**3.\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -m**4\/12 + m**3\/2 + m**2\/2 + 11*m + 25. Suppose 0 = -4*k + 1 + 15. Give d(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = 2*g. Let p = 0 + -1. Which is the closest to g? (a) 0.4 (b) p (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32191872 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 8, -2 in increasing order.\nAnswer: -2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - -6. Let y = g + -15. Let k = -0.1 - 0. Sort k, y, 3 in descending order.\nAnswer: 3, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k + 2. Let t be p(-3). Let c(a) = -a**2 - 3*a - 7. Let b(z) = 6*z**2 + 15*z + 35. Let q(v) = 2*b(v) + 11*c(v). Determine q(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/13*i**3 + 2\/13*i + 0 + 2\/13*i**5 + 0*i**2 + 0*i**4.\nAnswer: 2*i*(i - 1)**2*(i + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1223312 - -11?\nAnswer: 1223323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*((sqrt(3) - sqrt(27))*-1 + sqrt(3)))**2.\nAnswer: 24*sqrt(3) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + x = 0, -5*s + 4*x = 19 - 28 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 16306797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x + 7*k = 10*x + 6, 2*x - 2*k = -12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192055 = -36*p + 56525. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/42*7\/(-18). Let r = 16 - 17. Which is the closest to 1? (a) 4 (b) r (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3*x + 24. Let j be (-2)\/6 + (-52)\/x. Which is the closest to 2? (a) 5 (b) j (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/17470 - -69873\/122290. Which is the nearest to -0.1? (a) 8 (b) s (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v. Let y(o) = -14033419*o. Give b(y(z)).\nAnswer: 42100257*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 188 and 32.\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 11, 6, 7 in increasing order.\nAnswer: -1\/8, 6, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45125 divided by -45125.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174*t + 177*t - 24 = -2*x, -5*t - 17 = -3*x. Determine b so that 1\/3*b**3 - 1\/3 + 1\/3*b**t - 1\/3*b = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.4 - -0.9. Let x = 1.9 - -0.1. Let q be -4*((-33)\/(-18) - 2). Which is the closest to x? (a) q (b) -0.1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29174.\nAnswer: 2, 29, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1518981*n**4 + 567542*n?\nAnswer: 18227772*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -10. Let u(l) = 3*l**3 + 2*l**2 - 2*l + 2. Is u(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(63) - sqrt(189)\/sqrt(3)) + sqrt(63) + 3.\nAnswer: 1 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 r when three letters picked without replacement from rnnrrrrn.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/17 + 2\/17*r**2 - 2\/17*r**3 + 2\/17*r = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2381 is divided by 594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 173\nAnswer: -10\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.03 and 5888.3?\nAnswer: 5887.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o**2 - 2*o + 1. Calculate q(-3).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2916739885 to the power of 1\/3, to the nearest integer?\nAnswer: 1429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 101410 and 7.3.\nAnswer: 101417.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*v**3 - 24 + 51 - 27 + 61*v**2 - 56*v**2.\nAnswer: -16*v**3 + 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/10 - (-441)\/(-735). Let a = 21959\/23 - 955. Is a greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 119*u**2 - 7*u + 5. Let b(w) = 118*w**2 - 5*w + 4. Let k(v) = 6*b(v) - 5*t(v). Find the second derivative of k(p) wrt p.\nAnswer: 226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hlvp when four letters picked without replacement from {v: 1, h: 1, p: 1, l: 1, n: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 6) in base 12?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4 - 5) + -1)\/(357\/9282).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 + 1264 - 911 - 22*q - 329. What is v(8)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*g**3 + 48 + 16 - 15 - 2*g to the form r*g**2 + y + v*g**3 + c*g and give y.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 1000001?\nAnswer: -1000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1439?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*b + 9 = -10, -2*b + 2 = 0. Solve -w = -5*s - 0*s + c, 2*s + 5*c + 2 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = 38*w + 63 - 228 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 77979611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 767*d**3 + 1040*d**2 - 761*d**3 + d - 1040*d**2 - d.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-132)\/5)\/(372\/620) - (1 - 1 - 2)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34 or -2\/675?\nAnswer: -2\/675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.51 from -0.0466.\nAnswer: 3.4634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u**2 + 8\/3*u**5 + 0 + 0*u - 94\/3*u**3 + 10\/3*u**4 = 0 for u.\nAnswer: -4, -1\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -138 by -2688099.\nAnswer: 46\/896033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -11204*w - 100860. Calculate m(-9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4 - 10*l**3 - 5876*l**2 - 56760*l.\nAnswer: l*(l - 86)*(l + 10)*(l + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**4\/5 - 464*t**3\/5 + 13456*t**2\/5.\nAnswer: 4*t**2*(t - 58)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y. Let j be ((-120)\/9)\/(1\/(-3)). Let c be (6\/(-5))\/((-12)\/j). Let h(q) = 0 - 4 + c - 10*q**2. What is z(h(n))?\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o - 2*o + 4*o)*(5 + 1 + 6)*(4 + 1 - 4)*(-1 + 1 + 1) + 86*o + 237*o + 234*o to the form m*o + w and give m.\nAnswer: 593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -ae1c7 (base 16) to base 4\nAnswer: -2232013013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/3)\/((-37)\/((-1665)\/(-150)))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (104\/(-234))\/(20\/15)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48\/259 or 1?\nAnswer: -48\/259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4*n**4 + 3*n**3 - n**2 + 3*n. Let g(o) = -16*o**4 + 11*o**3 - 5*o**2 + 11*o. Let j(m) = 6*g(m) - 22*t(m). Find the third derivative of j(k) wrt k.\nAnswer: -192*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 106794\/(-545138) - (60\/(-209) + -4 + (-312)\/(-76))\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-2 + 4 + 0). Let a = u - -3. Solve -x = a*w + 1, 0*x + 15 = -5*x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 91*l**6\/120 - 13*l**5\/20 + 2*l**2 - 72*l. Find the third derivative of p(q) wrt q.\nAnswer: 546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 975\/2 (c) 2\/11 (d) -1\/3 (e) 0.3 (f) -6 (g) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 9 = 0, 0 = o + 7*s - 5*s - 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.44 (b) -0.4 (c) 310 (d) -4 (e) 14 (f) -5 (g) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*i - 0*i. Let c be (-436)\/(-430) - (0 + i). Let b = c - 1329\/2795. Sort 0, b, 3 in decreasing order.\nAnswer: 3, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 + (1 - 4) + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2617*i*m + 2*i - 10499*m with respect to i.\nAnswer: 2617*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 2025.\nAnswer: 2025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, l: 6}. Give prob of sequence gg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 11:15 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.7 - -1.3. Let c = u - 17.94. What is the third biggest value in c, 3\/5, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**3 + 2*f**2. Let t be a(-1). Put -0.3, t, 1 in descending order.\nAnswer: 1, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*r + 101 - 1399. Suppose -r - 127 = -31*h. Suppose -b = -2*b - 4. Put h, 0, 2, b in descending order.\nAnswer: h, 2, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4366022 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2361964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -16\/19, -49, 0.5, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2345 (base 7) to base 4.\nAnswer: -31202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**3 + a**2 - 23530138*a - 300386474.\nAnswer: 3*a**2 + 2*a - 23530138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**0*d)\/(d*d**(-1\/9)))\/(((d**(-2\/3)*d)\/d)\/((d*(d*((d**(-2\/7)\/d)\/d)\/d)\/d)\/d)))**45 assuming d is positive.\nAnswer: d**(-790\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 11:49 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**16\/(p*p\/(p*p**(3\/2))))**(-34) assuming p is positive.\nAnswer: p**(-561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, o: 7}. Give prob of picking 2 c.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0505 - 0.9495. What is the closest to -2 in 5, 2, -10, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 13*x + 24. Calculate the least common multiple of 138 and m(-12).\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**21*t*t*t\/(t\/((t\/t**(-21))\/t))*t)**(-5) assuming t is positive.\nAnswer: t**(-230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -12*t + 2. Let g(x) = 11*x - 1. Suppose 13*p + 89 = -2. Let q(b) = p*g(b) - 6*f(b). Give q(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -515 (base 8) in base 6?\nAnswer: -1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 330854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1403.4 + 1403. Which is the third biggest value? (a) 28 (b) -3 (c) 0.1 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31 in 20, 2\/37, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -3. Which is the closest to -2? (a) h (b) 2 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 12. Let z(p) = -p**2 - 12. Let a(k) = -3*m(k) - 4*z(k). What is the derivative of a(n) wrt n?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 2*g + g)*(-g - 10 + 10)*(-9*g**2 - 3300 - 2*g**2 + 3372).\nAnswer: -22*g**4 + 144*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25747 is divided by 486.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 2:42 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-34))\/(((-6205)\/(-85))\/4964)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/5*100\/40. Suppose -30 = -4*w + 2*f, -w + 2*w + t = -3*f. Suppose 0 = w*c - 19 - 113. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (69 - (48 + 71)) + 86.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (5 - 4 - 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 899 - 309253\/344. Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i - 2. Let l(u) = 1. What is -6*l(r) - 2*s(r)?\nAnswer: 6*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 17*v - 32. Let r(l) = -9*l + 17. Let h(j) = -11*r(j) - 6*u(j). Determine h(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-4)*160\/(-75) - 4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 19. Let z = -1.1 - -6.1. Which is the closest to -7? (a) -4 (b) i (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-3\/2)*a*a*a**(2\/3)*a*a)**42 assuming a is positive.\nAnswer: a**301","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/2 - -44)*8\/(-6). Let y = 55 + x. Is -3 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 3, 493.\nAnswer: 3, 15, 493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-2)\/(212\/(-742))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-2)\/442)*(-33272)\/216268.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32300430010 + -23?\nAnswer: -32300430033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**4 - 6828*w**3 + 61288*w**2 + 6828*w - 61290 = 0.\nAnswer: -1, 1, 9, 3405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2224*y + 245. Is m(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -j**4\/24 + 4*j**3\/3 + j**2. Let y be l(6). Differentiate y - 3 + 0 + 3 + o wrt o.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.753 - -0.093. Let q = x + 0.26. Let o = 47\/3 - 233\/15. Sort o, q, 0.5 in ascending order.\nAnswer: q, o, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -14. Let z be (-2)\/(-8) - 7\/(-4). Suppose -4*o**2 - 26*o**m + 18*o**5 + 4*o**z + 8*o = 0. Calculate o.\nAnswer: -1, -2\/3, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 87, 122, 157?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 69963264 to the power of 1\/3, to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 6. Suppose 2*f - b + 182 = z, 0 = -f + 5*f - b + 368. Let n = -89 - f. Is 7 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 2430?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 689 and 210?\nAnswer: 144690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 11*y - 2. Let t(z) = -58*z**2 - 253. Give t(j(q)).\nAnswer: -7018*q**2 + 2552*q - 485","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4359 - 4361. Let k(l) = l + 1. Let w(i) = -4*i - 4. Let x(j) = -9*k(j) - 2*w(j). What is x(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 48 = 3*z - 44, -4*z + f = -161. Calculate the highest common divisor of 33 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.8 + -3. Let f = j + 0.2000012. Round f to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1555 - -0.134?\nAnswer: 0.2895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 136?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t + 2*t**2 - t**2 - 12*t - 12 = 0. What is t?\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3319 + 0.0681. Which is the closest to f? (a) 3 (b) 1\/13 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**6\/v)\/v**(-17))**(-11))**(-1\/27) assuming v is positive.\nAnswer: v**(253\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1246 - 1245.9. Put 1.2, -0.5, p, -9 in descending order.\nAnswer: 1.2, p, -0.5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3300, 10174, 17048, 23922, 30796?\n\"Answer: 6874*v - 3574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**2\/4 - l\/2 - 2 = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 19701, -4, -2\/9, 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*b**4 + 8*b - 1 - 12*b - b**4 + 5*b to k*b**2 + z*b + y + q*b**3 + x*b**4 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-4) + 34\/(-72). Suppose 8 = 4*x - 0*x. What is the closest to 0 in -3, h, x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -1\/4*o**4 - 1\/2*o**3 + 4*o + 3*o**2 + 0. Factor d(u).\nAnswer: -3*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-2)*8\/6. Suppose 0 = -5*y - x + 22 - f, -5*y + 4*x + 36 = 0. Suppose y*r - 4800000 = 2*r. What is r rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from 8995.5.\nAnswer: 8995.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*t - 1123 = -37*t + 2221 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 6 + 1350731*a**3 - 2701440*a**3 + 1 + 1350706*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + n = 8, 0*n = 2*w - 4*n + 2. Let o(m) = m**2 + m - 3. Let k be o(3). Let v = k + w. Solve v*c = -g + 15, c - 2*g + 3 = -0*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(78) - sqrt(78))*-2)\/(sqrt(294) + (3*sqrt(294) - sqrt(294) - sqrt(294)) + sqrt(294) + sqrt(294)).\nAnswer: 3*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 221, 234, 259, 302, 369, 466, 599, 774?\nAnswer: 997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 7*o**4\/12 + 2*o**3 - 2*o**2 + 7*o - 9. Let b(f) be the first derivative of n(f). Factor b(l).\nAnswer: (l + 2)*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a day in minutes?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/3 in -1.3, 0.2, 3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7906 + 7907. Put 0.66, -2\/7, -4, w in descending order.\nAnswer: w, 0.66, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51929728 is divided by 2702?\nAnswer: 2692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**3 - p**3 - 3*p**3 + (-p + p**2 + p)*(5*p - 4*p + 3*p) + 89*p**3 + 1941 - 1941.\nAnswer: 92*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 980 + 340. Suppose 601*f - z = 596*f. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 473552973?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 10:40 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24942*a - j = -25292*a - 0*j + 2092, -4*a = -3*j for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 j, and 1 d when four letters picked without replacement from dxxuwxxgwxjwgxjugjw?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(108)\/sqrt(4) + sqrt(27))**2.\nAnswer: -36*sqrt(3) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r - 11*r + 3*r - 18*r.\nAnswer: -27*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b = 18*b - 120. Let v be -4*6\/9*3. Let p be b\/v + 9\/(-12). Solve -q = p*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 173. Suppose 9*i = 7*i + j. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fhqjt. Give prob of sequence fft.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 16516658 divided by 1\nAnswer: 16516658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -192 + 214 - (0 + 4).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1830)\/(-620065))\/((-18)\/(-114))?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -51.7121 and 11.63067?\nAnswer: 63.34277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 4:00 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20425454 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12408 to 3 dps.\nAnswer: -0.124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -263 + 270. Let n(p) = -p**2 + p + 28. Let o be n(-4). Solve -29 + o = j*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*s + 11, 0 = -5*m + 4*s + 16. Let y(x) = -x**2 - 11*x - 8. Let t be y(-10). Determine j so that 2\/5*j - 2\/5*j**t + m = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 100, 181, 336, 589, 964, 1485?\nAnswer: 2176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 9) to base 8.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -4\/3, -1\/8, -923, -5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 0*c - 4. Suppose 110 = 3*f + 2*f. Calculate the smallest common multiple of c\/((-3)\/(-12))*4 and f.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -99754294.07747+-0.4\nAnswer: -99754294.47747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, l: 6}. What is prob of picking 3 t?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -166 - -168.3. What is the smallest value in -0.2, -5, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 2:04 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 a, and 1 k when three letters picked without replacement from offfyofpkyap.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 88*q + 1 - 93*q - 49. Let s(z) = -11*z - 3. What is the remainder when s(-2) is divided by t(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 118727264 to the nearest 10000.\nAnswer: 118730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (160\/650)\/(626\/(-1565)).\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(99))\/(sqrt(441)*2).\nAnswer: sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 + 5*n**3 - n**2 - 4*n**3)*(5*n - 5*n - 2*n).\nAnswer: -2*n**4 + 8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 26*a - 23. Let i be q(-27). Suppose -6*z = 8 + i. Is 29 a factor of ((17\/z)\/(-1))\/(1\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -165248*h - 495742. Determine w(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 19 = 9. Let w(b) be the third derivative of 1\/9*b**3 - b**k + 1\/20*b**5 + 0 + 1\/72*b**6 + 0*b + 7\/72*b**4 + 1\/630*b**7. Factor w(z).\nAnswer: (z + 1)**3*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1167224?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + o = 7*h, 3*h = -15. Solve 38*p = o*p + 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 11 = -2*i. Suppose -52 = -u - 2*j, 3*u - 2*j - 155 = -i*j. Suppose -4*x = -2 - u. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5149 - -5151. Let z be (-5)\/(-3) + -1 + 0. Suppose -2*l - 2*l = 4*q, -4*l + 18 = -2*q. Which is the closest to l? (a) -5 (b) r (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222 + -1001001?\nAnswer: -1002000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -26*q**2 + 630*q + 1944 = 0.\nAnswer: -36\/13, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 328557242 to the power of 1\/2, to the nearest integer?\nAnswer: 18126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1743\/63 + -27)*-9)\/(7*-1)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/5808 and -125\/432?\nAnswer: 52272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jggssjjjjssjg. What is prob of sequence ggs?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxd when three letters picked without replacement from mmmmmmldlddxmmmmmdxm.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 8*o - 14. Let f be y(-8). Let h be ((-36)\/(-126))\/((-2)\/f). Solve 0 = -b + h + 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 13 = -2*y + 288, -2*y + 457 = 5*b. What is the remainder when 170 is divided by b?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - 25. Let g = u + 3. Let v = g - 9. Is v at least -38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006 times 49836?\nAnswer: 299.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 53 + 23. Is 2972\/b + (-18)\/(-27) a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 + 188\/4 - -3.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhm. What is prob of picking 2 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 126\/65 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 8) to base 10.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -756 + 784. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 500145.9 litres to millilitres.\nAnswer: 500145900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 3:03 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 248 and 177142680?\nAnswer: 177142680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.3556675 micrometers?\nAnswer: 0.0003556675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293*f**3 - 39*f**3 - 251*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -12\/5 (b) -0.0212 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 2\/43 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2417243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4*(-1)\/6)\/(4\/30). Sort 3, -2, u in descending order.\nAnswer: u, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/sqrt(4) + -2 - (sqrt(13) - sqrt(143)\/sqrt(1100)).\nAnswer: -2 + sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 1:09 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.896 to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 3*j - 6 = h, 64*j - 55*j - 3*h = -9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/(-7)*29\/2 and (-57)\/12*((-6)\/(-4) - 1).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40348*j - 139488.\nAnswer: -40348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11.1 + 11. Sort 2\/13, a, 0.3 in descending order.\nAnswer: 0.3, 2\/13, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-724)\/30 - -24)*(-20)\/(-24).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50873374367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -114, -422, -930, -1638, -2546, -3654, -4962?\n\"Answer: -100*q**2 - 8*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/33)\/(6\/162*9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1410 + -786. What is the greatest common factor of 39 and c?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u - 1. Let m(r) = 8*r + 7. Suppose -4*b = -6*b - 50. Let w be 35\/b + (-2)\/(-5). Give w*m(z) - 6*n(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 19*z - 6 = 22*z, z = -2*q - 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/194 and -29\/194.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + -4 + (-3 - -97) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19\/2732 or -1?\nAnswer: 19\/2732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.28 - 0.28. Which is the third biggest value? (a) 1 (b) 0.5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ylyyyylyyyylyyyyyl. Give prob of picking 4 l.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 23. What is the third smallest value in -13, 1\/3, v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-16\/3)*s*s*(s**9*s)\/s*(s*s**(-2\/25))**(14\/5) assuming s is positive.\nAnswer: s**(3091\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/(-72) - ((0 - -2) + -1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*((-12)\/(-27) + 16\/72).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-3) - 513\/81. Let u be (48\/(-72))\/((-4)\/n). Which is the third biggest value? (a) u (b) 2\/11 (c) 4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 7:26 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 5*f - 2. Let u be k(4). Suppose 0 = 2*d + 2*z - 22, 5*d - 2*z - 16 = 18. Solve 5*c - d = u for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6975 and 451575.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 0*p - 4*p = 0, 3*l - 4*p + 35 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/10)\/(15\/25 - 1). Let p(z) be the second derivative of -1\/10*z**5 + 1\/2*z**4 - 3*z + 0 + z**2 - z**w. Factor p(m).\nAnswer: -2*(m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 581507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -8*h. Let a be ((-6)\/18)\/((-22)\/462). Give g(a).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53232.\nAnswer: 2, 3, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 16 = -j - 3*j, 3*s + 8 = j. Suppose 2*w = 2*g + 90, 3*w = -5*g - j + 100. Does 13 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2972 divided by 1.\nAnswer: -2972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/7 + (-36)\/(-14). Solve v - 12 = 3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -264574 != -264573?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3714 less than or equal to 3715?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (0 - 7) + 6 + 9\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/sqrt(4)*3 - sqrt(21))\/(sqrt(1225)\/sqrt(7)))**2.\nAnswer: 12\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/7)\/(3\/(-21)). Suppose -z + 5*z + k*t = -4, -z + 3*t + 19 = 0. Solve 0*r + 2*r - 5*g + 5 = 0, 11 = -3*r + z*g for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sq when two letters picked without replacement from srizsbbq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + (1 - 2 - -4) + -68 + 75.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7008 is divided by 29.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 2, 1527, -5, -3 in ascending order.\nAnswer: -5, -3, 0, 2, 3, 1527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, e: 1}. Give prob of sequence fffe.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 3*u = 72. Let f = 32 - u. Let r be (-17)\/((-272)\/60)*4. Which is greater: f or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a minute?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1084743.\nAnswer: 3, 11, 10957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 14. Let m(g) = -g + 188. Let u be m(t). Suppose -3*s = -u + 41. Calculate the remainder when s is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14335?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 26*i. Let m(s) = 19*s. Let q(y) = -3*h(y) + 4*m(y). Let a(r) = 2*r + 1585. Give q(a(l)).\nAnswer: -4*l - 3170","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0038 and 1025434.\nAnswer: 1025434.0038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-1 + 25\/(-5))*3. Suppose -1 + 3\/2*d**2 + t*d = 0. Calculate d.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, 76.5, -1.1, -1.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 8*z + 5. Suppose -5*i - 15 - 5 = 0. Let l = i - 1. Determine d(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -126333*w**2. Let t(o) = 6*o. Give b(t(y)).\nAnswer: -4547988*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 + 9*w**3 - 3*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.06 (b) 0 (c) -11\/4 (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/214200 and -94\/573495.\nAnswer: 481735800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 - 862*g**2 + 3422*g - 2562.\nAnswer: 2*(g - 427)*(g - 3)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 20*o + 5. Suppose 1159*z - 1163*z - 5*t + 40 = 0, 4*t + 4 = 4*z. Let v(r) = 20*r + 6. Calculate z*a(j) - 4*v(j).\nAnswer: 20*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1465, 3010, 4555?\n\"Answer: 1545*v - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21201222120 - 2212?\nAnswer: 21201212201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 922*c + 934*c + 926*c + 951*c + 951*c - 4682*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 5 + -5 + (sqrt(5445) - sqrt(5445)*3) + -3)*2)**2.\nAnswer: 4224*sqrt(5) + 87376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1724 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 33*r**3 + 4628*r**2 + 4*r + 7. Let o(n) = -19*n**3 - 2314*n**2 - 2*n - 4. Calculate 7*o(l) + 4*u(l).\nAnswer: -l**3 + 2314*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9197 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 367*v - 999*v + 2528 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 514*b**2 - 14606*b - 41617. What is u(-484)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*d - 4*d. Suppose -v + d*g + 24 = 0, 4*g - 4 - 4 = -3*v. Let f = -6 + v. Solve -4*z + f*z + 2 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.305 + 0.005. Let g = p + -0.310223. What is g rounded to 5 dps?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 345\/336 + -1*1. Let j = v - 4047\/560. Let n = j + 401\/55. What is the second smallest value in n, 0.3, -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0666452 - -0.0671. What is d rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*u**2 - 160*u**2 + 0*u - 33 + 0*u.\nAnswer: -2*u**2 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -15444808.471074 + 0.3\nAnswer: -15444808.171074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -255808918*i**3*j**3 + 32*i**2 - 2*i + 11551*j**3 - 36 wrt i.\nAnswer: -1534853508*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and 0.240306.\nAnswer: -0.059694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3264627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3700 - -7745. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) -1994 (c) -4047\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1065123842*g**2*h + 678280*h - 240 wrt g.\nAnswer: -2130247684*g*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 9. Let u = i + 7. Which is the third biggest value? (a) -4 (b) -5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40265, 80532, 120799, 161066, 201333?\nAnswer: 241600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004087181 rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -4. Let b = -0.9 - -0.7. What is the nearest to 0.2 in b, r, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(-12)\/((j\/(j*(j*j**(5\/2)*j*j*j)\/j))\/j**2) assuming j is positive.\nAnswer: j**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -1\/3*u**3 - 9\/2*u**2 - 7*u - 5. What is b(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wh when two letters picked without replacement from {w: 10, k: 3, h: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63.873*-0.3.\nAnswer: -19.1619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*w + 5. Let q = 4 - w. Let a(z) = z + 11. Let m be a(-7). Solve 0 = -q*v - v + m for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 + -208. Let t = 237 + r. Solve -4*p + 0*g + g = 19, 4*g = p + t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((-1*sqrt(132) - sqrt(132) - sqrt(132))*3 - sqrt(132))*-5)\/(sqrt(1200)*-2*-3).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.772189 and -0.2.\nAnswer: -0.1544378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 3 (b) -4 (c) 1\/4 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 369*b**3 - 2*b**2 + 2052*b + 4532449 wrt b?\nAnswer: 1107*b**2 - 4*b + 2052","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 4134 less than 37210\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.36 - 0.59. Let j = b - -0.13. Let i be ((-4)\/(-30))\/((-1)\/5). What is the second biggest value in 0.2, j, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9\/20 + -1\/5. What is the closest to i in 0, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-645)\/(-140) + (-2)\/(-8). Let g = 32\/7 - f. Let z be (1 - -3) + 180\/(-50). What is the closest to 0.1 in z, 2\/11, g?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10352 divided by 2588\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 191 and 88051.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -57*t + 14. Let a = -62 + 70. Let u = 7 + a. Calculate the remainder when f(-1) is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -9*j**2 - 86*j + 57. Calculate l(-11).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37855827?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 217 (b) -4\/3 (c) -1\/3 (d) -4 (e) -0.2 (f) 0.6477\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 16 = 0, 2*x = -3*m + 7*x + 35. Suppose -j = 5*r - 2*j - 48, 3*r + m*j = 40. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*j + 94 + 382 = 0. Solve 21*h - j*h - 8 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 672 and 132576.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(2 - 8\/6). Suppose 0*y + 1 = y, 3*o = -3*y + t. What is the units digit of (-6)\/(-4) - o - 747\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/41112 and 77\/3202168?\nAnswer: 28819512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/80 and -37\/15760?\nAnswer: 15760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 0 - (-12)\/(-18))*-6. Suppose 3*n - 29 = 2*x + 2*x, 0 = -4*n - 5*x - 13. Solve 2*h = -n*c - 12, -5*c + 0*h + y*h = 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 50967 = 53*j. List the prime factors of j.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*m = 96*m + 2304 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46336.3 - 0.51.\nAnswer: -46336.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.33292 to one dp.\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(147)*1 + -5 + -1) + -3 + -4.\nAnswer: -35*sqrt(3) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*q**2 + 8*q**3 - 5*q**3 - 31*q**2 - 20*q**2 + q + 8*q**3.\nAnswer: 11*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 6*m**2 - 36*m - 95. Give h(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqospqppsqqoqo. Give prob of picking 1 q and 1 o.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 1. Let j(h) = 4*h - 3 + 3 - 3*h. Let a be j(4). Suppose -4 = -2*k, -3*k + a + 10 = 4*c. Let o(d) = -d**3 + d**2 + d + 1. Give c*g(z) - 2*o(z).\nAnswer: 2*z**3 - 2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 24*z - 48. Let r be l(-4). What is the highest common factor of 88 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 28418, 28587, 28870, 29267?\n\"Answer: 57*l**2 - 2*l + 28363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2162800 is divided by 720932.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -150a - 6?\nAnswer: -1511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(48))\/sqrt(4).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + s. Let y(m) = 5*m**2 + 5*m + 23. Let h(v) = -4*u(v) + y(v). Let w be h(-8). Calculate the greatest common factor of w and 316.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-91)\/(-7) - -1*2. Let x be ((-8)\/10)\/((-6)\/u). What is the second derivative of -5*k**2 - 2*k + 5*k**2 - 5*k**3 + x*k**3 wrt k?\nAnswer: -18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5641897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2103958260.\nAnswer: 2, 3, 5, 3896219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 83163 to the power of 1\/2, to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (150\/(-80))\/(-5)*16. Let a be 2 - (4\/2 - 4\/(-2)). Sort d, 1, a in decreasing order.\nAnswer: d, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 7*r**2 + 9*r - 6. Let d be f(8). Let w be d\/(-12) - (-50)\/12. Solve 2*x - x + 1 = w*t, -t = -2*x - 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - g**2 - 4. What is j(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/5*(-2)\/24*20\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3727 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2468287 meters in centimeters?\nAnswer: 24.68287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, e: 3, j: 2, b: 1}. What is prob of picking 2 j?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 7 = -4*h. Solve 22 = -2*i + h*i - 4*b, 4*b = -5*i - 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1762\/13 + 33491\/247. Let t = -5 - -5.1. Which is the smallest value? (a) t (b) -2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 1 = 4*p - 26, -4*k + 18 = 2*p. Let a = p - 1. Suppose 4 = -a*x + 2. Put 4, 0, x in descending order.\nAnswer: 4, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*r = -16 - 3, 7 = -3*p + 4*r. What is the units digit of -2 - ((-1 - 1) + -2) - p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sd when two letters picked without replacement from {u: 3, d: 2, s: 10}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96895?\nAnswer: 5, 19379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/12? (a) 2 (b) 5 (c) -0.07 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 4) + 23 + -31?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m = -10*m - 10. Solve 3*z - z = m for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 9*q**3 - 10*q**2 + 161*q - 3. Let u(t) = -5*t**3 + 4*t**2 - 82*t + 1. Give -2*f(y) - 5*u(y).\nAnswer: 7*y**3 + 88*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8968039 bigger than 8968040?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, -66, 30, 2.\nAnswer: -66, -5, 2, 6, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 342125 (base 6) to base 7.\nAnswer: 150353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 2*a - 319. Calculate the remainder when a is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**5 + 1255*w**4 - 10270*w**3 + 23230*w**2 - 20695*w + 6475.\nAnswer: 5*(w - 5)*(w - 1)**3*(w + 259)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 851633545 to the power of 1\/5, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 848108 and 848110 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*w + 2, 3*k - 4*w - 88 = -18. Suppose 0 = -l - 3*g + 8, 3*l + 0*g - 5*g = -k. Which is bigger: 6\/29 or l?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53527 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 5*h - 9, 3*h - 1 - 5 = y. Suppose 32 = -m + y*m. Does 34 divide 102\/(-2)*m\/(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*i**3\/13 - 838*i**2\/13 + 8018*i\/13 - 722\/13.\nAnswer: 2*(i - 19)**2*(11*i - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (102\/18 + -6)*-71*147?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1180*t**3 - 245*t**3 - 185*t**3 - 194*t**3 - 180*t**3 - 183*t**3 - 188*t**3.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (169 + 255 - 78 + 3 + 2 - 4 + (-1 - 4 + 3)*(2 - 1 - 2) + 0 - 1 - 1 - 2 + 3 - 2 - 1 + 4 + 0)*(-13 + 13 - 7*g) in the form p + r*g and give r.\nAnswer: -2443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52608428 is divided by 194846.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 5, 2, -1, -5.\nAnswer: -52, -5, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (0 - 4) - (-12 - (4 - 8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 6*h - 6. What are the prime factors of (35\/2)\/((-3)\/h - 1)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((3\/(-12))\/((-11)\/(-88)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 8*q. Let j(n) = -278*n - 2. Let p(b) = -j(b) + 4*w(b). Let t(f) = 2*f. Calculate t(p(v)).\nAnswer: 620*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -r**5\/12 + 5*r**4\/12 - 5*r**3\/6 - 15*r**2 - r - 98. Let x(f) be the second derivative of i(f). Find u, given that x(u) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5260586782 - -6609.\nAnswer: -5260580173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -b**5\/60 - b**3\/3 + 3*b**2. Let r(s) = -2*s**2 + s - 5. Give 2*r(u) - 5*v(u).\nAnswer: u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 4*z**3 - 6328*z**2 = 0.\nAnswer: 0, 1582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -7*q**2 - q + 5. Let t(z) be the third derivative of -z**5\/20 - z**4\/24 + z**3\/3 + 3*z**2 + 4. Determine -2*p(r) + 5*t(r).\nAnswer: -r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3223 (base 8) to base 16.\nAnswer: -693","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.9 - 0.3. Let w = t + -2. What is the nearest to w in -3, -0.4, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 - 222 = -12*w. Solve -w*s = -31*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 48 - 13. Suppose -y - 3*y = 4*k - 356, -y = -3*k - 81. Let z = y - 83. What is the lowest common multiple of l and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37282?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kwkwkwkwwkwwwwwwwww. What is prob of picking 1 k and 3 w?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14295, 18071, 21849, 25629, 29411?\n\"Answer: y**2 + 3773*y + 10521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -95 (b) 0.244 (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 292714 to the power of 1\/2, to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 697*m + 4042 - 1418*m + 375 + 723*m to the form b + t*m and give b.\nAnswer: 4417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3008067.3 + 3008067.43899813. Let g = u + -0.139. Round g to 7 dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69 + 65. Suppose 3*x + 2 = 2*d, -3*x - 4 = 2. Let v be 2 - (2 - 2)\/(-1). Which is the biggest value? (a) v (b) d (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2629 a factor of 1708850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 21. Suppose -5*f + x = -7. Suppose k = y + 6 - 1, y = f*k - 15. Solve y = -2*i - 0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -13. Let h(n) = 2*n - 1. Let t(z) be the second derivative of 0 + 1\/6*z**3 - 1\/2*z**2 + z. Give a*t(g) - 4*h(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(3\/10))\/(b**(-2\/7)\/b) assuming b is positive.\nAnswer: b**(139\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -13*f**2 + 719*f - 925. Determine h(54).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 122 + -125. Put 5, 1, v in increasing order.\nAnswer: v, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-71)\/426)\/(4\/(-10296)*-11)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*h - 9. Differentiate h*f - 3*f + f - 7 - 5*f**4 with respect to f.\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10850554 divided by -1.\nAnswer: 10850554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114986?\nAnswer: 2, 57493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5850, -11222, -16594, -21966?\n\"Answer: -5372*n - 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36.4 - 12.1. Let t = u + 2.7. Let m = 27.0085 - t. Round m to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 + 1)*(86*o - 51 - 87*o + 19).\nAnswer: -5*o - 160","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 191, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -719628 + 719628 - 15*o**2.\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1166319000 to the nearest one million.\nAnswer: 1166000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 96373.373 rounded to the nearest 100?\nAnswer: 96400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three halves of a kilogram in grams?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -90153 - -360611\/4. Let j = -29\/168 + 1\/21. What is the nearest to -0.3 in j, -0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100 and 7 + (294\/(-8))\/((-150)\/200)?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 5*d)*(-1901*d + 2005*d + 1220*d) to a*d + h*d**2 + i and give h.\nAnswer: 6620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/3)\/((-2)\/(-6)). Suppose -3*v - 6 = -f*v. Which is smaller: v or 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19298776 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: Suppose 5*x - 10 = 0, 0 = y - 5*x - 0 + 28. Does 6 divide (-3*(-490)\/63)\/((-1)\/y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - 15 - (0 + -3 - (-12 + 12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 112.\nAnswer: 11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -y**3 - 319*y - 2. Let g(w) be the first derivative of 0*w + 0*w**2 + 1\/3*w**3 - 2. Give g(m(h)).\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5\/14 (b) 41 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1683 = -3*c + 2*p, 4*c - 571 = 3*c + 4*p. Calculate the remainder when c is divided by 90.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 3, -4*h + 6 + 8 = -2*a. Find x, given that -7*x + 7*x + 12*x**4 + h*x**5 - 27*x**2 + 16 - x**2 - 4*x**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(sqrt(44)\/sqrt(16)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**3 - 5*i**3 + 2*i**3 + 2*i**2 + 2*i**3 + 4*i - 4*i + (2*i - 4*i - i)*(-i - 3*i**2 + i).\nAnswer: 10*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 2 (c) -4\/3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 take away -549891?\nAnswer: 549890.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = n + 2 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/(-6) - -3)\/((-1)\/(-621)). Suppose 0 = -34*q - l + 989. Solve -c - q = -4*s, -2*s + 2 = -s + c for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, c: 5, w: 1, g: 6}. Give prob of sequence ogc.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.192 - 0.192. What is the biggest value in -1\/4, -2\/3, v, -2\/119, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (-1 - (-2)\/1). Suppose -3*w = -m*w + 6, 3*s - 2*w - 13 = 0. Solve -6 = -3*h - s for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 5 - 2)*(70 - 70 - 25*s)*(-3*s + 2*s - s).\nAnswer: 350*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 6*f - 25953. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6330*l**4 - 4474*l**3 + 3879952*l + 4 wrt l.\nAnswer: -75960*l**2 - 26844*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = 7*b + 56. Let p = -21 + 168. Let x = p - b. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-67)\/201 - (7*-1 - 3850\/(-150)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o - 93896 = 23*o + 5*o. Which is smaller: o or -2133?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 20.871 and 2377008.\nAnswer: 2377028.871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2073, -0.39, 7\/5?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 155370.36 months?\nAnswer: 12947.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -13*o + 4. Let g be j(-4). Let w = g + -24. Let r = -21 + w. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 96\/(-265) + 3\/(-5). Is a less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 - 2*k + 2*k - 3 - 3*k**2 to the form p + d*k + f*k**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 6*j - 75. Let l(z) be the third derivative of z**4\/24 + 10*z**3\/3 - 44*z**2. Let r be l(5). Solve 3*n - 8*n = -5*h + r, -4*h - 5*n = j for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-516)\/2709)\/(-2*((-8)\/2)\/4)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.132626, -5, 11?\nAnswer: 0.132626","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10110110100001 (base 2) to base 8\nAnswer: -26641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -i**3\/3 + 2*i**2 + i + 1. Let z(t) = 5*t + 14. Let m be z(-9). Let l = -26 - m. Calculate q(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/4*4\/2. Suppose -2*p = -2*x + 14, -p + x - h*x = -3. Let l be (-2 + 0)\/(1\/p). Calculate the highest common divisor of 5 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -44, 7, 195150, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47924404*b**2*r - b**2*y - 2508*b*y + 21*r*y + y with respect to y.\nAnswer: -b**2 - 2508*b + 21*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*b + 90*b + 1208 - 338 = 0 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 45 and -6.392 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 9 = -1. Suppose b*u - 9 = 5*u. Calculate the lowest common multiple of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -2\/15 (c) -5\/4 (d) -9 (e) 5 (f) -5075\/2 (g) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -994.70860262 and -7489.\nAnswer: -8483.70860262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 241791249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**4 - 12*g**3 + 8*g**3 + 3*g - 3 + 5*g**3 to the form a*g + v*g**2 + b*g**4 + q + l*g**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/1722582 and 65\/31131.\nAnswer: 5167746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 487, 475, 461, 451, 451, 467, 505?\n\"Answer: w**3 - 7*w**2 + 2*w + 491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) + -1*sqrt(4719))\/(sqrt(27) + sqrt(54)\/sqrt(2)).\nAnswer: -5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156564 divided by -3360.\nAnswer: -13047\/280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 10 = 2*r, t = -5*r + 2*r. Let q(d) = 3*d**3 - d. Let z be q(1). Suppose -z*b - 5 = 5*p + 8, b + t*p + 9 = 0. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 13 = 3*d - 2*d, 5*v + 5*d - 75 = 0. Suppose -v = 5*q - 64. What is the least common multiple of 4 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 4:28 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8825 by -5.\nAnswer: 1765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -13*b**3 - 7*b**2 - 7*b + 11. Let p(c) be the second derivative of -3*c**5\/10 - c**4\/4 - c**3\/2 + 5*c**2\/2 - c. Calculate 7*p(l) - 3*t(l).\nAnswer: -3*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3014, 10455, 22858, 40223, 62550, 89839, 122090?\n\"Answer: 2481*o**2 - 2*o + 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -d - 791699 + 791688, 0 = 5*u - 80 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 smaller than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.62 and 14.9?\nAnswer: -39.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2460*m + 3882 + 70031 = -68767 for m.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 203102311420 - -11?\nAnswer: 203102311431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 7:28 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uzzuz. Give prob of sequence uzuz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/2728 and 127\/14694.\nAnswer: 646536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 4513356?\nAnswer: 4513351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzqouuosuzuquqouuos. Give prob of sequence zuu.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010101111001011111111 (base 2) in base 8?\nAnswer: 12571377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*((a*a\/(a**(-4)*a)*a)\/a)\/a*a*a*(a\/((a*a*a**(-11))\/a*a))\/a*(a\/(a\/a**(-3)))**5 assuming a is positive.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2389 - 1630. What are the prime factors of o?\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**5\/7 + 18*u**4\/7 - 62*u**3\/7 + 102*u**2\/7 - 80*u\/7 + 24\/7 = 0?\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 525962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37001669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v - 4*v + 14*v - 14 + v. Let o be r(2). Factor 1\/2*a**2 + o + 1\/2*a.\nAnswer: a*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/6)\/((-12)\/(-18)). Suppose -188 = -4*y + x*y. Suppose 2*o + y = 4*o. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -4 (b) 3\/5 (c) -5\/2 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61505128 by 146.\nAnswer: -421268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 5*q = -50, -5*q + 20 = -188*z + 189*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -392319 to the nearest 10000.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29105859?\nAnswer: 3, 41, 83, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -105*b. Let j(i) be the second derivative of -i**3 + 1179*i. What is g(j(o))?\nAnswer: 630*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44.83883 litres?\nAnswer: 44838.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (7 - 4)) + -32 + 40 - -14\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**(-2)\/(h*h\/(h**(-2\/15)\/h)*h**2\/h) assuming h is positive.\nAnswer: h**(-62\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -210 + -13421?\nAnswer: -14131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2480389944601056*l - 2*l**3 - 2480389944601056*l.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dfhpfdhuhphdffphff. Give prob of picking 1 u, 1 f, 1 h, and 1 d.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-9)*(-2 - 4 - 3). Suppose -l = -u*v + 13 - 45, -4*l + 2*v = -140. Let w = 72 - l. Calculate the highest common factor of w and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 204 = 5*n, 3*j + n - 153 = -0*j. What is the remainder when 199 is divided by j?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*r - 7084 = -120*r - 64*r - 36*r for r.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 24 = -5*q, 2*q = -q + 15. Let j(w) = 6*w**2 - 1. Let v be j(1). Solve 0 = -4*n - p + v for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - 4*x + 8, 2*c - 20 = -3*c - 4*x for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(5\/7)*u**(7\/3)*u\/(u\/(u**(1\/8)*u)*u)*u**(1\/5) assuming u is positive.\nAnswer: u**(2833\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13740, 27329, 40918, 54507, 68096?\nAnswer: 81685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -32336822 and 0.46.\nAnswer: -32336821.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/((-4)\/(32\/12)). Let f be (-4 - -4 - -4)*(0 + p). Calculate the highest common divisor of f and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 14*j**2. Let k(u) = 5*u**2 + 16. Let r(i) = -6*i**2 - 16. Let f(p) = 3*k(p) + 2*r(p). Let m(c) be the first derivative of f(c). Calculate m(a(v)).\nAnswer: 84*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*s - 0. Let h be ((-513)\/(-76))\/(s*(-2)\/(-16)). Let q be (-1 - -3 - 8)*(-9)\/h. Let z(r) = -r - 2. Determine z(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76109306 to the nearest integer?\nAnswer: 8724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/4 - (6924\/(-432) + 16)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 2919.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 147 and 21?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 13*z = -30. Let p(c) = -20*c**3 + 24*c**2 - 24. Let x(a) = -4*a**3 + 5*a**2 - 5. Calculate z*p(h) + 24*x(h).\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 2:44 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**4 - 6*t**3 + 2*t**2 + 9*t - 1. Let r(i) = -2*i**4 + 6*i**3 - 2*i**2 - 8*i + 2. Let c(l) = -4*k(l) - 6*r(l). Factor c(p).\nAnswer: 4*(p - 2)*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1021 - -1130334?\nAnswer: 1131410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 0*o + 13646 = -2*d, -d - 6835 = -2*o. Let u = d - -11815. Suppose -u = -5*v + 20299. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((612\/180)\/((-1275)\/(-1125)))\/(((-5)\/(-21))\/1).\nAnswer: 63\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 6*k**2 + 2*k - 12. Let a be l(-5). Solve -a*p = -p + 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -3*k + 70. Suppose 0 = -f + k - 39. Suppose -12 = 3*z - 3*s + 6*s, -f*s - 7 = -2*z. Which is greater: -3\/16 or z?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 4*i**5 + 2661324*i**4 + 79837320*i**3 + 798365200*i**2 + 2661204000*i = 0.\nAnswer: -665301, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24894088111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 (base 11) in base 8?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20656423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 8176b85?\nAnswer: -8176b88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 995 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -48*q + 40. Let s(t) = -t + 1. Let z(w) = 7*w**2 + 7*w - 2. Let f be z(2). Determine f*s(o) - h(o).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a - 4. Let p(v) = 2*v - 34. Let m be p(15). Let f be (m\/3)\/(-4 - 64\/(-18)). What is w(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + 6*a = 18 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1478 - 1479 + 2957 + 176*c + c**2 - c**3 as t*c + v*c**2 + d*c**3 + s and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 49360 divided by 617\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, n: 15}. What is prob of sequence nnl?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -4 + 19. Find the second derivative of -k + 7*k - 5*k - 2*k**3 - u*k wrt k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/16 and -4 + ((-172)\/(-16) - -3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.039, -3, -3\/5, -15.3, 1.1, 0?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**2 - 15 + 5*y**2 + y + 19 - y**4 to the form m*y + v*y**2 + l*y**3 + n*y**4 + w and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39.3 - 21.7. Let n = l + 65. What is the nearest to 0 in -1\/5, n, -3\/8?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, d: 3, q: 2, l: 2, c: 1, x: 7}. What is prob of picking 2 d?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*-2 + sqrt(405) + 2 + 0 + sqrt(405) + -5 + 1 + ((sqrt(405) - sqrt(405)*-2) + -3 - sqrt(405)) + sqrt(405) + 2)**2*5.\nAnswer: -810*sqrt(5) + 18270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {f: 3, y: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 474 + -456. Calculate the remainder when 520 is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f + 24. Let o be z(8). Let a = o - -71. Suppose -3*s = -4*v - 2*s + a, s + 59 = 3*v. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -6*u**3 + 4*u**2 + 4*u - 4. Let g(q) = 65*q**3 - 45*q**2 - 45*q + 45. Suppose -110*a = -31*a - 316. Calculate a*g(i) + 45*t(i).\nAnswer: -10*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 3*s + 36595, -2*s = z - 492 - 6827. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*i - 38*i + 1080 = 0. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14362 by 4.\nAnswer: 7181\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -497 and -93733 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 q when three letters picked without replacement from gqqqgggqug?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1936, 4, -5.\nAnswer: -5, 4, 1936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + g - 93101 = 0, 0 = -87*b + 83*b - 4*g + 74484. Does 98 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.1886 rounded to zero decimal places?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**3 + 145*q**2 + 1276*q + 30. What is s(-15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6337279009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-22\/5)\/(t*t*((t*t*t\/((t\/((t\/t**(1\/4))\/t))\/t*t))\/t)\/t) assuming t is positive.\nAnswer: t**(-123\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1095, 1191, 1339, 1545, 1815, 2155?\n\"Answer: j**3 + 20*j**2 + 29*j + 1045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 234462983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*i**4 + 191188*i**3 - 106264188*i**2 - 2889760452*i + 975053536 = 0. Calculate i.\nAnswer: -184\/7, 1\/3, 1151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13047 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*r - r = 32949, -8 = 2*r. Let g = 19279 - d. What is g rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-6))\/(-3 - (-258)\/90). Let w(q) = -2*q + 5. Give w(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n - 3*n**3 + 4*n + ((0*n**2 + 0*n**2 + 2*n**2)*(1 + 0 + 1) + 4*n**2 - 3*n**2 - 3*n**2 - n + n + 3*n**2)*(5*n + 15*n + 17*n).\nAnswer: 182*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -233300003003 (base 4) to base 10\nAnswer: -12517571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j**(-1\/3)*j\/j**(3\/4))\/((j*(j*((j**(-1)\/j)\/j)\/j*j)\/j)\/(j*j\/(j**(1\/7)\/j*j*j)*j)))**28)**(-8\/3) assuming j is positive.\nAnswer: j**(-3880\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -10251 = -10253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6920, 7000, 7080, 7160?\n\"Answer: 80*k + 6840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**3 + 2*s - 2*s + (3 - 2 - 2)*(-4500*s**3 - 4298*s**3 + 8555*s**3) to the form g*s + t + i*s**3 + o*s**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 17\/6, -25, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 5*x + 6, -k = 3*k + 2*x - 22. Calculate the remainder when 12 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/5 - 56\/(-5). Let k = 188 - 185. Suppose -35*g = -32*g - k. Solve g = -2*n + c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/5 + 61*y\/10 - 3\/2.\nAnswer: -(y - 15)*(4*y - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**3 + 92*x**2 + 66*x + 2995. Give u(-31).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of r**5\/4 - 475*r**4\/4 + 945*r**3\/2 - 1415*r**2\/2 - 6*r + 68. What is m in y(m) = 0?\nAnswer: 1, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 16, 54, 150, 334, 636, 1086?\n\"Answer: 5*f**3 - f**2 + 6*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53 + 57. Suppose c*g - 5*s + 49 - 284 = 0, 0 = 2*g - 5*s - 115. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrj when four letters picked without replacement from jrrjr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1276700 rounded to the nearest ten thousand?\nAnswer: -1280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (19 - (-8 - -1) - 1) + -7?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 553664735?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/2? (a) 88.168 (b) 0.3 (c) 12 (d) 5 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2600829 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*l + 2 = 0, k - 3*k + 2 = 4*l. Let g = k + 10. Suppose -t = 5*d + 5 - 28, 2*t - 2 = d. Solve 2*n - t = g*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4*t + 24, -2*m + 3*m - 14 = -3*t. Suppose -m = -0*f - 4*f. Find the third derivative of -f*x**4 - 4*x**4 - 4*x**2 + 3*x**4 wrt x.\nAnswer: -72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.21273693*-4.\nAnswer: -0.85094772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -0.3 (b) -2 (c) 1\/13 (d) -3\/5 (e) 6 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21\/(-49) + 87\/203. Solve r = 2*y - 3*v - 2, 2*y - 6 = 2*v - 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 65*y**2 + y + 60. What is s(65)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -305073210 divided by -5.\nAnswer: 61014642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - 4574?\nAnswer: -457c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 4*a**2 + 4*a + 2. Let v be (-2)\/(11\/3 - 3). Give c(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1592*w + 27310 + 3438 - 5276 = 0 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*x**2 + 2190 - 3*x**2 - 2194 in the form s + r*x**2 + z*x and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (14 - -9)) + (2 - -37)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -w**7\/14 - 19*w**4\/12 + 23*w. Find the third derivative of x(f) wrt f.\nAnswer: -180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 20 = k + 172, -229 = -3*h + 2*k. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14971145 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -191 divided by 2.\nAnswer: -191\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -511133 + 535?\nAnswer: -510154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-5)\/(-60)*(-24)\/42.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4570814046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -7*n + 536. Let p be s(75). Sort 4, 5, -5, p.\nAnswer: -5, 4, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 15*d - 213. Let x be p(24). Let b(y) be the first derivative of -5\/2*y**4 + 4\/3*y**x - 4*y + 10 + 5*y**2. Factor b(u).\nAnswer: -2*(u - 1)*(u + 1)*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(209) + sqrt(209)*-2)\/sqrt(11) + 3 + sqrt(19) + 1 - (3 + sqrt(304) + 0 + -1).\nAnswer: -4*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - 1206?\nAnswer: -1217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -9 + 39*t**2 - 17*t + 22*t - 38*t**2. Determine n(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -b**2 - 100. Let r(x) = -2666*x + 1. What is r(a(y))?\nAnswer: 5332*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/2 + (-169)\/(-26) - 3. Suppose -6*c = z*x - 3*c - 3, 5*x = 3*c + 45. What is the remainder when x is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 78, 565, 1882, 4443, 8662, 14953, 23730, 35407?\n\"Answer: 69*w**3 + w**2 + w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 106 = 84. Calculate the greatest common divisor of 19 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 3159c?\nAnswer: -315a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-135)*(-75)\/(-175)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 738.7855ug to tonnes.\nAnswer: 0.0000000007387855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100200020 - -10?\nAnswer: -100200010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -882, -1296, -1244, -726, 258, 1708, 3624?\n\"Answer: 233*y**2 - 1113*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137939 is divided by 66.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 8 = -5*n - 0*p, -p = -2*n - 3. Let h be 27\/(-10)*n + (-12)\/30. Suppose 59 = t - h*s, -5*t - 2*s - 25 = -185. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -19.8337 and 45.\nAnswer: 25.1663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -887*z + 1143 + 2546 - 1028. Factor -1\/2*g**z + 1\/2*g + 1\/2*g**2 - 1\/2*g**4 + 0.\nAnswer: -g*(g - 1)*(g + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 17*d = 27. Suppose -5*w - 2*h + 15 = 2, 0 = 3*w - 3*h + d. Let b be (2\/2)\/(w\/3). Solve -x + b = 3*v, 0 = -2*x + 4*x - 4*v + 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**(1\/2)*c))\/c)\/c)**(-12)*((c**(-2\/3)\/c)\/c*c)**(-2\/5)*(c**(-1\/3)\/c)\/c**(-1\/5)*(c*c*c\/(c*c*c**(-2)\/c*c*c))**(-10) assuming c is positive.\nAnswer: c**(143\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 69838*o - 8. Let h be q(5). Suppose 160820 = u - h. Suppose -d = j + u, 5*d + 2040004 = d - 2*j. Round d to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen quarters of a year?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z - 3. Let n be f(-7). Suppose n*l = l + 54. What is the common denominator of ((-6)\/l)\/((-40)\/318) and -39\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56342.\nAnswer: 2, 11, 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 235 = -935. Let c = q + -93. Solve c*h + 5 = -23 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 16 - 51 - -31.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3 = y, 0*j - y = 2*j - 12. Suppose -1 = -f + j. Calculate the lowest common multiple of f and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 12 = -3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 194333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 749.491 meters to nanometers.\nAnswer: 749491000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m + m - 4 - 2*m**2 - 4*m + 3*m. Let q(z) = -2*z**2 + 3*z - 3. Give -4*q(n) + 3*u(n).\nAnswer: 2*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23108.\nAnswer: 2, 53, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17884?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1138176?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*p**2 + 21*p**2 + 2*p + 54 - 12*p**2 - 2*p to r*p + t*p**2 + s and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 7:16 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 245454*v**3 + 272*v**2 - 238 wrt v.\nAnswer: 1472724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 7:25 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0*u - m = 0, -5 = -2*u + m. Solve 29 = -2*f + u*c, 0*c = -2*f + 2*c - 14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1426 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkfkkkkkkfkkf. What is prob of sequence kkf?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2299212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1341429221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - f - 69, 3*f = 5*m - 2*m - 45. Suppose 5*l - o - 1 = 14, 4*o + m = -l. Suppose -l*s - 74 = -4*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 - 1484*x**2 - 138380*x - 136900.\nAnswer: -4*(x + 1)*(x + 185)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8121507, -8121439, -8121371, -8121303, -8121235?\nAnswer: -8121167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 142 + -141. Let l be 1*(94\/(-98) + 1). Which is greater: i or l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-1 + sqrt(19) + -5 - 2*sqrt(19)*-5))**2.\nAnswer: -132*sqrt(19) + 2335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30303*l + 30303*l + 434*l**5)*(-36 + 5 - 31).\nAnswer: -26908*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - (-44 + 23 + 6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of r**4\/4 - 2*r**3 + 7*r - 1. Suppose 3*s - 4*d - 17 - 42 = 0, 4*d + 46 = 2*s. Suppose -s*i = 8*i - 126. Calculate f(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111362.0703 rounded to the nearest ten?\nAnswer: 111360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*g**3\/6 + 11969107*g**2\/2 + 2335752691944*g - 304663496418 = 0 for g.\nAnswer: -780594, 3\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*d - 12. Let f be (-6)\/d + (-28)\/(-6). Let i = f - 3. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 8:05 PM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m + 7*m - 3*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -825777, -1651547, -2477317, -3303087?\n\"Answer: -825770*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 664967131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j. Let z(i) be the third derivative of -1\/8*i**4 + 0*i - 11*i**2 + 0 + 0*i**3. What is t(z(x))?\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -37*a - 1. Determine c(-1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 20 = 2*u, -r + 3*u + 42 = 4*r. Let t = 124 + -46. Suppose 0 = -g - r*o + o + 34, 3*g + 3*o - t = 0. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/(sqrt(24)\/sqrt(4)*-4))\/(sqrt(288) + sqrt(288)*1*-2 + sqrt(288) + sqrt(288) - sqrt(288) - sqrt(288)).\nAnswer: sqrt(13)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 6 - 6)*(3 - 3 + o**4) + 3*o - 2*o**5 - 3*o.\nAnswer: -7*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69732, -74139, -81492, -91797, -105060, -121287, -140484?\nAnswer: -162657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 2*d - 4*s - 2, -4 = 4*s. Suppose u = 2*h - 3*u - d, -3*u = 5*h - 66. Is 3*(148\/h - -2) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/8 + 1757\/252 + -50 + 44. Which is the nearest to 5? (a) 2\/21 (b) 1\/13 (c) j (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3038016745 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2257610230?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 9*z**2 - 22*z + 1. Let b be (-26)\/30 + 1 - 154\/30. Let p be u(b). Let g(r) = r**2 - 10*r - 11. Determine g(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 * 4680196\nAnswer: 6552274.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.34 and -0.07.\nAnswer: 0.0238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2370555 by -165.\nAnswer: -14367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(20)\/sqrt(4) + -5*(sqrt(5) + -2) + (sqrt(15)\/(6*sqrt(108)))**2.\nAnswer: -6*sqrt(5) + 12965\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 4*a + 2. Let y be n(-4). Let m = -7 - -9. Suppose m*w - 1 = -3*p, y*p - 4*p + 2*w = -14. Solve -25 = -p*z - 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from meyeemfyqeaq. What is prob of sequence aeyf?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2377?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -7*m**2 + 547*m - 641. Give y(77).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -14)\/1 - 1. Suppose c + 41 = 5*f, 0*f + 4*c = -2*f + v. Suppose -u + f = -17. What is the highest common divisor of u and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 40\/11 (b) 0.4 (c) -50963.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -101002?\nAnswer: 100333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/2 - -1) + 0. Suppose -a - 68 = -0*z - f*z, -4*z - 4*a + 124 = 0. Calculate the greatest common divisor of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.07, -5, 0.2, -2\/15, -1464?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1954*h + 1815*h - 3792*h.\nAnswer: -23*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 29. Let q(i) = 3*i + 20. Let d(f) = 3*q(f) - 2*y(f). What is d(10)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72667 is divided by 12105?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 150b (base 13) in base 2?\nAnswer: 101111101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0173674 rounded to 3 dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -163331, -326690, -490063, -653450, -816851?\n\"Answer: -7*s**2 - 163338*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {g: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 7.31?\nAnswer: 7.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6013979 > 6013977?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-1342)\/121 + 10)*(-22)\/4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, g: 1, j: 1, e: 1, o: 1}. What is prob of picking 1 g and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a tonne in kilograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/13)\/r)\/r*r*r\/(((r*r*r**(1\/8)*r)\/r)\/r))**(1\/23) assuming r is positive.\nAnswer: r**(-133\/2392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*f**2\/5 + 34*f\/5 - 12\/5 = 0.\nAnswer: 6\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 250 = 5*w, -3*w = p - 145 + 5. Suppose -2*n - 7 + w = 0. Let x = n + -24. Which is the second biggest value? (a) x (b) -0.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -204421052 (base 7) to base 6\nAnswer: -1110431412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 358175827 to the nearest integer?\nAnswer: 18926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -t + 226. What is t rounded to the nearest ten?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) -174 (c) -1\/6 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h + 3. Let g be 12\/(-42)*-83 - 4\/(-14). Let z(w) = g*w - 12*w - 18*w - 1. Let j(d) = 2*d - 1. Let v(a) = 6*j(a) + z(a). Determine 4*v(s) + 9*y(s).\nAnswer: -3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, j: 5}. What is prob of sequence nj?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 - 57 = -5*o - 4*d, 4*d - 100 = -4*o. Suppose -o*l = -12053 - 6226. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 70\/56 + ((-475)\/(-25))\/(-19). Factor 0 + 1\/8*v**5 + 1\/4*v**2 - z*v**4 - 1\/8*v**3 + 0*v.\nAnswer: v**2*(v - 2)*(v - 1)*(v + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -19 + (-16 - (-1422)\/36). Solve -25\/2*q**4 - z*q**5 - 3\/2*q**2 - 21\/2*q**3 + 0 + q = 0 for q.\nAnswer: -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5026881, -10053771, -15080667, -20107569, -25134477, -30161391?\n\"Answer: -3*o**2 - 5026881*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8988503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 233 + -402435321?\nAnswer: -402435044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121100 - 20?\nAnswer: 121010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ymi. Give prob of picking 1 m and 1 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and 53.670647.\nAnswer: 53.570647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2422242485.\nAnswer: 5, 13, 41, 908909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5324778 * -3.\nAnswer: 15974334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-325 + 4*b + 13*b**2 + 7*b**2 + 323)*(-b + 0*b - b).\nAnswer: -40*b**3 - 8*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j**2 + 2*j + 25. Let b(t) = -2*t**2 - t - 13. Determine 2*a(z) + 5*b(z).\nAnswer: -2*z**2 - z - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + (2\/(-8) - (-203)\/28). Let b(a) = a**3 + 4*a**2 + a + 3. List the prime factors of b(m).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6237 and 891.\nAnswer: 6237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 672 and 128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25760?\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 738957703?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.440155 kilograms in grams?\nAnswer: 8440.155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20485288.31 + 39.32\nAnswer: 20485327.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 127339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h - 563. What is g(75)?\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2111 bigger than 185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.39112079 and -1787.\nAnswer: -1785.60887921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i + 15*i = -3300. Let y = i + 140. Solve 0 = -17*z + y*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*x = -34*x + 25. Suppose 0 = -x*u + f + 14, -f = -2 + 6. Solve -2*j + 4*z = -5*j - 20, 0 = -u*j - 2*z - 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60068?\nAnswer: 2, 15017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 14. Let a be k(-18). Let w be 5 - (-2 - (2 + a)). Let u(v) = v**3 - 4*v**2 - 8*v + 3. Give u(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -191 or -1\/64?\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 32*z**5 + 7*z**2 - z + 7. Let y(q) = -11*q**5 - 2*q**2 - 2. Let n(j) = 2*r(j) + 7*y(j). Find the second derivative of n(k) wrt k.\nAnswer: -260*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -4*h**4 - 12 + 1\/2*h**2 + 7*h - h**3. Is v(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 93 - 10. Suppose -52 = -5*j + u. Solve -3*i = 4*d - d + j, 0 = -5*d + 2*i - 10 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -w**4\/6 - 13*w. Let q(m) = 7*m**2. Determine r(q(g)).\nAnswer: -98*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a century in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - -226.3939412.\nAnswer: 234.3939412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1330298 - 2*m + 1330298.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -47, -118, -199, -296, -415, -562?\n\"Answer: -n**3 + n**2 - 67*n + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5125*h - v - 16 = -5124*h, 4*h - 3*v = -92 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006899 rounded to seven decimal places?\nAnswer: -0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.08 - 2.08. Which is the closest to -1\/2? (a) d (b) 8 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 5:03 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + -1.1. Suppose m + y = -105, 20*m - 3*y = 21*m + 115. Are k and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -148254575*f**4 - 2*f**3*z**3 + 40*f*z**3 + 10037*f*z + 4*f - 4*z**3 wrt f?\nAnswer: -1779054900*f**2 - 12*f*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*y + 3*z, 9*y + 30 = -z + 16 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1413\/628*48\/(-72)*6\/4.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 1)*(44*j + 147*j - 53*j + 497*j).\nAnswer: -3175*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(80) - (-4 + (0 + sqrt(80) - sqrt(80))**2)) + -5 + (sqrt(720) - sqrt(25)\/sqrt(20))**2.\nAnswer: 4*sqrt(5) + 2625\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -8068 and -0.1.\nAnswer: -8068.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w - 113 = -303. Let a(h) = w*h - 68*h**2 + 25*h - 44*h + 67*h**2. Let c(r) be the third derivative of 11*r**4\/12 + 2*r**2. Determine a(c(o)).\nAnswer: -484*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 239315 * -0.1\nAnswer: -23931.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, d: 1, s: 3}. What is prob of sequence pd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 3756420.686 to the nearest 100.\nAnswer: 3756400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 616 and 994?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.023, -5\/6, 4, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11252 take away -0.187?\nAnswer: 11252.187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a factor of 47983326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110, 144, 192, 260, 354?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.9 (b) -4 (c) -0.2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1828?\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*a**2 + 5 + 6 - 11)*(2*a**2 - a + a).\nAnswer: 126*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 818198 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*d + 0*d - 2 + 3*d)*(-5*d + 5*d + 2*d).\nAnswer: -10*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 y when two letters picked without replacement from {e: 5, y: 13, l: 2}.\nAnswer: 13\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 times -85517?\nAnswer: -2223442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5889.\nAnswer: 3, 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100110 (base 2) to base 12.\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqw when three letters picked without replacement from {j: 2, w: 2, g: 1, a: 2, q: 7, e: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -6*c. Let j(i) = 31*i + 10. Let m(f) = -325*f - 104. Let s(t) = 52*j(t) + 5*m(t). Calculate x(s(o)).\nAnswer: 78*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 10*d - 15*d. Factor 3*b**2 + d*b**3 - 3*b**2 - 45*b**4 + 49*b**4.\nAnswer: 4*b**3*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -115\/12 + 28\/3. Let v = 1 - 1.1. Let r = 22 - 64\/3. Which is the closest to v? (a) r (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 2*a**3\/21 - 582*a**2\/7 - 1166*a\/7 - 6660. Factor r(s).\nAnswer: 2*(s - 583)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/55 and -11\/115?\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*b**2 - 47851302154*b + 47851302154*b.\nAnswer: -48*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0*c + 4*c = 0, -3*c - 16 = -q. Suppose -q*h + 3*v = h + 15, -v = -2*h - 7. Is -46\/7 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -17. Let r(t) = 3*t - 17. Let g be r(6). Let z be (-2)\/10 + (226\/5)\/g. What is the greatest common divisor of z and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (112\/8)\/2*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 44, -5, 135, 3, -3 in decreasing order.\nAnswer: 135, 44, 3, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x + 1. Let f(n) = -2 - 7*n**2 + 3*n + 6*n**2 + 1. Let b(q) = -q**2 + 2*q + 2. Let y be b(3). Let p = 325 - 327. Give p*h(a) + y*f(a).\nAnswer: a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of t**4\/3 - 7*t**3\/6 + 5*t**2\/2 - 15*t. Let k be u(2). Suppose k*n + 415 = 12*n. List the prime factors of n.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/3576 and 173\/120.\nAnswer: 17880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 43 and -0.021?\nAnswer: -0.903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -53, -147, 4 in descending order.\nAnswer: 4, 1, -2, -53, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 1867757403993.\nAnswer: -1867757403998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)\/p)**(-2\/55) assuming p is positive.\nAnswer: p**(2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 654006 is divided by 526?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5314, 10656, 15994, 21328, 26658?\n\"Answer: -2*x**2 + 5348*x - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.6175093ms to hours.\nAnswer: 0.00000156041925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 0*d**5 + 0*d**6 + 3\/112*d**8 + 0 + 0*d**3 + 0*d**7 + 0*d + d**2 - 1\/12*d**4. Find the second derivative of w(s) wrt s.\nAnswer: 180*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -79*p + 92*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 82, 153, 246, 361, 498, 657?\nAnswer: 838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*2*sqrt(125) - sqrt(125)*1*3)*-6)**2 + -3.\nAnswer: 364497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.16 - -0.56. Let x = 112.7 + -106. Let r = -7 + x. Sort 2\/3, l, r.\nAnswer: r, l, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l + 8. Give y(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/49 and 67\/63?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*z + 5*a + 4, z - 3 = -2*a. Suppose b = -z*b + 20. Let y be (2 - 1 - 0) + -1. Solve -k - b = -y*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 11. Let v be h(-11). Suppose -5*m + 4*m + 2 = v. Factor 2\/7*c**m + 4\/7*c + 0.\nAnswer: 2*c*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 0, -60, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 134592 (base 10) to base 11\nAnswer: 92137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-23)*m)\/((m\/(m\/(m**(-1\/5)\/m)))\/m) assuming m is positive.\nAnswer: m**(-99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 182\/28 + 2\/(-4). What is the units digit of (-20)\/30 - (-148)\/a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1835 is divided by 599?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 174128 to the power of 1\/2, to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*j + 20*j - 496. List the prime factors of j.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z + 1. Let d(v) = 7*v + 16. Let a be d(4). Suppose -a*x = -40*x - 240. What is the remainder when x is divided by l(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-75)\/(-2) - 3\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 1101011011101010?\nAnswer: -1101011011100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12867 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.9, -12\/29, 0.1, 1, 5 in descending order.\nAnswer: 5, 1.9, 1, 0.1, -12\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -229*f**5\/20 + 83*f**3\/3 - 3*f**2 + 75*f. Find the first derivative of z(q) wrt q.\nAnswer: -1374*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 + -89. Let q be ((-66)\/(-11))\/((-2)\/(-7)). Let t be (4\/(-6))\/(m\/q). Which is the closest to t? (a) -4\/3 (b) 0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/640 and 5\/61750368?\nAnswer: 1235007360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -18*q - 244. Let w be n(-14). Solve -12*b + 12 = -w*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 28\/(-864)*-3*3. Let w(i) be the second derivative of 1\/20*i**5 + 0*i**2 - 7\/60*i**6 - 1\/6*i**3 + o*i**4 + 0 + 2*i. Solve w(h) = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2658 + -2662. Sort -6, 0.4, v, -2, -1 in increasing order.\nAnswer: -6, v, -2, -1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*p + 3*o = 226*p + 42, 2*p - 19 = -o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 33 = 5*x, -3*x - 131 = 8*v - 10*v. What is the highest common divisor of 5162 and v?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 818.\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4*y - 5, 3*y - 4*x - 28 - 7 = 0. Suppose a = y*o + 13, -a + 2*o - 6*o - 32 = 0. Let i = -4 - a. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -11 + 9 - -4 - (1 + -194). What is the third derivative of 194*a**2 + v*a**2 - 41*a - 3*a**3 - 388*a**2 - 21*a**4 wrt a?\nAnswer: -504*a - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**2. Let p(l) = l**3 + 10*l**2 + 6*l - 27. Let a be p(-9). Let h(s) be the second derivative of 1\/6*s**3 + 0*s**2 - 2*s + a. Calculate h(i(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69 and 39652?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17\/((-51)\/(-2))*(155 - -1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 225 and 4316805.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -104255 (base 8) to base 13\nAnswer: -12c06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/4*(-8 - -6). Suppose 2*x = x + k + 2, -2*x - k + 13 = 0. Solve -x + y = -t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*q - 2)*(2*q**2 - q**2 + 6*q - 2*q).\nAnswer: -2*q**3 - 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 18\/5 of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**3 - 14*k**2 + 23*k - 26. Calculate i(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y = -5*y - 90 + 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 2, 0.\nAnswer: 0, 2, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -607 (base 12) to base 11.\nAnswer: -722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2703535?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*a - 52*a = 0. Factor -4\/3*g**2 + 0 - 2\/3*g**5 - 8\/3*g**4 + a*g - 10\/3*g**3.\nAnswer: -2*g**2*(g + 1)**2*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/6)\/((-2)\/(-12)). Let h(m) = 2*m**2 - 2*m + 1. Is h(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 705, 742, 793, 864, 961, 1090?\nAnswer: 1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 252\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1908\/795 + (-20)\/25.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrjjrrssre. Give prob of sequence srjj.\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 263, 228, 153, 26, -165?\n\"Answer: -2*g**3 - 8*g**2 + 3*g + 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 2*q - 27*q)*(-3*q**2 - 2*q**2 + 4*q**2).\nAnswer: 27*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6194 - -6194.1. Suppose 29 = -4*y + 181. Which is the nearest to 0? (a) 2 (b) j (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 2\/2909?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/340 - (-27350964)\/224145?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-4 - (-4 - -9)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 37 - 1 = 0. Suppose -w*n = 2*u - 1167, u = -2*n + 33 + 548. Let k = u + -346. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(((-3)\/2)\/((-3)\/(-6))). Let o(w) = 4*w + 3. Let j be o(b). Solve 5*z - 16 = -3*r, -3*z = 5*r + j - 19 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1219*b + 594*b + 687*b - 2914 = 0 for b.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2230, 2227, 2224?\nAnswer: 2221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 2:05 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 0*p**3 + p**2 - 11 - 2\/15*p**6 + 0*p**4 + 0*p + 13\/15*p**5. What is the third derivative of z(r) wrt r?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**2 - 9*a. Let i(j) = 10*j**2 - 28*j - 1. Let d(l) = 2*i(l) - 7*u(l). Calculate d(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-32 + 5 + 3 + -2)) + 37 + -29?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -267*t**2. Let s(b) = 4*b**2. Give m(s(f)).\nAnswer: -4272*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) + sqrt(108) + ((sqrt(108)*-1 + 2)**2 - sqrt(108)) + 1 + ((-1*sqrt(18)\/sqrt(3))\/(2*sqrt(2)*2))**2.\nAnswer: -18*sqrt(3) + 1811\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 39417411683345.\nAnswer: 39417411683348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -501230 by -2.\nAnswer: 250615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183825212.\nAnswer: 2, 45956303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13182 = -392*x + 2066 + 2784 for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4205 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 172, 592, 1260, 2176, 3340, 4752?\nAnswer: 6412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -775 = -4*d - 3*j, 5*d + 4*j + 0*j - 969 = 0. Let u = d + -108. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 19474297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4980150275 a multiple of 840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*z**4 + 3765*z**3 - 9408*z**2 + 5004*z = 0. What is z?\nAnswer: 0, 3\/4, 2, 278\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(28\/7))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 2*i - i)*(1 - 3 + 4)*(0 + 1 - 3) + 1 - 1 - 2*i.\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1014*p**2 - 27*p - 32*p - 33*p + 147*p - 53*p in the form t*p + n*p**2 + o and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t - 1. Let r(w) = -20*w + 9. Give 28*n(c) - 4*r(c).\nAnswer: -4*c - 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64)\/sqrt(4)*5 + 2*sqrt(64) + sqrt(64))*2)\/(sqrt(288)*1 - (sqrt(288) - (sqrt(288)*3 + sqrt(288) + sqrt(288)) - sqrt(288))) + 4.\nAnswer: 11*sqrt(2)\/18 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -8. Is -11 >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -4*l**3\/3 + 185*l. Let d(v) = v**2. Determine t(d(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 226 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00027041052 rounded to 7 dps?\nAnswer: -0.0002704","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-485)\/(-45) + -11)\/(-6 + (-7)\/5796*-4966)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 5*s**2 + 13*s + 16. What is u(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.22 + -3.138. Let v = -0.082 + z. Which is the closest to -3\/2? (a) v (b) -3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 j, and 1 w when four letters picked without replacement from {w: 1, f: 5, j: 3, g: 1, x: 5}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/13, -2\/79, 2584?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**6\/15 + 7*r**4\/24 - 910*r**2. Let p(b) = 9*b**3 + 7*b. Give 6*p(d) - 7*u(d).\nAnswer: -2*d**3 - 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/5 + 184*r\/5.\nAnswer: r*(r + 184)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*d - 36. Let f be (-2 - -4) + d\/(-6). Let m = -0.1 + 0. Is m <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 3. Suppose 155 = -b*f - 115. What is f rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-2)\/12*-2. Let m = 2 + -5. Let s(f) = -2*f - 24. Let w be s(-11). Which is the nearest to u? (a) 1 (b) w (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -569 + -1?\nAnswer: -570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 - 170 = -5*r. Let l = r - 32. Calculate the remainder when l is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -12*r + 10. Let s(h) = -h**2 - 13*h + 9. Let a(y) = -4*s(y) + 6*u(y). Factor a(q).\nAnswer: 4*(q - 3)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 4*j**2 - 2*j + 10. Let u be h(4). Put 4, u, -32 in increasing order.\nAnswer: -32, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/2*j**4 - 16 + 5*j**3 + 10*j**2 - 12*j - 1\/2*j**5 = 0. What is j?\nAnswer: -4, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 - -13647318?\nAnswer: 13647326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 30*z - 20 = -25*z, 4*u - 17 = z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d**2 + 20*d - 16. Give r(8).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = p - 76. Calculate the remainder when 75 is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*n**4 + 384*n**3 - 3078*n**2 + 5832*n + 15309.\nAnswer: -3*(n - 9)**3*(5*n + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jt when two letters picked without replacement from ejteetejc.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 26) + (-4)\/(624\/(-1412))?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 788*l + 21 + 791*l - 522*l - 1056*l - 4.\nAnswer: l + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2084 or -14585\/7?\nAnswer: -2084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - -56. Let o = t + -62. Solve -12 = -o*g + g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 3:14 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i. Let c(p) = -p - 1. Let v be 141\/13 + (-4)\/(-26). Suppose n + 8 = v. Let o(b) = 2*b + 1. Let s(y) = n*o(y) + 3*c(y). What is m(s(q))?\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-30))**(-2\/7) assuming k is positive.\nAnswer: k**(60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 992 - -616. Suppose -18*a + z = -10*a. What are the prime factors of a?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - (100 + -81 + (2 - 19))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 156948900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**4 - 27*n**3 + 7416*n**2 + 6502938*n wrt n?\nAnswer: -12*n**2 - 162*n + 14832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.77778 to 2 dps.\nAnswer: 4.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 56547.07 weeks?\nAnswer: 34199667936000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vqv when three letters picked without replacement from {q: 6, v: 13}?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*c**2 + 10*c**2 - 3*c**2)*(-103*c + 4*c**3 - 4*c**3 - c**3).\nAnswer: -26*c**5 - 2678*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-60))\/((-6)\/60).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 124*q**2 + 2*q - 5. Let r(n) = 121*n**2 + 3*n - 7. Let g(s) = -3*j(s) + 2*r(s). Let o(k) = -2*k. Calculate o(g(a)).\nAnswer: 260*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 12*t = 23*t + 23, 2*q = t + 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 56750274 + 6649726. What is t rounded to the nearest one million?\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 32*j**2\/15 + 1392*j + 227070 = 0.\nAnswer: -1305\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 4*i + 236, -57*t + 24*i = -27*t - 27*t + 17*i + 151 for t.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 57702 and 10.\nAnswer: 288510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 53373 (base 13) to base 4\nAnswer: 210213231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8024 is divided by 32?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 61366*l - 3313781. What is z(54)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -192.02 - -188.02025. Let i = -3.91 + -0.09. Let a = l - i. What is a rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(7\/4))**(-5))**31 assuming h is positive.\nAnswer: h**(465\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/((-2)\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 + 16*i + 10. Let m be n(-10). Suppose -4*o + m = -5*d - 510, 536 = 4*o + d. Let k = o + -85. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 84, 153, 268, 429, 636, 889, 1188?\n\"Answer: 23*z**2 + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -2*f + 3, 0 = -6*m + 31*f + 31*f - 60*f - 10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -11, 1\/5, 0.41, -3\/4?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -11. Suppose 5*q = -i*k - 46, 5*q + 7 + 35 = -k. Let t be (-2)\/q*-2*-4. Let v(u) = -5*u - 1. What is v(t)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**5 - 30*k**4 + 170*k**3 - 280*k**2 + 195*k - 50.\nAnswer: -5*(k - 1)**4*(k + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((-2 - (1 - 68)) + (51 - 62)) - 5\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -36*v - 452. Determine o(-24).\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w - 2. Let s(a) = -5*a - 2. Let n(g) = -4*k(g) + 5*s(g). Let c be n(3). Let b = -18 - c. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 201222401 + 310?\nAnswer: 201223211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -149*k**6\/120 - k**5\/15 - k**4\/24 - 2275*k**3\/6 - 3924*k**2. Find the second derivative of f(c) wrt c.\nAnswer: -894*c - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/96*(-3)\/6. Which is bigger: t or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 106\/(-65) - (0 - 2\/5). Let g = i + 86\/91. What is the nearest to g in -2\/7, 1, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 10:20 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + m. Let o(f) = 275*f**3 - 208*f**3 - 3*f - 64*f**3. Suppose 4*q + 4*u + u = -18, 0 = -2*u - 4. Calculate q*o(g) - 5*n(g).\nAnswer: -g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l - 13. Let f be 1\/(28\/(-9) - -3). Let j be q(f). Solve p - 4 = -j for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.99 + -0.01. Let t = -4.6 - l. Which is greater: 0.3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3*m*t**3 - 21*a**3*m + 2*a**2*t**3 + 2*a*m*t + a*t**2 + 62*t**3 wrt a?\nAnswer: -6*a*m*t**3 - 126*a*m + 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10cbc8 (base 13) to base 9.\nAnswer: 668228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**2 - s**2 + s**2 + 0*s**2 + 1 + 2*s**2 - 2 + (0 + 0 - s)*(58 - 58 - 49*s).\nAnswer: 52*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -220 + 223. Find the second derivative of -18*j**n + 2*j**3 - j - 97*j**2 + 14*j**3 + 10 wrt j.\nAnswer: -12*j - 194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68 and 0 - -2 - (13 - 7 - 40).\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (2 + 12) - -51 - (0 + (0 - -4))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 142277 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: Calculate the highest common divisor of 48528 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -197270 - 3.54349795?\nAnswer: -197273.54349795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 554722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - x - 9, -6 = -5*l - 3*x. Suppose -3*y + 3531 = -3*s, -3*y + 8*s - l*s + 3523 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -592*j + 1818 + 15942 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-495)\/11*(-3)\/15?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**2*u**2 - 5322*j**2*u - 28*j**2 + 8*j*u**2 + 14*j*u + 2*u**2 + 536 wrt j?\nAnswer: 4*u**2 - 10644*u - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, s: 2, g: 4, l: 2}. What is prob of sequence vggv?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+3597.91521\nAnswer: 3598.21521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = -69 + 69. Solve 3*q + 5*x - 13 = 4*x, 9*x - 36 = f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -21*r**3 - 25*r**2 + 6*r + 11. Let h(k) = 4*k**3 + 5*k**2 - k - 2. Give -11*h(m) - 2*u(m).\nAnswer: -2*m**3 - 5*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/35 - 27\/280. Let t = -4.87 + -0.13. Which is the smallest value? (a) m (b) -1\/6 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f - 28*f + 2*f - f in the form t*f + r and give t.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12279 - -1740?\nAnswer: -10839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3366 - -7484. What are the prime factors of x?\nAnswer: 2, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**2 + w. Let m be s(1). Suppose 0 = m*k + 5*x - 13, -5*k - 3*x + x = -12. Calculate the least common multiple of k and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 323*n - 319*n. What is the remainder when 1352 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134\/(-335) + (-17)\/(-5) + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.564004 + 3953.\nAnswer: 3953.564004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xyy when three letters picked without replacement from xyxyuuyxxuyyuyyy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -110 or -49\/8?\nAnswer: -49\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 5 = -4*q. Solve 2*c + q = -0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003705 rounded to 7 dps?\nAnswer: 0.0000371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -374, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/42 - 146\/7. Let t be (-31)\/((1 - 2)*1). Let v = t + h. Solve v = 3*z - 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {m: 3, d: 1, a: 2, k: 4, l: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4462 - -84528?\nAnswer: 80056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -38cb91 - -24?\nAnswer: -38cb6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*a**2*o**5 + 4*a**2*o**3 + 6*a**2*o + 4*a*o**2 - 2*o**2 wrt o.\nAnswer: -780*a**2*o**2 + 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 671*g**2 + 3208*g - 3208*g - 1.\nAnswer: 671*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 + -21. Let v = -10 + u. Are -1\/2 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 147.7, -0.06, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q - 1. Suppose 0*c + c = -1. Let t(v) = v**2 - 7*v + 6. Calculate c*t(b) - 6*r(b).\nAnswer: -b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10103202 - -23301?\nAnswer: 10133103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d**2 + 3*d**2 - 2*d**2)*(-153 + 78 - 206)*(0 - 3 - 2 + (-3 + 0 + 1)*(-3 + 3 - 2)) to the form s + p*d**2 + m*d and give p.\nAnswer: 843","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122021 + -201201021212?\nAnswer: -201201221010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -387 - -400. Let m(b) = -b**3 + 18*b**2 - 10*b + 26. Is m(y) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265.01 times -4?\nAnswer: -1060.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 1.3, 0.6, -547, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**5\/60 + d**4\/4 + d**3\/6 - d**2. What is the units digit of q(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of q**5\/30 - 11*q**4\/24 - 9*q**2. Let z(r) be the second derivative of -r**4\/12 + 4*r - 4. Calculate z(y(p)).\nAnswer: -4*p**4 + 44*p**3 - 121*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14379.2805 and -0.12.\nAnswer: -1725.51366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3593 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 663, 1\/5?\nAnswer: 663","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -465 or -466?\nAnswer: -465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (195 - -21) + (-4)\/(-1). Let p = h - 29. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 30*y + 130. Let p be c(5). Let n(z) = -z**2 + 27. Let l be n(p). Suppose 2 + 10 = 4*h. Solve -i + 5*q = -13, l*i - h*q = q + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/1348 and 12\/7751.\nAnswer: 31004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.133 and -127.\nAnswer: 16.891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32192723267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-290732)\/(-416) + (-4)\/(-32). Round s to the nearest ten.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3e04be + -1?\nAnswer: 3e04bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -16.76 * 127\nAnswer: -2128.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*l - 24*l + 72 = 0. Let u be (6*4\/(-224))\/(l\/24). Which is the second biggest value? (a) 0.1 (b) -0.11 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, 1, -4, -10, 5 in increasing order.\nAnswer: -10, -4, 1\/10, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 - 39. Let c = l + -7. Solve 5*d + 0*d = c for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - -1*(-36)\/8)*-6. Is ((-17)\/(-2))\/(p\/198) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 3:46 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.9 - -7.7. What is the fourth smallest value in 4\/5, -0.3, -0.4, o?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1220 - 495 = -343*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 151 - 121. What are the prime factors of ((-544)\/(-12))\/(4\/g)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3988622 and -978?\nAnswer: 3987644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 4. Let i = 0.031 + -0.431. Let o = 4.17 + -0.17. Put y, 0, o, i in ascending order.\nAnswer: i, 0, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, 13, 0.3, -15, 1, -27 in increasing order.\nAnswer: -27, -15, -0.02, 0.3, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/126 and 43\/154.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 0.645 (b) -5 (c) -2\/177\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 1 + (47 - 46) + 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 215759 + 198\nAnswer: 215957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 141.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2990505 is divided by 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, r: 2, w: 1, n: 2, c: 2, g: 2}. What is prob of sequence wwcj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 8:05 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*t = 48*t + 6515. Let h = -757 + t. What are the prime factors of h?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - 7. Let d = q - -8. Let c(n) = n**3 - 3*n**2 + 1. Let g be c(3). What is the second biggest value in d, -0.3, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*r + 27*r + 169484 - 30972. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304617474 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18920250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(0 - (-10)\/(-240)). Solve z = 5*h - 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 6 = y, 5*u + 6 = 5*y + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.1225, -3\/2, 3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -33014, -33015, -33018, -33023, -33030, -33039, -33050?\n\"Answer: -v**2 + 2*v - 33015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 3. Let v(k) = -k + 7. Let o be v(h). Suppose 0*p + 4*p - 4 = o. What is the highest common divisor of p and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -33*q**2 + 17*q + 76. Let u(i) = -11*i**2 + 6*i + 25. Let k(w) = -6*r(w) + 17*u(w). Differentiate k(m) with respect to m.\nAnswer: 22*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36.507 + 36.7. Let y = c - -0.007. Let u be (1\/(-6))\/((-1)\/4). What is the second smallest value in y, 0, u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88 - (-103)\/((-227115)\/(-193844)).\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (6 + -8 + 5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -40, -83971 in descending order.\nAnswer: -1, -4, -40, -83971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 26*t**2 - 6*t**2 - 4*t - 722 + 688 - t**3. Let a be m(20). Let p = 115 + a. Put -5, p, -3 in decreasing order.\nAnswer: p, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 n when four letters picked without replacement from {n: 3, i: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, z: 12}. What is prob of picking 2 z?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 316 = -3*p, 0*y - 2*y = 2*p - 224. Suppose -5*u - 37 = -p. What is the remainder when 54 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -aa (base 12) in base 5?\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + 0.2. Let t = i + -0.4. Let r = -2.32 + 5.32. Which is the closest to t? (a) -2 (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of r + 275. Let l(q) = -295*q**3 + 284*q**2 + 5. Let u(j) = l(j) - 5*p(j). Find the third derivative of u(d) wrt d.\nAnswer: -1770","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*h + 34*h + 115*h + 130*h.\nAnswer: 207*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.3 - 2468?\nAnswer: -2487.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 10248, 3, 13, -4 in decreasing order.\nAnswer: 10248, 13, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 835554212 to the nearest integer?\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/((-780)\/(-750)) - 22 - 1\/((-12)\/(-340))?\nAnswer: -76\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirteen quarters of a hour?\nAnswer: 11700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2330133 + -2002032?\nAnswer: 322101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -72 + 67.44. Let y = 4.8 + p. Round y to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.6704 rounded to 1 decimal place?\nAnswer: 21.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (3 + (2 - 4 - 1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 289 divided by -491\nAnswer: -289\/491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 23756.\nAnswer: 3\/23756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-39) + 240\/39. Let w = 26\/5 - i. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 162476 - 91059. Suppose 0 = 16*t + t - z. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -25725.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -29. Suppose -4*b = 4*m - 380, -472 - 13 = -5*m + y*b. Suppose j - 3*z - 158 = 0, 2*j - 2*z - 200 - m = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1822 is divided by 41.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 77, -7 in decreasing order.\nAnswer: 77, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19375 - 19315. Calculate the remainder when 781 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10126\/(-4233))\/((-20)\/6) + (-4)\/34. Let o = 0.09 - -0.91. Put r, 0.3, -4, o in decreasing order.\nAnswer: o, r, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288645 is divided by 18040.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 5*m + 0)*(18 - 38 + 18).\nAnswer: 10*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -3, -2, 10\/3, 1\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10244*f**3 - 20514*f**3 + 10294*f**3.\nAnswer: 24*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*z + 17*z - 11*z**4 + (-3*z**3 + z**3 + 3*z**3)*(-2*z - 3*z + z) + 3*z**2 - 2*z**4 - 3*z**2.\nAnswer: -17*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.246 - 21.2282?\nAnswer: -20.9822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 38 + 3762?\nAnswer: 379a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 597 = 16*a - 7355. What are the prime factors of a?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 30*y**2 - 2*y + 66. Let q be w(30). Put q, -10, 0, 1 in decreasing order.\nAnswer: q, 1, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3100185, -6200324, -9300467, -12400614?\n\"Answer: -2*r**2 - 3100133*r - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-5)\/3)\/(((-11235)\/(-504))\/(-107))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 38 and 3301\/90 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b2db - 94?\nAnswer: -b36f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(156)*3)\/(sqrt(4) + 4*(sqrt(4) - sqrt(36))))\/(sqrt(33)\/(sqrt(22)\/sqrt(2)) + sqrt(30)\/(sqrt(10)*1)).\nAnswer: 3*sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -93 - 2*t**2 - 20*t - 13*t + 37*t in the form o*t + i*t**2 + q and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 3*y - 4*j + 1, 5*y + 9 = -4*j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - 3*z - 7*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**3 + 89*b**2 - 215*b + 7491. Determine g(44).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4711831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*y + 56 = -34*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6455\/3 + -51631\/24. What is the fifth smallest value in -1, 18, i, -0.5, 4\/3?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 33*d**2 - 549*d - 8. Is w(17) a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 882120968?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -12*j + 3. Suppose -6*y - 3 = -153. Suppose -y*t - 6 = -19*t. What is the smallest common multiple of p(t) and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 2*l - 76, -3*j = -l - 18 - 38. Let t = j - 5. Let a(s) = 13 + 6*s**2 - t. Let o(r) = -r. Determine o(a(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -3*f + 3417, 0 = -96*l + 92*l - 5*f + 3423. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55510400 divided by 8300\nAnswer: 6688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -192 times 1.1106\nAnswer: -213.2352","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 259*v**2 + 6846*v + 1 - 13690*v + 0 + 6844*v to y + d*v + s*v**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 11293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 7*q - 26. Give m(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2016 = -279*x - 282*x + 569*x. Calculate the greatest common factor of x and 2716.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16412685 divided by -48415\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3009982462 to the nearest integer?\nAnswer: 1444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 6:22 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -90 - -89.999947. What is q rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*q = -5634, -3*k + 6503 + 1956 = 5*q. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - ((4 - -16) + -4) - 16.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.855 times -9.9\nAnswer: -8.4645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -6, -2 in increasing order.\nAnswer: -9, -6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 6 = -3*l, 3*l - 7*l + 3*m - 1 = 0. Let i be l\/(-3)*-6 - -1. Suppose 5*z = -c + 2*z + 15, i*c = -5*z + 35. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 6. Let j = 485 - p. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: a (base 11) to base 16\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 483262074?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-31*w**3 - 18 + 18)*(4*w + 4*w + 0*w) to the form r*w + y*w**2 + j + x*w**3 + a*w**4 and give a.\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 132, 513, 1140, 2013?\n\"Answer: 123*v**2 + 12*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -74, 7 in increasing order.\nAnswer: -74, -5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 77*z**3 - 74*z**3.\nAnswer: -151*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2450) - ((-1 + sqrt(2450) - sqrt(2450)) + 1 - sqrt(2450))) + -4)*-2)**2*-1.\nAnswer: -39264 + 2240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.6 + 1.4. Sort -3, n, 8 in increasing order.\nAnswer: -3, n, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001392104 rounded to six dps?\nAnswer: 0.000139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -84, -104, -126?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/944 and -7\/472.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 536, 1054, 1554, 2036?\nAnswer: 2500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25034600 rounded to the nearest one million?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 42\/11 and (7 + 9)*3*2\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x**2. Let b(j) be the third derivative of -73*j**5\/60 - 3*j**2 + 25*j. Give h(b(u)).\nAnswer: 21316*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2500*m**4 + m**2 + 12 + 22*m - 2501*m**4 to q*m**2 + p*m**4 + f*m + o + g*m**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67532?\nAnswer: 2, 16883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - 47\/(-16))\/((-1)\/826). Let j = y - 16557\/328. Find the common denominator of j and -21\/11.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-6)\/9)\/(0 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1681 - 3\nAnswer: 1678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48.08 + 46.08. Let n = -0.21 - 6.99. What is the smallest value in n, -4\/3, q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/6 - 16387*i**3\/3.\nAnswer: i**3*(i - 32774)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + m**2 + 3*m**2)*(0 - m**3 + 0) + m**5 + 2*m**5 + 0*m**5 + (0 + 0 - 1)*(-m + m + 2*m**5) + 0*m**5 - 2*m**5 + 0*m**5.\nAnswer: -3*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 1)*(-25 + 25 - 24*t**4) + (1 - 1 - t)*(-6*t**3 - 10*t**3 - 7*t**3) to the form a*t**2 + d*t + u*t**3 + w + r*t**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -451363, -902725, -1354087, -1805449?\nAnswer: -2256811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53 - -74. Let h be 2\/6 - 220\/(-15). Suppose -h = 4*m - 43. Calculate the highest common divisor of o and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -1. Let x = -18884 + 56654\/3. Which is the second smallest value? (a) x (b) 5 (c) q (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 4*z**2 - 6*z - 6. Suppose -6 - 2 = 2*p + 4*v, -4*p - 16 = 3*v. Determine q(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 128414073?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -5, -0.27.\nAnswer: -10, -5, -0.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 9:27 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -4751?\nAnswer: 14253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 - ((-63 - -82) + -18).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105080 is divided by 13070?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 5*y**2 + 7*y + 6. Suppose 2*l - 26 = 18. Calculate the remainder when l is divided by u(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/36 and -107\/822.\nAnswer: 4932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*k + 1044 - 1094 = -24*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*h**5*l**3 - 52*h**2*l**3 - 224*h*l**3 - 9*h wrt h?\nAnswer: -640*h**3*l**3 - 104*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 15 + 71 = 5*b, -5*b + 44 = -w. Suppose 4*n - 10 = -2. Let z be 35\/10 - n\/(-4). Solve m = 3*u - b, -2*u - u - z*m = 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p - 4*h + 15, -3*p = -4*h + 2*h - 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 25*k - 27*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r**3 - 482 - 139711*r + 139711*r.\nAnswer: 11*r**3 - 482","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4460.9986584 - 4461. Round x to 5 decimal places.\nAnswer: -0.00134","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 50*r - 253. Calculate z(6).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y**2 + 820*y + 13649. Determine p(-16).\nAnswer: 1553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.52 - -0.22. Which is the closest to -3? (a) 1 (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + sqrt(17) + (sqrt(187)\/(sqrt(11)*-1))**2 - ((-1 + sqrt(17))*-1 - (-2*sqrt(153) - sqrt(153))\/sqrt(9)).\nAnswer: -sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2040 - -2532. What is the remainder when x is divided by 50?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*c, -4*l + 6*c + 11 = 9*c. Suppose -3*q + 5 = 2*q. Let u(g) = 4*g - g - g + 0*g - q. Let x(h) = -3*h + 1. Give l*u(d) + 4*x(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14629*r - 3069 = -14350*r for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -775546*x - 2*x**2 - 18 + 18.\nAnswer: -2*x**2 - 775546*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 96146 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9925808 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1) + -1 + 1 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in -0.1, -42, 3\/37?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-6 + 3)) + -15 + -5?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -16*m - 187. Let i be j(-12). Suppose 5*o + 2*v = 24, v - 29 + 7 = -5*o. Solve -d = o*s - 0*d - 1, 2*d = -i*s + 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*o**2 - 3*o + 53*o**2 + 3*o to the form r*o + g*o**2 + y and give g.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k + 7. Let s(r) = r - 2*r - 2*r. Let a be s(2). What is the tens digit of v(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 4*y = 7*y - 13, n - 4 = -y for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 346935670?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -13*v + 16. Give b(5).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11472328013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12893253*j**2 + 2291222*j wrt j.\nAnswer: -25786506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 1 - (-12 - -24).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**2. Let h(y) = -y**2 + y - 1. Let b(g) = -6*g**2 + 4*g - 4. Let d be 136\/32 + 1\/(-4). Let q(p) = d*h(p) - b(p). What is j(q(s))?\nAnswer: 12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00123338835 to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 29327983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of s**4\/4 - 2*s**3\/3 - 3*s**2\/2 + 4*s - 1. Let m be d(3). Let p be (4 + -2)\/4*m. What is the highest common factor of p and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, j: 1, e: 1, h: 4, z: 1}. What is prob of picking 2 h?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f. Let u(i) be the first derivative of i**5\/120 + 5*i**3\/3 - 8. Let q(z) be the third derivative of u(z). Give q(o(n)).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (33 - (11 + (-10 - -36))) + (1 - -23) + 0\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*h = -149*h - 80 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -238\/11, -0.1, 189?\nAnswer: -238\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*z + 380 = 38*z. Put 3, z, -2, 575, 5 in descending order.\nAnswer: 575, 5, z, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 6*m - 3*m. Let y be 2\/(1\/(m - 1)). Solve -y*v - 3*v = -4*x + 40, 5*v + 15 = -x for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**12*a)\/(a*a*a*a\/(a\/a**19))*(((a*a\/a**9*a)\/a)\/a*a)**(-8) assuming a is positive.\nAnswer: a**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 10:22 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 192280 and 1311.\nAnswer: 576840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/149 + -145\/298. Let t = 489.2 + -489. Which is the nearest to -2? (a) -2 (b) -2\/3 (c) r (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/5 - 4\/(-3 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.21, 0.4, -4, 121 in decreasing order.\nAnswer: 121, 0.4, 0.21, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 66\/8*(6 + 52\/21 - 8)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54487088*a**2 - 54487088*a**2 - 4069*a**3 - 823*a wrt a?\nAnswer: -24414*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*f - 21*f + 34*f = 172*f + 2130 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3083 = -5*d - j + 1569 + 1627, 5*d = 8*j + 131 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -15. Let t = -3 + a. Does 23 divide 0 + (87 + t - -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3944365 divided by -788873.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35970 and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.41 and 37.94.\nAnswer: -53.4954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62369 - -435248\/7. Let k = m + 191. Sort k, -2, -0.2 in descending order.\nAnswer: k, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3057589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-39))\/(2\/(-3982)). Let i = r - -153. Let j(q) = q**2 + 5*q - 1. Let x be j(-5). Is i at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3204112 and 752?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 39 - (-9 + 0 + 13 + -5)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*(-3)\/342*-8\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66 or -59?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**3 + 3*q**3 + 3*q**3)*(-22*q**2 - 15*q**2 + 11*q**2 + (-15 + 59 + 16)*(0*q**2 + 0*q**2 - 2*q**2)).\nAnswer: -292*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 532529 divided by -5?\nAnswer: -532529\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 26*h - 360 = 0. What is the greatest common factor of 12 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-130) - (6534\/234 - 55)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*t = -6. Let v = 2 + 2. Suppose 0 = r + 2*u - 12, t*r - 3*u - 24 = v*r. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -616.092 * -0.3\nAnswer: 184.8276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2 - 56*y + 627. Determine j(11).\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 10*r**2 - 11*r - 19. What is a(8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 68*y - 8949. Calculate p(132).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 127687.28 days to weeks.\nAnswer: 18241.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7259\/2 - 3629. Sort 58, -0.1, -2\/7, t, -2\/5 in descending order.\nAnswer: 58, t, -0.1, -2\/7, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/28*(84\/(-54) - -2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 + 46 - (-62 + 19).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (18 - 9) + -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**5\/5 - 96*k**4\/5 + 1008*k**3\/5 - 1556*k**2\/5 - 2442*k + 12852\/5 = 0.\nAnswer: -3, 1, 7, 9, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 0*w**2 - 7*w + 1\/3*w**3 + 0. Give z(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*4 + (-66)\/22. Which is the closest to 0? (a) -3\/4 (b) z (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x + 1. Let a(z) = -z**2 + 7*z - 16. Let u(s) = a(s) + 4*n(s). Determine u(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4515385717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = h + 3 - 9, 0 = -2*h - 2*g + 12. Let a(y) = 8 + 0 + 19 + 0 + 1 - 2538*y. Let w be a(h). Round w to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0968659 to three decimal places.\nAnswer: 0.097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 64 + 34?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 11*d**2 - 37*d - 25. Let m(x) = 2*x**3 + 22*x**2 + 75*x + 50. Let a(k) = -6*m(k) - 15*q(k). Factor a(t).\nAnswer: 3*(t + 1)*(t + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68453 divided by -9779?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m*m*m*m**18)*m)\/m**(-6)*m*m\/m**(6\/11)*(m*m\/(m*m\/((m\/((m*m**(4\/11))\/m))\/m*m)))\/m)**(-3\/7) assuming m is positive.\nAnswer: m**(360\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260*b - 1 + 257*b + 1.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -4*a + 2*w, -3*a - 15 = 3*w - 0*w. Let o = a - -17. Calculate the lowest common multiple of 9 and o.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 540 and 3060?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 26.5982781*-0.5\nAnswer: -13.29913905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.64153 + 0.24443. Let k = w + 3.4. What is k rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 3*m - 39 = 0, 22*s - 25*s - 206*m + 233 = 0 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g**2 - 43*g**3 - 8*g**2.\nAnswer: -43*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -19, 0.3, -2471, -0.206?\nAnswer: -2471","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 6. Suppose 6*n + 6*n**3 - 2*n**3 + s*n**2 - 2*n**3 - 4*n = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 448*o - 446*o - 352 = 0, 12 = 2*o. Suppose -3*i + 4 + 47 = 0. Calculate the highest common factor of i and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 882 - 886. Put 5, 3, 222, o in increasing order.\nAnswer: o, 3, 5, 222","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/4*(462\/(-4))\/(-7). Is -33 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 0.237302?\nAnswer: 0.0949208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*x + 55*x = -4176. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 1195*n**2 - 23340*n + 98100.\nAnswer: -5*(n - 218)*(n - 15)*(n - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9351 - -0.7?\nAnswer: -0.2351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21000303 (base 4) to base 11.\nAnswer: 2580a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3457460970.\nAnswer: 2, 3, 5, 19, 23, 29303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*2 + 38\/1. Let t(x) = -x**3 + 12*x**2 - 9*x - 24. Let r be t(11). Let h be ((-20)\/(-8))\/(r\/(-16)). Calculate the greatest common factor of h and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 226, 244, 256, 256, 238, 196?\n\"Answer: -s**3 + 3*s**2 + 16*s + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5715583327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-3))\/((-1)\/6). What is the remainder when 79 is divided by (3\/g)\/((-6)\/(-108))?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80480 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**2 + 13 - 7 + d**2 + 5*d. Let b be r(5). Suppose 11 = -3*y - 5*s, 10*y = 5*y - 2*s + 7. Solve 0 = y*z - b*z + 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + j**3)*(-160*j + 355*j + 164*j + (5 + 0 - 3)*(0 + 0 - 2*j)) to r + y*j + w*j**2 + h*j**3 + o*j**4 and give o.\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) 1.6 (c) 82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.056 and -65?\nAnswer: 3.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 1020622?\nAnswer: 1020624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 11:58 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 610 (base 7) to base 9.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -303746 > -304030?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 4. Suppose p + 12 = -3*l. Let h = l - -2. Is -2 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00043147617 rounded to 7 dps?\nAnswer: -0.0004315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 16a?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/(-2) + ((-5075)\/(-2))\/145.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145517 + -0.06.\nAnswer: -145517.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 212147*k**3 + 122504*k**2 wrt k?\nAnswer: 1272882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 + -0.5. Let t = -502 - -219. Let n = t - -283.3. Which is the nearest to -5? (a) -1\/2 (b) y (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 60\/(-14) - (-2)\/7. Let x be 15*(-2)\/(-2 + 8). Let a = -7 - x. Which is bigger: f or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 847 = 2*m. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.32 from 7996.35.\nAnswer: 7996.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111748 - 42680 = -3028*k for k.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 divided by -2?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(30)\/sqrt(10))*1)**2.\nAnswer: -4*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + 0. Let s = r + -0.8. Let c be ((-1)\/(-8))\/(247\/741). What is the closest to s in 11, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3510960631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*q + 2 = 2*i, -4*i = -4*q - 4. Suppose i = 4*z - 2 + 6. Let l(b) = -b**3 - 4*b**2 - 2*b - 3. Let j be l(0). Sort z, 2, j.\nAnswer: j, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1)**(-43)*z**(-6)\/(z**4\/z*z*z*z)*((z**(1\/5)*z)\/z**7)**(-2\/99) assuming z is positive.\nAnswer: z**(-27167\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.12 - -0.12. Let j = 0.75 + -0.05. Let m = 1 - j. Which is the third biggest value? (a) g (b) 1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 183, 174, 163, 150, 135, 118, 99?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 2. Suppose 20 = f - d*f. Let a(o) = -2*o**2 - 90*o + 398. Let h be a(-49). Solve 0 = -2*g + h*g + f for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.1*103.9\nAnswer: 425.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.46*-11\nAnswer: 5.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - i = -180 + 31, g - i = -53. Calculate the remainder when 82 is divided by ((-45)\/(-6))\/((-20)\/g).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmgv when four letters picked without replacement from vmmmggvvmmmm?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 3*n + 1281 = 0. Let z = 374 - n. Is 24 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47271 divided by -15757?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000129003 rounded to 6 decimal places?\nAnswer: 0.000129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 5 - 90*i - 45*i - 75*i - 5 as c + g*i and give g.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*p - 36 = 0. Suppose 22*n = p*n. Let o = -99 - -1084\/11. Which is greater: n or o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/21*35\/(-10). Which is smaller: -180 or c?\nAnswer: -180","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -9*h**2 + 41*h + 21. Calculate y(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1041 or -576?\nAnswer: -576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69704119 is divided by 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 131571*-7.65\nAnswer: -1006518.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-22)\/(-8) - 24\/32. Let t(f) = -5. Let i(u) = -u. Calculate w*i(p) + t(p).\nAnswer: -2*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 6*j - 398, -2*d - 8*j + 5396 = 4864 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l - 5. Let f(c) = 4*c - 9. Suppose -19*b - 47 = 4*s, -s + 8 = -b + 14. Give s*w(p) + 3*f(p).\nAnswer: -2*p + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - m + 1 + (-11 + 3 - 3 - 2 - 1 + 1 + 2 - 4 + 3 + (-5 + 4 + 0)*(0 - 1 + 2) + 3 + 1 - 3)*(-432*m + 846*m - 431*m))*(3*m**2 - m + m).\nAnswer: 609*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 8*b + 20*b - 9*b + 13. Let r be o(-4). Let c be (-7)\/r + (-1007)\/(-9). What is the greatest common divisor of c and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 7*o + 5. Suppose 3*p + 4 = 16. Suppose -5*j + 6 = -p*j. What is d(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 425 + -419. Let v(s) = s**2 - s - 4. Let l be v(3). Determine r, given that -y*r**l + 0*r**2 - 9*r + 2*r**3 + 6*r + 7*r = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 6*z = 12. Let d(m) = -m**3 - 12*m**2 - 9*m + 22. Let a be d(-11). Factor 0*h**3 + a*h**4 - 4*h**3 + 2*h**2 + 2*h**z.\nAnswer: 2*h**2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xiiaad. What is prob of sequence iax?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.724075 days?\nAnswer: 62560.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1301250585.99999948 + -1301250552. Let b = 34 - u. What is b rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(57) - -2*(sqrt(171)\/sqrt(3) - sqrt(57)))*-2)\/((sqrt(12)\/sqrt(4) + sqrt(3))*-3*5))**2.\nAnswer: -19\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172074668 is divided by 756.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4 (b) 3\/5 (c) -0.5 (d) 829 (e) -0.151\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(2\/7)*h)**(2\/37)\/((h*h**(-1)*h*h)\/h*h**(1\/8)) assuming h is positive.\nAnswer: h**(-2075\/2072)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/15)\/((-1)\/5). Suppose -f*l + m = -0*l - 12, -l - 3*m = -4. What is the second derivative of 5*k**4 - 4*k**4 + k**l - 7*k wrt k?\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*v - 20. Solve 5*u - a + 3*a = -15, 3*u + v = -4*a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -449 or -450?\nAnswer: -450","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -86037\/10 + 8604. Suppose 3\/10*u**2 + 2\/5*u**5 - 1\/2*u**3 + 0 + 1\/10*u - i*u**4 = 0. What is u?\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence abbw when four letters picked without replacement from ooaccowbcobbbbbc.\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - l**2 - 4*l + 4. Let i(q) = q**2 + 3*q - 3. Suppose 13*b + 3*v = 14*b + 15, 4*b + 10*v = 28. Give b*n(a) - 4*i(a).\nAnswer: -3*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -16*q + 3. Let i be c(-2). Suppose -3*p = 5 - i. Suppose p*n = 11*n - 4. Solve 2*a + 0*a = -n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7983\/4 - -2007. Let m = -31\/4 + o. Let u = 27.6 - 28. Which is the third biggest value? (a) m (b) u (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 39\/9 + 6\/9 - 0. Let l be (n + 1 - 12)*22\/(-4). Let x = l + -18. Which is smaller: 17 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ofo when three letters picked without replacement from wffwofuuwuuuwooww?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8786 a factor of 2358068927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -206.777637 + 13090\nAnswer: 12883.222363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*l - x - 1, 4*l = x - 1. Is 250 - -1*l\/(-3)*-9 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 112585*k**2. Let o(p) = -2*p**2. What is t(o(h))?\nAnswer: 450340*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 52505.2206ms?\nAnswer: 0.0000868141875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -563.37 + 2.37. Let t = -560.956 - l. Which is the third biggest value? (a) -5 (b) -1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14034969 is divided by 77115.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -3*a - 159, f = -a - 19 - 42. Let x = -47 - a. Calculate the least common multiple of 22 and x.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 15*u + 36. Let m be t(-17). Let n(v) = v - 17. Let l be n(16). Sort 1, l, m.\nAnswer: l, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 10*p - 2. Let h = 58 - 57. Let f be i(h). Solve -3*o = -2*q + 14, -3*o = 6*q - 2*q + f for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g + 13*g + 19*g - 9*g + 17.\nAnswer: 34*g + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 5 + (-4 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10605 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4\/17 + 54*n**3\/17 + 56*n**2\/17.\nAnswer: -2*n**2*(n - 28)*(n + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 2305934.\nAnswer: 5\/1152967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -6 + (1 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 651840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 (base 12) in base 2?\nAnswer: -10110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -732.64 + 732.6. Which is the closest to -7? (a) -4\/9 (b) f (c) 0.3 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -5*g + 3*g. Let j be g\/18 + (-52)\/(-6). What are the prime factors of 1*(-2)\/(j\/(-116))?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - z + 1. Let k(u) = 6*u + 252 - 5*u**3 - u - 8*u**2 - 257. Let v(l) = 5*i(l) + k(l). What is the third derivative of v(d) wrt d?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26811\/7 + 134181\/35. Find t such that w*t + t**2 - 8\/5 = 0.\nAnswer: -4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -590.55 rounded to the nearest ten?\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 148*a*n**3 + 9*a*n - 2982*a - 55*n**3 - 211*n**2 + 3847 wrt a?\nAnswer: 148*n**3 + 9*n - 2982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 7 - 2)*(4 + u - 4) + 0*u + 5*u + 5*u)*(-8*u - 5*u**2 + 8*u) as c + j*u**2 + s*u + g*u**3 and give g.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 353 and 2897424.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 752, 764, 790, 836, 908, 1012?\n\"Answer: w**3 + w**2 + 2*w + 748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -9*y - 3. Suppose -66*c - 501 + 39 = 0. Calculate v(c).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -85, -12, 6, -30 in increasing order.\nAnswer: -85, -30, -12, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1730 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*r)*(1 + 1 - 4)*(-2119 + 815 - 216).\nAnswer: 6080*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, r: 4, t: 5}. Give prob of picking 2 r and 2 g.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001774 to 5 decimal places.\nAnswer: 0.00177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 5 - 2*b + 3*b)*(-1165*b**2 - 254054*b + 254054*b) in the form m*b**3 + q*b**2 + j + v*b and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 4*q**2 - 2*q + 6. Let l(x) = 4*x**2 + 12*x + 16. Let z be l(-4). Suppose -152 + z = -24*j. Give k(j).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64217.\nAnswer: 64217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of 11*x**8\/20160 + 23*x**5\/30 + 102*x**2. Let o(z) be the third derivative of n(z). Let p(m) = 8*m. Determine o(p(l)).\nAnswer: 704*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r + 41. What is the remainder when 34 is divided by s(26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 + 121*y - 56. Let n be p(59). Solve -135*r + 28 = -n*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 18*j**2 + 19*j + 2. Let n be d(19). Solve 0 = n*v + 3 + 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + sqrt(187)\/(5*sqrt(275))).\nAnswer: 6*sqrt(17)\/25 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076 smaller than -43566?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ydi when three letters picked without replacement from yiddddyiyd.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f - 17. Give i(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 445*d**3\/3 + 2785*d**2\/2 - 3363*d. Differentiate f(q) with respect to q.\nAnswer: 890","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125, -189, -255, -323, -393, -465?\nAnswer: -539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ilin when four letters picked without replacement from icccncil?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 78720, 78718, 78716, 78714, 78712?\n\"Answer: -2*r + 78722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00055653 to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.13, 4, -1\/2, 5, -3\/5, -3, -8\/1815?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-231)\/(-198)*((-72)\/21)\/3)\/((-36)\/(-54))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -142*f**4 + 38*f**3*n + 40516*n wrt f.\nAnswer: -568*f**3 + 114*f**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + n + 30 = -78, 0 = q + 4*n - 23. Is 35 at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (((-110)\/(-42))\/(-11))\/(4\/(-36)) and -23\/114.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 138 and 2829.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*2*(-4 + 3*sqrt(153) + -2 + 1)**2.\nAnswer: -900*sqrt(17) + 14020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 180 - 3062\/17. Let v = -20.6 - -11.6. What is the closest to 0.05 in -4, v, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 s, and 2 y when four letters picked without replacement from yussyuyu?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g + 23 = -1127. Calculate the highest common divisor of 16123 and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2521.3 - -2521. Sort 1, 1.81, h in ascending order.\nAnswer: h, 1, 1.81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 - -27. Let s = 1 - h. Solve 0 = -4*n - 0*n + s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (213\/42 + -5)*-18.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 - -65. Suppose -4 - w = -2*c. Calculate the least common multiple of c and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(108) + -1 + sqrt(108) - sqrt(108))*1 + sqrt(108)).\nAnswer: -1 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -443\/3 - -739\/6. Let i be ((-60)\/(-40))\/(2\/96). Suppose 2*h + i = 22. Is h less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 53256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**4 - 73365*l**3 + 3226124*l**2 = 0?\nAnswer: 0, 44, 73321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mt when two letters picked without replacement from {a: 1, m: 1, t: 1, k: 1, i: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -27, -43, -59, -75, -91?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -198626 or -2780777\/14?\nAnswer: -2780777\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -38, 3, -5 in descending order.\nAnswer: 3, 2, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -10*r + 10. Let y(m) = -62*m**2 - 16*m + 12. Let w be y(0). Let o(n) = -n + 1. Calculate w*o(q) - v(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y. Let n(m) = 71*m**3 + 3*m**2 - 4*m - 1. Give n(k) - 5*x(k).\nAnswer: 71*k**3 + 3*k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/532 and -48\/3059?\nAnswer: 12236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*h + 71709 = -18*h. List the prime factors of h.\nAnswer: 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1000 + 1000. Which is the nearest to -0.1? (a) m (b) -5 (c) 0.1 (d) 111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 67*z**2 - 25*z + 98. Let b be g(6). Round b to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i + 0*i - 10*i - 18*i in the form u*i + k and give u.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y + 5 = -12*y. Suppose 0 = 13*z - 16*z. Which is the third biggest value? (a) z (b) -0.3 (c) -2\/3 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110190?\nAnswer: 2, 3, 5, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 680\/97 - 12351\/3104. Find the common denominator of -1\/10 and a.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-30))\/(3\/15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 205 = 2*s + 25. Suppose -4*i - 5*h = 13, 2*h + 26 = 4*i + 4. Suppose -i*g + 630 = s. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**4 - 965*s**3 + 29938*s**2 - 199880*s = 0. Calculate s.\nAnswer: -1052\/3, 0, 10, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 1. Let l(n) = 51*n - 5. Let b(p) = 4*f(p) + l(p). Let m(i) = -2*i. Let w be m(-3). Is b(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 7.8. Let q = 0.2 + y. Let p = -2 + 1. What is the second smallest value in q, -0.2, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.6, 2\/23, 318?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 7*c - 103. Determine i(18).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22879, -22875, -22871, -22867, -22863?\nAnswer: -22859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = t - 5*u - 28, 0 = -t - 3*u - 13 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -19734\/108205?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xa when two letters picked without replacement from xxxxxxaxxxaaxxxxax.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -33 - 2*r + 16 + 17. Let q(f) = 132*f**2 + 77*f - 77. Let s(w) = 7*w**2 + 4*w - 4. Let l(i) = -4*q(i) + 77*s(i). Calculate c(l(j)).\nAnswer: -22*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - 9)\/((-12)\/2)*(1122\/(-77) + 10)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*f - 15 = 31*f. Suppose 3*j + 5 - 3 = l, 0 = 3*j + f*l - 10. Suppose -1195 = -2*v - g, 3*v - 1820 = -j*v + 4*g. Round v to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + -7. Let k = t - -19.83. Let j = k - -0.17. What is the second smallest value in 3, j, -0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34919663.\nAnswer: 19, 67, 27431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*w - 3 = 23*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*z + 67*z - 36*z = -296310. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -0.101104\nAnswer: 17.898896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (638\/(-116))\/((-1584)\/128)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41 or 2367\/58?\nAnswer: 2367\/58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2*(21\/6)\/7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30, -27, -18, 3, 42, 105, 198, 327?\n\"Answer: g**3 - 3*g**2 + 5*g - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 l, and 1 i when three letters picked without replacement from azzzlei?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 1005815*h + 12069779. Calculate x(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of k**5\/60 - k**4\/8 - k**3\/3 - 4*k**2. What is r(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**7\/360 - g**6\/180 + 13*g**5\/60 + 13*g**2. Let a(i) be the third derivative of q(i). What is the derivative of a(d) wrt d?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -80 + 143. Suppose 2*r + b + 5 = 0, 4*r + b + 25 = -4*b. Suppose r = -5*o + 3*o + 18. Calculate the greatest common divisor of c and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4\/9)\/v)\/((v\/(v**(-12)\/v))\/v*v)*v**(3\/8)\/v**(1\/7) assuming v is positive.\nAnswer: v**(-7667\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 307*s**5\/30 - s**3\/6 + 28*s**2. Is p(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9592960.\nAnswer: 2, 5, 13, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.063 - -0.063026. Round w to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -8 + 1 - (-377)\/52. What is the third biggest value in -0.3, -4, -4\/7, b?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 93.87392 kilometers?\nAnswer: 93873920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {q: 4, b: 5, j: 5}?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1142*u**3 - 3601*u**3 - 4814*u**3 + (2 - u - 5 + 4)*(-2*u**2 + 4*u**2 - u**2).\nAnswer: -7274*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**2 - b**2 - 3*b**2)*(-1 + 1 - 3 + (0 + 0 + 2)*(-1 + 0 + 0) - 2 + 5 - 4 - 1 + 3 + 2).\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5656145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 164*z - 549*z + 244*z.\nAnswer: -141*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -17 - (5 - (-2 - -4)). Let v = x - -41\/2. Let q = -9.48 + 11.48. What is the second biggest value in 0.1, q, v, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 7 + q + q - q. Let r be w(-9). What is the units digit of (r\/(-3))\/((-10)\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 1:48 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 212816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.239 from 61.\nAnswer: 62.239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.02335 and 5.\nAnswer: 4.97665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -131.39 to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -141f39 + 57?\nAnswer: -141ee2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/110 or -5\/14?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 27. Suppose -4*m + 96 = 4*c, -140 = -5*c + l*m + 2*m. Let r(x) = x**2 + 7*x + 2. Calculate the remainder when c is divided by r(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 2*p**2 - 3*p + 4. Calculate t(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13 and 29756316.\nAnswer: 29756303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -82 - -160. Let w = q + -36. Is 288\/7 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127702 is divided by 100.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 27 - 56*a.\nAnswer: -56*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53 + 48. What is the units digit of 26\/(c*8\/(-20))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/7 + 2\/7. Let j(u) = -1 - z + 34*u**2 + 1. Is j(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138 = 48*i - 1235 - 2227 for i.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*(sqrt(104) - (sqrt(104) + (sqrt(104) + sqrt(104)*1 - sqrt(104))) - sqrt(104)) + sqrt(104))\/(sqrt(24)\/(sqrt(12)\/sqrt(4))).\nAnswer: 1 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 133330 (base 6) in base 7?\nAnswer: 51156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -74515 - 0.2.\nAnswer: -74515.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.265751 * 3.\nAnswer: -6.797253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 420478.\nAnswer: 2, 17, 83, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.51 and 655?\nAnswer: 655.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 + 285?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1469788538 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1030 = -u + 1022 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 0)*((l**3 - 3*l**3 - 3*l**3)*(-2*l + 3*l + 0*l) + l**4 + 3*l**4 - 2*l**4) in the form g*l + i + d*l**3 + n*l**4 + j*l**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 867.8566t in nanograms?\nAnswer: 867856600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -121?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - sqrt(66)*3)*-1)\/(-1*sqrt(294)).\nAnswer: -2*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v - 4*t = 10*v - 4, -v - 5 = -5*t. What is the hundreds digit of 4 + v - (-7 + -1*180)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of a**6\/24 + a**5\/12 - 5*a**4\/6 - 10*a**3\/3 - 25*a**2 + 3. Let o(k) be the second derivative of l(k). Factor o(h).\nAnswer: 5*(h - 2)*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n**2 - 1. Let h(o) be the first derivative of -15*o**2\/2 - 73*o - 93. Let z be h(-5). What is q(z)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/3)\/(((-2)\/(-4))\/(-1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 144 - 41. Does 29 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*q**3 + 435*q**2 + 90*q - 385.\nAnswer: -5*(q - 11)*(q + 1)*(8*q - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1103963.3, 1.2, -0.3 in decreasing order.\nAnswer: 5, 1.2, -0.3, -1103963.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 7 - 4 - 5. Let w(u) be the first derivative of -u**3\/3 - 11*u - 53. Give 11*r(f) - 2*w(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9 (b) -1\/4 (c) -3 (d) 86\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**22*s)**(-3\/29))**(-45) assuming s is positive.\nAnswer: s**(3240\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2))**(-6)*(i\/(i*i**2*i))**(1\/13) assuming i is positive.\nAnswer: i**(153\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -2\/715927, -2\/11, -4\/5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, v: 4}. Give prob of picking 4 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2906213715?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-28)\/6)\/((-6)\/(-792)). Let p = -52977\/86 - v. Which is smaller: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76475564197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2100115 divided by -2100115\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 2*w + 2. Suppose 0 = -3*t + 6. Suppose 0 = i + 3*i - 2*x + 26, -t*x = -2*i - 14. Let f(r) = -r. Let b(u) = -7*u. Calculate i*f(v) + w*b(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-two fifteenths of a week in minutes?\nAnswer: 14784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 17. Suppose 3*x - 22 + u = 0. Suppose -4*n - 469 = -5*i - 85, 4*i = -x*n + 340. Calculate the highest common factor of i and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 10) in base 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t + 5*t + 4*t**2 - 8*t + 3*t**2 in the form q*t**2 + a*t + h and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 7685183917?\nAnswer: 7685183912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 870 + -861.3. Sort -5, u, -1 in descending order.\nAnswer: u, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + a + a)*(-5 + 1 + 2)*(-1 + 1 + 7*a**3) + (a + 2*a - a)*(0*a**2 + 3*a**2 - 5*a**2)*(1 - 1 + 6*a).\nAnswer: -52*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 152 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 380477?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 11*v**2 - v + 13. Let o be q(11). Solve -o*g + 7 = -1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.2 - -2.2. What is the nearest to d in 0.5, 1\/9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-38)\/14 - (-4)\/(-14). Let v(d) = 3*d**2 + 2*d + 3. Let g(q) = q**3 - 4*q**2 - 3*q + 8 + 10 - 27 + 5. Calculate b*g(i) - 4*v(i).\nAnswer: -3*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 863 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: Is 130 a factor of 21041323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 45.35 (b) 0.1 (c) 2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - -2) + -10 + 402. Let r = 127 + x. What are the prime factors of r?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 = -6*w + 121 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128405 = -0*c + 3*c - t, 0 = -3*c + 4*t - 128420. What is c rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-100) + 9)\/(5\/((-125)\/(-10))).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8896.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-9)*45\/(-2). What is the highest common divisor of g and 270?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 20 = 3*p, -2*p + 3*u + 10 + 10 = 0. Suppose 0 = -4*h + 3*h - p. Let b(i) = i**2 + 2*i - 1. Let t be b(-3). Put t, 5, h in increasing order.\nAnswer: h, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -1\/20*r**5 + 5\/6*r**3 + r - 7\/2*r**2 + 1\/2*r**4 + 0. What is the tens digit of l(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13595794 divided by 206?\nAnswer: -65999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 837890800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.3, 33, -3 in decreasing order.\nAnswer: 33, -0.1, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(1 + 0) + 0. Let x be 25\/m*1*2. Suppose -4*g = g - x. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3002 - 0?\nAnswer: -3002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 9:09 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**3 + 838*f**2 + 15668*f + 27968 = 0.\nAnswer: -16, -2, 437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 take away 119824610.8?\nAnswer: -119824624.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 428119.\nAnswer: 211, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1265 is divided by 52?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**3 + 53*g**4 - 55*g**4 + 174*g**2 - 6 - 173*g**2 to o*g**3 + m*g + v + b*g**2 + f*g**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -332*f + 38182. Let s be q(115). Factor 6 + 1\/4*h**s + 25\/4*h.\nAnswer: (h + 1)*(h + 24)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92352 divided by -52.\nAnswer: -1776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 13, p: 3}. What is prob of picking 1 p and 1 d?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/5 - 5*o + 116\/5.\nAnswer: -(o - 4)*(o + 29)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 d when three letters picked without replacement from dwwwwwwwwwwd.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-184)\/(-92))\/(11\/((-605)\/(-2)))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w**2 - 48*w - 25. Let d be r(13). Solve d = -14*a - 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-7)*a**(-2\/13)*((a*a**(-4))\/a)\/a**3 assuming a is positive.\nAnswer: a**(-184\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -2\/3, 4.9, 20977 in ascending order.\nAnswer: -2\/3, -0.5, 4.9, 20977","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hddboodzhddmbdhhddhz. Give prob of picking 1 d, 1 z, and 1 m.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8625 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -316 in -23, 2\/7, 2\/5, -20.8, -3?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/6)\/(w**(10\/11)*w))**(-4) assuming w is positive.\nAnswer: w**(274\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1019, 1950, 2787, 3530?\nAnswer: 4179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -765*u + 4292 = -2911*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*m + 22*m - 16*m as i*m + u and give i.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z**3 - 4*z**2 - 2*z. Let q(k) = -13*k**3 - 13*k**2 - 7*k. Let v(j) = 7*o(j) - 2*q(j). Solve v(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 60 = 17*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2409355.\nAnswer: 5, 13, 101, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 398, 375, 328, 251, 138?\n\"Answer: -w**3 - 6*w**2 + 2*w + 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11033 (base 6) in base 9?\nAnswer: 2083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 2:56 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*n + 3 = 4*b + 49*n, 0 = 2*b + 5*n - 19 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 72066029 + 162531?\nAnswer: 72228560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -24. Find the third derivative of -3*g**2 - 9*g**6 - 4*g**k + 4*g**2 + 4*g**2 wrt g.\nAnswer: -1560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21939 (base 13) in base 9?\nAnswer: -102463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-30))\/((-984)\/205)*1*-6.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 3 - 3)*(3*d**4 - 3*d**2 + 3*d**2) - 3*d**5 + d**5 + d**5.\nAnswer: -4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccc. Give prob of sequence cc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 0, -2 in increasing order.\nAnswer: -24, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 606\/3 - (-1 - 2). Suppose -6*t + h = -t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 447*j**2 - 2 - 475*j**2 as n*j**2 + d*j + c and give n.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*((-1)\/3)\/((-17)\/(-3)). Let w = -1 - 0. Which is the closest to w? (a) -0.5 (b) f (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 558*s**2. Let h(w) = 32*w**2. Determine z(h(d)).\nAnswer: 571392*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.25849 and 4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u - 16. Let s be r(9). Solve -2*g - 2*p = -8, s*p + 10 = 5*g - 3*p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v**3 + 6*v**2 - 6. Let l(y) = 9*y**3 + 13*y**2 - 13. Let b be (-81)\/(-36)*16\/(-6). Calculate b*l(a) + 13*s(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72927.9999940257 - 72928. What is q rounded to seven dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5051.\nAnswer: 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 250 + 114 = 0. What is the remainder when 361 is divided by s?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1464 - 831. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*z**3 - 5*z + 5*z + (3*z + 5 - 5)*(5*z + 2*z - 4*z)*(0*z + 0*z - z) as v*z**3 + b + a*z**2 + j*z and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1304 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 212 = -197. Let h(n) be the first derivative of 2\/3*n**m + 2*n - 2*n**2 + 2. Factor h(g).\nAnswer: 2*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3\/4, 0.4, 5, -7 in decreasing order.\nAnswer: 5, 2, 0.4, -3\/4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -102721.18 - -100176. Let w = t - -2717. Let y = -170 + w. What is y rounded to one dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2\/7, -0.1, -19\/4, -3, 96?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1099 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9272384 and 464?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -c**5\/20 - 193*c**4\/12 + 389*c**3\/6 - 195*c**2\/2 + 131*c. Factor y(h).\nAnswer: -(h - 1)**2*(h + 195)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.75 - -1.75. Which is the closest to -2\/7? (a) -6 (b) 2 (c) y (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1438 (b) -3 (c) 4934\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*l - 644 - 775 - 2809 = 0 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 4:06 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o - 5. Suppose 2*r = 3*l - 7, 2*l = -2*l - 5*r + 40. Let f be h(l). Put 5, f, -3 in increasing order.\nAnswer: -3, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**4 + 20808*d**3 + 657589*d**2 + 2985156*d + 1090180 = 0. Calculate d.\nAnswer: -26, -5, -2\/5, 4193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (6 + 9 - 9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 8:29 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17816 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhvgvkhhvk. What is prob of picking 2 k?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d - 1. Let i be g(4). Let x = -3 - i. What are the prime factors of 2*x - (-6 + 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 0.0606.\nAnswer: -0.1394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -523.8, 442?\nAnswer: 442","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 942466.8l to millilitres.\nAnswer: 942466800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 498 - 495. Solve 0*r + p*o = r - 12, -3*r - 14 = o for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3142408.11743342 + -2\nAnswer: 3142406.11743342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**3 + 50*v**2 - 115*v + 70 = 0. What is v?\nAnswer: 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -494981\/192 + 2578. What is the common denominator of 151\/84 and k?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3032 by -2.\nAnswer: -1516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -2*y - 4*k, 5 = -2*y + 3*k. Is y smaller than 1\/101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218051965 rounded to the nearest one hundred thousand?\nAnswer: 218100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2 + 4*b - 12. Calculate the least common multiple of 128 and f(2).\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5110748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**3 - 3*o**3 + 9*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*g - 52*g + 149*g - 2409*g**2 - 45*g.\nAnswer: -2409*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -10. Suppose 4*w + h = 4*h - 15, -4*w + 2*h = b. Suppose 0*u + 4*u - 76 = w. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8716820 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/11 and -6\/14443?\nAnswer: 14443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + -21. Suppose 55 = g + m*g. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 2*y - 3*y)*(3368*y - 6585*y + 3402*y + 7*y**2).\nAnswer: -7*y**3 - 185*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*v**2 - 450564*v + 94*v**2 + 450564*v.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, q: 18}. Give prob of picking 3 q.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70008171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1734 + 1369.\nAnswer: 3103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89803 is divided by 14902?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 4*g + 26, 5*g + 2*a = -0*g - 32. Let i(b) = b**3 + 7*b**2 + 9*b + 4. Calculate i(g).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5297340606 + -5297340581.99999967. Let p = -25.8 - -1.8. Let z = y + p. Round z to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -147*i - 10597. Give k(-73).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r - 46*q = -50*q + 6, 0 = -3*r - 3*q + 21 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ehyx when four letters picked without replacement from {h: 2, c: 1, x: 2, y: 2, e: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31902562 - 61272562. What is s rounded to the nearest 1000000?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 56 = -86. Let c be 0*(1\/2 - 1). Let g = c + 6. Is h greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*m = 9, 4*m + 5 = 3*i + 6*m. Let j = 4 - i. Suppose 164*d = 159*d - 30. Put j, 1, d in decreasing order.\nAnswer: j, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.03 (b) -10 (c) -0.0857 (d) 5 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 58 = 3*g + 73, -3*b + 10 = -2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 92456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 12. Let z be c(9). Suppose z*k + 2*k = 25. Let g(f) = f**3 - 4*f**2 - 3*f - 3. Is g(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/242 and -17\/154.\nAnswer: 1694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 416 and 7678712.\nAnswer: 399293024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*o - 246000 = -109*o + 105*o. Does 120 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -526. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 20*i**2 + 101*i - 95. What is g(24)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 13 = -f, 5*f = -5*g - 0*g - 10. Let i(h) = -3*h**3 - h**2 + h - 1. Let y be i(1). Sort -3, y, g in decreasing order.\nAnswer: -3, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18.9 + 11.1. Let s = -31 + d. Let o = 0.4 + 0.6. What is the nearest to -0.04 in -5, s, o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 10219524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*p**2 - 59 + 109 - 40 wrt p.\nAnswer: 26*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -4 (b) 3 (c) -2 (d) -9 (e) 17890\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1223.85 and -61149.325?\nAnswer: 59925.475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 12*r**2 - 8*r + 35. Let d be t(-11). Suppose 0 = 5*o + 5*k - 2065, 2*k = d*o - 150 - 656. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29943823?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 134 - 271. Let f = t - -94. Let g = -43 - f. Which is the second smallest value? (a) 2\/3 (b) 0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + -2)\/(7\/35). Let g(l) = 3*l + 20. Let y(u) = -2*u - 10. Let s(v) = i*y(v) + 2*g(v). What are the prime factors of s(-11)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**5 - 483*s**4 - 4417*s**3 - 5433*s**2 + 10332*s = 0.\nAnswer: -7, -3, 0, 1, 492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 10 = -0*v. What are the prime factors of 3 - (-2 - -2 - v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34 and 71.\nAnswer: 2414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*p**2 + 39 - 39.\nAnswer: -104*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 453 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5240 is divided by 5217.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*j**2 - j - 26*j**3 - 14*j**2 - 14*j**2.\nAnswer: -26*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110101110 + 0?\nAnswer: 100110101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-seven fifths of a meter?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000025514 to 7 dps.\nAnswer: 0.0000255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5131552607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*d**5 - 16833*d**4\/5 - 65488*d**3\/5 - 14344*d**2\/5 + 66624*d\/5 - 14672\/5 = 0.\nAnswer: -2, 1\/4, 262\/385, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216996984.\nAnswer: 2, 3, 3013847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 225009?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 31 = 3*p, p - 41878767*s = -41878763*s - 1 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 2, 965 in decreasing order.\nAnswer: 965, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 311411940 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 5*x**2 + x + 4. Let p be s(4). Let y(g) = 4*g + 41. Let d be y(p). What is the tens digit of d\/12 + (-399)\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12969.999942828 - 12970. Round y to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 42546.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - 2)*(-9)\/(-12). Is ((-148)\/(-12))\/((-1)\/u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + i = 2045*m - 2040*m - 37, -2*i + 3*m = -35 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -876622\nAnswer: -1753244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156128 is divided by 53.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 - 12*g**3 + 78 - 36 - 28*g**3.\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - q. Let y = 4 + -4. Let p be h(y). Is 4 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -14\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -607*j**2 + 129*j + 247. Calculate p(-2).\nAnswer: -2439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 92\/(-138) - 6\/19935*-2218. Is i equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(192))\/sqrt(8))\/sqrt(8) + -6*sqrt(27)*3.\nAnswer: -58*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 120425, 120464, 120565, 120758, 121073?\n\"Answer: 5*g**3 + g**2 + g + 120418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -378*v - 2 + 814*v + 3*v**2 - 4*v**2 - 434*v + 2*v**3. Let i = 2 - -1. Let a = i + -1. Calculate s(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 42 + c5a95?\nAnswer: c5ad7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -0.5 (c) -14 (d) -147 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4 - 26 = 0. Let g = -7 + a. 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 t = -137\/2 + 70. Let m(s) be the first derivative of 0*s - 8\/5*s**5 + 2\/3*s**3 + 5 - t*s**4 + 0*s**2. Let m(b) = 0. What is b?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = -478*v + 505*v. Calculate the lowest common multiple of v and 1284.\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 1067091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a**3 - 165683*a**2 - 662744*a - 662748 = 0. Calculate a.\nAnswer: -2, 165687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j + 2. Let s(k) = 2347*k. What is s(n(u))?\nAnswer: 11735*u + 4694","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 94 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/15 - 70\/(-25). Solve -z*k + 2*p - 2 = -0*k, -p - 2 = 2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 2*a - 3*a)*(30*a - 29*a - 127 + 204).\nAnswer: -2*a**2 - 154*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -28\/13 (b) -4 (c) 4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -12175\/13, -4 in descending order.\nAnswer: 10, -4, -12175\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 65*v**2 - 16*v. Let u(j) = 12*j**2 - 3*j. Let t(q) = -6*o(q) + 33*u(q). Let b(c) = 7*c**2. Determine t(b(p)).\nAnswer: 294*p**4 - 21*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 + (-408)\/16)*-74 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/20 - (1 - 31\/4). Solve -4*p + 2 = -d for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 g when three letters picked without replacement from {g: 2, u: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - v - 44, 10*h - 86 = 6*h + v. Suppose -10 = 19*s - h*s. Let c(g) = g**2 - 8*g + 16. Calculate c(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {x: 1, n: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2117.999974645 - 2118. What is g rounded to 7 dps?\nAnswer: -0.0000254","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10200112222101 (base 3) to base 6\nAnswer: -105555531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 12, n: 6}. Give prob of sequence nnn.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 7\/(14\/4). Suppose o*i - 986130 = 1713870. Round i to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1962?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53026845 to the nearest integer?\nAnswer: 7282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2445 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 j when two letters picked without replacement from {j: 6, r: 4, q: 4, g: 4}?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 5) in base 8?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5\/2 + 2*h**4 - 29*h**3\/2 + 12*h**2.\nAnswer: h**2*(h - 3)*(h - 1)*(h + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-6) - 28\/(-6). Let r(s) = n*s - 3*s + 0*s. Let p(o) = 4*o**2. What is r(p(z))?\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 8:11 PM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g. Suppose 0 = 3*h + 4*o + 53 - 75, 0 = o - 7. Let z(k) = 7*k + 1. Calculate h*z(n) - 22*u(n).\nAnswer: 30*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w - 29 - 31 + 60.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8765216\/253 + 34646. Let i = f - 16\/23. Let j = 214 - 1924\/9. Sort i, 5, j.\nAnswer: i, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 4:10 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86575671 and 6734?\nAnswer: 3367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2363576410 to the power of 1\/2, to the nearest integer?\nAnswer: 48617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52246 is divided by 1800.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (30\/(-9))\/((-4)\/24). Suppose 5*w = 2*z - 4, 0*w - 4 = -2*z + w. Differentiate m*j**4 + z*j**4 + 0*j**4 - 11 wrt j.\nAnswer: 88*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 q, and 1 n when three letters picked without replacement from {q: 1, u: 1, n: 1, g: 1, h: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*j + 196*j + 42*j in the form q + b*j and give b.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1893.57371 to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3348 - -0.388. What is z rounded to three dps?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - r**2 + r + 4. Let a be q(0). Suppose a*i - 304 = 6*i. Is (-4 + 1)*i\/24 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/9 and 27\/5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*2*3 + (sqrt(22)\/(sqrt(11) - -2*sqrt(11)))**2)*6.\nAnswer: 4\/3 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 15*s**3 - 4*s**2 - 19*s - 9. Let w(f) = f**3 - 2*f - 2. Let v(l) = -b(l) + 4*w(l). Find the second derivative of v(n) wrt n.\nAnswer: -66*n + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.335 - -0.015. Let r = z + 1.3. Which is the nearest to 0? (a) r (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-48 + 1)*(7 + -8 + 0). Let x = z - -19. Calculate the greatest common factor of x and 198.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c. Let t be u(-4). Let k = t - -14. What is the first derivative of 37*p - 37*p + 2 - k*p**4 wrt p?\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.7 + -8. Let x = l + 3. Let s = 0.17 + 0.83. Which is the second biggest value? (a) x (b) s (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 p when two letters picked without replacement from rrpeerneeecppce.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2548, 5091, 7648, 10225, 12828?\n\"Answer: h**3 + h**2 + 2533*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -91.8 + 92. Which is the biggest value? (a) 0.5 (b) 12 (c) 2\/11 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9816 and 56?\nAnswer: 68712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -17. Let l = -3666 - -3663. Which is the fourth smallest value? (a) 2\/13 (b) k (c) -0.4 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5*k**3 + 2*k**2 - 6*k - 12. Is l(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-350)\/(-35)*(-3)\/18*3. What is the closest to 0.2 in i, -0.2, -0.1, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3483706a + 9?\nAnswer: 34837078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 9:58 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 87. Suppose 3*q = -x - 2*x + n, 3*q = -x + 20. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4 = -a. Let t be (a - -6) + -1 + 0. Solve -g + t - 2 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16340853 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -417104.77 rounded to the nearest 1000?\nAnswer: -417000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h*s**2 - 3*h - 875*s**2 - 192*s wrt s?\nAnswer: 2*h - 1750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of 1013*h**4\/12 + 34*h**3\/3 - h**2\/2 - 1575*h. What is the second derivative of w(r) wrt r?\nAnswer: 2026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*m**2 - 59*m**2 - 12111 + 37*m**2 - 21*m**2 - 11111 to the form d + b*m + h*m**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 155 by 5040.\nAnswer: 31\/1008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*i + 618 = 0, 85*d = 60*d + 3*i + 5066. Let a = 483 - 281. Which is bigger: a or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeeeeeejejeejj. Give prob of sequence jeej.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*g = 6, 5*f = g + 17 + 1. Let p(y) = -6*y**2 - 3*y - 3. Let l(h) = -17*h**2 - 8*h - 8. Determine f*l(v) - 8*p(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -8. Let i(q) = q**3 - 3 - 1 + 5*q**x + 3*q + 3*q**2 + 3*q. What are the prime factors of i(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/6)\/((-10)\/(-285)). Suppose -4*o = 3*p - 14, -p - j + 7 = -2*o. Let v be p - (24\/21 + -3). What is the biggest value in v, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*o - 2 = 0. Let h = 0 + o. Solve -20 = 5*w, h*b + 5*w = -3*b - 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 c when three letters picked without replacement from cmcccmmccmmccmmcmmc?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-38720)\/(-1056))\/(1 + 7\/(-12)). Solve 60 = u*n - 100*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1325261*u**3 + 2838921?\nAnswer: 3975783*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 2. Let k = 3 + -1. Let d(q) = -3. Let p(b) = k*d(b) + 3*r(b). Let f(x) = 2*x. Calculate p(f(a)).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -118 + 119. Which is the third smallest value? (a) 0 (b) -1\/7 (c) o (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05748 - 3.8193707\nAnswer: -3.7618907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1037 + 1031. Which is bigger: w or -13?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*s = 45*s + 6, 0*p = -2*p + 5*s for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 7) in base 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3025588, 3025592, 3025598, 3025606?\n\"Answer: m**2 + m + 3025586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2 - 3. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3*(-4)\/(288\/(-27))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**5*f*f\/f**(3\/7)*f*f*(f\/(f\/f**(-2\/19)*f))\/f*f**(-9) assuming f is positive.\nAnswer: f**(-204\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -25.7. Let p = d + -3.2. Let t = 166\/679 + 4\/97. Which is the nearest to 0? (a) p (b) t (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -267420 - -802261\/3. Factor -11\/3*i + 4*i**2 - y*i**3 + 0.\nAnswer: -i*(i - 11)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -242.35 - -3.35. Let q = 240.46 + x. What is q rounded to one decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 5:24 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1868a (base 16) to base 7\nAnswer: -564324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -89.8409592 - 0.3\nAnswer: -90.1409592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -134040004 - 10?\nAnswer: -134040014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 171225 + -107156. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d + 14 - 6 = 56 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/480*4\/(-14).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 11:31 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 653*m**2 - 151*m - 14. Let y(a) = -490*a**2 + 110*a + 10. Determine 8*s(u) + 11*y(u).\nAnswer: -166*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 24. Let l(g) = 3*g**2 + 2*g - 9*g**2 + 7*g**j. Let x be l(-2). Solve x*r + 6 = 3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - k - 35, 0*k + 3 = 2*r - 3*k. Suppose -2 = -b + 1. Is 161 + b\/((-9)\/r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1233 - -84601.\nAnswer: 83368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 5:48 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*((-420)\/8)\/7. Let u = 6 + r. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)\/(sqrt(9)*1))\/(sqrt(3) + sqrt(12)\/sqrt(4)*-3).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 e when two letters picked without replacement from oooroowooowreooooe.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*g - 1097 = -772, 0 = h - 3*g - 106. What is the remainder when 747 is divided by h?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 229\/360 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 391647083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 956.0278 millilitres?\nAnswer: 0.9560278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**7\/2520 - c**6\/120 - c**5\/10 + 8*c**2. Let u(w) be the third derivative of t(w). Differentiate u(l) with respect to l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 equal to 174758?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61*m**2*y**5 - 67*m**2*y**2 + 589*m**2 - 8215*m*y**4 - 3*m*y**2 + 2*m wrt y.\nAnswer: -3660*m**2*y**2 - 197160*m*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 4*-2 + (2705\/(-37870) - (-319)\/7)\nAnswer: 79\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 0*v**3 - 2*v**2 - 3*v**3 - 15*v + 0*v**2 - 2*v**2 + 13*v - 2. Give o(-3).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 13*l - 68. Give x(-17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*t**2 + 76*t**2 + 2*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -7*z**2 - 8*z - 3. Let r(a) = 2*a + 33. Let d be r(-18). Let x be n(d). Let y = x - -58. Solve 3*c + y = -4*p + 4*c, -5*c + 5 = -5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5025191 and 0.03?\nAnswer: 0.4725191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 - 33*d - 590. Give b(-11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -437962, -439260, -441424, -444454?\n\"Answer: -433*x**2 + x - 437530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -319b - 1?\nAnswer: -31a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9 - 9 - l**5 + (4*l**2 + 3*l**2 - 3*l**2)*(8*l - 4*l + l**2 + 2*l**3 + l**2).\nAnswer: 7*l**5 + 8*l**4 + 16*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3\/10, -5, 0.5, -71?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 180144383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -7 (b) -4 (c) -5 (d) 2\/3 (e) 77.7 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18644 + -15566?\nAnswer: 3067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 + 37 + -28 + 31?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11441 (base 5) to base 7\nAnswer: -2353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010011100001 + -1101?\nAnswer: 1010011010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 7*p**3 + 65*p**2 + 117*p + 961. Determine f(-9).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.24, 1\/5, -0.171, -6\/13, -2?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**5 - i**5 + 4*i**5 + (-2*i**2 + 4*i**2 - 3*i**2)*(i**3 + 2*i**3 - 4*i**3)*(74 + 273 - 126).\nAnswer: 220*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 13*r + 1 = 0. Put -6, r, -2\/9 in descending order.\nAnswer: r, -2\/9, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.24 + 8.24. Let h = a - -12. Let y = -20.006 + h. What is y rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1877887 + 870055 = 234*g + 59750. What is the ten thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 165629, 165667, 165703, 165737, 165769, 165799, 165827?\nAnswer: 165853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76712 is divided by 1166.\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g + g + 2 - 360*g**4 - g**3 - 357*g**4 + 719*g**4 - 2*g**2 in the form n*g**2 + l*g + r*g**3 + m*g**4 + s and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 13 - 7. Suppose -8 = -0*a - 2*a, -36 = -3*m - w*a. Solve -3*l + 9 = m*h - 4*h, 0 = 4*l - 5*h - 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k**2\/7 - 16248*k\/7 + 32520\/7 = 0. What is k?\nAnswer: -2710, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5313 - 1027. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 1:57 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001101 - -101?\nAnswer: 1010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-1) - -1)\/(5\/5). Suppose -3*l + 90 = -j*l. What is the remainder when 88 is divided by l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1013 (base 5) to base 14\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101121 + -200?\nAnswer: 100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242251?\nAnswer: 157, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7422499, 7422500, 7422501, 7422502?\nAnswer: 7422503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**3\/3 + 232*a**2 + 19794*a - 61488 = 0. Calculate a.\nAnswer: -183, -168, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u**3 + 5*u**2 - 5. What is s(3)?\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 876076.\nAnswer: 2, 219019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + h + 122436 = -23800, -73104 = -2*y + 4*h. Is y a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-1)\/j)*j)**(16\/9)\/(j*j**(-2)*(j*(j\/j**4*j)\/j*j)\/j*j)*(j\/j**(-3)*j)\/j*j\/(j*j**(6\/7)\/j)*(j*j**(-1))**(-1\/3) assuming j is positive.\nAnswer: j**(835\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 2)*(3*n**5 - 4*n**5 + 2*n**5) + 7*n**2 + 49*n - n**5 - 49*n - n**5 - n**5 + 5*n**5.\nAnswer: -n**5 + 7*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275 is divided by 47.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.177 and -673.\nAnswer: -792.121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**6\/6 - 11*r**3\/3 + 14. Find the third derivative of d(v) wrt v.\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47109018 or -47109015?\nAnswer: -47109018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -12723\nAnswer: 2\/12723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 7:26 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -899.024 - -896. Let w = p - -3. Round w to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.25, -5, -0.3, 1\/2, 0, -1\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -32*x**3 + x**2 - x - 1. Determine b(-1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 53277, 426231, 1438569, 3409995, 6660213?\n\"Answer: 53284*x**3 - 12*x**2 + 2*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -948.43 - -944. Let f = s + 4.4300395. Round f to six dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23149421*g**2*u**2 - 4*g*u**2 - 2657*g*u - 354 wrt g.\nAnswer: 46298842*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1287 + 0.0713. Which is the third biggest value? (a) -25 (b) 5\/6 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 71938 - 54482 = -73*k. Calculate the smallest common multiple of k and 441.\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78 + 152. Let h = x + -43. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -184 + 174. Let a(p) = -5*p - 38. Let r be a(y). Solve 10*g - r*g = -10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f + 2*f**5 - 3*f**5 - f**5 + 8*f wrt f.\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**6\/60 + 7*h**5\/2 + 2*h**2 + 432. Factor r(x).\nAnswer: -2*x**2*(x - 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 948698 is divided by 369.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 16*r**2 - 25*r + 2. Let t(m) = 2*m**2 - 105*m + 1012. Let f be t(13). Give j(f).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/543, -2557, 1\/4, -1 in descending order.\nAnswer: 1\/4, -1\/543, -1, -2557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/8 of a minute?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*g + 39, 5*w + 9*w = -g - 5 + 3 + 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -429716, -429720, -429728, -429740, -429756?\n\"Answer: -2*f**2 + 2*f - 429716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-19)\/57 - (-146)\/6. Suppose 3*i + f = -21. Calculate the lowest common multiple of 18 and i\/(9\/3) + 7.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkkmmxmxkkkmxeeke. Give prob of picking 1 m and 1 x.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11241 is divided by 11229?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 94881408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xaaeaaxexxxaxaxexxa. Give prob of sequence eexa.\nAnswer: 21\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5560.61 rounded to the nearest 100?\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2637368, 2637367, 2637366, 2637365, 2637364?\nAnswer: 2637363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 27*i - 211. Let c be w(-35). Calculate the greatest common divisor of c and 2829.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 32 = -4*q, 0*b = -3*b. Solve -q = -3*z + 7*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 10) to base 7\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 7. Suppose 0 = -z + b - 7, 4*z = -0*z + y*b - 31. Sort z, -0.3, 4 in descending order.\nAnswer: 4, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/9*10\/15*3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -774 and -771 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -232 - -233. Let t = -224\/3 + 74. What is the nearest to 2\/3 in t, 1\/6, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 71, 139, 217?\nAnswer: 305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*h + 3. What is the units digit of h - (-11 - (4 - 2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 0.02, 0.2, -2\/53, 550?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 200841562?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/84880 and -27\/176?\nAnswer: 933680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*z**2 - 1 + 1 + 143*z - 1 + 118*z**2 wrt z.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 197399538 and 594?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) 578 (b) 4\/7 (c) 22.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -253411 or -253380?\nAnswer: -253411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2163474 rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 73989180 divided by -7570\nAnswer: -9774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -460*s**3 + 1055*s**2 + 3172*s. Differentiate m(i) wrt i.\nAnswer: -2760","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17206 and 42.\nAnswer: 51618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 192 = 257 - 71. What is the smallest common multiple of t and 63?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 35 = w, -2*j - j - 4*w + 4 = 0. Suppose 15*s - j*s = 14. Which is smaller: s or 7\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 59061308 from -8.5.\nAnswer: -59061316.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 937798 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 5:05 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43420.\nAnswer: 2, 5, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.084453 + -0.09169. Round m to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 5*g**3 - 291*g**2 - 247*g - 188. Determine k(59).\nAnswer: -837","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 1 + 4*a + a**3 - 2 - 5*a**2 + 0*a. Let k be h(4). Let u(z) = -2*z + 1. Let y be u(k). Let s(g) = -g**3 + g**2 + 5*g - 3. What is s(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (0 - -2) - (-50 + 55)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 - 2*n - 2. Let m be -1*5 + 9 + 2. Let y be (-9)\/m*2 + 7. Suppose 0 = z + y*r + 2, 17*r = z + 12*r - 7. Determine l(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223\/5 + 10\/25 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1))**(-1\/30)*(h**(-1))**31)\/(h**(-1\/4)\/(h**6\/h))**(2\/41) assuming h is positive.\nAnswer: h**(-18887\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -1. Let u be g\/14 - 76\/(-28). Let v = u + -1. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 283241619 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 860395 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 14) to base 12.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 - 11624\/1920)\/(68\/(-305)). Let w = 3\/64 - f. Calculate the common denominator of 55\/87 and w.\nAnswer: 1479","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 6612 = -6609 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 12.7. Let d = g - 2.1. Let k = 7 - 4. Sort -3\/8, d, k, -1\/2 in increasing order.\nAnswer: -1\/2, -3\/8, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tottorttnvo. What is prob of sequence vtt?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03153 and -600.\nAnswer: 18.918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 6:48 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 5:08 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -13*k - 8. Let x(m) = -2*m + 3. Let w be x(-2). Let b = -13 + w. Is 21 a factor of t(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 - 26. Suppose 3*p = -5*z - i, -3*p + z = -5 - 1. What is the least common multiple of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/45)*o**(2\/3)*(o*o**18)\/o**18 assuming o is positive.\nAnswer: o**(73\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/27999*-9)\/(37\/(-6) - (-264)\/44)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - h - h)*(-2*h**2 - 2*h**2 + 5*h**2 + 2*h + h**2 - 2*h + (-h - 4*h + 3*h)*(-2*h + 5*h - 4*h) + 0 + 2 + 11 - 2*h**2).\nAnswer: -6*h**3 - 39*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.02 and 27740332244.4.\nAnswer: 27740332244.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7646409 divided by 2548803.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of ((-90)\/(-24))\/(3\/76)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43904628 by -19993.\nAnswer: 2196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 15 = -5*n - 3, 2*r - 4*n - 18 = 0. Suppose r*q - 6*q - x = -259, -3*x = -2*q + 180. Does 29 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*w - 9. Let l(b) = b**w - 11*b**3 - b**3. Let a(s) = -s**2 - 9*s - 2. Let n be a(-8). Let k(f) = 2*f**3. Give n*l(r) + 34*k(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, p: 9}. What is prob of picking 1 s and 2 p?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 680 and 1292?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 10*a**3 - 2*a**2 + a. Let i be p(1). Let v(t) = 3*t - 6. What is the remainder when 61 is divided by v(i)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 845647807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1591038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -374 by -11.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192824475 is divided by 6220144.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -4485 less than 5353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -213 + 210. What is the closest to 0.1 in 1\/7, p, 1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 549769 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.53539 + -2.513. What is u rounded to 3 decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zozzzzooooooz. What is prob of sequence ooo?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 411293 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 840.8024mg?\nAnswer: 0.8408024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -426*b + 426. Let n be u(1). Let d(k) be the first derivative of 1\/9*k**3 - 14 + 1\/8*k**4 - 1\/12*k**2 + n*k. Find a, given that d(a) = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i - 5*i - 2*i)*(i - 2*i - i)*(-3*i + 0*i - i) in the form v*i**3 + y*i + t + u*i**2 and give v.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r = -24*r + 22080. Calculate the highest common factor of r and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + b = -2*d - 12, -2*b = -2*d. Let g(l) = -l**2 - 4*l. Let t be g(-3). Solve -5*x = -o, t*x + d - 32 = -5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 1. Let l(z) = -z - 5. Let s(v) = 3*b(v) + l(v). Let p be s(2). Put p, 4, 2 in descending order.\nAnswer: 4, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 0.009.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - 2 - ((3 - 3) + 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -666607 - 96?\nAnswer: -666703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h - 8*h - 95 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 25 = 39 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-110)\/(-99)*-6*4\/(-20).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27145865 and 195.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21942591 > 21942591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4403\/2331 - 10\/6. What is the fourth smallest value in 0.07, 0.3, -1\/5, 4, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 34, -1, 0, -2 in descending order.\nAnswer: 34, 5, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -62, -3, -7, -17 in increasing order.\nAnswer: -62, -17, -7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -2) + -9 + 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 - 27*w + 80. Determine m(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 9. Let b be (1\/(-12))\/(40\/480). Sort r, -335, b in ascending order.\nAnswer: -335, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 6*g**2 - 6*g + 9. Let v be p(-7). Let w = v + 5. Suppose -4*x = -w - 13. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 0 + (-6)\/(-2). Suppose -t*b - 7 = -100. Suppose 0 = -4*v + b - 11. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5837 + -5710. Calculate the remainder when 619 is divided by t.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13.1 + 13. Put -1, 3, o in decreasing order.\nAnswer: 3, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 9591568.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u - 4. Suppose 4*c + 4*q + 72 = 0, -4*q - 6 - 2 = 0. Let m be (-21 + 18)*(c\/6 + -1). Suppose -m*d = -6*d + 30. Give a(d).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 234795607, 234795606, 234795605?\n\"Answer: -h + 234795608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75713651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/45 and -113\/100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 209*k**5*o + 717*k**3*o + k*o - 36*k - 3*o + 4 wrt k?\nAnswer: 4180*k**3*o + 4302*k*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -7*u**2\/2 - 2. Let a(p) = 2*p + 10. Let m(y) = -6. Let g(n) = 3*a(n) + 5*m(n). Calculate t(g(k)).\nAnswer: -42*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 0.23, 3, 2, -1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -58*b + 1\/14*b**4 - 5\/21*b**3 + 1\/14*b**5 + 1\/7*b**2 + 0 - 4\/105*b**6. What is o in l(o) = 0?\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*p + 15895 + 5594. Let w = p + 1920. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + (-11 - 1) + 2303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -12*f + 11*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.8 + -3.8. Let s = 1.5 + o. Which is the third smallest value? (a) -4 (b) s (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 481.76433\nAnswer: -481.76433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 18, 11 in descending order.\nAnswer: 18, 11, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15790 divided by 6?\nAnswer: 7895\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 3, 10.\nAnswer: -2, -1, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + (-1)\/(-5))*(63 + -63)\/(-32). Suppose 1\/8*l**3 + 3\/8*l**2 - 1\/2 + q*l = 0. What is l?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - x + 1 = 0, z = 2*z - 2*x - 1. Suppose 0 = -2*d - d + 21. What is the remainder when 14\/1 - (3 - z) is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 165817319 to the nearest integer?\nAnswer: 12877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3392, 13378, 29988, 53192, 82960, 119262, 162068, 211348?\n\"Answer: -5*x**3 + 3342*x**2 - 5*x + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 5*g + 5. Let o = -8 + 20. Suppose 3*c - c + o = 0. What is f(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -6. Suppose 0*t - k*t = 5. Let i(r) = -12*r**3 + 2*r + 1. What are the prime factors of i(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -47\/2 - 70\/3*r + 1\/6*r**2 = 0. Calculate r.\nAnswer: -1, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 401*b - 5. What is the lowest common multiple of x(1) and 20?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -0.88. Let o = -20.45 - -22.45. Let d = -0.7 - -0.3. Which is the closest to 0? (a) m (b) o (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 times -1.259?\nAnswer: -0.21403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7668 by -9.\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*i = -i + 16, -3*u + 2*i + 8 = 0. Let c = u + 0. Suppose c*l = -l. Solve l = -3*f + f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -121*p + 364. Let a be j(-7). Calculate the highest common divisor of 7 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 1\/8*t**2 + 7 - 1\/16*t**4 - 1\/6*t**3 + 1\/2*t. Factor b(d).\nAnswer: -(d - 1)*(d + 1)*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - t - 1. Let d(b) = -b**2 + 8*b - 16. Let h(w) = d(w) - 3*z(w). What is the remainder when h(-9) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -10 - 37\/6*z**3 - z + 10*z**2. Find the first derivative of o(g) wrt g.\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - (-2)\/(-4))\/((-3)\/612). What are the prime factors of 8\/12*h\/1?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-19)\/(-73 - -16)*9147. Put 1, -0.2, 0, -5, p in increasing order.\nAnswer: -5, -0.2, 0, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.28 + -0.4. Which is bigger: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 9*w - 6. Let t be ((-48)\/15)\/(6\/(-45) + 0). Let o be (-2 - (-3)\/1)\/(3\/t). Let n be j(o). Solve n*x = -x + 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(1\/8*1). Let c(f) = -f**3 + 9*f**2 - 7*f + 9. Let i be c(l). Let m = i - 0. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5 - 10 + 5*n - 2 + 1. Let b(a) = a**2. Determine b(z(o)).\nAnswer: 25*o**2 - 160*o + 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - -2) + -6 + 9 + 0 + 2?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/7, -9, -203710 in decreasing order.\nAnswer: 6\/7, -9, -203710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 153 or 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 18499099.\nAnswer: 36998198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 - -3.04. Let u be 7 - 3\/((-3)\/2). Suppose -v - u = -4. Which is the nearest to 0? (a) w (b) -1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74 - -81. Suppose 3*v + y*v - 38590 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52920 and 588?\nAnswer: 52920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7 - -0.4. Let o = -1 - k. Let h = -0.4 - o. Sort h, -1\/4, -0.2.\nAnswer: -1\/4, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 7:16 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1320)\/297*(-2)\/((-340)\/(-102)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 449167 and 5702137.\nAnswer: 336426083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 574295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p**2 - 3*p. Let r(i) be the third derivative of i**5\/15 + i**4\/8 + 22*i**2. What is -5*o(c) - 6*r(c)?\nAnswer: c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -148, -154, -160, -166, -172?\n\"Answer: -6*x - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 - -2.4. Let d = 24\/17 - -3\/34. What is the biggest value in d, -0.5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14264*j**3 + 18*j + 172.\nAnswer: -85584*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/124 and -19\/28?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 3 = -4*s, 5*s - 1986 = -2*m - 2006 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 1.11?\nAnswer: 3.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 2)*(160*m + 112*m - 75*m)*(2 - 2 + 3) to the form q + o*m and give o.\nAnswer: 1182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4298 and 391132?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*c**3 + 5*c**3 + 3*c**3)*(-6 + 3 + 2) + (2 - 2 - 1)*(c**3 - c**3 - c**3) as v + y*c**3 + x*c**2 + m*c and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 151 + -148. Suppose -2*f + 4*w = -6, -f - 3*w + 4 = 1. Solve f*x + 0 = -l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 216 - 215.4. Let d = 342 - 342.4. Which is the closest to d? (a) 1\/5 (b) t (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*a**3*o**2 - 2*a**3 + 2*a**2*o**3 - 2*a*o**2 - 7*o**3 wrt a?\nAnswer: -36*a*o**2 - 12*a + 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0*q**7*q)\/(q\/q**(-1\/4))**(-8\/17) assuming q is positive.\nAnswer: q**(146\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -8*(-10)\/80 - (-91)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 - 49. Which is bigger: z or 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*y - 0*y - 7, -5*w = -4*y + 1. Suppose 0*c + y*c = -40. Let x(n) = 2*n + 5*n - 2 - 5*n. Let m(q) = -6*q + 6. Determine c*x(j) - 3*m(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**11*x)**6\/(x**(3\/10)*x*x*x*x*x**(-3\/19)) assuming x is positive.\nAnswer: x**(12893\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.8 - 22. Let s = f - -15. Let x = 4 - 3. Which is the closest to x? (a) s (b) 2\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1600)\/(-64)*(-56)\/(-140)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**4\/6 + 17*y**3\/2 + 455*y**2\/6 + 331*y\/2 + 295\/3 = 0.\nAnswer: -5, -2, -1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -177*f**2 + 3724*f + 77993. Give r(34).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 + -46. Let f(k) = -3*k**3 - k. Determine f(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25325 - 25324.9999966783. Round t to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -209, -405, -591, -761, -909, -1029, -1115?\nAnswer: -1161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -374 in -0.13, 2, -1.25?\nAnswer: -1.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 22*g. Let l(m) = -186*m + 19. Let b(u) = -59*u + 6. Let s(y) = 19*b(y) - 6*l(y). Determine p(s(a)).\nAnswer: -25*a**2 - 110*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v - 42 + 10 + 14 + 20 to o + q*v and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 64, -13, -1, -1041 in ascending order.\nAnswer: -1041, -13, -1, 2, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 35 (b) -3\/2 (c) -1\/25 (d) -2 (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = r - 4*f - 3, f + 29 = 4*r. Let p = -15 + r. Is (-88)\/(-9) + p\/(-36) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 2*j + 16, -5*f - 3*j = -7 + 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 26*i**2 + 27*i + 53. Let g be d(-25). Suppose -5*f = -3*s - 1, 5*f + 0*f = s + 7. Let z = g + f. Let y(r) = -r**2 + 3*r + 4. Give y(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/5)\/(2\/(-20)). Suppose 5*d = 2*g + 9, 3*g = d - 0 - 7. Let m be (-6)\/(l\/(-10) + g). Calculate the highest common factor of m and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y - 5*y - 3*y. Let i(b) = -b + 14. Let d be i(10). Suppose -d*q - 3*a + 7 = -12, 2*a - 12 = -2*q. Determine w(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -12 - (-1736)\/(10 + -2). Calculate the greatest common factor of 410 and l.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -439*u**2 + 2*u - 1529. Let k(h) = -878*h**2 + 3*h - 3057. Let g(w) = 4*k(w) - 7*t(w). Differentiate g(x) with respect to x.\nAnswer: -878*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**5\/15 + 43*l**4\/36 - 110*l**3\/9 + 5*l**2 + 5*l - 73. Let k(u) = 0. Calculate u.\nAnswer: -55\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62 (base 14) to base 6\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 4\/1121 (b) 5 (c) -1\/3 (d) 9 (e) -0.4 (f) -3 (g) -2\/31\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 6*g**2 + 4. Let j(c) = -2*c**3 + 19*c**2 - 20*c - 92. Let k(q) = -d(q) + j(q). Give k(24).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 16*q**7\/21 - 9*q**5\/20 - 37*q**3\/3 - 11*q - 3. Find the second derivative of v(r) wrt r.\nAnswer: 640*r**3 - 54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5782025837 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: Let i = 5 + 0. Let o = 27 + -47. Let w be o\/(-90) + 29\/(-9). Which is the second smallest value? (a) 1\/4 (b) w (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 11:52 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t - 7 - 4 - 9 + 94 to u + w*t and give u.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 14 + 5*w - 5*w - 11*w. Let o(u) = 4*u - 5. Let h(r) = -r**3 + 19*r**2 - 3. Let a be h(19). Calculate a*l(m) - 8*o(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 11, j: 1, p: 3}. Give prob of picking 4 f.\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.1, 0.02, 87, 0.91, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*f - 3285, -5*f + 4*g - 1650 = 1620. Does 25 divide (6 + -7)*-2 - f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2014 + -110?\nAnswer: 1404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0237? (a) -3\/4 (b) -1 (c) 215\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11162.9 - -11163. Let f = 2.95 - -0.05. What is the fourth smallest value in 1\/3, f, g, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 5*l - 4*f - 190, 0 = -3*l + 3*f + 168. What is the remainder when l is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.6269 to 1 dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33.82 - 36.82. Sort -1.6, -5, q, 0.4 in ascending order.\nAnswer: -5, q, -1.6, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 3*o - 30, 4*l = -3*o - 1 + 6. Suppose 100 = l*t - 3*a, 5*t + a + 2*a - 100 = 0. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 12:54 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9\/25 - -37\/175. Sort 1, -3, q, -2 in increasing order.\nAnswer: -3, -2, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (366123*d + 7 - 3*d**3 - 366123*d - 10*d**2)*(-2*d - 1 + 1) - 4*d**3 - d**4 + 4*d**3 in the form h*d**2 + q*d**3 + p*d + z + k*d**4 and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5*-26\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 68.013 at most -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282088 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - 17) + -5 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 10 = 2. Suppose u*a - 32 = 19. Suppose -g + 50 = 3*g - 2*b, 2*b = -g. What is the remainder when a is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - f = 4, -x - 3*f + 61 - 32 = 15 + 26 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 346.5507198 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -9. What is the common denominator of f\/(-10) + (-18)\/(-8) and (-718)\/180 + (-3)\/(-5) - -2?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 + 1774*m - 786769.\nAnswer: -(m - 887)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 60*i + 6. Calculate z(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -0.4, 0.4, 49, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -835869 by 7.\nAnswer: -835869\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*v + 75*v - 8806 + 826 = 164*v for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 470579140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -428211 + 2?\nAnswer: -428209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1051608 + -987460556\/939. Let t = s - -6\/313. Which is the third smallest value? (a) t (b) 3 (c) 0 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 34 = -3*q, 118*y = 123*y + 4*q - 42. Calculate the smallest common multiple of 68 and y.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 2 + 13. Suppose -r = -i*r. Let n = 15 + r. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 2*w - 23, -20*w + 18*w = -4*c + 4. Solve -9 = c*q - 0*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 6:28 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45493 is divided by 5628?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -2*c**7\/189 - c**6\/135 + 7*c**5\/90 - c**4\/54 - 5*c**3\/27 + 2*c**2\/9 + 3*c. Solve w(q) = 0 for q.\nAnswer: -2, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-39186)\/1244*4\/7*2\/(-294)*-1\nAnswer: -6\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1339 and 11947?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(72)\/sqrt(3))\/sqrt(8)*-6 - ((-4*(sqrt(3) + 0 + sqrt(3)) - sqrt(3)) + (sqrt(3) - (sqrt(3) - sqrt(12)\/sqrt(4)*3))))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -12524783 at most as big as -12524778?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f + 9. Let y(v) = -2*v + 5. Calculate 3*j(x) - 7*y(x).\nAnswer: -x - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-2*sqrt(187)*-2)\/(sqrt(396) + (sqrt(99)*-2)\/sqrt(9)))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (19\/38)\/((-24)\/(-208))\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -482*d**2 - 2*d. Let o(y) be the first derivative of y**2\/2 + 1680. Determine o(i(m)).\nAnswer: -482*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a + 52 = a. Let p be -4 - (-4 + (-12)\/a) - -5. Let v be p\/(5\/(-30) + 28\/120). What is the greatest common factor of 135 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaabba. What is prob of picking 2 a?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 - -27. Let o be (1\/a)\/(12\/(-72)). Solve 3*k + 12 = 0, 0*k = o*w + 4*k + 20 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200121201 (base 3) in base 13?\nAnswer: 121a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -125 in -0.4, 9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3255501 is divided by 105016?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132 and 1452?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 62 = -3*t + 20, 3*t - 2*h - 74 = 0. Suppose -6*f + 3*f + w = t, 4*f + 12 = -3*w. Let b(a) = 3*a - a - 3 - 3 - 3*a. Calculate b(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1525 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84185.\nAnswer: 5, 113, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136\/(-28) - (6\/14)\/3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6456\/17754)\/(10\/11).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/7))**(-45)*(j\/(j**(2\/9)*j))\/(j\/(j\/((j*j*j**(-4\/5))\/j*j*j))))\/(j*j**(1\/5)*(j**(-5)\/j)\/j*j**3*j**(-5)\/j) assuming j is positive.\nAnswer: j**(6059\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 56.94 (b) 2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-108)\/(-132) + 2\/(-2). Suppose -2*l - 15 = -5*l. Suppose -2*b - 3 = -l. Which is smaller: b or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65 - -85. Calculate the smallest common multiple of m and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*o**2 + 37 - 37)*(-2*o + 2*o**2 + 2*o) + (-4*o + 0*o + 6*o)*(o**3 + 5*o**3 - 4*o**3).\nAnswer: -52*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20005127.\nAnswer: 47, 425641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2029116477 + -250.\nAnswer: 2029116227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**4 - 536*r**3 - 8116*r**2 + 659280*r - 6051600 = 0. Calculate r.\nAnswer: -82, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -62, 8, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 8:45 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*g + 67*g + 61*g + 73*g + 58*g - 385*g + 75*g.\nAnswer: 17*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + a + 18 = 0, 0 = -3*t - 2*a + 437 - 448 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017 times -10?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 7*u + 4*u**2 + u**3 - 4*u + 32 - 36. Let p(h) = 2*h**3 + 9*h**2 + 7*h - 9. Let o(l) = -9*f(l) + 4*p(l). Factor o(y).\nAnswer: -y*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 478, -3, -3\/161?\nAnswer: -3\/161","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 0*c**4 + 0 + 7*c**2 + 0*c**3 - 8*c - 3\/4*c**5. Differentiate r(o) wrt o.\nAnswer: -45*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-2)*25\/5*174\/(-145)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08805 to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 810 is divided by 96?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -13*t - 2. Let m be i(-2). Suppose o = -3*c + 27 + m, -2*o = 5*c - 84. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20064, 0.1, 0.2, 2\/17 in descending order.\nAnswer: 0.2, 2\/17, 0.1, -20064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32664 and 74441256?\nAnswer: 74441256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*y + 2. Is (934\/y)\/((-3)\/((-9)\/6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 6:30 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from {e: 4, j: 10}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58*t**4 - t**3 - 768*t**2?\nAnswer: 1392*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4632 and 36.\nAnswer: 13896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 131123212?\nAnswer: 131123222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 147*q**2 + 25 wrt q.\nAnswer: 294*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -84012, -167995, -251976, -335955, -419932, -503907, -587880?\n\"Answer: n**2 - 83986*n - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -196*x**4 + 412*x**3 + 31739*x**2 + 2*x wrt x?\nAnswer: -4704*x + 2472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -13 - (2 + -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**7)**(2\/97) assuming a is positive.\nAnswer: a**(14\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*m, 0 = d - 3*m + 5*m. Let i be (-2*2 + 3)*d. Solve -5*w = -r + 7, i*r = 2*r + 5*w + 16 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13148 + -394261\/30. Find the common denominator of -49\/27 and t.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-29)\/(-6) - (-29)\/174. Suppose 0*m - 4*v = -z*m + 1840000, 0 = -2*m - 4*v + 736000. What is m rounded to the nearest 10000?\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -7*f. Let t(g) = 1. Let r(k) = 5*k - 10. Let p(m) = r(m) + 10*t(m). Determine p(s(b)).\nAnswer: -35*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7879 = 6*j - 473. Suppose -537 = -5*b - j. What are the prime factors of b*(30\/(-18) + (-4)\/(-6))?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -98767712 divided by 3086491\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61601887.\nAnswer: 29, 61, 97, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -2*s - 9, 3*s - 16 = -5*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 964*u + 3 - 122*u + 203*u in the form c*u + w and give c.\nAnswer: 1045","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 629952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 10*v**2 - v + 5. Let w(k) = k**3 - 11*k**2 + 5. Let p(y) = -6*o(y) + 5*w(y). Let b(x) = 5*x**2 - 26*x + 11. Let d be b(5). Determine p(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -31*c + 4. Is 33 a factor of m(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -147738 divided by -49246\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*m + 3242 - 29166 = 0, -2*w - m - 10384 = 0. Sort w, -4, 4.\nAnswer: w, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*q**3 - 40*q**3 + 56*q**3.\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d**3 - 5*d**2 + 1383*d + 645. What is h(-19)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-24 - (11 - 5)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312*f + 960 = -248*f for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 2*a = 14, 2*a - 4 = -2*r - 2*a for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 4 = 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-1*sqrt(176) - sqrt(176))*-5 + sqrt(176) + ((sqrt(176) + -1)*4 + sqrt(176) - sqrt(176)) + sqrt(176) - (sqrt(176) - (2 + sqrt(176)*-5))*4)**2 + 2.\nAnswer: -1024*sqrt(11) + 45122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**6\/120 - k**5\/30 + k**4\/24 + k**3\/2 - 2*k**2. Let l be o(-3). What is the units digit of (6\/l)\/((-6)\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.175 + 274.345. Let p = 272.9793 + 0.0207. Let m = t - p. What is m rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 24*y + 119. Let o be g(-28). Let t be (o - 9)*3 + 18\/2. Solve -c = -4*r - 12, t*r - 4 = 4*c - 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -907, -38, -1, 5 in ascending order.\nAnswer: -907, -38, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 246104969?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -2\/31 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -154 + 156 - (0 + -12 + 3)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*c - 30 = 149*c. Solve 6 = c*j - 5*l - 0, l + 12 = -5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 2:59 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 4*k - 82 = -2*r, -149 = -4*r - 3*k. Calculate the greatest common factor of 35 and r.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -9, -3 = -3*h - h - r. Suppose d - 3 - 5 = 2*u, 4*d + u + 4 = h. Let w be (-2 - -2)\/((-2)\/2). Is d less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*f - 38*f - 38*f - 33*f - 38*f + 29*f.\nAnswer: -19*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1760976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -853 - -905. Let i = 22 + 126. Calculate the remainder when i is divided by h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001023794652 to 6 decimal places.\nAnswer: -0.001024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**2 - 9*k + 12. Let w be h(4). Let v = 20 + w. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 219 + 371?\nAnswer: 58a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (90 - 89) + (6 - 0) + 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/745 or 0?\nAnswer: 7\/745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (8 - -4 - 3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4282 - 0.0718. What is the smallest value in a, 4\/3, 5\/6, 1\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 136 and 68?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/41355 and 65\/57897.\nAnswer: 289485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3440594 + 3439734.2045. Let j = a + 860. Round j to 2 decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b. Let r be n(1). Let u(w) = -2*w - r*w + 5 + 4*w. Let x be u(5). Is -1 >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2219 and 21?\nAnswer: 6657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 312\/52 + 94\/((-3 + 4)*-14)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/882 and 7\/6378.\nAnswer: 937566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4549*u**2 + u. Let c(p) = -7*p. Calculate c(h(o)).\nAnswer: -31843*o**2 - 7*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -122*t + 113*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.523? (a) -3 (b) 34461 (c) 0.1 (d) 0 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (2 + 4 - -3) + -8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen quarters of a tonne?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.18 + 0.11. Let g = j - 0.23. Let r = g - -0.5. What is the nearest to r in -0.3, 3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -s - 10. Let y = s + 199. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111010010011001 (base 2) in base 5?\nAnswer: 1423344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 2) + (-8 - -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**4 + 24*v**3 + 90*v**2 + 96*v + 33.\nAnswer: -3*(v - 11)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 169951459?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18885 - -35186. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3097 and 1141.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = c - 2*r, 0*c - 5*c = 5*r - 60. Suppose 4*u - 20 = 3*k + 28, -4*u - 4*k = -48. Let o = u - c. Solve o*v + 0 = -3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 16.2. Let f = y + -1. Let m = 0.04 - 0.04. What is the closest to m in -2\/3, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 14 + 14. Let n = 85\/3 + f. Which is the biggest value? (a) n (b) 1\/2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 39 = -3*c + 3*d, 5*c - 65 = 5*d. Solve -8 - 31 = c*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m + 1. What is the tens digit of d(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**4\/6 + r**2. Let g(m) be the third derivative of -m**5\/30 + 2*m**2 - 18. Give g(k(h)).\nAnswer: -32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/537707037 and -101\/42?\nAnswer: 1075414074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -256*v - 290*v - 17026 - 22832 for v.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104765363.\nAnswer: 104765363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z**2 + 2*z. Let r(w) be the second derivative of -19*w**4\/6 + 1173*w. Calculate v(r(j)).\nAnswer: -5776*j**4 - 76*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*v + 15 + 13, 0 = a - 5. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o + 4. Is y(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2838 + 67*y + 1431 - 5*y + 1406.\nAnswer: 62*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-81480)\/4656*4\/5*(-5)\/(-7)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*i + 0*i**3 - 3*i**3 + 4*i**3.\nAnswer: i**3 + 34*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 472*s - 503*s = -279 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 0*i - 1 - 3*i + 4*i. Let o be c(4). Let u(w) = w**2 + 2*w - 5. Let g be u(-4). Solve 3*v = 4*b, -o*v + 6 = -g*b + b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 33097 = -5*x + 7230, 0 = 5*x + 4*j - 40318. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 1. Let y(c) = -36*c + 2 + 121*c - 39*c - 45*c. Give -10*a(z) + 5*y(z).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6*m**2 - 40*m + 10. Suppose t = 2*k + 20, -3*k - 342*t = -346*t + 45. Determine p(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59.998074 - 59.96. Let o = t + -0.038. Round o to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2000400 - 123?\nAnswer: -2001023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 78 - 83 + 67*b - 80*b + 14*b. Suppose 2*k = 6*k - 44. Determine f(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/9, 3, -14, -12, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**7\/70 + p**5\/10 - p**3\/2 - 2*p**2 - 25. Let t(f) be the second derivative of y(f). Let t(h) = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 6 = n - 3, n = 4*m + 12. Suppose -z + 5*v - 2*v + 15 = n, z - 5*v = 23. What is the first derivative of 3*c**3 + z - c**3 + 0 wrt c?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - h + 0*h = 9, 0 = -4*h - 16 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -3*a + 30, -v = 2*v + 5*a - 40. Suppose 7*d + 6 = v*d. Let l be 1\/(5\/(-2) - d). Solve -2*r + 13 = -3*c + l, c = -4*r + 15 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9219 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4206 and 284.7?\nAnswer: -1197448.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - 0.4. Let v be ((-5)\/(-3))\/(-2 - -1). Which is the second biggest value? (a) z (b) v (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -5*o**4 + 28985*o**3 - 14611215*o**2 - 29309405*o - 14669200 = 0.\nAnswer: -1, 560, 5239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c**2 - c**2 + 0*c**2)*(-1 + 0 - 1 + (-4 + 2 + 1)*(4 + 3 - 5) + 0 - 4 + 5) to h*c**2 + z*c + b and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 556 divide 374566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.49607495 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, y: 3, g: 6, t: 2}. What is prob of picking 1 g and 1 w?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4550000*a**3 - 3*a - 2. Let w be f(-1). Let p = w - -7729999. Round p to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than or equal to -3\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22157 + 22148. Let p = -5 + 7. Put v, 2\/15, p, -2 in descending order.\nAnswer: p, 2\/15, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j - 57. Let a(x) = -x. Let p(z) = 4*a(z) - r(z). Let c be p(6). Solve 0 = -c*t + 11*t - 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3*4)\/((-93)\/62). Is (-3642794)\/(-306) - f\/18 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8.1 in 4, -1\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 - 41*u**3 + 0*u**2)*(-978 + 978 - 64*u**2 + 3 - u**2 - 3 + (-5 + 3 + 3)*(2*u**2 + 1 - 1)).\nAnswer: 2583*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-292)\/(-949)*(-3458)\/(-28)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 6*o = 0. Let p be (-4)\/(-1) - (-3 - o). Let g = 8 - p. Sort -2, -3, g in increasing order.\nAnswer: -3, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 take away 14?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -171 in -0.4, 40, 2\/9, -0.2, 0.5, 19\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 264 and 12?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 6*((sqrt(720) + 0)*-1*3 - (-2 + 0 + sqrt(720) + -3))**2)*-2.\nAnswer: -138530 + 5760*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 10, e: 6, h: 1}. Give prob of picking 2 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 170177, 340350, 510523, 680696, 850869, 1021042?\nAnswer: 1191215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -290 - -114. Which is smaller: 10 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 0, 4, -58.\nAnswer: -58, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 872.\nAnswer: 261.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96547360 divided by 494.\nAnswer: -195440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 7*p = 10. Let m be (-75)\/(-2)*p\/(-3). Let s = m - -43. Does 17 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + i + 14 = -3*i, 4*p = 4*i + 20. Let g = -0.55 + -0.05. Let a = -2.6 - g. What is the second biggest value in a, -4, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93598*h - 54*h**2 + 75*h**2 + 93598*h.\nAnswer: 21*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 0, 3*s + 5 + 11 = 4*h. List the prime factors of (3\/9)\/(h\/3336).\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45.2 + -5.8. Let c = -50.33 - k. What is c rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -33, 2\/3, 2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3274 - 2013. Let k = -740 + q. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 16*v**2 + 6*v + 1. Let j(g) = g**2 + g. Let k(p) = -4*j(p) + s(p). What is the remainder when (1 - 1)\/(-2) - -32 is divided by k(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 48 = -0*q. Let p = 23 + q. Let v = 346 + -350. Sort -5, v, p in increasing order.\nAnswer: -5, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.263 - -2.763. What is the second smallest value in -2\/15, 0.73, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.056519 + 0.184484. Let z = h + -0.128. What is z rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/15)\/((l*l*l**(-1\/24))\/l) assuming l is positive.\nAnswer: l**(-33\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1121*c + 49 = -1124*c - 5*t, -3*t = -3*c - 57 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1925*b**3 + b**2*u*v - 2*b*u*v + 3089*u*v with respect to b.\nAnswer: -5775*b**2 + 2*b*u*v - 2*u*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*r - 1 + 23*r + 3 + 9*r.\nAnswer: -29*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f - 2*f**2 - f)*(-3*f + 2*f - f) + (0*f**2 + f**2 + f**2)*(0 + 0 - 4*f) + 11 - 24*f**3 - 11 to g*f**3 + l + m*f + i*f**2 and give g.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-17)\/(85\/30)*(-2)\/42. What is the biggest value in c, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -9*k**3 + 5*k**2 + 15. Let a(x) = -5*x**3 + 3*x**2 + 8. Let b(w) = -11*a(w) + 6*l(w). Let v be (-9)\/(-3) - (1 + -1). Determine b(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - 0.8. Let u = -83\/428 + -6\/107. Let l = 3 - 2.7. Which is the nearest to u? (a) q (b) l (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/30)\/(36*(-32)\/(-2304)). Which is the second smallest value? (a) y (b) 0.1 (c) -1006\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - m + 12, 3 = -3*v + 5*m - 6. Let p be v\/6 + (9\/(-6) - -3). What is the greatest common factor of 37 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 22 = 6. List the prime factors of 3814\/30 + k\/(-60).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 6789*c - 8 - 15 - 9 + 38.\nAnswer: 6789*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 15*f**2 - 11*f + 57. Let r be j(-14). Suppose -4 = -m + 26. Calculate the greatest common factor of r and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 308 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of t**4\/2 + t**3\/3 - t**2 + 3. Let c be x(2). Solve -2*j = 3*p - 6*p + 9, 5*j - p = -c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 1, 1\/5, -29\/17, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 + 42. Calculate the greatest common divisor of 24 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fkkkfkgfkffkkgcfkj. What is prob of sequence gc?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6790128 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.71875 litres in millilitres?\nAnswer: 6718.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r + 1. Suppose -15*g + 53*g = -76. Let z(q) = -1 - 1 - 2 + 13*q. Determine g*z(b) - 9*f(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2091063449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*k + 417 = -259 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -752484, -2, 5 in ascending order.\nAnswer: -752484, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 240 and 90?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 150961527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 2*p + 12. Let a(h) = -3 - 2 - h + p. Let x(g) = 198*g - 4 + 199*g + 197*g - 598*g. Determine -9*a(u) + 2*x(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-134*k - 178*k + 102*k)*(4 + 3 - 3).\nAnswer: -840*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*v + 2. Find the second derivative of p**v + p - 6*p**2 + 5*p + p wrt p.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i - 2*i + 4*i)*(0 + 0 - 2*i**2) + (-12*i**2 + 348*i - 348*i)*(-2*i + 0 + 0).\nAnswer: 30*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 15 + 2*x + 158*x**2 - 50 + 11.\nAnswer: 158*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**3 + 4*o**2 - o + 2. Let y be r(2). Suppose 27*x = 25*x + y. Is x a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3298, -5146, -6994, -8842, -10690?\n\"Answer: -1848*c - 1450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 1651*i**2 - 6*i. Is w(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(756)*-3)\/(sqrt(35)\/sqrt(80) + (sqrt(175) - sqrt(175)*-2)).\nAnswer: 144*sqrt(3)\/61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 - 4)*(89*p - 35*p - 14*p).\nAnswer: -320*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -814*s**2 - 2*s. Let g(d) = 2*d**2. Calculate w(g(o)).\nAnswer: -3256*o**4 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1093, 6, -18 in increasing order.\nAnswer: -1093, -18, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4, 79, 308, 769, 1540?\n\"Answer: 13*t**3 - t**2 - 13*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 177 = -4*j - 0*j, -4*d + 708 = 4*j. Suppose 0 = 4*s - 8*s - 4, 3*s + d = c. Suppose c = 4*u - 30. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2. Let m(q) be the second derivative of 96*q**3 - q + 130. What is v(m(c))?\nAnswer: -663552*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 87109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -5.6. Let i = g - -1.24. Let k = i + 0.26. Which is the nearest to k? (a) -0.4 (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i + 27. What is the remainder when l(-2) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 28 - -2 - (-75 + 147 - 79)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -5*b. Let f(a) = 293*a. Determine f(h(i)).\nAnswer: -1465*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60626*j**2 + 3330*j - 1622*j - 1708*j.\nAnswer: -60626*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5096.7 - 5097. Suppose -f = 2*f + 6. Let l be (-2)\/4*f + -20. Which is the biggest value? (a) -1\/5 (b) v (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4209340 or 0?\nAnswer: -1\/4209340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a**2 + 3365467*a*l + 3437152*l wrt a?\nAnswer: -2*a + 3365467*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - (0 + (-10)\/1). Let l = t - 5. Let u(k) = 5*k**2 + k. Calculate u(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 5 = -5*c - 0, 3*y = c + 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -9\/140, -6.\nAnswer: -6, -2\/9, -9\/140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -23031361 (base 7) to base 16\nAnswer: -1ea2d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 25*-0.465743\nAnswer: -11.643575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8109099 is divided by 147437.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1215 - 1212. Put 5, 0, s, 137 in ascending order.\nAnswer: 0, s, 5, 137","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/6 and 39\/487.\nAnswer: 2922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -5*h**3\/3 - 3. Let p(g) = 2*g**2. What is p(z(k))?\nAnswer: 50*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58094?\nAnswer: 2, 31, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 8, -4, 11 in increasing order.\nAnswer: -5, -4, 3, 8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 + -29. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 3*f + 29. Let r be m(-7). What is the remainder when 44 is divided by ((-2)\/r)\/(3\/150*-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = -4*d + 29 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*q - 123*q + 5*q - 153*q - 23*q.\nAnswer: -230*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 147*a - 594*a + 152*a + 142*a + 20 + 149*a. Calculate r(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -185.1 - -184.7. Let p = 13 + -8. Sort 0.9, p, l in decreasing order.\nAnswer: p, 0.9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(396) + -2)*3)**2 + (2*sqrt(396) + -2 - -6*(sqrt(396) + sqrt(396) + (sqrt(396) - 2*sqrt(396)))).\nAnswer: 12*sqrt(11) + 3563","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 8 = 107. Suppose l - 20 = -1. Let b = z - l. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -11*d + 54. Let f be v(5). Let u be (3\/9 + f)\/((-5)\/360). What is the highest common factor of u and 192?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -q - 4*q. Suppose -7*z - 3*s + 27 = -3*z, q*z - 37 = -5*s. Suppose 0*n = z*n - 3. Solve 13 = -4*x + n for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*j**2 - 86*j**2 + 171*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 198734 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-26)\/(-208) + 2239\/8 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -18, -2973, 3\/7?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f - 2. Let o be g(-4). Let p(s) = -109 + 32 - 6*s + 25 - 4*s - s**2 + 23 + 28. Give p(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12319635007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 3*m - 18 = 0. Let f be (534\/(-9))\/(4\/m). Round f to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 547881 * -14.\nAnswer: -7670334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-282)\/(-4) - 7\/(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 12 (c) 4 (d) 0.5 (e) 3\/2 (f) -4 (g) -1\/1910\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 12*o**2 - 7*o - 8. Let u be f(-12). Let a = u + -682\/9. Let g be 1 + 1 + 0 + -1. Which is bigger: g or a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + -1 + 2)*30. List the prime factors of p\/(-33) - (-4)\/22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 39 + -6*3\/6. What is the greatest common factor of 24 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of l**4\/24 - l**3\/18 - l**2\/12 + l\/6 + 6. What is a in u(a) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10848589*i - 10848569*i - 20 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by -891?\nAnswer: -35\/891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**3 + 3*r**3 + 0*r**3 + 0*r**3 + 4*r**3 - 3*r**3 + (r**2 - 3*r + 3*r)*(-2*r + 0*r + 0*r) + (115 - 7*r - 115)*(2*r**2 + 1 - 1).\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -23*o**5\/60 - 5*o**3\/3 + 37*o**2. Let g(z) = -114*z**2 - 48. Let q(f) = 5*g(f) - 24*t(f). Let j(r) = 3*r. Give q(j(d)).\nAnswer: -162*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -9*l + 103668, -41*p + 5*l + 51796 = -39*p. What is the ten thousands digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l - 3*l**3 - 2 + 0 - l**2 + 1. Let d be m(-1). Find b, given that 5*b - 5*b - b**5 - 2*b**3 + 3*b - 4*b**4 + 1 + 2*b**d + b**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 3*n - 123 = 0, 98*r = 93*r - 38*n + 1558 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -937*j**5*t**2 + j**4 - 2*j*t**2 - j + 4*t wrt j.\nAnswer: -18740*j**3*t**2 + 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*b**2*x**3 + 14*b**2 - 5*b*x**3 - x**3 + 2*x wrt b?\nAnswer: 8*x**3 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-1) + 1 + 4. Sort f, -2, 0 in descending order.\nAnswer: f, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**4\/6 + 13*g**3\/2 + 8883*g**2. Give t(-14).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891)*-2*-2 + -5.\nAnswer: -5 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*o - 17*o - 52 = -41*o + d, 0 = 6*o + d - 68 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -3160 + 3189. Let f(r) = 4*r**2 + 4*r + 8. Suppose -5*o = -3*o - 14. Let x be f(o). What is the greatest common divisor of y and x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -320, 0.043 in decreasing order.\nAnswer: 4, 0.043, -320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/21560 and -11\/80.\nAnswer: 43120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -32\/467149 (b) 1\/2 (c) -1\/2 (d) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2249 + -2222. Let s = -149728 + 149754.9996. Let a = s - t. Round a to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1823307 by 3.\nAnswer: -607769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/80 and 50*(9 - (-6894)\/(-768)).\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.0339 - 6.14. Round d to 3 decimal places.\nAnswer: -0.106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k + 59. List the prime factors of p(22).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*z**3 - 17*z**3 + 90*z**3 + (-2*z**2 - z**2 + 4*z**2)*(2*z + z - 2*z) - 3*z**2 + 3*z**2 - 2*z**3 - 3*z + 3*z - 2*z**3 - 8*z**2 - 4*z**3 + 8*z**2.\nAnswer: 89*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.03, -3, -2\/11, -0.048?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 0)*(-s - 4*s - 4*s)*((3 - 2 + 1)*(1 + 0 - 2) + 2 + 1 - 1 + 3 - 2 - 4 + (3 - 5 + 4)*(-4 + 5 - 2) - 1 + 2 + 1) to p + a*s and give a.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 274 or 273?\nAnswer: 273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u + u**2 + 3*u - 7*u = 0. Calculate u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -412*i = -398*i - 34594. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**5\/5 - 120*v**4 - 29144*v**3\/5 - 122396*v**2\/5 + 334614*v\/5 - 182476\/5 = 0. Calculate v.\nAnswer: -38, -7, 1, 343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) -33.4 (c) 4 (d) -3 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32.9 + -33. What is the second biggest value in n, -8, 0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2 = -4. Let p(u) = 3*u**3 + 2*u**2 + 5*u + 4. Let s(l) = 2*l**3 + 2*l**2 + 4*l + 3. Let m(t) = -3*p(t) + 4*s(t). What is the units digit of m(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m - 1. Let s(h) = 334*h + 246*h + 5 - 583*h. What is -2*l(g) + s(g)?\nAnswer: -g + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 - (-46242)\/(-858) - 1*(-2)\/26.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(128)*2)*3 + 4 - (sqrt(128) + -1 + 3 + sqrt(128) - (-2*sqrt(128) + -2)))**2.\nAnswer: -288*sqrt(2) + 593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5236 - -14935. Suppose 1135 = 2*d - p. Suppose -d - 1783 = 3*v. What is v rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.97 - -0.970000225. What is c rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 1\/5, 2\/21, 23, 0?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1689640 (base 10) to base 9.\nAnswer: 3154667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 5*r - 545, -3*r = -31*f + 36*f - 2835. What is the greatest common divisor of f and 228?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 1:42 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyq when three letters picked without replacement from {m: 2, y: 4, q: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/10*-3*200\/(-80). Let n be -15 + 19 + 1 + w. Factor -4\/3*q - 2\/3*q**n + 2.\nAnswer: -2*(q - 1)*(q + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/17 (b) 0.016 (c) 11\/3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -d - 3*r + 14, 77 = 5*d - r. What is the third derivative of q**2 + 3*q**2 + 11*q**2 - 5*q**6 - d*q**6 wrt q?\nAnswer: -2520*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 283 (b) -4 (c) 0.5 (d) 1 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 3, 2594, -2, 1, 2 in increasing order.\nAnswer: -2, 1, 2, 3, 10, 2594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 7:43 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 13*s - 10. What is the remainder when a(6) is divided by -4 + 17 + 0 - (-7 - -8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18967409 and 1328.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53257433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 s when four letters picked without replacement from nnnsnssnsnnnnn?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -148 - -15541\/105. Is a bigger than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 4*n - 688. Suppose 0 = 4*c + n + 28. Is 3765*(c\/(-15) + -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**0)**(-4\/3))**(-2\/11) assuming l is positive.\nAnswer: l**(8\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360616246.\nAnswer: 2, 127, 1419749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 23 + (54 - 22) + -99\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 3*w**2 + 2*w - 4. Let s be p(5). Suppose -5*j + 19 = -s. Solve 0 = j*q - 10*q - 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-14))\/(-2 - 4068\/(-2031)). Let u = m + 97. Which is the closest to -1\/3? (a) -3 (b) 0.4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)*3)\/sqrt(12) + (sqrt(117)*5)**2.\nAnswer: 3*sqrt(13) + 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2\/7 of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.148 + 0.078. Let m = -17.04 + 17. Let q = d - m. Round q 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 ydhhdhyzyyhhoz. What is prob of picking 1 z, 1 o, and 1 h?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 501 is divided by 112?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0\/(-1) + 12510\/6116 + 65\/(-6270).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.59 (b) 1 (c) 54\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*r - 3*r = 5, -5*i = -5*r - 45. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)*r*r\/r**0)**24*(r**(2\/5)\/r**(-1\/2))\/((r\/r**(-4\/3))\/(r**(-4)\/r)) assuming r is positive.\nAnswer: r**(-3073\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-28 - -23)*6\/15. Suppose m = 6*m - 15. Let x = 0.06 + 0.04. Which is the closest to x? (a) m (b) w (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -23b3 - -28?\nAnswer: -2388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 92*z - 823. Calculate t(8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-249)\/(-4) - 3\/12 is divided by (52\/(-8) + 6 + -3)*(-8 + 6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 18 + 18 = -5*t, 13*k - 21*k - 105 = 5*t - 34 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g**2 + 2*g**3 - 2*g**2)*(-g + 2*g + 0*g) + 19*g**4 + 92*g**4 - 20*g**4 to x + d*g**4 + m*g**3 + k*g**2 + v*g and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**4\/78 - 2*j**3\/39 - 3*j**2\/13 - 8*j. Factor u(g).\nAnswer: 2*(g - 3)*(g + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o**2 + 131*o - 157. Calculate the remainder when a(-35) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 25*n + 19. What is j(-2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -k - 8. Let c(n) = -2*n. Let a(b) = -2*b. Let h(g) = k*c(g) + 6*a(g). Let v(r) = r**2. Calculate v(h(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owwwwxwwlwowwo. Give prob of picking 1 l and 1 o.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-5)*b*b*b**(2\/9)*b\/b**(-4\/5)*b*b**2)\/((b*b**(-1\/2)\/b*b)**(-1\/2)*b\/(b\/b**(-1\/4))*b*b*b**(-2\/9)\/b) assuming b is positive.\nAnswer: b**(1147\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*i**4*j**3 - 5*i**4*j - 9*i*j**3 + 6*i*j wrt i?\nAnswer: -360*i**2*j**3 - 60*i**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-15)\/(-5))\/(-45)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - 0.3273.\nAnswer: 27.6727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 20 = -2*q, 5*q - 25 - 25 = 5*r. Let p be 2\/5 + (-26)\/r. Find the common denominator of 39\/14 and ((-1)\/(-8))\/(p\/278).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 1\/114*s**4 - 1\/57*s**3 - 2\/19*s**2 + 0 - 17*s. Factor y(o).\nAnswer: 2*(o - 2)*(o + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 513259741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 71 = d, -3*d + 46 - 18 = v. Solve -5*s - 12 + v = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/8 and 163\/294.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2 - 15*q + 7. Let s be b(7). Suppose -5*l + 2*l + 4*i - 5 = s, -i = 4*l - 25. Solve l - 2 = -3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -688, -994, -1806, -3376, -5956, -9798, -15154, -22276?\nAnswer: -31416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 4*z - 124 - 33 = 5*q + 15, 0 = -q - 2*z + 92 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -33*u - 33. Give y(-2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-12 + 8 + 2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69 - -93. Is 8\/u + (-572)\/(-3) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 410 (b) 2 (c) 45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.048 + 0.148. Is -0.41 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 6*v - 5. Let l be g(6). Let w be 3210\/21 - l\/35. Suppose -p = -3*b - 26 - 22, -b + w = 4*p. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 divided by -35.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h = 40*h. Let k(q) = q**2 - 8*q + 11. Let b(m) = -m**2 + 7*m - 10. Let u(a) = 7*b(a) + 6*k(a). Determine u(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 147 and 176014755.\nAnswer: 1232103285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**5 + 249*w**4 - 15123*w**3 - 46873*w**2 - 47376*w - 15876 = 0 for w.\nAnswer: -1, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3032*g - 16177 + 8090 + 8087 + 1096*g in the form k*g + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/9*(-78)\/(-520).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 5 = 4*s, 6*g = 9*g - 3*s + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14913826.38 rounded to the nearest 1000?\nAnswer: 14914000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 1742.\nAnswer: 12194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 13. Let b = y + -1. Let m be -4 - (-4 - -4)\/(-3). Sort -2, m, b in ascending order.\nAnswer: m, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7299 is divided by 149.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30974292933884 - 0.4.\nAnswer: -30974292933884.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14925706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 127\/4 (b) -3\/5 (c) 0.3 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3 - 9 = -3*r, -3*r = -2*h + 9. Suppose 2*c + 27 = -0*o + o, 0 = -4*o - h*c + 64. Suppose -o = -2*f - 1. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-1))\/(6\/156). Suppose r = 4*x + 5*k, 6*k - 6 = x + k. Calculate the smallest common multiple of x and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389074922 a multiple of 1486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -13*r - 1. Let k(v) = v**2 + 3*v - 6. What is the remainder when k(5) is divided by b(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cvvhaawe. What is prob of picking 2 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.1481 to one dp.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 405*w - 277*w + 1345*w.\nAnswer: 1473*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 8. Let t be (8\/(-8))\/(1\/q). Let j be (-3 - 52\/(-44)) + t. What is the second biggest value in j, -2\/7, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -9*h + 4. Let x(r) = -22*r - 13. Let d(a) = -6*a - 2. Let i(v) = -5*d(v) + x(v). Give 2*c(k) + 3*i(k).\nAnswer: 6*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/((v*v**(-4))\/v)*v)*v**(-12)*v)**41 assuming v is positive.\nAnswer: v**(-697)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -48*y**2 - 9*y - 7. Determine g(-1).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 5*z - 3*v, -18*z - v - 174 = 10*z + 82 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/12 + (-26)\/(-6). Suppose -4*u - 12 = -4*x, 2*x - u = -v*u. Suppose 6*n - 6*n**3 - 13 - 2*n**2 + 0*n**x + 10 + 5*n**2 = 0. Calculate n.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10580 is divided by 10476?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -438.\nAnswer: -438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 10*b - 4. Let y be x(10). Is (8\/(-6))\/(y\/1641) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3665, 2507, 577, -2125?\n\"Answer: -386*o**2 + 4051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -1)*2\/(-2). Let n be (y - -1) + 1 - 1. List the prime factors of (-2 + 1)\/(n\/(-65)).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 0 - 20. Suppose -5*b + 5*r = -61 - 74, p*b - r - 93 = 0. Suppose 5*o = -a + b, 5 + 3 = 2*o. Which is smaller: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 121083 (b) -0.4 (c) 2 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(0 - (-9)\/6). Sort 4, s, 0 in increasing order.\nAnswer: s, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/15? (a) -1\/2 (b) -3 (c) 1\/4 (d) 1 (e) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**3\/2 + 355*p**2\/2 - 177*p = 0.\nAnswer: 0, 1, 354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - 4) + (-21 - (11 + -22)) + 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*w + 538718 = 536342 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -245253, -490605, -736061, -981621, -1227285?\n\"Answer: -52*i**2 - 245196*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3197.\nAnswer: 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*sqrt(153)*-6 - (-2*sqrt(153) + 4)))**2.\nAnswer: -12096*sqrt(17) + 1080144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - j + 4 = 0, 3*o - o = 3*j + 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1059723.3 months to decades.\nAnswer: 8831.0275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49)\/(-2)*92\/(-161)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -106, -34589, 1, -5 in ascending order.\nAnswer: -34589, -106, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 8:12 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - (3 + -4 - 3). Suppose k = 4*o + 5*w - 17, -o = -4*o - 5*w + 9. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36368323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(4\/(-24))\/(6\/18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**3 - 17*m**2 + 4*m - 35. Let i be d(-9). What is the highest common divisor of i and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 - 44682*f - 4261824.\nAnswer: -3*(f + 96)*(f + 14798)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4683, -11612, -18541?\nAnswer: -25470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -5*t**5 + 15*t**4 - 5*t**3 - 15*t**2 + 10*t = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -17 - 3\/(3 + -6). Let m(u) = 295*u**2 - 280*u**2 - 21*u + 4*u + 8 + u**3. Let y be m(z). Solve 3*l + y = -4*a - 8, 0 = a - 5*l - 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/122 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5 = 9. Let p(j) = 2*j - 4. Let v = 16 + -10. What is the remainder when g is divided by p(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617698 to the power of 1\/2, to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -3*o**4\/5 + 2634*o**3\/5 - 79443*o**2\/5 + 568416*o\/5 + 650496\/5 = 0.\nAnswer: -1, 16, 847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*n + 101*n - 1463 = 44*n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57414 and 6168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39785242 and 14.\nAnswer: 39785242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 34, -0.3, -6, -2\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2754552 divided by -6.\nAnswer: -459092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (112\/(-140))\/((-6)\/5). Determine g, given that 0*g**2 + r*g**4 + 4\/9*g**3 + 0 + 0*g + 2\/9*g**5 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -35873, -34442, -33011, -31580, -30149, -28718?\n\"Answer: 1431*a - 37304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43013 (base 5) to base 16.\nAnswer: b43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.129 - -0.081. Round p to 2 dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.0844 * 0.4.\nAnswer: -2.43376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 5*r + 5. Let y(u) = -7*u - 2. Let d(j) = -3*j - 1. Let k(v) = 5*d(v) - 2*y(v). Suppose 10*p = 21*p - 11. Calculate p*o(a) + 5*k(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 6:51 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -505, -484, -441, -370, -265, -120, 71, 314?\n\"Answer: x**3 + 5*x**2 - x - 510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1195339213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*b + 15. Solve 3*c - 5 + b = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 6*g**3 + 49*g**2 + 52*g + 31. Let y(m) = 2*m**2 + 5. Calculate the remainder when y(4) is divided by r(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237477884 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -17*f + 140. Let y be t(7). Is 99\/5 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i + 93. Calculate x(0).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 827467, 827466, 827473, 827494, 827535, 827602, 827701?\n\"Answer: c**3 - 2*c**2 - 2*c + 827470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -141\nAnswer: -56.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65.7 + 17.3. Let w = b - 82. What is the closest to -1\/7 in -2, -0.4, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 18486, 37001, 55520, 74043, 92570?\n\"Answer: 2*a**2 + 18509*a - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/44 and -45\/187.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.4 + 7. Suppose 0 = 4*s + 5 + 3. Sort -4, s, k in descending order.\nAnswer: k, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 287 - 287. Let h be (-40)\/6*(0 + -3). Suppose -3*s - 192 = -4*m + s, -5*s - h = x. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 240?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22)\/8 - (-1)\/(-4). Suppose -5*g + 3*m + 225 = 0, -3*g - m + 135 = 3*m. Suppose 26*n = 17*n - g. Which is bigger: n or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 divided by -3?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/5)*b*b**(-3)*(b*b**(-1))**47 assuming b is positive.\nAnswer: b**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j**2 + 10*j**2 - 9*j**3 + 4*j.\nAnswer: -9*j**3 + 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 35\/2*j + 1\/4*j**2 - 539\/4 = 0.\nAnswer: -77, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 99\/477380?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 146*f**2 - 302*f - 2044. Determine n(-144).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 4*r = -41, -4*r - 36 + 2 = 2*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - o**2 - 2*o**2 + (-5*o - 2*o + 3*o)*(2*o + 3*o - 6*o))*(5*o**2 + 11*o**2 - 5*o**2).\nAnswer: 22*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 816 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 139\/462 - 1\/66. Let h = 19 + -37\/2. What is the third biggest value in d, -1\/3, h?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 235 + 22 = x, 2*x = -f + 550. Let d be 130\/x*(-9)\/(-15). Factor 0 + d*c**2 + 26\/7*c.\nAnswer: 2*c*(c + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 14 = -11*p. Solve -2*m - p*m + 4 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -20071.\nAnswer: -9\/20071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -387 in 15, -4\/5, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 + 46a57?\nAnswer: 46a47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 10:23 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 r when two letters picked without replacement from haahxaxxxahxxxarhxia?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-640972)\/(-72)*2 - (-328)\/1476.\nAnswer: 3, 5, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10890309557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249969691?\nAnswer: 249969691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*d + 17922 + 212538 = -34*d. Calculate the least common multiple of d and 112.\nAnswer: 56112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -9*(6\/(-9) + 1). Is 6 a factor of (36\/8 + t)\/(2\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**3 + 5*z - 5. Let p(u) = 5*u**3 + 8*u - 8. Let f be -7 + 4 + 9 + 2. Let d be (6\/(-7))\/(f\/(-112)) + -4. Determine d*v(o) - 5*p(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -251271\/26 - -9663. Find the common denominator of k and -115\/6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*6*(-3*((sqrt(325) + 1)**2 + 0)*-6 + (sqrt(325) + sqrt(325) + (sqrt(325)*1 + -3)**2 - sqrt(325))*-5 + 5).\nAnswer: -126090 - 9150*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-4)*3\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 - 5 + 2 - 2 - 1 + (-1 + 0 + 2)*(4 - 1 + 0))*(-3 + 5 - 22*j + 2*j**2 + 20*j).\nAnswer: -20*j**2 + 20*j - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -99, -445, -1021, -1827, -2863, -4129?\n\"Answer: -115*q**2 - q + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - 0.2. Let f be 5\/(8\/(-5) - (-63)\/105). Let q = 2.5 - -0.5. Which is the nearest to 1\/2? (a) z (b) f (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + (sqrt(252) + 5*1*sqrt(252) - sqrt(252)))\/(sqrt(9) - (sqrt(2187)\/sqrt(3) - sqrt(9))))**2.\nAnswer: 144\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, k: 1, e: 5, w: 5}. Give prob of sequence ej.\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, -5, 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -394, 24, 3, -3, 1, -6 in decreasing order.\nAnswer: 24, 3, 1, -3, -6, -394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**5 - 9*i**4 - 19*i**3 + 21*i**2 + 56*i - 48 = 0.\nAnswer: -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1891181 rounded to one dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + ((sqrt(432) + 0)*5 - (sqrt(432)*1 + sqrt(432))*2) + 4)*3)**2.\nAnswer: -216*sqrt(3) + 3897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 - 7*o - 2. Calculate the remainder when 29 is divided by g(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1119 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*c + 4*f + 4, 0 = -3*c - f + 3. Let h be (-4)\/18 + (-6)\/(-27). Suppose -3*d + 16 + 8 = h. Sort d, c, -2 in ascending order.\nAnswer: -2, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2184 = 13*w - 69*w. Solve 6*o - 15 = -w for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.3 - 17.7. Let c = 20 - 23.7. Let b = c - -0.7. Sort 1\/2, t, b in descending order.\nAnswer: 1\/2, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 656415869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 29*d + 2*d**3 + 11*d**3 + 0*d**3 - 48*d**2.\nAnswer: 13*d**3 - 48*d**2 + 29*d + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5270 and 4?\nAnswer: 10540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b = -29*b + 12. Solve 12 = 7*l - b*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 11:22 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -609, -2168, -4749, -8352?\n\"Answer: -511*r**2 - 26*r - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 18*i + 39. Determine k(-14).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4642, 107 in descending order.\nAnswer: 107, 1, -4642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 963107540 to the power of 1\/3, to the nearest integer?\nAnswer: 988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4708913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1982, -7944, -17892, -31832, -49770?\nAnswer: -71712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b + 3. Suppose -2*r + s + 8 = 0, 4*s = 2*s. What is the remainder when ((-124)\/r)\/(2\/(-2)) is divided by u(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 3:17 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438362 is divided by 29150?\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 44, 56, 62, 56?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 52 = 7*h - 4*z, -5*z + 45 = 5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, g: 6, w: 1, j: 5, z: 2}. What is prob of sequence gfz?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/(-10))\/((-3)\/(-2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 - ((-4)\/(-2) - -1). Suppose 52 = n + n - 4*d, h*n - 76 = 4*d. Calculate the least common multiple of n and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 6:11 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.181124 - -0.1915023. Round d to 4 decimal places.\nAnswer: 0.0104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kz when two letters picked without replacement from {r: 3, z: 13, k: 2}.\nAnswer: 13\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88579, -79987, -56661, -11233, 63665, 175401, 331343?\nAnswer: 538859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*o - 3 + 3)*(24*o - 25 + 25) - 3*o**2 + 0*o**2 + 4*o**2 in the form v*o**2 + j*o + q and give v.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-4)*(45\/(-10))\/(-9)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 397, 392, 375, 340, 281, 192, 67, -100?\n\"Answer: -j**3 + 2*j + 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 2:18 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -310 - -109. Let j = 95 + y. Let u = -105.999923 - j. Round u to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*g + 33*g - 10 = 0. Let k(o) = o**3 + 6*o**2 + 6*o + 7. Let q be k(g). Sort -1, 12, q, 3 in descending order.\nAnswer: 12, 3, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.08 and -629.\nAnswer: -630.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10540030 - 2?\nAnswer: -10540032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from offjojqofoofvjf. What is prob of picking 2 f, 1 v, and 1 q?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w = -2*w - 2324. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/2 of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5877805 a multiple of 433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -0*o + 4*w - 34, 0 = -5*o - 3*w - 18. Let p be 4 - (o + 1 - -3)*1. Let m(v) = 3*v - 9. What is m(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 101\/35 - 13\/5. Let a be (-2)\/5*30\/(-8). Put 0.5, d, a in descending order.\nAnswer: a, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 46\/9, 2\/5, -2\/5, 2\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 3*t - 7. Let f be c(-5). Find the third derivative of 4*r**5 - f*r**5 - r**5 - 2*r**2 - 6*r**6 wrt r.\nAnswer: -720*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 65.946395 to 2 decimal places.\nAnswer: 65.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101000 (base 2) to base 11.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1959 + 810*c - 1959 - 811*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6897, -13795, -20693, -27591?\nAnswer: -34489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0583757 and 0.117?\nAnswer: 0.1753757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(33\/(-55))\/(-3)*17.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 787 is divided by (-4)\/9 - (5 - 380\/45) - -37?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffeeffefeefe. Give prob of sequence efee.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -7*b**2 + 6*b - 6. Let v be d(5). What is the tens digit of (-2 - 1)\/3*v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*m - 21*m + m as a + n*m and give n.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -455, -459, -465, -473?\nAnswer: -483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 58202 and 14?\nAnswer: 407414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**2 + 3424*s + 17020 = 0. What is s?\nAnswer: -851, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -100*l**2 + 92*l**2 + 6*l**4 + 25*l**4 wrt l.\nAnswer: 744*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j**2 - 3*j + 2. Let i be p(2). Let n be ((-16)\/i)\/(1\/(-15)). Find t such that -n*t + 7 - 5*t**2 + 10*t + 8 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 457 = 35*l + 142. Solve c - 4*p + l*p = 4, -2*c + 3*p - 5 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 28*l - 33. Let b(r) = -56*r + 65. Let h(n) = 2*b(n) + 5*g(n). Let a(u) = -3*u + 4. What is -35*a(z) - 4*h(z)?\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.46 - 0.36. Let d = -8 + 11. What is the closest to y in -4, -0.4, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -3*i + 565, -2*w + i - 2*i = -226. Let v = -95 + w. Solve -v = -3*b - 3*j, -5*b = 2*j - 1 - 20 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 7*g**6\/720 - g**4\/3 + 3*g. Let j(v) be the third derivative of k(v). Let t(q) = q**2. Give j(t(o)).\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 25 = j, s - 50 = -3*j + j. Let o = 329 - 323. Suppose 0 = -5*f + b - o*b + j, -2*b + 22 = 5*f. Solve -v = -5*q - 3, -4*q - 6 = f*v - 6*q for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9419, -9417, -9413, -9407?\nAnswer: -9399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivii when four letters picked without replacement from nindddivvidvn?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -5*v + 67 + 168, 3*v = 3*c - 117. Suppose -a - l = -73, -a + c = -0*a - 5*l. What are the prime factors of a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2236*m + 0*m**2 + 2235*m - 2*m**2 + 3*m**2. Let d(t) = -3*t**2 + 0*t - 5 + 3 - t. Determine -d(z) - q(z).\nAnswer: 2*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5091\/45 + -2 + (-170)\/255*(-1)\/(-5)?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.5 - 3.2283. Let y = x + 110.6983. Let v = 111 - y. Are v and -1\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -8*c**3 + c - 17. Give d(1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74 - ((4 - -1) + (-13 - -29 - 3) + -24)\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20888160 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/5 of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 4:49 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 12:40 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 856 and 203178769?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 256.9 rounded to the nearest ten?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -211\/1260 and -89\/504590.\nAnswer: 63578340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 56674030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 1:14 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 55b (base 14) in base 13?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w + 2*u + 3, 2*w = 4*u - 8026 + 8020 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = b + 4*i + 16, -5*b - 2*i = 18. Let h = b - -4. Let x = 2 - h. Solve 2*f + 17 = 3*p, 1 + 1 = x*p + f for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 9)\/((-882)\/(-12)).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323042185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3772?\nAnswer: 2, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t**3 - 59855*t**2 - 60472*t**2 + 120327*t**2.\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 31*z + 156. Let u be v(19). Suppose 0 = 2*d - u - 325. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 6*o - o)*(3 - 3 - 2).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -483 - -2045. What are the prime factors of u?\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 6:40 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*u + 2*m - 32, -5*u + 20 = -5*m. Suppose -u*h + 3*h + 252 = 0. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111001 + -10011?\nAnswer: -1001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -33438528 divided by 432\nAnswer: -77404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -723, -832, -943, -1056, -1171, -1288, -1407?\nAnswer: -1528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-44)\/(-9) - (-2)\/18. Suppose -6 = -h*s + 4. Suppose 2*o - 48 = -4*l + s*l, l - 51 = -2*o. What is the greatest common factor of o and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**4 + 2*r**3 + 73030*r**2 + 510606*r + 437580 = 0. What is r?\nAnswer: -187, -6, -1, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**3 + 6*s**3 + 5*s**3)*(0 - 5 + 4)*(-5 + 21 + 5).\nAnswer: -147*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-742)\/(-21) - -5 - (-2)\/(-6). Calculate the greatest common divisor of 24 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -496 - -496. Let n(f) = 2*f - 2. Let y be n(4). Let c(j) = -j + 8. Let z be c(y). What is the closest to r in -0.3, 4, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*p - 1506 = 225*p - 177 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 45*m**2. Let a(c) be the third derivative of -23*c**5\/60 + c**4\/8 - 2945*c**2. What is a(x(n))?\nAnswer: -46575*n**4 + 135*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12398 + 15848. Let x = 1412367\/50 - h. Find the common denominator of x and 107\/22.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3*8\/(-16))\/((-180)\/24). Let m*l**2 - 8\/5 + 7\/5*l = 0. What is l?\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330351368 divided by -538?\nAnswer: -614036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0132543 to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 5 (b) -1\/3248 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 5)*(7*y**2 + 0*y**2 - 2*y**2)*(y - 4*y + 4*y) - 88*y**3 + 299*y - 299*y in the form u + k*y**3 + h*y + a*y**2 and give k.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 3*r + 144. Let s = -20 - r. Factor -3*l**2 + 12*l - l**2 - s*l - 4*l**3.\nAnswer: -4*l*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2031962847 and -0.07.\nAnswer: 2031962846.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 710948275*k**5 - 2939226*k + 149.\nAnswer: 14218965500*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 7*a**2 - 6*a + 1. Calculate the remainder when u(3) is divided by (-4 - -1)\/(17\/(-51)*1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-44) - (-3054)\/22. Is 0 + i - (2 - 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (3\/((-45)\/7071))\/(50\/(-1750))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*((-6)\/4 - -2). Let x(d) = d**3 + d**2 - 5*d + 1. Suppose -37 + 16 = 7*o. Let r be x(o). Put 4, r, -5, q in descending order.\nAnswer: 4, q, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(1\/4))**(-7\/9)*(((n**(-8)\/n)\/n)\/n*n*n)\/(n*n**(-13)) assuming n is positive.\nAnswer: n**(29\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**3 - 10*h**2 + 12*h - 25. Calculate j(5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t + 2*t)*(4*t**3 + 72*t - 72*t) - 4 + 4 - t**4 - t - t**4 + t.\nAnswer: 6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**4 + l**4 + l**4)*(110*l + 86*l - 55*l) - l - 2*l**5 + l.\nAnswer: 139*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 653004403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*(0 + (-2)\/(-20)). Sort -0.3, w, 4\/9, -4\/7.\nAnswer: -4\/7, -0.3, w, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 108.11 - 108. What is the third smallest value in -5, u, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**2 + 9822650*j - 24121113255625 = 0.\nAnswer: 4911325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1045363649?\nAnswer: 11, 61, 141629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 5:41 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 872 and 2725?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21789 > 21790?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22353, 28314, 34275, 40236, 46197?\nAnswer: 52158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 4*m - 28 = 0, 3*f + f + 2 = -2*m for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 587 and 279736?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2\/22521, 0, -2.3, -4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 43\/3*t**3 + 0*t**4 + 0*t**2 - 15\/7*t**7 + 0*t + 91 + 0*t**6 + 0*t**5. Find the third derivative of g(i) wrt i.\nAnswer: -1800*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 140 - 8. Calculate the highest common factor of 88 and q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 26*t - 101. Let w be c(5). Let h(z) = -z**3 + 5*z**2 - 7*z + 6. Give h(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -130736859 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 797 - 130 = 29*p + 203 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-35) + (-12)\/15\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137804, -274773, -411744, -548717, -685692, -822669, -959648?\nAnswer: -1096629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 779 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 - 13 - 1925*r**3 + 1918*r**3.\nAnswer: -7*r**3 + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 375.6 and 2.9?\nAnswer: 1089.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence or when two letters picked without replacement from {u: 1, z: 1, o: 1, m: 2, r: 1, b: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 613, 2295, 4827, 8209?\n\"Answer: 425*g**2 + 407*g - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -28. Suppose -2*m + 291 = s, -2*s + 351 = 5*m - 379. Suppose m = l*k - 12*k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 187, 421, 581, 631, 535, 257, -239, -989?\n\"Answer: -6*o**3 - o**2 + 279*o - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4107 + -3799. Does 44 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/73, 66, -73, 1\/3, -0.01, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 0. Suppose -j*t + 2*u = -36, -3*u + 2*u = 5*t - 60. Solve l - 3*l + t = -w, -2*l - 4*w - 8 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/9614 and 61\/3800.\nAnswer: 961400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -17*t**2 - 22*t - 27. Let p(w) = 8*w**2 + 11*w + 13. Let n(h) = 6*g(h) + 13*p(h). Is n(-7) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/3))**41*(a\/a**2*a*a)\/a**14 assuming a is positive.\nAnswer: a**(-80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 626 + -624. Suppose -5*p - i - 2*i + 10 = 0, -6 = -3*p - 5*i. Differentiate -5 + 3 - 3*w**p + w**d with respect to w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 3*x**2 + 7*x + 6. Let s be -2 + -2 - (4 - 20). Let k be ((-6)\/4)\/(6\/s). What is the tens digit of h(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 15 = -5*s, 239*s + 4*c = 243*s + 24 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57905*y**3 + 108*y - 321*y + 103*y + 111*y.\nAnswer: 57905*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011 + -110?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*h**4 + 6*h**2 - 1745?\nAnswer: -16*h**3 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 24 = -220*n + 214*n, -9*n + 42 = -4*u for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 64*a**3 + 30*a**2 + 87*a - 9. What is the ten thousands digit of y(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 12:00 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2. Let a(q) = -12*q - q**3 + 0*q**3 + 11*q**2 - 1 + 2*q**3 + 5. Let b be a(-12). Let h(r) = -b*r - r + 3 - 3. Give n(h(k)).\nAnswer: 50*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 5 + 6)*(2 - 2 + 2*a) as u*a + z and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7517 + 932483. Round d to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64 + (-18)\/(-8)*(-6288)\/(-1179)\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6854.316 months?\nAnswer: 57.1193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 6) in base 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -67 (c) -0.5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 1. Let t(w) = -w**3 + 2*w - 4*w - 3 + 4*w + 6*w**2. Let j(a) = -6*d(a) + t(a). Let k be j(7). Put -1, k, 4 in ascending order.\nAnswer: k, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 + -44. Suppose 4*q + z = -5*m, -2*q + 0*q - 16 = -4*m. Solve -3*y - m + 8 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 + 48.6. Let d = 0.9 + 0. Let g = d - -1.1. Which is the second smallest value? (a) 2\/21 (b) g (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b + 19. Let u(i) = i - 21. Let h be u(10). Let x be n(h). Suppose 3*f - x + 2 = 0. Solve 3*o - z - 13 = 0, f*z + 2*z + 7 = 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 2 (c) -115 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 14*q - 728. Let i(s) = -10*s + 737. Calculate -2*b(z) - 3*i(z).\nAnswer: 2*z - 755","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -14*h**2 + 81*h + 12. Let y be c(6). Let w(x) = x**2 + 15*x + 13. Let u(i) = -i**2 - 14*i - 12. Let n(f) = 6*u(f) + 5*w(f). Calculate n(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7193571*k**3 + 18344226?\nAnswer: -21580713*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t = -18*t + 20. Solve -5 = -h + 3*f, -t*f = h - 3*h + 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (t - 3*t + 13*t)*(0 - 1 - 7)*(2*t**2 - 2*t**2 - 7 - 3*t**2) in the form v*t**3 + q*t**2 + u + z*t and give v.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -785200 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**5 - 532*y**4 - 3878*y**3 + 15328*y**2 - 10920*y = 0 for y.\nAnswer: -10, 0, 1, 2, 273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 10*j + 7*j. Is (-42 + -5 + 0)*(-7 + j) a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -522 + 142 = -4*f. Let j = f + -98. Sort j, -20, -4, -1 in descending order.\nAnswer: -1, j, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 18*u - 18. What are the prime factors of a(-11)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1013867+0.2\nAnswer: -1013866.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2546 - 5959 = 265*m + 8985 for m.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -157 + 158. Let s be 70\/52 - 28\/(-182). What is the nearest to t in s, -2\/21, 2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/20)\/((-1)\/(-10)). Let r(u) = -u**2 - 13*u - 34. Let z be r(-9). What is the greatest common divisor of z and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 1.5, 0.096, -81?\nAnswer: 0.096","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1804 (b) -0.04 (c) -1 (d) 7142\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*b = 5699 + 7757. What are the prime factors of b?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26776*z**3 + 2881*z**2 - 4*z.\nAnswer: 160656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136196?\nAnswer: 2, 79, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + cb?\nAnswer: cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54999 = 851*j + 22*j for j.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319440 + 319440 + 3*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1163919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 510 divided by -439?\nAnswer: -510\/439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*t - 17 + t**2 - 60 + 16 - 20.\nAnswer: t**2 + 66*t - 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -p - 1438. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8339662 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: Let n(b) = 27*b - 1023. What is the smallest common multiple of n(38) and (41 - 5)\/(12\/8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 y when four letters picked without replacement from {y: 3, h: 3, s: 1, k: 4}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8636088*0.03.\nAnswer: 259082.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10.9*0.208\nAnswer: 2.2672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 304239 and 155751?\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39407239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -64.18 + -1.32. Let m = h - -65.3. What is the biggest value in -1\/8, 0.4, -0.1, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pbpbppxprrrxblp. Give prob of sequence rprp.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b - 17564 + 17564.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y + 51597 = -2*u + 51673, 5*u + 26 = y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82761, 82763, 82765?\nAnswer: 82767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(66)*-6*-1)\/((((sqrt(54) - sqrt(108)\/sqrt(2)) + sqrt(54))\/sqrt(9) + -1*sqrt(96))*-4).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Product of -28462176 and 0.4.\nAnswer: -11384870.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*g**3*i**2 - 8*g**3 - 3*g + 476*i**2 wrt g?\nAnswer: 6*g**2*i**2 - 24*g**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 10. Let y = c + 3. Let d be 1\/((-5)\/y)*-5. What is the closest to -1 in d, -2\/15, 3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*3*sqrt(19) - (sqrt(19) + sqrt(19) + 0)*-2.\nAnswer: 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeededee. What is prob of sequence eedd?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(170) - (5*(sqrt(170) + (1*sqrt(170) - sqrt(170))) + sqrt(170)))\/(sqrt(120)\/(-2*sqrt(12))).\nAnswer: -50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300 (base 6) to base 3.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -257 + 257.1. Sort 2\/11, 20, o in descending order.\nAnswer: 20, 2\/11, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.094 in -3.07, 1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 68*i**3 - 9512*i**2 - 1120*i.\nAnswer: 4*i*(i - 140)*(17*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -0.01 (c) 5.83 (d) 2 (e) -4 (f) 5 (g) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r - r)*(5 - 3*r**4 + r**4 + 3*r**2 + 0).\nAnswer: 2*r**5 - 3*r**3 - 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5591554, 5591554, 5591556, 5591560, 5591566, 5591574, 5591584?\nAnswer: 5591596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 2*p**2 - 72*p + 26. Determine a(-8).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/45 of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1129249169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*u - 0. Let k be 4*(u + (-5)\/(-20)). Put 1\/2, 4, k in ascending order.\nAnswer: 1\/2, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*p - 4*o - 6 = 43*p - 4, 0 = 4*o - 20 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2194642 + -0.075751.\nAnswer: -2194642.075751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k + u + 53, 2*k - 985 = 5*u + 1027 - 2053 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m + 9. Let k be v(-6). Calculate the remainder when (6\/k)\/((-2)\/50) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 51119*w - 460165. Determine y(-9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 4. Calculate c(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 plus 9071?\nAnswer: 9136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -162 divided by -27?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 21 = -s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 11871 = 3*h + h, 2*n = -2*h + 4750. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5386*r - 2 + 2 - 5396*r.\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 610 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 198203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 83435 and 45100.\nAnswer: 1668700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07081 and 0.1.\nAnswer: 0.007081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 595 + -592. Let s(g) be the third derivative of 0*g**n - 1\/140*g**7 + 0*g + 0 - 4*g**2 + 0*g**4 + 1\/40*g**6 - 1\/40*g**5. Suppose s(p) = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 359979573?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 9 = 13. Calculate the remainder when 86 is divided by z + (-14)\/6 + (-1729)\/(-57).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 2, -2\/5 in increasing order.\nAnswer: -2\/5, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4402 + -4?\nAnswer: -4406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 12*o - 52. Let l be s(5). Suppose 0 = -2*h + l*h - 16674. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/4, -0.39, 1, 195?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/7 (b) 3\/7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -21*25\/5*(-4)\/30. Let f be (s\/(-5))\/(82\/(-615)). Calculate the greatest common divisor of 336 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 13*l + 9. Let h(p) = -6*p - 4. Let d(i) = 4*g(i) + 9*h(i). Let w(v) = -18*v + 2 - 35*v + 53*v - 3 + 147*v**2. Determine d(w(f)).\nAnswer: -294*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-19)\/9 - -2) + (-407)\/(-99). Let g be (-24)\/s*(-88)\/16. Solve -4*c + 5*j = -g, -4*c + 2*j + 13 = j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 764286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (34 + -14 + -13 - 3) + (47 - 0).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in eleven tenths of a minute?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 + -4. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*i - 1 + 299*i - 80*i + 1 - 147*i + (-6 + 3 - 2)*(4*i - 3*i - 5*i) in the form s + f*i and give f.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gh when two letters picked without replacement from {g: 4, q: 3, h: 4}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/8 and 34\/9351.\nAnswer: 74808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**2 - 8*a**4 + 22*a**4 - 13*a**4 - 2*a - 1 to k*a**3 + o*a**4 + r + n*a**2 + x*a and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - l**2 + 7*l**2 + (4*l - l + l)*(2 - 2*l - 2))*(8*l**2 + 10*l**2 - 8*l**2).\nAnswer: -20*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 510 - 1107. Let l = a - -599. Solve -h + 2 = -0, -4*u + l = -h for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/7*1232\/264?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00023817 rounded to six decimal places?\nAnswer: -0.000238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-10) + 47\/5. Let p(s) = s - 7. Let o be p(h). What is the derivative of 5*c**2 + 3 - 11*c**o + 1 wrt c?\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 948.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l + l - l**2 + 2*l**3 + l + 2*l to w*l**2 + v + o*l**3 + a*l and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*f + 2*h, 4*f - 73 = 3*h - 138 + 61 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1709*j + 2*j**2 + 837*j + 872*j.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**5\/15 + 5*s**4\/6 + 4*s**3 - 4*s**2. Solve g(u) = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 2\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5380 divided by 5.\nAnswer: -1076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1)\/o**(-4))\/((o*o\/(o*o**(-1\/4)))\/o)**2)**(-1\/14) assuming o is positive.\nAnswer: o**(-5\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*k - 10*k + 5*o, 3*k - 2*o = -6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**4\/24 + w**3 + w**2. Let d be u(7). Calculate the greatest common divisor of d and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18515172 + -8385172. What is f rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 22. Let b(p) = 2*p**2 + 6*p - 17. Suppose 0 = 6*t - 2*t - 20. Let x be b(t). What is the highest common factor of x and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 14*y**2 - 5*y + 24. Let v be q(18). Suppose 0 = -n + 6*n + m - 4440, -5*m - v = -5*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i**3 - 19*i**3 - 15*i**3 + 27*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 81542, 81527, 81502, 81467, 81422, 81367?\n\"Answer: -5*l**2 + 81547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 z, and 1 i when four letters picked without replacement from czzzzzzizezzzzvzziz.\nAnswer: 91\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1167*m**3 - 241*m**2 + 508150*m wrt m?\nAnswer: 7002*m - 482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 12*y + 22. Let m be w(-8). Let j(r) = r + 38. Let s be j(m). Suppose 40 = -4*i - 5*x, 0 = -4*i - 3*x + x - s. Sort 5, 4, 1, i.\nAnswer: i, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 9*o + 5. Let x(b) = 28*b + 16. Suppose 2*c = 2*w - c - 5, -2*w - 2*c - 20 = 0. Give w*x(j) + 16*k(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 896646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -s**3\/3 - 3*s + 3. Differentiate k(m) with respect to m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26\/11, 11, -0.3, -1\/15 in decreasing order.\nAnswer: 11, 26\/11, -1\/15, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 657*g + 7099 = -3938 - 2554 - 3491 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*f + 2578 - 2156 = -81*f - 3346 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - -32. Let z = 75 - n. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -21*s**2 - 4*s + 20. Let z(t) = 11*t**2 + 2*t - 9. Let i(k) = -4*f(k) - 9*z(k). Calculate i(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*4\/(-8)*-6. Suppose 3*w = u + 3. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5566957 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1470 = -30*b + 2100. Calculate the remainder when b is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 23*y - 24. Let t be p(24). Suppose -5*x + k = -10*x + 254, t = 2*x - 3*k - 88. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8*(-1)\/5607)\/((-407)\/23199) - (-3)\/(-63)?\nAnswer: 3\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of 0*x**4 + 5\/2*x**3 + 0*x + 0 + 9*x**2 + 7\/60*x**5. Differentiate b(a) wrt a.\nAnswer: 14*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -w**3\/6 + 3*w**2 + w. Let i be a(6). Suppose -1 = -h + 1. Solve -n - 16 = -3*o, -h*o - 5*n - 2 - 10 = i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369 is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1785944*f**3*n**2 + 14419*f**2*n**2 + 11*f*n**2 - 2*f wrt f.\nAnswer: -10715664*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/(3*-4) - 283\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15170291.\nAnswer: 79, 192029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2 - 6*b**2 + 5*b**3 + b - 3 - 2*b + 0*b**3. Let a(g) = -6*g**3 + 6*g**2 + 2*g + 6. Let o(w) = -4*a(w) - 5*n(w). Does 21 divide o(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10081 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-10))\/(33\/(-110))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p + 20*p - 631 = o, -841 = -4*p + o. Let f = p - 206. Solve f*t - 3*t - 2 = 5*z, -2*t - z - 7 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/12 - 1)\/((-15)\/(-135)) - (-58 + 33)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -42*x + 1. Let p(o) be the third derivative of 7*o**4\/8 - o**3\/6 + o**2 + 11*o - 44. What is -3*g(r) - 5*p(r)?\nAnswer: 21*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5016401 to the nearest integer?\nAnswer: 2240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yrry when four letters picked without replacement from yyyyryyr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69331323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -184*g**2. Let j(q) = -q**2 + 239 - 239. Determine c(j(b)).\nAnswer: -184*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.083 + -61.083. Let v = -73 - o. Which is bigger: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 6 = -26. Suppose -d*f = z - 10, -f + 30 = 3*z - 0. Calculate the remainder when 18 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: Solve a = -9*u - 37, -3*u + 30764210*a = 30764215*a + 17 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4304 = -4*s + 9*s, -4*s = 4*h - 8552. Does 42 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4737290 (base 10) to base 12\nAnswer: 17055a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/10 and 31\/3738?\nAnswer: 18690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n + 3*n + 21 + 2*n + (4 + 0 - 2)*(-n - 3*n + 29*n) to the form u + z*n and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63 - -59. Let j(f) = -f + 1. Let m be j(2). Sort m, o, -3 in decreasing order.\nAnswer: m, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 4 = -5*n, 5*n + 32 = -2*h. Let l(i) = -5*i**2 + 5*i + 1. Let m(t) = 4*t**2 - 4*t - 1. Let a = -208 - -201. Give a*m(k) + h*l(k).\nAnswer: 2*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**3\/3 + 8*q**2 + 6*q. Calculate the smallest common multiple of f(-6) and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 4*j + 2*g - 5, 5*g - 55 = -5*j. What is the units digit of -15*(-12)\/j + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.28 rounded to one dp?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31.32 - -0.32. Let l = -4.9 - v. Let b = -25 + l. Round b to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 + 29.5. Let k = -0.5 + t. Is k <= 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 9:24 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 2042167558798.\nAnswer: 2042167558797.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by (3\/(-6))\/((-5)\/(1800\/6))?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.06373 nanometers to millimeters.\nAnswer: 0.00007506373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**2 - 91*u + 251. Let a be g(3). Suppose -1\/6*l**4 - 1\/6*l**a + 0 + 1\/6*l**2 + 0*l + 1\/6*l**3 = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 11.2. Let s = 0.1 - 0.1. Let f = 4 + s. Which is the nearest to -1? (a) f (b) -0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11101 + -12?\nAnswer: -11120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 763739966?\nAnswer: 2, 11, 34715453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -6*f + 0*f**2 + 1\/3*f**3 + 0. Let s(y) = 4*y. What is s(a(d))?\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 422 - 15*n - 422 as z + a*n and give a.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - p + 90 = 0. Let f = -16097 + 16102. Solve -p = f*w + d - 2*d, w + 10 = d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 4. Solve -v - 2*r + 9 = -3*r, 19 = v - o*r for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -y - 5*r + r, -4*y + 42 = r. Suppose -6*v - 27908 = -y*v. Let x = -69709\/10 + v. Find the common denominator of x and 13\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -143, -55, -115, -5 in increasing order.\nAnswer: -143, -115, -55, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -951, -7593, -25661, -60879, -118971, -205661, -326673, -487731?\n\"Answer: -954*g**3 + 11*g**2 + 3*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-40)\/(-5))\/(-24).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -1\/3, -8.19?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7144, 5.4, 1\/3 in descending order.\nAnswer: 5.4, 1\/3, -7144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-18)*(-4)\/10.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/92 and -79\/105576.\nAnswer: 2428248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165 and 255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -154504160 + 20828?\nAnswer: -154483332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01333556 rounded to three dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6102 - -6130. What is the lowest common multiple of h and 400?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 6*p + 20. Let a be 210\/20 - (-2)\/p. Solve -4*r + a = 5*n, 0 = -4*n + 2*r + 2 + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 1278\nAnswer: -2\/639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 428.\nAnswer: -85.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-171)\/95*(-15)\/9. Solve c*n + 11*n - 28 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (9 - -1) - (-4 + -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 122.9975944 to 1 dp.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -2\/67 (c) -3\/5 (d) -30560.6 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -139, -500, -1101, -1936, -2999, -4284, -5785?\n\"Answer: i**3 - 126*i**2 + 10*i - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**2 + 5 - 4 - 3*f**3 + 1 + 8*f**2 + 6*f**2 - 10*f to h*f**3 + g + m*f + q*f**2 and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-246)\/(-468) + 2\/3. Let k = 4\/13 + c. Which is smaller: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 - (-35 - (-36 - -37))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6384 = -12*u + 4*u. Suppose -4*d + 2*n + 642 = 0, -5*d - n - n = -u. What is the greatest common factor of 20 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230*k = 4*h + 233*k - 36, 2*h = -3*k + 18. Which is the second smallest value? (a) -2 (b) h (c) 1 (d) -0.2 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-14))\/(72\/(-588))\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 106374813?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 50 = -2*b + 35, -2*h + b = -5. What is the nearest to -3 in 0.1, h, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 - 52 + 56)*(4 - 1 + 0)*(15*m - 105 + 105).\nAnswer: 1800*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 198831784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 divided by 3.\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.86, -3, 2\/5, 1.2443?\nAnswer: -0.86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 8*w**2 + 43*w + 13. What is the hundreds digit of p(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110021021 (base 3) in base 2?\nAnswer: 10001011110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from ummwmmmmmmmmmm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 2*b - 6 = 5*b, 5*b + 22 = -o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 66, 122, -8 in decreasing order.\nAnswer: 122, 66, 1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/((-8)\/46)*(0 - 51). Suppose -7*d + 360 = -m. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*v**2 - 78*v**2 + 19*v**2.\nAnswer: -45*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 35126 and -5.\nAnswer: -175630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 7*p + 5. Let s be u(-6). Suppose 283*q = 2*i + 280*q - 2, -3*q + 13 = -5*i. Sort i, 30, s in increasing order.\nAnswer: i, s, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 + 2 - 5)*(-1 - 2 + 5)*(-3*t**3 - t**3 + 3*t**3).\nAnswer: -42*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 3)\/((-2)\/40). Suppose -12*q + 158 + 34 = 0. Calculate the highest common divisor of q and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 11:36 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 4:30 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a hour in minutes?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y + 9, -2*a - y - 14 + 10 = -7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -s + k - 4, 2*s = 3*k - 16. Let h be (128\/(-160))\/(1\/s). Let d(m) = m**3 - 5*m**2 + 5*m + 3. What is d(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**3 + k**2 + 2. Let j(m) = -m**3 - 20*m**2 - 2. What is j(s) + x(s)?\nAnswer: -3*s**3 - 19*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(-3)\/(-9)*(-28 - -4). Suppose -n - y = -9*n. Differentiate 16 - 2*p**n + 12*p**2 - 4*p**2 + 18*p**2 wrt p.\nAnswer: 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (1 + (2 + -27 - -37)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j + 4*j + 2048. Suppose -2*k + j = 2*k. Suppose 3*m - 92 = -2*n, 0 = 4*m + n + 3*n - k. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*(-133)\/380*(-10)\/3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -l + 3*p, -l + p = 2*l - 62. Let v(r) = 20*r - 20. Let t be v(10). What is the greatest common factor of l and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9a3 + a4?\nAnswer: -8aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31359 is divided by 104?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*h**3 + 167*h**3 - 656*h**3 + 161*h**3 + 165*h**3.\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -718 - -785.4. Let n = u - 67. Which is the third smallest value? (a) 0.5 (b) n (c) -5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 52 = -32. Suppose -16*j = -h*j. Suppose 0*z = -4*z - r - 10395, j = -2*z + 2*r - 5210. What is z rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u - 5*u - 4*u**4 + (5*u**2 - 2*u**2 - 2*u**2)*(-17*u**2 - 123 + 123).\nAnswer: -21*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -33*(0 + 0 + -2). Let i = -45 + c. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-118)\/(-4) + 3806\/(-692). Calculate the greatest common divisor of 84 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/27 of a week in seconds?\nAnswer: 44800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 1:51 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 6*p**2 + p - 1. Let d be s(1). Solve y = d*y - 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*d + 149 = -0*w, 5 = -5*d. Is 12 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4494 = -58*y - 5767 + 11189 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5.7 bigger than -582?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 31 (b) -5 (c) 1\/3 (d) 3\/5 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (-13 - -12) - (0 - (3 + 2)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - r**2 + 3*r + 3. Let o(t) = -3*t**3 - 2*t**2 + 10*t + 9. Let n(d) = 21*c(d) - 6*o(d). Factor n(a).\nAnswer: -3*(a - 1)*(a + 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11.11 in 29, -461, -1\/5, -0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*f + 172, -20 = -d - 12*f + 9*f. Let p be 3\/8 + (-4)\/d. Suppose -59 = 4*b - 39. What is the fourth biggest value in -4, p, -0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.0514, -0.5, 2\/3 in descending order.\nAnswer: 2\/3, 0.0514, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409310 is divided by 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1174, -2338, -3496, -4648, -5794, -6934, -8068?\n\"Answer: 3*h**2 - 1173*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-8) - 3433\/4. Let h = 958 + b. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 63829851028.\nAnswer: 63829851028.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 225 + -225.74. Let r = k - -2.04. Put r, -3\/2, -2\/21 in descending order.\nAnswer: r, -2\/21, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 48600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -148 + 155. Solve 0 = -0*p + c*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1442081 and 36423.\nAnswer: 1349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 10. Let a be z(4). Let p be 72\/(-20)*80\/a. What is the greatest common factor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 77 and -6.\nAnswer: -462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -6*d + 10. Let c be t(1). Suppose -3*v + 28 = c*v. Sort -18, v, 0, -5.\nAnswer: -18, -5, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -1, -2\/5, -41, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.5335 centuries in years?\nAnswer: 8553.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 104 + -111. Let d(k) = -k + 6. Determine d(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -391b9 (base 12) to base 4.\nAnswer: -103003131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqqa when four letters picked without replacement from jajpajaqaqj?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**3 + 28*g**2 - g - 19. Let a be m(-14). List the prime factors of (1900\/a - 0)*-2.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.6259 + 19.6131. Let h = 10.7 - 28.7. Let o = h + f. Round o to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13\/5 - -109\/40. Let o = 3099 - 3094. Which is the nearest to -13? (a) -0.1 (b) t (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-4)*(11 + -5). Let r(w) = -w - 3. Let u be r(f). Suppose 0 = -4*v + g + 15, u*g = -3*v - g + 13. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 347993*p**2*v - p*v + 61*p - 2*v + 37 wrt p?\nAnswer: 695986*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10 - ((-3 - 5) + -13 + (47 - 8))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*b + 11 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 10374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 1. Let x(b) = -123 + 2*b**2 + 4*b**2 + 126 + b - 4*b**2. What is 3*n(s) - x(s)?\nAnswer: -2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -293 - -2?\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 15. Let q(x) = 3*x - 25. Let b be q(5). Let j be s(b). Let t = j + -3. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbblenrnllblr. What is prob of picking 1 l and 1 e?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -233755962.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4420174608 to the nearest integer?\nAnswer: 66484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 417 + -60. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 6:02 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -3*d**6\/40 - 17*d**5\/60 + 3*d**4\/8 + 2279*d**2. Let v(a) = -5*a**3 - 9*a**2 + 5*a. Give -6*q(t) + 11*v(t).\nAnswer: -t**3 + 3*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.0718*17185\nAnswer: -1233.883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -1.88. Let g = d - -0.120088. Round g to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0121 and -15.9.\nAnswer: -15.8879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) -9 (c) -4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/((-1)\/((-3)\/6)). Suppose -p = 5*b + 3, i*b - 3*p - 9 = 2*b. Let g(q) = -2*q**2 + 3*q**2 + b*q**2. Let r(j) = j. Give g(r(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 2 = l. Let d(v) = -v**3 - v**2 - v + 1. Let y be d(-2). Let s(j) = 3*j + y + 1 + 0 + 2. Give s(l).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c1 - 5?\nAnswer: -1c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 2. Let x be j(8). Let k be (-108)\/(-30) + (-4)\/x. Solve -2*r + 10 = -k*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 108000*y**2 - y + 5. Let l be f(5). What is l rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -460 or -715?\nAnswer: -715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (52804\/(-16))\/((-1)\/4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in -0.5, -4\/9, -0.0603?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -71 and 0.08.\nAnswer: -5.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 288*p. Let o(g) = -8*g. Give o(i(m)).\nAnswer: -2304*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 774 - 1158. Let i be (1\/12)\/(4*60\/d). What is the nearest to 0 in -0.1, 3, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - (-548)\/16)*-4. Let a = r - -207. What is the remainder when a is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -952, 3, 27, -7, -3 in increasing order.\nAnswer: -952, -7, -3, 2, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -22 - 22015*q + 30*q**2 + 22016*q - 31*q**2. Give m(-6).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13362 + -2?\nAnswer: 13360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -17551, -39634, -61717?\n\"Answer: -22083*a + 4532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 25 = -4*y - 2*m, -5*y = 4*m - 41. Suppose 1 = y*b - 14. What is the second derivative of -5*c**3 - c - c + b*c**3 wrt c?\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d + 33. Give i(0).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 + -51. Let i = 2 + u. Let z = 1243.8 + -1244.8. Is i bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2533 - 0.0467. Which is the third smallest value? (a) 1\/3 (b) y (c) -0.5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 138936 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 205, 20 in decreasing order.\nAnswer: 205, 20, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 6 + 10 - 5*v - 7. Calculate g(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -1\/2*j**3 + 0*j**2 + 1\/20*j**5 + 3*j + 0*j**4 + 0. What is the second derivative of x(t) wrt t?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-3))\/((-12)\/12942) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.4 - -2. Let y = 8 + -14. Let x = y + 7. What is the nearest to 1\/2 in 2\/17, x, j?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -8*t**3 + 5*t**2 - 5*t - 5. Let x(m) = -15*m**3 + 9*m**2 - 9*m - 9. Let r(p) = -10*p**3 + p**2. Let i be r(1). Give i*l(n) + 5*x(n).\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 634, 2589, 5868, 10477, 16422, 23709?\n\"Answer: r**3 + 656*r**2 - 20*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -57 + 31 + 0 + 3*a - 47. Give y(16).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 436599.4 kilograms?\nAnswer: 436599400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10621, -84952, -286719, -679642, -1327441, -2293836?\nAnswer: -3642547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-2) - 4988\/60. Let a = q + 87. Which is smaller: a or 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/8 - 306808\/(-80). Suppose 5*z - 19210 = 2*t + 3*t, 2*z + t = 7672. Let d = z - m. Find the common denominator of -23\/6 and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-93)\/62*(27 - 1). Let k = 37 + x. Let h(j) = -6*j**3 - 4*j**2 - 2*j - 3. What are the prime factors of h(k)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 415459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 8*k**2 + k - 4. Determine p(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -8. Let v(o) = o**2 - o + 6. Let j(i) = -2*i**2 + i - 13. Let d(k) = x*j(k) - 9*v(k). Determine d(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6426200 divided by 8.\nAnswer: -803275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/15)\/((-1)\/(-385)). Let l be 6\/(-4)*r\/(-21). Let i = l - 4. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 13*v**2 - 5*v - 6. Let c(h) = 144*h**2 - 60*h - 68. What is -6*c(t) + 68*z(t)?\nAnswer: 20*t**2 + 20*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - t)*(-2*t**3 - 128*t**2 - 121*t**2 + 238*t**2).\nAnswer: 2*t**4 + 11*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -230 - -162. Let r = -66 - x. Which is the fourth smallest value? (a) r (b) 0 (c) 0.2 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 97 = -5*i, 2*i = 2*d + i - 67. Let g = 91 + d. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(-i + 0*i - i + (1 + 2 - 2)*(2*i - 5*i + i) + 2*i - 4*i + i + 4 - 4 + 2*i - 2 + 2*i + 2 + (-3 + 4 + 0)*(-2*i + 0*i + 8*i) - 33 + 8*i + 33).\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygysyscsthhhshh. What is prob of sequence ht?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 + 23.47689403?\nAnswer: 69.47689403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.34 (b) -0.06 (c) -2\/13 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -5.05. Let o = -3.95 - c. Which is greater: -0.1 or o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 257 - 259. Which is the closest to 0.1? (a) 1 (b) v (c) 6 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 178*b + 31*b**2 - 178*b - 8 in the form v + g*b**2 + k*b and give g.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -8. Let o = 118778 - 118777.4. Which is the closest to o? (a) v (b) 5 (c) -0.4 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15 + 38 + 53 + 19*u wrt u.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 462410\/(-32) + (-1)\/(-1). Let d = v + 14444. Calculate the common denominator of d and (-325)\/84 - (-2)\/7.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(-10) + (-7)\/(-2). Suppose 2*z - z = 5*r - 105, 0 = -c*r + 5*z + 105. Suppose -10*t + r = -6*t. What is the lowest common multiple of t and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*n + n**2 + 14*n - 36*n.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (42\/35)\/((-3)\/(-10)). Factor 5*m**s + 2*m - 2*m**3 + 0*m**4 - m**4 - 3*m**4 - 1.\nAnswer: (m - 1)**3*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 343*k + 619*k - 12 + 9 as a + m*k and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 6*n. Give i(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10974216 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4877 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: List the prime factors of 2878201.\nAnswer: 127, 131, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 37*a - 409. Determine w(46).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -103, -143, -179, -211, -239, -263?\nAnswer: -283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5040609 * -0.2.\nAnswer: 1008121.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7423*x + 7424*x = -3*h - 7, 5*x + 3 = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296 = -z + 7*r, 5*z = -4*r + 495 + 673. Solve 33*p - z = 3*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.551 - 0.331. Let i = q - 0.42. Let f be (-4)\/(-22) + 210\/(-66). Sort -24, f, 1\/2, i in ascending order.\nAnswer: -24, f, i, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -29. Suppose -5*m = -2*m - s - 99, 0 = -m + g*s + 44. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*u**2 - 63*u**2 - 35*u**2 - 47*u**2 + 139*u**2.\nAnswer: -37*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1436 and 244120.\nAnswer: 244120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - (4 - 3 - -1). Let u = 26 + 6. What is the remainder when 329\/1*q\/7 is divided by u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u - u - 4*u**5 + (4*u**3 - 4*u**3 - u**3)*(0*u**2 + 2*u**2 - u**2).\nAnswer: -5*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -6*r - 5*h - 20, 2*r - 2*h = 8. Suppose -b - b - 318 = -4*g, g + 3*b - 83 = r. Calculate the highest common divisor of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 166 - 120. Let c = z + -32. Solve -11 = 5*h + c for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1381404500 rounded to the nearest 1000000?\nAnswer: -1381000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19374 - -19374. Solve w = -10*h + 919 - 899 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 1, 31, -1 in increasing order.\nAnswer: -4, -1, 1, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -209\nAnswer: 41.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4220 divided by -20\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 + 14 = -i. Suppose -50 = -2*p - 2*j + 5*j, -5*p = -3*j - i. Calculate the remainder when 81 is divided by p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1641916 at least as big as 1641916?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 40\/71092117 or 0?\nAnswer: 40\/71092117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 + 531*i - 20520.\nAnswer: -3*(i - 120)*(i - 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(-45)*12\/680*(-36)\/(-12)?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c**3 - 40*c**2 + 4*c - 38. Let x be g(10). Solve -13*a + 11 = 4*y - 10*a, x*y = -5*a + 9 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -56750 and 2.4522388.\nAnswer: -56747.5477612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (11 + 601)\/36.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73604 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: What is prob of picking 1 e and 1 b when two letters picked without replacement from {b: 1, e: 2, q: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20866.959 - 20890. Let w = 23 + b. Round w to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -566141*w - 102. Let h(g) = -849212*g - 153. Let z(s) = 5*h(s) - 7*p(s). Let i be z(13). What is i rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 7*k**3 + 5*k + 5. Let w(b) = -2*b**3 + 19*b - 1. Let t(v) = -4*v. Let g(o) = -20*t(o) - 4*w(o). Calculate 5*g(j) - 4*u(j).\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 3:50 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-5400)*-45*210\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 + 24. Suppose 456 = 41*z - 3*z. What is the remainder when 79 is divided by (z\/x)\/((-1)\/20)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 0*z + 1\/2*z**4 + 0*z**3 + 3\/2*z**2 + 1. Find the second derivative of n(h) wrt h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -413, -1464, -3549, -7022, -12237?\nAnswer: -19548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39462509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 2*s - 120 = 0. Let r be 3 + (-39)\/s + (-10)\/(-8). Solve -t - r = 0, 5*y + 5*t + 17 = -8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 794074463 is divided by 264691486.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -329\/5 - -2318\/35. Let c be 2\/(-7) - (-4)\/63. Sort c, 1, j.\nAnswer: c, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/10)\/(337\/170 + -2). Let u be (l\/(-20) + -1)*12*-875. Round u to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -492 divided by -164?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oiooiiii. Give prob of sequence oi.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-24)*((-60)\/42)\/(-5).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - 1*sqrt(136))*-6)\/(sqrt(24)\/sqrt(3)*6) + (6*sqrt(136)*2)\/(sqrt(96)\/(sqrt(12)*-1)).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7169 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69 by 23.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*l*n*p + 1068*l*n - 2201183*l*p - 3*n*p - 40*n wrt n.\nAnswer: 3*l*p + 1068*l - 3*p - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 3*c + 3*c)*(3*c + 2*c - 3*c) + 1 - 1 - c**2 - 40 + 39 + c**2 + 4*c - 2*c.\nAnswer: 4*c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g**2 + 12 + 1 - 9 + (1 - 1 + 2*g)*(2*g - 4*g - 3*g).\nAnswer: -15*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1930 + 1938. Solve 7 = -y + i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ppppppppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/4 of a milligram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 3*s**2 - 4*s - 1. Let c = -7 + 11. Let l be a(c). Let n = 4 + l. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2. Let k(v) be the first derivative of 8\/3*v**3 + 0*v**2 + 5 + 0*v. Give k(o(j)).\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37697855\/16 + 2356950. Let g = -833 + y. Calculate the common denominator of -75\/4 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31924800 and 40645?\nAnswer: 3695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -44*j + 2820. Determine h(62).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60 - 593. Let y = b - -535. Suppose -1\/2*t**y + 0 + 1\/2*t**3 + 0*t = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -2*v - 3*v - 8*k, 2 = 2*k + 30 - 20 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1166654, 2333292, 3499928, 4666562, 5833194, 6999824, 8166452?\n\"Answer: -a**2 + 1166641*a + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31269288 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven halves of a millennium?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 7. Let d(i) = i**3 - 8*i**2 + 10*i - 5. What is the units digit of d(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/27)\/((-5)\/90). Suppose -v*m = c - 48, -2*c + 6*c - 244 = -3*m. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -11*p**2 - 9*p + 4. Let o(i) = 32*i**2 + 28*i - 11. Determine 17*n(f) + 6*o(f).\nAnswer: 5*f**2 + 15*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (24\/16)\/((-27)\/75) and 6\/((-756)\/(-1834))*1\/(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(5*4*sqrt(8) - sqrt(8) - sqrt(8)).\nAnswer: sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9602 is divided by 1058?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6448 or 6450?\nAnswer: 6450","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express c + 1 - 1 + (-4 + 4 - c)*(-4 + 4 + 2) - 4*c + 2*c + 3*c - c + 0 + 0 - 3*c + 2*c - 2*c - 2*c + 0 + 0 + (-c - c + 3*c)*(-2 - 2 + 2) as p + n*c and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2221*h - 75503. Give o(-34).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*w + 5. Suppose 12 = -w*z - 6. Let j be 15*((-2)\/z + 0). Let q(t) = -2*t**2 + 5. Let s(p) = -2*p**2 + 6. What is j*s(h) - 6*q(h)?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -57*o + 285. Let b be m(18). Which is bigger: b or -743?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16245828 is divided by 520.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 92, -0.4, 2\/5, 1\/6, 1\/3 in descending order.\nAnswer: 92, 2\/5, 1\/3, 1\/6, -0.4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 3, 12, 37, 84?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-13\/4)*g*g*g**(9\/11))\/(g\/g**(-16)*g\/g**(2\/45)*g))**(-44\/3) assuming g is positive.\nAnswer: g**(38387\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 94288 and 342504.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189*o**3 + 374*o**3 - 187*o**3 - 4988*o + 4988*o.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*c + 16 = -2*s, 2*s - 2*c + 4 = 0. Let h = -1422 + 15621\/11. What is the common denominator of s\/6 - (-685)\/30 and h?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12127*m + 13802*m + 73700 = 0 for m.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412007.\nAnswer: 412007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 292*q + 46549. Determine l(-159).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 15 = 5*l + 4*b, 2*l - 24 = 4*b. Suppose 4*t = -p + 167, 3*t - l*p - 225 = -2*t. Let s = -4 + 7. Solve 15 = -c - 4*u, 4*c - t = s*u - 8 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8289 and 216?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -3*s**2 - 69402*s - 401386467 = 0.\nAnswer: -11567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -9*l**2 + 35*l - 47. Let r(g) = 4*g**2 - 17*g + 23. Let j(t) = -7*r(t) - 3*z(t). Let m be j(12). What is the highest common factor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -15.2600763404 and 0.35?\nAnswer: 15.6100763404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -233, -198, -165, -134, -105?\n\"Answer: -g**2 + 38*g - 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*sqrt(637) + 1 + sqrt(637)*-1)*-2*1.\nAnswer: -14*sqrt(13) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1400, 1390, 1370, 1334, 1276?\nAnswer: 1190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -339815, -339814, -339813, -339812?\nAnswer: -339811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - -55583.2.\nAnswer: 55583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4\/5, 0, -7\/88?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 4 (b) 0.5 (c) -83 (d) -3\/7 (e) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19902806, -39805614, -59708422, -79611230, -99514038?\nAnswer: -119416846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**2. Let b(v) = -175617545*v. Determine b(w(l)).\nAnswer: 351235090*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -27, -337*h + 47 = 5*i - 340*h for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**5\/30 + 3*x**2 - 17*x. Let b(d) = 227*d**2. What is q(b(m))?\nAnswer: 103058*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 115924879\/426 - 272124. Calculate the common denominator of -31\/284 and z.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -16*p - 3. Let s(f) = -f + 1. Let m(a) = -q(a) - 4*s(a). Let w(x) = x**3. Let o be w(1). What is the remainder when m(o) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*p - 17*p = 160 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10796*w**2 + 32312*w**2 - 10754*w**2 - w**3 - 10762*w**2 - 29*w.\nAnswer: -w**3 - 29*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 + -26. Find the third derivative of 56*v - 56*v - y*v**4 - 15*v**2 wrt v.\nAnswer: -336*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 26*l + 1793. Calculate s(-69).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 144119037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 84 = 48*g - 52*g, -6*a = 12. What is the remainder when 1159 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*w - 130674 + 129722 = 0 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**10\/h)**26)**(-1\/38) assuming h is positive.\nAnswer: h**(-117\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 201 and 2\/(-5) - (-1472)\/80?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.4 + 1.4. Is -77\/6 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2299))**2 + 0.\nAnswer: -44*sqrt(19) + 2303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 202744347 and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 141 + -123. Let r be (-1)\/2*-4*1. Suppose -k - r*i = k - 278, 5*k = 4*i + 740. Calculate the highest common divisor of k and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*w**3 + 2*w - 153*w**2 + 269*w**2 + 168*w**3 - 160*w**2 wrt w?\nAnswer: 864","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) -36 (b) 5 (c) 1\/8 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 10 = -40*h - 131, 5*l - 10 = 5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 812 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) -14.51 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -24. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -282, -294, -320, -366, -438, -542?\nAnswer: -684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20565?\nAnswer: 3, 5, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 633, -1, 16 in increasing order.\nAnswer: -13, -1, 16, 633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 41431151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j**2*t**3 - 706*j**2 + 76*j*t wrt t.\nAnswer: 6*j**2*t**2 + 76*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -18251 (c) -7\/3 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17990 to the power of 1\/2, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78232 and 256410?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -15 - 21) + 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -4 - (-4 + (-15 - -25))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*j - 11. Let l be ((-3)\/(-9))\/(j\/18). Suppose -5 = 5*t - 15. Put l, t, 5 in decreasing order.\nAnswer: 5, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*y**2 - 40*y - 6*y**2 + 27*y**2 wrt y.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000136098 rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 7 - 2*p**2 - 38*p**2 - 15.\nAnswer: -40*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - 13. What is the lowest common multiple of s and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 220047 = 86702. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 17 = 3*o. Let t = -12 - o. Let w(r) = -2*r - t*r + r. What is w(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*x + 3*x + 160 = 9*x. Which is the nearest to 9? (a) 67 (b) -0.2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 + 90. Let z = s + -34. Let j(f) = f - 8. Let k be j(z). Solve k*p + p + 12 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1854, -3, 3 in descending order.\nAnswer: 1854, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6713\/12 or -559?\nAnswer: -559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44109184 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0)**(2\/31)\/((x**(2\/3)\/x)\/(x*x*x**6*x))*(x\/x**(1\/2))\/(((x**(-4)*x)\/x)\/x)*x**(-1)\/(x*x**(-4)*x*x*x) assuming x is positive.\nAnswer: x**(83\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/3, -622, 4, -15, -0.08.\nAnswer: -622, -15, -1\/3, -0.08, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.659, -0.4, 4 in increasing order.\nAnswer: -4, -0.659, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*p**3*v + 2*p**3 + 2*p**2*u*v + 3*p*u + p*v + 29*u + v wrt p?\nAnswer: -90*p*v + 12*p + 4*u*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -1\/889264 in decreasing order.\nAnswer: 0, -1\/889264, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3011 - 232*r**3 - 3011.\nAnswer: -232*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 628900543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*a, -5*p - 2*a - 2*a = -9. Solve -9*x - 4*j = -8*x + p, -2*x + 7 = -j for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 12*z**2 + 4*z - 15. Determine w(11).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5507032 divided by 2?\nAnswer: -2753516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -16147*k + 3213357. Give z(199).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -291.11 + 1.11. Let u = 52 - q. Let k = u + -341.9999727. Round k to 6 decimal places.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-7))\/((-13)\/(-91)). Suppose 4*v = -s + 3*v + 3, k*s - v = 9. Calculate the smallest common multiple of s and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -4, -11, -2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2297*a**3 - 16*a**2 - 2*a - 2213. Let j(d) = 4594*d**3 + 40*d**2 + 5*d + 4425. Let s(z) = 2*j(z) + 5*r(z). Find the first derivative of s(v) wrt v.\nAnswer: -6891*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 4 - 2)*(-9 + 11*f + 9) + (f + 0*f + f)*(-1 - 2 + 6)*(-5 + 1 + 1) to the form t + k*f and give k.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9222 - -9222. What is the nearest to 2\/7 in -2\/5, -0.1, 0.487, n?\nAnswer: 0.487","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 15*t**2 + 13*t + 25. Let a(c) = c**2 + c + 1. Let z(d) = -6*a(d) + q(d). What is the units digit of z(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 17 = -5*d - 1, 5*z - 5*d = 25. Let t(p) = -2 + 20*p - z - 25*p + 7*p. Calculate t(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*l**4 + 17868895*l**2 + 257212353*l wrt l?\nAnswer: -120*l**2 + 35737790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u**2 - 4*u + 18. What is the hundreds digit of c(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48 + 54. Suppose 96 = f*v - 96. Calculate the least common multiple of 40 and v.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 49, -776 in descending order.\nAnswer: 49, -1\/8, -776","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22955575?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.5 - 5. Let n = 1.9 - 2. Sort -0.2, n, q.\nAnswer: q, -0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -9, 167, -14 in decreasing order.\nAnswer: 167, 5, -4, -9, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -6. Suppose f - 1 = 0, 10 + 42 = 5*j - 3*f. Let g = 6 - j. Put p, g, -3 in increasing order.\nAnswer: g, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 12:15 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 15 + 13)*(-2*l + 3*l - 3*l) + 1 - 2 + 0*l + 2*l - 3*l + 5*l + 0*l + l - 3*l + l + (3 + 3 - 4)*(-l - 4*l + 4*l).\nAnswer: -59*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0040953 rounded to four dps?\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 14*h + 8. What is the units digit of i(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 3275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 1:56 AM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/sqrt(4)*5*2 - (sqrt(176) - 3*(sqrt(176) - (sqrt(176) + 1))))**2.\nAnswer: -36*sqrt(11) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 5*w + 93, -2*w + 48 - 17 = -5017*n + 5022*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 11*m**2. Let q(s) = -21*s**2 - 3*s. Let o(z) = z. Let d(p) = -3*o(p) - q(p). Calculate f(d(v)).\nAnswer: 4851*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 294279510 bigger than 294279512?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -527 = -94*i + 4361. Calculate the highest common divisor of 1495 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-14)\/a)\/(a\/(a*a\/((a*a\/(a*a*a**15))\/a)))*a*a**(5\/7)*a*(a\/(a**(-1\/16)*a*a)*a*a*a)\/a assuming a is positive.\nAnswer: a**(647\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -18950*q - 397909. What is j(-21)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/2472887 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4 = -i - w, 0 = -4*i - 5*w + 20. Solve 15 = -3*b - i*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21785 - 1652*q - 5270*q + 21785)*(2*q**3 + 2*q - 2*q).\nAnswer: -13844*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**3 + 4*t**2 - 5. Let u(k) = -k**2. Let x(l) = -15*l**2 + 164*l + 12. Let p be x(11). Give p*r(c) + 5*u(c).\nAnswer: -3*c**3 - c**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -472*f + 2*c - 6 = -466*f, 3*f - 5*c - 33 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z + 15. Let f be w(-4). Let d = 4 + f. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 982.00000288 - 982. Round z to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2. Let o(r) be the third derivative of 19*r**4\/24 + r**2 + 113*r. Give o(d(h)).\nAnswer: -19*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 2\/9, 1\/5, 21.2, 0?\nAnswer: 21.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -213 - -214. Which is smaller: -2\/215 or a?\nAnswer: -2\/215","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.87 + -0.13. Let r = -177.2 - -35.2. Let u = -140 - r. Put n, 0.05, u in decreasing order.\nAnswer: u, 0.05, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1326 - -1326.51104. Round d to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/8)\/(26\/104). Suppose 2*b = 3*k - z, -3*b - 12 = b. Is -2 greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 246523978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 0.3, 5\/3, 105\/13 in increasing order.\nAnswer: -2\/9, 0.3, 5\/3, 105\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 12*a + 32. Let o be y(12). Let c = 273 + o. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + -12. Let i = 942 - t. Suppose -v + 2*v + 2 = 0, -i = -3*m - v. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29436923 to the nearest one million.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.46 + 4.36. Let w = 0.1 + s. Sort w, 1\/2, 1\/6 in ascending order.\nAnswer: 1\/6, 1\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -584 - -560.3. What is s rounded to the nearest integer?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**2 - u + 2. Let i be p(7). Suppose 3*a - i = 95. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -39906, -79812, -119718, -159624?\n\"Answer: -39906*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 458, 945, 1046, 569, -678?\n\"Answer: -32*r**3 - r**2 + 714*r - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 163, 217, 285, 373, 487, 633?\n\"Answer: i**3 + i**2 + 44*i + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.44 - -0.439795. Round s to five decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -141703*j**3*r**2 + j**3*r - j**2 - 3304*j*r + 2*r wrt r?\nAnswer: -283406*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * 39.\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 13*x - 7*x + x**3 - 8*x)*(-x + x + 2*x**2).\nAnswer: 2*x**5 - 2*x**4 - 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 48\/84*18\/(-16)*(-6)\/27\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 624*d**3*h**5 - 980*d**3*h wrt h?\nAnswer: 12480*d**3*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**6 + d**4 - 8779*d**3 - 411*d**2 - 31 wrt d?\nAnswer: 120*d**3 + 24*d - 52674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 124067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -10.4. Let m = x - -3.2. Let i = m + -3.7. Which is the closest to i? (a) 0.4 (b) 0.5 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, g: 5, d: 11}. What is prob of sequence dc?\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 4982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.54 - -0.6. Let y = 0.94 + s. Which is the smallest value? (a) y (b) -0.2 (c) -4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/((-2684)\/(-381128))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of j**3\/3 - 7*j**2\/2 - 11*j - 1. Let v be r(8). Suppose -3*a = x - 0*a + 18, 3*a = x - 12. Is x at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2074967.0296336 + 2074965. Let i = k - -2.03. What is i rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b - 13. Let u be r(-13). Sort 2\/13, u, 1.8.\nAnswer: u, 2\/13, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 61*w + 87 wrt w?\nAnswer: 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 0*a - 1\/12*a**4 + 0 - 1\/3*a**3 - 2*a**2 + 1\/120*a**6 + 1\/12*a**5. Calculate the smallest common multiple of 22 and g(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from {u: 6, h: 12}.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 628.\nAnswer: -1\/314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 3*w - 5*w)*(6 - 5 - 3) + 207*w - 107*w + 130*w.\nAnswer: 232*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(152)\/sqrt(8) - sqrt(19)))**2 + -3 - ((sqrt(19) + sqrt(57)\/sqrt(3) + sqrt(19))*-1)**2.\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/9))**(4\/21))**20 assuming g is positive.\nAnswer: g**(-160\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 + 66. Let c = -15 + z. Let k = c - 12. Sort 1\/5, 2, k in increasing order.\nAnswer: k, 1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.127, 0.6, 130.3.\nAnswer: -4, 0.127, 0.6, 130.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-2))**20\/(m**0)**(-43))**(-2) assuming m is positive.\nAnswer: m**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1442\/18 - 41\/369. Let f = l + -77. Solve 5*g + 5 = 0, -5*b + 2*g = -f*g + 15 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 greater than or equal to 285\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 36 = 3*y, -5*q + 20 = -10*q. Suppose -800 + 790 = -t. What is the least common multiple of t and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2633 a factor of 1019666998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12307260 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: Calculate 0.1*-36831.\nAnswer: -3683.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*u - 39*u - 536. Suppose -u*h + 151*h - 10098 = 0. List the prime factors of h.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z + 46. Let v be (35\/6 + -2)*(43 - 49). Give g(v).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/9 - 19754*b**2\/3 - 146342570*b\/3 - 438968450\/9.\nAnswer: -2*(b + 1)*(b + 14815)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 e when three letters picked without replacement from {h: 9, z: 1, j: 4, e: 2}.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 5*s - 15, 5*t + 765 = -4*s + 786. Sort -4\/3, 85, 1, t in descending order.\nAnswer: 85, t, 1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-19)*z))\/((z*z**11)\/z) assuming z is positive.\nAnswer: z**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 25\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 + 30*n. Let v(f) = 3*f. Determine i(v(m)).\nAnswer: 18*m**2 + 90*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkgg when four letters picked without replacement from gkgggljglgtugg.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 16, 19, 26, 37, 52?\n\"Answer: 2*a**2 - 3*a + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -0*m - 5*d - 507, -2*d = 0. Does 20 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -102.3195 or 3?\nAnswer: -102.3195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/267 and -37\/1157.\nAnswer: 3471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((sqrt(176) - 2*sqrt(176)) + sqrt(176))*-6 + sqrt(176))\/(sqrt(576)*2 - sqrt(4) - sqrt(4) - sqrt(4)))\/(((sqrt(28)*1)\/sqrt(7) - 1*sqrt(4)*-6)*6))**2.\nAnswer: 11\/777924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**4 + 7*n**3 - 67*n**2 + 111*n - 60. Let u(h) = -h**4 + h**2 - h - 4. Let k(v) = -j(v) + 2*u(v). Factor k(i).\nAnswer: -(i - 4)*(i - 1)**2*(i + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**2 - 6*b**2 - 2*b**2)*(-499 + b**3 + 512 + 0*b**3).\nAnswer: -3*b**5 - 39*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2845890 + -36?\nAnswer: -2845926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*l + 118 = 781 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16c2 + -ad?\nAnswer: -1780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15.3 + -15.3. What is the nearest to p in 0.4, 3\/7, 38?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2296 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10828306 is divided by 138?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -378 + 378.2. Let j be (-17)\/15 + -1 - -2. Which is the closest to y? (a) j (b) 0.4 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**2 - 62*s - 2. Let u(g) = -g**3 - 5*g**2 - 126*g - 6. Give 5*n(t) - 2*u(t).\nAnswer: 2*t**3 - 58*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*4\/16*80\/24.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2603645*n + 7873050 wrt n.\nAnswer: -2603645","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 11:08 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**4*z**2 - 42800495*i**4 - 9*i**2*z**2 - 3*i**2*z + 5*i**2 + 2*z**2 + 6*z - 16 wrt i?\nAnswer: -48*i*z**2 - 1027211880*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3357\/134 - -1201781\/39798. Let u = s + -188\/27. Suppose -2*d - 3*o - 5 = 2*o, -o = 5*d + 47. Find the common denominator of u and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -1204.\nAnswer: -1\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -11, -2, 3 in decreasing order.\nAnswer: 3, -2, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -713*t + 699*t + 168 = 0 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152 + 165 + (-25 - -1) + 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-114)\/8 - 0 - (-495)\/396. Which is the closest to 0.4? (a) 2 (b) 0.9 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2666 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 1\/4*c**4 + 0*c + 3 + 0*c**2 + c**3. Find the third derivative of x(p) wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.228 + 0.028. Let h = 10.2 + p. Which is smaller: -20 or h?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 + l + (-l + l - l)*(16 + 38 - 15) + (0*l + 4*l - 2*l)*(-2 + 2 + 1) in the form p*l + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 894, 743, 488, 129, -334, -901?\nAnswer: -1572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2890249 divided by 53?\nAnswer: 54533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - t**2 + t + 14. Let u be d(0). Let f = 28 - u. 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 k = -14.986 + -2.014. What is the biggest value in k, 1\/9, -2\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 11*i**2 - 23*i - 8. Let p be b(7). Let k(q) = q**3 + 4*q**2 - 8*q - 6. Let z be k(-5). What is the greatest common factor of p and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -281 (base 10) to base 15.\nAnswer: -13b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -4, -11.6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*d - 240 = 311*d - 123*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -18*c**5\/7 + 130*c**4\/7 + 122*c**3 - 1186*c**2\/7 + 220*c\/7 = 0.\nAnswer: -5, 0, 2\/9, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32868400 divided by -6.\nAnswer: -16434200\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1199727 is divided by 46?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -124338 - -198284. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-6))\/((-7)\/(14\/(-12)))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1977\/1588 + 2\/397. Let v = -72.27 - -69.3. Let n = -0.03 + v. Which is the biggest value? (a) 0.3 (b) n (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1209\/8 - 151. Solve -1\/4*o**4 - d*o + 1\/2*o**2 - 1\/8*o**5 - 1\/4 + 1\/4*o**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 6) to base 13.\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 7*b**2 + 3*b - 1. Is q(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**3\/12 - r**2 + 7*r\/4 + 78. Let i(a) = 0. Calculate a.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 41*n**2 + 50*n + 84. Let h be o(-36). Let d = h - 3103. What are the prime factors of d?\nAnswer: 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-20)*4672\/876\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -q + 15435496, -2*z + 3*q + 24374316 = -6496691. Let p = z - 216003611\/14. Let l = p + -6665. Calculate the common denominator of l and -23\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2095 divided by -39.\nAnswer: 2095\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-50)\/8) + -3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 19*m**2 - 3*m - 1. Let s be c(-1). Let i be (225000\/s)\/(2\/(-1568)). Round i to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f - 2602 + 2712 = 0. Calculate the highest common divisor of f and 1145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l - 3. Let z be f(-6). Let y = z - -2. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**4\/12 + 15*l**2. Let f(q) = 8*q**2. Determine f(r(k)).\nAnswer: 32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -22*h**3 - 4*h**2 + 6. Let c(x) = 21*x**3 + 3*x**2 - 5. Give 5*c(r) + 4*k(r).\nAnswer: 17*r**3 - r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/20630 and -61\/670475.\nAnswer: 1340950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-168)\/(-260) - 4\/5.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 8. Let k be 0\/2 + d - -33. Let a be 7\/(-21) + k\/6. Solve -a = -c - 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, c: 5, h: 3, j: 3}. What is prob of sequence cj?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = d - 453, -3*d = d + j - 1840. Suppose 6*l + d = l - w, l + w = -89. Let z = l + 159. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 7:13 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + 4\/20*0. Is 6 a factor of (-3)\/(15\/(-427)) - x\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 0*m + 3\/2*m**3 + 1\/2*m**4 + 0 + m**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 977483\/66436830 - -24\/19951. Find the common denominator of 5\/2 and r.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 + -1.1. Let i = -0.4 - x. Let s = 1.1135 - i. Round s to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**5\/2 - 1975*w**4\/2 + 465163*w**3\/2 - 27914217*w**2\/2 - 90129204*w - 138413826 = 0.\nAnswer: -3, 134, 1713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -34.069 and -20.\nAnswer: 681.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*n**2*x**3 - 130*n*x**3 wrt n?\nAnswer: -24*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*t + 5 = 3*c, -3*t = 2*c. Suppose 5*g + 2*z + 12 = 0, -3*g - 12 = g + z. What is the units digit of g*((-5)\/2 - t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 566 = 580. Let m(l) = -l**2 - 8*l - 8. Let u be m(-6). Let j be u - (2 - g) - -2. Solve -11 = -j*v + 3*n, -v + n + 8 = -n for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/18*3 - 30. Suppose -2*q - q - 156 = 0. Let m = j - q. What is the remainder when 82 is divided by m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2815 is divided by 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -76, -11, -1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -0.6 (b) 6 (c) 2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205502 is divided by 22753.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 4543290?\nAnswer: 4\/2271645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27596*m**2 - 26763*m**2 - 126174*m**2.\nAnswer: -125341*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/10*(-3 + 1). Let g = -261 + 265. Suppose v*h - 135 = -3*z, g*h - 243 = -h + z. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 66 = 4*f, 0 = 4*f - 2*l + 6*l - 64. Suppose -f*x + 12*x = 0. Suppose x = -2*m + m + 15. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 184, 182, 182, 184, 188, 194, 202?\n\"Answer: y**2 - 5*y + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1986843813 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 63 + 2\/3*m**3 + 0*m**2 + 0*m. Let n(z) = -37 + 20 + 17 + 21*z. Determine n(p(t)).\nAnswer: 42*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37396003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*r - r. Suppose -3*k = r*k. Factor 0 - 6\/7*f**3 - 2\/7*f**5 + k*f + 6\/7*f**4 + 2\/7*f**2.\nAnswer: -2*f**2*(f - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -0*a. Suppose a = -3*r + 5*r. Let t = r + 7. Solve -2*c + t = -3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**5 - 12*d**4 - 2*d**3 + 4*d - 4. Let f = 26 - 21. Let g(o) = o**5 + 13*o**4 + 2*o**3 - 5*o + 5. Let m(q) = f*s(q) + 4*g(q). Factor m(n).\nAnswer: -2*n**3*(n + 1)*(3*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24011777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, a: 12}. Give prob of picking 1 i and 1 a.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10190 + -10187. Let d(m) be the first derivative of -2\/15*m**k - 27 + 4\/5*m + 1\/5*m**2. Solve d(c) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -9.1. Let y = 22 + -22. Suppose d = 3*l + 10, y*d = -d - 5. Which is the closest to n? (a) -1 (b) 0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -10. Let o be (-3)\/(-1 - (45\/(-14) - -2)). Let n be (-4 + 5)*(0 - 6\/o). What is the closest to 0 in s, n, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.983942 - 0.016058. Suppose 6*o + 2*d = 2*o - 10, 2*d = -2. Let i be ((2\/1)\/o)\/2. Which is the nearest to -1\/2? (a) 2 (b) f (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.179 + 1.1788449. What is c rounded to 5 decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - 16 - 3 - (13 - 40).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.8 >= 1102309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*r - 2104 - 86 = 0, 3*y = -4*r - 1285. Suppose 3*n = 3*v + 9, -5*v - 13*n = -16*n + 19. Does 19 divide (4 + v)\/(3\/y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3055 is divided by 122?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -22. Suppose 0*a = a - 5*y - 5624, f*a + 3*y - 16926 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, w: 1, u: 2, c: 1}. What is prob of picking 2 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -74.182 + 0.182. Let c = 73.214 + f. What is c rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 77\/15 - (-10)\/(-75). Suppose -3 - 3 = -2*c. Let k = c + f. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2\/4 + 63825*u\/2 + 4215717\/4.\nAnswer: -3*(u - 42583)*(u + 33)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 736954*k**6 - k**3 - 3893129*k**2 wrt k?\nAnswer: 88434480*k**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3909*d**4 - 7236 wrt d?\nAnswer: 15636*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 278 + 150. Does 27 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-242))\/((-92)\/(-506))\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**3\/2 + 12003*s**2\/2 + 3589425*s\/2 + 279329769\/2 = 0.\nAnswer: -3683, -159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 48\/6 + -1 + -2. Suppose 4*b - 4 = 4*o, -2*o = 3*b - 8 - x. Factor o*q**3 + 2*q**4 - 5*q + 0*q**2 + 0*q**3 + 9*q**2 - 9*q**3 + 1.\nAnswer: (q - 1)**3*(2*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18 or 263?\nAnswer: 263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmxmmmmxmmmmmmmmxmxm. Give prob of sequence mmmm.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/16 of a week?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6245 times -0.016\nAnswer: 99.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*z = 52*z - 55. Let p(u) be the second derivative of -1\/100*u**z - 1\/10*u**2 + 0 + 1\/60*u**4 - u + 1\/30*u**3. Find l, given that p(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -78, -205, -384, -615, -898, -1233, -1620?\n\"Answer: -26*r**2 - 49*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8.4036 times 0.3\nAnswer: -2.52108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1956, -6, -2, -4 in decreasing order.\nAnswer: -2, -4, -6, -1956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(147) + 0 - sqrt(147)) + sqrt(147) - -3*(-2*sqrt(147) + sqrt(147) + sqrt(147)) - -5*(-1 + sqrt(147) + -1))**2.\nAnswer: -840*sqrt(3) + 5392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -376, -371, -364, -355?\nAnswer: -344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10576 - 10576.00000011169. Round r to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 26. Let q = o + -7. Solve 5 = -4*r - 5*n, -4*r - 40 = r - q*n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, d: 2, c: 5, y: 3, s: 2}. Give prob of sequence xs.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 63*x**2 + 101*x + 7. Determine z(-1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 10:12 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 a factor of 111613?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1 - (252\/(-32) + -1) and -40\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-9))\/1 - (-50)\/18. Let q(r) = -2*r**3 + 8*r**2 + 2. Let l be q(x). Solve -w + l = 4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d - 15 = 17*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -929.00767 + 929. What is p rounded to four dps?\nAnswer: -0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1001 and 6825.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/7)\/u*u*u)**(-21))**(1\/35) assuming u is positive.\nAnswer: u**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.2795275 millimeters?\nAnswer: 0.0000002795275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(833) + -1 + -1*(0 + sqrt(833)))*-4 - (0 + (sqrt(833) - (sqrt(833) + 1)) + -2*1*sqrt(833)))**2*1.\nAnswer: 252*sqrt(17) + 3413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.591 to zero dps.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-48)\/(-15))\/2 + -2. Let f = -6 - -5.2. Let d = -1 - f. Which is the biggest value? (a) y (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -15. Let i = -2.2 + u. Which is the second biggest value? (a) 4\/3 (b) i (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78\/(-6))\/13*(-1)\/(-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u. Suppose -15 = -3*l, l + 3 = m - 0*m. Suppose 2*x - 2*h - m = 2, -h - 23 = -4*x. Give p(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 77 or 236\/5?\nAnswer: 236\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g + 1 - 1)*(9 - g - 9)*(6 + 39 + 2) to the form n + c*g + u*g**2 and give u.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4021 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - 2\/(4\/38). Suppose 3*k - 165 = -2*k. Let v = k + q. What is the highest common divisor of 30 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 26990903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1\/3 (b) -5\/3 (c) 3 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 8*r + r)*(1 + 0 - 2) - 2*r + 2*r + 4*r + (-2 + r + 2)*(0 + 3 - 4) + r - 6*r + 3*r - 2*r + 2*r - 2*r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 24675560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*p + 4*p**2 + 37*p + 85*p + p**2.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -397*n**3 + 229*n + 260*n - 1992*n + 397*n**3 - 699*n**4 wrt n?\nAnswer: -8388*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -m**5\/60 - 11*m**4\/24 - m**3\/3 + 28*m**2. What is the smallest common multiple of 22 and v(-8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 154.4 + -151. What is f rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d. Let z be r(-10). Let j be z\/(-3)*(-6)\/(-4). Solve -j - 5 = -2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-216)\/(-45) + -5 + 1. Solve -u*t - 4\/5*t**2 + 8\/5 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -850*h + 288*h**3 - 78*h**2 - 2*h**4 + 278*h - 111*h**2 - 93*h**2 = 0.\nAnswer: -1, 0, 2, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 18*j - 66. Let k be s(3). Is (-8650)\/k - 5\/6 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**2 - 267*f + 2328 = 0.\nAnswer: -97, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3572824 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -19*z**2 + 6*z. Let q(o) = -79*o**2 + 25*o + 7. Calculate 25*p(d) - 6*q(d).\nAnswer: -d**2 - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 400405 (base 6) to base 14.\nAnswer: b565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.889114 to one decimal place.\nAnswer: 18.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n*n**(-23)*n*n)\/n)\/n*n**(17\/3))\/(n**(-1\/2))**(-49) assuming n is positive.\nAnswer: n**(-239\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2144*g + 64*g**2 + 26*g**2 - 2144*g.\nAnswer: 90*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 1, 16, 2\/9, 9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -50551*g**2. Let w(m) = 2*m**2. What is y(w(a))?\nAnswer: -202204*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xoy when three letters picked without replacement from yoyofx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 + 301121?\nAnswer: 301033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f - 2*f + 3*f)*(-224*f + 120*f + 448*f) to the form c + i*f + u*f**2 and give u.\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*d - 39*u + 24*u = -19*u - 3080, -55 = 5*d - u for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50244491 is divided by 772992.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 244 and 96111356.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12541, 49777, 111719, 198367?\n\"Answer: 12353*w**2 + 177*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62796 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/24864 and -51\/8456?\nAnswer: 3754464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -11422.9, -14, -127 in ascending order.\nAnswer: -11422.9, -127, -14, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -a5164?\nAnswer: a515a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 39, -0.032 in decreasing order.\nAnswer: 39, 0.02, -0.032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 3661355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 173614, 347223, 520832, 694441, 868050?\n\"Answer: 173609*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 110817065 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4050, -7021, -8908, -9717, -9454?\nAnswer: -8125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -36*d - 6. What is f(1)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588533?\nAnswer: 11, 53503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**5 + 0*d**5 + 0*d**5 + 0*d**2 + 0*d**2 + d**5 + (-3*d**3 - d**3 + 3*d**3)*(-2*d**2 + 0*d**2 + d**2) + 5*d**5 - 29*d**2 + 0*d**5 - 4*d**5.\nAnswer: 4*d**5 - 29*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*j**3 - 21*j**3 - j**3)*(-6 + 4*j + 6)*(0 + 4 + 0).\nAnswer: -192*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1354 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 9\/3 - -40. Let c = -13 + d. What is the highest common factor of 200 and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**2 + 148*r**3 + 6*r**2 + 0*r**2 - 125*r**3.\nAnswer: 23*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.6461 (b) -0.2 (c) 4\/9 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 29*q**2 - 17*q - 332. What is the ten thousands digit of z(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 72*w + 1074. What is l(21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 3:23 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 6*p + 28. Let n be -99*((-7)\/3)\/p*-1. Do n and 35 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-4*sqrt(384)*-4)\/(6*(-4*sqrt(96))\/sqrt(8)*2).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + a9446?\nAnswer: a944b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 22. Let p = y + 29. Let a = 42 - p. What is the remainder when a is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 27844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c - 27. Let y be p(11). Let d = -6 + y. Suppose -3*j - 19 + 79 = d. Solve -5*u - j = -5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mdddmm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(m - m - m)*(-172 - 42*m + 172 + (6*m - 4*m - 3*m)*(-2 + 2 - 1)).\nAnswer: -82*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 7*n**2 + 10*n - 7 + 2*n**2 - 8*n**2. Let k be f(-11). Solve 0 = -q - 0 + k for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 58 and -13?\nAnswer: -754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pqq when three letters picked without replacement from qvvvpqqqpvvq?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2821461 - w**2 - 2821461 + 0*w**2. Let j(b) = 781*b**2. Calculate j(c(i)).\nAnswer: 781*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2433\/379, 11\/2, -2\/15 in ascending order.\nAnswer: -2\/15, 11\/2, 2433\/379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*z + 50*z - 92*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -6. Suppose d*k + 1 = 3*q - 0, -5*k + q = -17. Suppose k*s - 48 = 12. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -574*j + 329. What is the hundreds digit of c(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 136*h - 766*h**2 - 1 - 633*h**2 - 722*h + 0 wrt h.\nAnswer: -2798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38752 and 960496.\nAnswer: 13446944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1723 is divided by 114?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 3*z**2 - 7*z - 12. Let d(j) = j**2 - j - 1. Let h(g) = -5*d(g) + n(g). Calculate the remainder when h(5) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*v**3 - 54*v**3 + 112*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -307 + 303. Sort h, 1\/9, 5, 1 in descending order.\nAnswer: 5, 1, 1\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t = -18*t - 832. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -1\/18, -5, 0.2, -78?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2698 (base 15) in base 11?\nAnswer: 6214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + z + z)*(6 + 6 - 6 + (-1 + 1 + 1)*(-6 + 16 + 0)).\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.2 + -1.9. Let w = -32\/15 + 22\/15. What is the nearest to w in 2, 15\/4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 19*v + 175. Let k be p(-8). Suppose 0 = 22*a - k*a - 2. Sort -1\/9, a, 4\/9.\nAnswer: a, -1\/9, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -7961?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 47*q + 85. Let f be (-1)\/(-5) + 6457\/(-2935). Determine j(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - a?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f**3 + f**3 - f**3)*(-219 - 64 + 404) + (5*f**2 - 8 + 8)*(1 + f - 1) + 5*f - 5*f - f**3 to the form z*f + y*f**2 + h + b*f**3 and give b.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 6) in base 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289*t - 274*t - 284*t - 300*t + 1185*t.\nAnswer: 38*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.180430399 rounded to four decimal places?\nAnswer: -0.1804","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l - 20. Let p be c(-12). Solve 0 = -0*k - p*k + 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/67908777 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 4*p**5 + 28*p**4 + 76*p**3 + 100*p**2 + 64*p + 16 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.55 + 0.15. Let q = 151331933 + -151331933.70000001. Let m = s + q. Round m to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1960, 1922, 1858, 1768?\n\"Answer: -13*p**2 + p + 1972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 0. Suppose 0*a + r = -4*a + p, -5*p = a - 25. Solve a = 3*b - 5*c + 9, b - 13 = -5*c + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -692*t**3 + 2*t - 2*t + 74*t**3 - 80*t**3.\nAnswer: -698*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {p: 5, l: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4 + 0 = 0. Let y be (-6 - 0 - 0)*k. Find the common denominator of 41\/10 and (-3)\/(-10)*(-35)\/y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -211*k + 192. Give m(-3).\nAnswer: 825","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 809137 is divided by 752.\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 984 a factor of 128305833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1884, 3773, 5690, 7647, 9656?\nAnswer: 11729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79484 - 397382\/5. Let i = -6661 + 66729\/10. Find the common denominator of i and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 12, 14, 16, 18, 20?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11)\/((-11)\/42)*2\/4. Let p(d) = d**3 - 24*d**2 + 66*d - 9. What is the least common multiple of 66 and p(f)?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 1 = 59. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 685 and 8905?\nAnswer: 8905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 451 = -21*n - 20*n. Is n equal to -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-5)\/(-10)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -58773 + 97940. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 75*c + 6 = 77*c, -9 = -s - c. What is the fourth smallest value in 5, 0.3, -0.1, -35, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111100010100100001101 (base 2) in base 5?\nAnswer: 3034432033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -881943 + 8?\nAnswer: -881935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -68*v**2 - 1580*v - 10. Calculate y(-23).\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p - 7. Let a(l) be the first derivative of l - 10. Calculate -21*a(m) - 3*x(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/11, -12\/7, 5, -0.1, -0.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1146 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 200652679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -1\/5 (c) 15.8 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.21642 times 0.3\nAnswer: -0.064926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9, m: 2}. What is prob of sequence jjmj?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -0.8861.\nAnswer: -4.8861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31793 is divided by 196?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17403 is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 30 + 0 = 0. Let d be (175\/c)\/5*3. Suppose -2*x = -d*x + 60. Solve -t + b = 2*t - x, -4*b - 9 = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -99 * 0.4\nAnswer: -39.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17879964 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + (-5*(sqrt(126)*-3 + sqrt(126)))\/(sqrt(7) + sqrt(21)\/(sqrt(9)\/sqrt(3)) - sqrt(7))).\nAnswer: -90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 290286 and 3773718.\nAnswer: 3773718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 507 = -3*r, -s + 483*r = 481*r - 167. What is the lowest common multiple of 47 and s?\nAnswer: 8037","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10202 + -10197. Which is the closest to -0.1? (a) 0 (b) k (c) 456 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*w + 64. Suppose 123 - 321 = -11*y. Calculate the least common multiple of w and y.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**5\/7 - 992*c**4\/7 - 50366*c**3\/7 + 272492*c**2\/7 - 221136*c\/7 = 0 for c.\nAnswer: -51, 0, 1, 4, 542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -7*z + 3. Let o be 13\/4 + (-4)\/16. Suppose o = 3*m + 12. What is the tens digit of y(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11489081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -5*i**3\/3 + 19*i**2\/2 - 5*i. Let j(b) = 5*b - 10. Let f(y) = 3*d(y) + 5*j(y). Differentiate f(l) wrt l.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 2) + 6 + (13 - 15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1696, -3373, -5060, -6763, -8488, -10241?\nAnswer: -12028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 942*k + 3 = u + 946*k, -u + 12 = -5*k. Solve -u*g = -350 + 329 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1269 and 33528?\nAnswer: 14182344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2771000 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 745 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 236*w**3 - 496*w**3 - 3*w**4 + 9 - 2*w + 257*w**3 - 3*w**2 to the form z + v*w**2 + i*w**4 + r*w**3 + d*w and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -513, -628, -737, -840, -937, -1028?\n\"Answer: 3*c**2 - 124*c - 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -m**7\/3 + 4*m**6\/15 - 85*m**3\/3 + 17*m - 2. What is the second derivative of o(f) wrt f?\nAnswer: -280*f**3 + 96*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 121 + -119. Suppose 0 = -3*x - 5*j + 6, v*x - 7*x + 3*j + 10 = 0. Solve x*f = -f - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74294*z + 3828 = -74162*z for z.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -74044477 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(-1\/6))\/s**(-4\/21) assuming s is positive.\nAnswer: s**(85\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 189 and 50652.\nAnswer: 50652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17121?\nAnswer: 3, 13, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75 - 42. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5126 divide 1815504404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -42 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 z when four letters picked without replacement from {j: 6, e: 5, y: 1, t: 3, z: 5}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -234, -3, -1 in ascending order.\nAnswer: -234, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -30397138709483.\nAnswer: -30397138709482.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 28 = -3*r + 6, 5*r = -3*c - 26. Let y be 3\/r - 22\/(-8). What is s in 3*s - 3*s + 2*s**y + 0*s**2 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -18*v + 19*v. Suppose -v*z + 2823 = 5*c, -3*z + 949 = -2*z - c. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68*b**3*v**4 + 72*b**3*v**2 - 60*b**2*v**2 - 446*v**4 - 2*v**3 wrt v.\nAnswer: -1632*b**3*v - 10704*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -2*p**3\/27 - 31*p**2 - 556*p\/9 - 4283. Let q(j) = 0. What is j?\nAnswer: -278, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 1060?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 87 + -62. Suppose -g - 2 = -o. Let v = -189 + 273. Calculate the remainder when v is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78801?\nAnswer: 3, 26267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -252 - 23aa94?\nAnswer: -23b126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31.81 + -31.91. What is the fifth smallest value in -5, 1\/6, v, 13\/2, 5?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3174506017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1b (base 15) to base 7\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14403180 (base 9) in base 6?\nAnswer: -413105113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f + f + 0*f + (3*f + 2*f - 3*f)*(1 - 5 + 3) + (0 - 7 - 3)*(0 + f + 0).\nAnswer: -13*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8, 53, 222, 553, 1100, 1917, 3058, 4577?\n\"Answer: 9*q**3 - 2*q - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4, 2\/11, -40, -5, 1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1308615959?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ch when two letters picked without replacement from shsoosoohncq.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1856968073 and -5.\nAnswer: -9284840365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2 + sqrt(242))**2.\nAnswer: -44*sqrt(2) + 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 24*y - 213. Calculate r(-30).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, e: 2, z: 2}. Give prob of sequence tt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70\/8 - 1\/(-4))*((-76230)\/2160)\/(-77).\nAnswer: 33\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3450, 6901, 10350, 13797?\nAnswer: 17242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 21*b**2 - 20*b - 9. Let u(z) = 10*z**2 - 9*z - 4. Let h(t) = -9*u(t) + 4*y(t). Let s(p) = -p. Determine h(s(n)).\nAnswer: -6*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 9:17 AM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -73887, -147780, -221673, -295566?\n\"Answer: -73893*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 6*y**2 + 6*y. Let w = 7 - 12. Let f be v(w). Let l = 3 + f. What is the closest to -1\/4 in l, 1, 5\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 8*w**2 + 32*w - 18. What is s(-9)?\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1721491 divided by 1721491\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -10352*n + 124159. What is i(12)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**5 + 782*s**4 + 60978*s**3 + 586034*s**2 + 471260*s - 3787056 = 0.\nAnswer: -289, -91, -9, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 15*i**2 + 58. Let a = -137 - -123. Let c be z(a). Which is smaller: -139 or c?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4993841 and 164.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 2, -0.01, 133, -0.14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 5, -19, -2, -100?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*v = 52*v - 15 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*w + 2 - 2)*(w - 5*w + 5*w) + 4*w**2 - 4*w**2 + 3*w**2)*(-w + 4*w - 2*w) + 2*w**2 - 2*w**2 + 3*w**3 + (0*w**2 + 0*w**2 - 3*w**2)*(-3*w + 0*w + 2*w).\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24396, -48762, -73098, -97404?\nAnswer: -121680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 3*a = m, 0 = 5*m + 2*a - 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -718*a**3\/3 + 789*a**2\/2 - a - 1068. What is the second derivative of k(c) wrt c?\nAnswer: -1436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -4bb4?\nAnswer: 4bb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 52*n**2 - 53*n + 98. Let v be g(51). Let c = -87 - -90.7. Let q = c - 4. What is the smallest value in q, 1\/4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121102121001121 (base 3) to base 10\nAnswer: -8731276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**5\/20 - m**4\/12 - m**2 - 3*m. Let j be 25\/10*(-12)\/(-10). Let f be p(j). Solve -2*b + f = 2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 3*b = g, -b = -2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*2)\/sqrt(4) - (-2*sqrt(57)\/sqrt(3) - sqrt(19)) - (1*sqrt(171)*-2 + sqrt(171) - sqrt(171))\/sqrt(9).\nAnswer: 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 537\/(-249))*802\/5213?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -1167.4 + 1167. Which is the biggest value? (a) -204 (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/371 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 535 = -5*s - 567, 4*x - 2184 = 5*s. Let c = 1054 - x. Is c a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 3*f = 13, 3*q + 1 = 2*f + 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 115133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 530 = -2*d, 164*d - q - 542 = 166*d. Calculate the remainder when 296 is divided by (-8 - -7)\/(9\/d).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)\/q)**(-9)*q**(-1\/2)*q**0 assuming q is positive.\nAnswer: q**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2767 + 2767.000002073. What is c rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 79.42799 nanoseconds?\nAnswer: 0.00007942799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10431146 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 2. Calculate the remainder when 36 is divided by -3 - ((w + -4)*-7 + 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1815, 3631, 5445, 7257, 9067, 10875, 12681?\nAnswer: 14485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 758791785 to the nearest integer?\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**3 - 3*h**2 - 3*h - 4. Let m(x) = -4*x**3 - 5*x**2 - 5*x - 7. Calculate 3*m(n) - 5*s(n).\nAnswer: -2*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(190) - sqrt(190)*2) + sqrt(190) - sqrt(190)) + sqrt(190)*1*1)\/(2*(sqrt(20)\/sqrt(18) + sqrt(10))).\nAnswer: 21*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -4 + 4 - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28812 is divided by 4622?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*o**2 + 4 - 4)*(72 + 2*o + 59 - 14) - 4*o**2 + 4*o**2 + 2*o**3.\nAnswer: 34*o**3 + 1872*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -24. Let b(w) = 163*w - 2. Is b(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 125*k + 3829. Determine j(70).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + j + 0*j)*(-3*j - 3*j**2 + 3*j) - 2*j**3 + 0 + 0.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**2 - 3*i + 5. Let a(w) = 2*w - 7. Let g be a(5). Let z be u(g). Let t(p) = 30*p**3 + 2*p - 1. Let j be t(1). Is z at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -73\/2 equal to 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 - -80. Suppose -h - 21 = 5*d, -4*h + 9*d = 4*d - l. Let n be (-2)\/h + (-44)\/8. Let c(a) = a**2 + 8*a + 2. Give c(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 237\/11, 6 in decreasing order.\nAnswer: 237\/11, 6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 37 - (50 + 26 + -27)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 36, 55, 80, 111, 148?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 0.3, -4, -1342.\nAnswer: -1342, -4, 0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/8387018 and -51\/1973416.\nAnswer: 33548072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 231 and 308.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -605.386726?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-8) - 14392\/32. Is -24*(x\/(-8))\/(-9) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*b + 88*b - 9*b = 759900. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/7, -0.5, 0.02, 1499, -0.17, 4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63\/4 + 15. Which is the second smallest value? (a) 8 (b) 3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 15, -2\/5, -2, -0.12, 0.2, -0.3983, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48204.52ml to litres.\nAnswer: 48.20452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205*g**2 - 736*g**2 - 116*g**2 - 218*g**2 - 2*g**2 + 48*g**2.\nAnswer: -1229*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 + 7*l - 9. Let n be p(-7). Let k = 13\/30 - 383\/60. What is the common denominator of (-122)\/n - (2 + 0) and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3588, -3682, -3776?\nAnswer: -3870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/798 and -139\/114505932.\nAnswer: 801541524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 2. Let a = 578 - 574. Let x be r(a). Let u(t) be the second derivative of -t**3\/2 + 9*t**2\/2 + t. Calculate u(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 4*b**2 + 3*b - 6. Let r be c(-5). Factor 2*m**2 + 2*m + m**2 + 6*m**2 - r*m**2.\nAnswer: m*(5*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 - (1 - 3) - 2. Solve n = 2*z + 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -275, -509, -781, -1103, -1487?\nAnswer: -1945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1321143 - 3?\nAnswer: -1321201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from hhjhjhjf?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78082 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283611267?\nAnswer: 3, 10504121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -100, -279, -548, -907, -1356?\nAnswer: -1895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and -296.3.\nAnswer: -2370.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*g**3 + 10589556*g**2 + 7059707*g + 1176618.\nAnswer: -(g - 1176618)*(3*g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2866042719?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 750741 and 54?\nAnswer: 13513338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jlg when three letters picked without replacement from {l: 1, j: 1, s: 1, g: 2, m: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3513 - -2320352?\nAnswer: 2312435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 3*t - 40. Suppose 5*r - 3*c - 50 = -6*c, -t*r + 4*c = -15. Solve r = -3*n + 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-4) + 178\/4. Suppose -6*i + j = -4*i. Calculate the remainder when i is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-21)*v**5)**(-18\/11) assuming v is positive.\nAnswer: v**(288\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -88, -223, -446, -757, -1156, -1643, -2218?\n\"Answer: -44*q**2 - 3*q - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(833)*1 - sqrt(68)\/(sqrt(12)\/sqrt(3))) - (sqrt(17) + -2 + sqrt(17) + -4 + -3 + sqrt(68))*6)**2 + -3.\nAnswer: -5184*sqrt(17) + 42081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + 8. Calculate the lowest common multiple of d and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 178*-2*(-1)\/4. Let b = j - 61. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9471812 divided by -2367953.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.614 - -6.61390344. Round x to six decimal places.\nAnswer: -0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 365729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 11:08 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 + 3*l - 9. Let x be a(6). Let r be 6*(-3)\/(-2)*-5. Let z = x + r. Is z a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -6*o - 39, -301*o + 3*q - 23 = -299*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.4 and -0.9382096.\nAnswer: -2.3382096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 11)\/((-3)\/(-2)). Is (-50)\/(-4) - 3\/g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 356 - -4?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48*i + 109.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -14. Let l(x) = x**3 - 2*x**2 + 1. Let a be l(f). Let v = -10 - -10.4. Is a less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c, -797 = 3*g - c - 173. What is the remainder when 4\/(-6) + g\/(-6) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3522\/5 + 705. What is the fourth biggest value in 2, 2\/13, -19, f?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 1915032?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttvttvttvtttvt. What is prob of picking 3 t?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 29*i + 2*i**2 - 1\/40*i**5 + 1\/4*i**4 + 5\/4*i**3 + 0. Factor n(o).\nAnswer: -(o - 8)*(o + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bggyzmmmbzgg. Give prob of picking 1 m, 2 b, and 1 z.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + k**4 - 2 + (3 - 4 - 1)*(3 + 2 - 3 + (2 + 3 - 6)*(-1 + 4 + 2))*(3*k**2 - 3*k**2 + 2*k**4).\nAnswer: 13*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, t: 4, m: 10}. Give prob of picking 1 m and 2 d.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 485875033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, z: 1, s: 1, n: 10}. What is prob of sequence soo?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 p when three letters picked without replacement from wwttattataewapaw.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*p - 218*p = 42. Let f(t) = 2*t + 12. What is the remainder when 598 is divided by f(p)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, b: 1, s: 5, t: 9, q: 1}. What is prob of sequence tbs?\nAnswer: 5\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3105 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -111*y + 13. Suppose 10 = -2*d + 2. Let a be b(d). Suppose 5*f = w + a, -2*f - 5*w = f - 263. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-4))\/(2\/(-16)). Let x be (d\/10)\/(3\/(-15)). Let v = 7 - x. Put -4, -0.4, v in ascending order.\nAnswer: -4, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14c8 - 50?\nAnswer: -1528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 4*i + 4. Let f be s(-4). Suppose 0*v + 20 = 3*v + 5*b, 4*b = 5*v - 21. Solve v = -f*t + a, -2*t + 2*a = 8 + 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -25, -2\/11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 23*l**2 + 18*l - 20. Let u(t) = -37*t**2 - 27*t + 30. Let j(h) = -8*q(h) - 5*u(h). Let o(g) = -g**2 - 5*g + 3. Let b be o(-4). Give j(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (1 + (1 - -2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 394477567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f = -8 - 11 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*s = 151*s - 462 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/(-2) + (-17000)\/(-5648) and 19\/4?\nAnswer: 1412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104 and 5538.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 + 2 = -584*t + 580*t + 3*j, 5*t - j = 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 33 times 3092\nAnswer: 102036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.12 - -3. Let f = p - 0.68. Let x = -3.2 + f. Which is the closest to -0.1? (a) 4\/7 (b) x (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52 and 5732.\nAnswer: 74516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 14*z**2 + 17*z - 56. What is l(13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f*k**4 - 17050*f*k**2 - 32748*k**4 wrt k?\nAnswer: 48*f*k - 785952*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 864\/(-27)*((-5)\/2 + 2). Calculate the highest common divisor of 80 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.26893 + -2.\nAnswer: -2.26893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2 + 2*q**2 - q**2. Let v(s) be the second derivative of -4 + 0*s**2 - 3\/2*s**4 + 0*s**3 + 10*s. What is v(g(i))?\nAnswer: -18*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/5)\/(1\/(-2)). Suppose -3*m + t*m + 18 = 0. Calculate the least common multiple of m and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 + 228*t**3 - 229*t**3 - t + t.\nAnswer: -t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177436 is divided by 1009.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of k**5\/20 - 37*k**4\/12 + 49*k**3\/6 + k**2 - 19. Let v be r(24). Is 2\/47 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 483250 to the nearest ten thousand.\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f**2 - f - 4. Let t(a) = -6*a**2 - 5. Let h(z) = -5*c(z) + 4*t(z). Let x be (0 + (-35)\/10)*2. Calculate the lowest common multiple of h(x) and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -2\/3*q**3 + 0*q**4 + 56*q**2 + 0*q**5 - 80 - 67\/6*q**6 + 0*q. Find the third derivative of r(b) wrt b.\nAnswer: -4020*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 2*q + 21. Which is the smallest value? (a) -1 (b) q (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -173 - -173. Suppose v = m + s, 4*m - s + 4 = 7*m. Suppose 4*w - 3*f - 17 = 0, -3*w - 2 = 3*f + 1. Solve w*r - 3*j = m, r + 0*j + 2*j + 13 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 57 + -26?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4110.\nAnswer: 2, 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 i when three letters picked without replacement from itiitiiiiiiiitii.\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-35520.86.\nAnswer: -7104.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -99232092 divided by -6\nAnswer: 16538682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*s - 5 = 3*s, 18 = 3*x - s. Let r be (-1)\/x + 183\/15. Suppose 0 = 3*k + r - 21. Solve k*b = b + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 9*u**2 - 22*u - 2238. What are the prime factors of c(58)?\nAnswer: 2, 13381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 164 and 287.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-6 - -4) + (3 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-4*(sqrt(228) - -1*sqrt(228))*1)\/((1*sqrt(132)*5)\/(sqrt(11) + sqrt(1331)*1)).\nAnswer: -384*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1399 + 11a1?\nAnswer: 257a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -21.9. Let r = w - -15. Which is the third biggest value? (a) r (b) -3\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8038 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (124 - 1)\/((-3 - 6)\/(-54)). Suppose -2*p = -5*n + x, -2*n = -p + 4*p - 280. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/140)\/(-3*2\/12)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8828579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/10)\/(24\/96)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -121*k**3*u*w**3 + 4*k**3*u*w + 2*k**3*w**2 - 2*k**3*w + 1144*k**2*u*w**3 + 2313*w**2 wrt w?\nAnswer: -726*k**3*u + 6864*k**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - 1 + 1)*(0 + 0 + 2*d) + 0*d**3 + 3*d**3 - 4*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 24*x + 3948. What is r(-49)?\nAnswer: 2772","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8526 divided by 294.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -1266*r - 10662 + 10662 - 6425*r in the form t + o*r and give o.\nAnswer: -7691","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451542 is divided by 349?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 387, 397, 421, 465, 535, 637, 777?\nAnswer: 961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*n - 27, -11*n - 8*n + 18 = 2*o - 16*n + 1 + 6 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t - 19. Let b(a) = a + 6. Let p be 2*1\/(-1) + -20 + 24. What is p*j(x) + 7*b(x)?\nAnswer: x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 9*u + 21. Let q be 1\/(-15)*3 + (-442)\/(-85). Give b(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bttt when four letters picked without replacement from bbbbttbbttb.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -43, -50, -59, -70?\n\"Answer: -l**2 - 4*l - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m**3 - 2*m**2 - 2*m - 3. What is the units digit of r(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5 - 302*u**4 + 23692*u**3 - 134984*u**2 + 265216*u - 175232.\nAnswer: (u - 148)**2*(u - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/3 (b) 5\/3 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0.4 (b) 49.7 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -301 - -307. Suppose -128 = -4*a + 944. Suppose -a + 34 = -m*s. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -5*z. Let o(c) = 3*c - 7 - 5*c + 7. Give a(o(f)).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 1006.\nAnswer: 2012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 3*u - 7. Let a be f(5). Let r be 1*(0\/a)\/(-3). Sort r, -4, 5.\nAnswer: -4, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 552 and 828?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/5 - (-16)\/(-1). Sort -3, 5, h in descending order.\nAnswer: 5, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0146306 rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 65157600 rounded to the nearest one hundred thousand?\nAnswer: 65200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*v = 211947 - 212437 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 5:48 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-81)\/(-36))\/(2\/(48\/18)). Let p = -8 - -5. Sort -5, s, p, 1 in decreasing order.\nAnswer: s, 1, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(128) + -2*sqrt(128)*3)**2 - ((sqrt(2) - (sqrt(2) + sqrt(4)\/sqrt(2))) + 5 + -5)*-6.\nAnswer: -6*sqrt(2) + 3200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*a = 128*a + 118*a + 970 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**2 - 2*y**2 + 1 - 3*y**2)*(-69 + 7*y + 69).\nAnswer: -7*y**3 + 7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1825187 and -16.\nAnswer: -29202992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37558730*q**3 + 472181*q - 97 wrt q.\nAnswer: -225352380*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 3:56 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6480818093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*l + 49*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2336, -5000, -7664?\n\"Answer: -2664*n + 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*x**2 + 8*x**3 - 2*x**3 + 4*x**2 + x**3 + 1 + 5*x**2 as d*x + k*x**3 + q*x**2 + r and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.783 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/5, -2\/7, -674.\nAnswer: -674, -4, -2\/5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 815.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 323505 and 14781?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 59*z + 117 with respect to z.\nAnswer: 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20.758 + -0.042. Let g = j - -21. What is the nearest to 1 in -2\/3, 4\/7, g?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -10. Let n be (4 - y)\/2*6. Find the third derivative of -24*h**3 + 6*h**n + 10*h**3 + 4*h**3 - 11*h**2 wrt h.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -487433*k - 487389*k - 487391*k + 1462214*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - -8) + (-14)\/(-2). Let j be (-73)\/(-6) - s\/66. Solve -4*g = -j, z - 2*g + 0 = -6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rffofsifivifr. Give prob of sequence vi.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, a: 1, s: 3, g: 4, n: 2, p: 3}. Give prob of sequence hh.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m + 4 = 22*m. What is the least common multiple of 4 and (-3776)\/(-80) + m\/(-10)?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89 + -25121.\nAnswer: -25210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) 0.07 (c) 3\/4 (d) 0 (e) 0.57279\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (33 - (60 - 29)) + (4 - 27) + -15?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.075 + -3.5. Let g = 0.025 - j. Let o = g + -5. Which is the nearest to 2\/7? (a) 5 (b) o (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*g**2\/5 - 426174*g\/5 - 19502208.\nAnswer: -3*(g + 15552)*(9*g + 2090)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 903.\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 23 = -7. Let l(u) be the third derivative of u**5\/60 - u**4\/8 - 2*u**3\/3 + 4*u**2. Let a be l(5). Solve -t*z - a = z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(2\/3))\/p)**(1\/16)\/(p**16\/p**8) assuming p is positive.\nAnswer: p**(-193\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l + 430 - 429 - 10*l. Let s(f) = -13*f + 3. Give 9*a(w) - 4*s(w).\nAnswer: -2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 183, 1473, 4977, 11805, 23067?\n\"Answer: 185*h**3 - 3*h**2 + 4*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.017 (b) 8 (c) 13\/3 (d) -2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 440636504.\nAnswer: 2, 7, 11, 65029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5539, 4625, 3103, 973, -1765?\n\"Answer: -304*b**2 - 2*b + 5845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -3*k + 18. Suppose -6*y = -4*y - w - k, 10 = 5*w. What is the highest common factor of 50 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1081, -4, 30 in descending order.\nAnswer: 30, -4, -1081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 + 4*j + 1. Suppose -2*i + i - 3 = 0. Let d be o(i). Let q = 583 - 527. Calculate the highest common divisor of q and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -c**7\/70 - 33*c**6\/8 - 1722*c**5\/5 - 1681*c**4\/2 + 13674*c**2. Find j, given that a(j) = 0.\nAnswer: -82, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 2*x - 1. Let z be g(1). Is (-1*z - -167) + -2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4*(sqrt(500)*-2*2 + sqrt(500)*2 + 5) - -6*3*5*sqrt(500)*2)**2.\nAnswer: -75200*sqrt(5) + 17672399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -113*h**3 + 6*h**4 + 154*h**3 + 1 + 10*h**4 - 18*h**4 + 474*h**3 as d + g*h**2 + p*h**3 + f*h + u*h**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 38, 86, -1, 8, 1 in increasing order.\nAnswer: -5, -1, 1, 2, 8, 38, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/((h*h\/(h**(-6\/7)\/h))\/h))*h)\/h*h**(-4))\/(h**(3\/2)\/(h*h\/h**(-2)*h)) assuming h is positive.\nAnswer: h**(33\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 8 - 9*v**2.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 3*d - 6. Let z be v(5). Suppose 6*a - 5*a - z = 0. Suppose -a*g - 7*r = -5*r - 114, -5*g - r = -138. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 479 = 5*z, -2*z - 170 = -g - 25. Suppose 942 = -5*s - 2*d + 203, 5*d = -2*s - 304. Let i = s - g. Round i to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -551*q = -3*i - 549*q + 14, -i = -q - 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) -1 (c) 96\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o + 3*o + 130 + 0*o.\nAnswer: o + 130","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -120 + 124. Suppose 1221 = 3*b - 3*l, 171 = -a*b - 4*l + 1815. List the prime factors of b.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -3, 0, 8 in ascending order.\nAnswer: -16, -3, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 equal to -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1926, -1925, -1922, -1917, -1910, -1901?\n\"Answer: i**2 - 2*i - 1925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2\/3 + 20*n\/3 - 5.\nAnswer: -5*(n - 3)*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -7*n - 71. Let k be x(-9). Let t(y) = y**3 + 9*y**2 + 6*y - 5. What is the remainder when 63 is divided by t(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.60573 centimeters to kilometers.\nAnswer: 0.0000460573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + t + 0*t)*(3*t**2 + 0*t**2 - 4*t**2) - t**3 - t**3 + 0*t**3 - 6 + 9 - 4 - t**3.\nAnswer: -2*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2805979 and -25?\nAnswer: 2805954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23 take away 210681.7?\nAnswer: -210681.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7615?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/4))**(-13\/3)*o**8*o*((o**(-1\/16)\/o)\/o*o)\/o assuming o is positive.\nAnswer: o**(281\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -55*k - 1. Let z(j) be the first derivative of -19*j**3\/3 + 793. Give l(z(m)).\nAnswer: 1045*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 438 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2472, -10345, -23466, -41835, -65452, -94317, -128430?\nAnswer: -167791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -494, -1964, -4440, -7922?\nAnswer: -12410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 419?\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -2\/15 (c) 0 (d) -6\/77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 2*t + 6. Let n be -2*(4 - 15\/6). Let y(p) = p**2 - 2*p - 5. Let d(u) = n*o(u) - 2*y(u). Find w, given that d(w) = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 5*n**2 + 3*n - 9. Calculate p(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 4*a + 4. Let i be u(-1). Let j be 1036\/56 - i\/2. Solve 4*k = -2*v - j, 0 = -3*k - 4*v + 6*v - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 319*c**4 + 10736*c**3 + 8332450*c**2?\nAnswer: 7656*c + 64416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(4\/9)*o*o)\/o**20 assuming o is positive.\nAnswer: o**(-148\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, -5, -27, -57, -95?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.8 - 2.26. Let i = s - 3.44. Let f = i - -2.89999892. What is f rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 640 and 380?\nAnswer: 12160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1633878425?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -117 + 120. Let r be k\/(-12)*3 - (-15)\/4. Suppose r*v + 5*t = 53, 3*t + 17 - 95 = -4*v. Calculate the remainder when 167 is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27291 and 1081716.\nAnswer: 11898876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1530 and 1440?\nAnswer: 24480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - (-132)\/70)\/(8*(-7)\/140). Which is the nearest to 7? (a) 3 (b) 4 (c) -2\/23 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -10950?\nAnswer: -1094a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-3) - (-112)\/24. Suppose 5*n - 36 = -4*x, x + 5*n - 9 = 15. What is the second derivative of -x*i - i**5 - i**w + 3*i wrt i?\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**5\/11 - 6238*x**4\/11 - 12492*x**3\/11 + 24964*x**2\/11 + 12490*x\/11 - 18726\/11 = 0 for x.\nAnswer: -3, -1, 1, 3121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 13. Suppose 5*g - z = w - 39, 4*g - 9 = -5*w. Let i be (-38)\/84 - g\/14. Which is the third biggest value? (a) -1 (b) 0.3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1869*f**2 - 310*f wrt f?\nAnswer: -3738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -2. Let y = 0 - -3. Differentiate -y + 2 + 0*w**3 + o*w**3 with respect to w.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117978181 is divided by 98?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18\/21)\/(2\/98). Let q be (-480)\/56*a\/(-4). Suppose 8 = y + 4*c, q = 3*y - 5*c + 15. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/5))**(-18\/11))**5\/((x**(-2\/7)*x)**(-2\/123))**(8\/5) assuming x is positive.\nAnswer: x**(-30820\/9471)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7756223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 o, 1 t, and 1 j when four letters picked without replacement from {z: 1, e: 1, j: 1, o: 1, t: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 244, 1897, 6264, 14653, 28372?\n\"Answer: 218*d**3 + 49*d**2 - 20*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -114 + 117. Suppose -r*q - 2*x = -5*q, q + 5*x = 0. Suppose -t - 10 = -2*p + 1, q = -2*t + 2. Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1151\/2 + 1735\/3. Find the common denominator of 109\/120 and m.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 551561156.\nAnswer: 2, 229, 602141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 718.571 - 1525.7\nAnswer: -807.129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -778620 by 2.\nAnswer: -389310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*y = 20, -3*a - 5*y = a - 36. Suppose d = g - 2, 2*g = -0*d + 5*d + 4. Determine s so that 0*s**g - 4*s**a + 5*s**4 + 2*s**3 + s**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.878442 rounded to two decimal places?\nAnswer: 8.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 7 - -9)*-7*26\/(-91).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1044 - 2196 = -9*t. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 13. Suppose -4*t + o + 2 = 0. Suppose 5*l - t*l = 795. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-10*-10*3\/24*(-1880)\/(-11750)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1871 + 7553\/4. Calculate the common denominator of w and (-6)\/(-40)*5*3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30132 + 31?\nAnswer: -30101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20518482 by 258.\nAnswer: 79529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*x**2 + 9 - 27*x**2 + 41*x**2 - 5*x + 1 + 5*x**3 = 0 for x.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/1 + (-72)\/(-6). Suppose y = 4*l - 5. Calculate the smallest common multiple of l and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z - 13. Let o(r) = r. Let u(n) = 3*o(n) - x(n). Let k be u(8). Let s be (k + -2)*1\/3. Solve 0 = -3*t - 2 - s for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 - 22. Let j be 2\/(-7) + (-90)\/(-21). Suppose -2*f + 2*l = -18, -j*f + f + 29 = -2*l. Calculate the remainder when a is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w**2 + w + 2. Let p be v(-2). Let c = -3 - p. What are the prime factors of c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.02 (b) -56 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2567, -5124, -7677, -10226, -12771, -15312, -17849?\n\"Answer: 2*m**2 - 2563*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -54*s + 3. Let y(d) = -1193*d. Give y(b(m)).\nAnswer: 64422*m - 3579","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 515477 is divided by 723?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 53*u + 136. Is i(-52) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x + 15. Let p = 59 - 59. Suppose c - 6 = -p. Let t be l(c). What is the biggest value in 0.12, 0.5, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 14*f**2 + 10775*f + 74680. What is h(-7)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -13 - -39 - 38?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 403267 = 477123. Round x to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-11)\/r*r)\/(r**(6\/7)*r))\/(r*r*r*r\/r**(-5)*r*r*r**(-4\/5)) assuming r is positive.\nAnswer: r**(-807\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -94, 2, 1, -323 in descending order.\nAnswer: 5, 2, 1, -94, -323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x**2 - 448*x + 28. Calculate g(-112).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.526 and 89.2.\nAnswer: 87.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2281.2361 or -5\/6?\nAnswer: -2281.2361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5551622 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 3*y**2 + 4*y + 4. Let o be h(-4). Let x be 1769\/203 + -9 - ((-510)\/21 + -1). Solve -9 = o*k - x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 - -38. Put -2, 1, -1, q in ascending order.\nAnswer: -2, -1, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 17*c**5\/60 - 1214*c**2. Let x(m) = m - 4. Calculate x(s(a)).\nAnswer: 17*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -261 - 53*q**3 + 384*q**5 - 383*q**5 + 112*q**3 - 59*q**3 - q**2 + 6*q + 4716*q**4 wrt q?\nAnswer: 60*q**2 + 113184*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-1*sqrt(1331) + sqrt(1331) + sqrt(1331))*-2 + (-3 + sqrt(1331) + 1)*-2)*-6.\nAnswer: -42 + 264*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = p - 5*y - 2, 0 = -2*p + 2*y + 4. Is (-73)\/(1\/((-2)\/p)) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 15 = 4*s. Let d be ((-7)\/((-21)\/(-82)))\/(1\/s). Let a = d - -112. What is the smallest common multiple of 12 and a?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 + (2511\/(-351) - 2\/(-13)). Let s(b) = -3*b**2 + 3*b - 1. Let g be s(2). Put g, -2, z in increasing order.\nAnswer: g, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*f - 54 = 137*f. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**(-18))\/c*(((c*c\/c**(1\/7))\/c)\/c)\/c*(c*c**(1\/14)\/c*c)**21 assuming c is positive.\nAnswer: c**(565\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5934 (b) -4 (c) 1 (d) 78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13097 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2498243 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 285257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 227078787 and 17589.\nAnswer: 1599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 101*l - 657. Let r be u(30). What is the highest common factor of 42 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*w - 20 = 0, -u - 2*w + 11 = 1. Let b(y) be the second derivative of 1\/3*y**3 - 1\/2*y**2 + u + 4*y. Give b(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(-4*sqrt(72))*-6 - ((sqrt(637))**2*2 + (sqrt(13) - 6*(2 + sqrt(13)))**2).\nAnswer: -1743 - 479*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (553\/77 - (6 - 1)) + (-4)\/22?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -18370862*u**3 + 39242*u**2 - 39242*u + 58863. Let l(d) = -2809*d**3 + 6*d**2 - 6*d + 9. What is 39242*l(b) - 6*r(b)?\nAnswer: -5606*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + k - 3. Let q be r(0). Let m(j) = 4*j + 3. Let u(v) = -7*v - 5. Let i(w) = 10*m(w) + 6*u(w). Let y(d) = 1 - d - 1. Calculate q*y(c) + i(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -d + y - 225, 135 = 3*d - y. Suppose -5*u = -0*u - d. Calculate the smallest common multiple of u and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 66585 = -33625. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12210 - 1002001?\nAnswer: -1021211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**2 - 194*m**3 + m**3 + 0*m**2 + 4202 + 29 wrt m.\nAnswer: -579*m**2 + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 11:59 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(90)\/sqrt(2))**2 + 3 - (5*sqrt(10)\/sqrt(2) + ((sqrt(135)\/sqrt(3))\/sqrt(9))**2)).\nAnswer: -5*sqrt(5) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 429282 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-21 + 8 - -10) + 4 - 1) + 11 + -1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((2 - 8) + 0 - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 208332?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 47*s - 127. Suppose -13*h + 3*m + 164 = -17*h, -5*h = 2*m + 212. Let y be f(h). Solve 0 = -k + y*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 4*i + 176 = 0, 0 = -15*i + 92*i + 3003 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 278969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(-26 + 7 - 5*r + 12*r).\nAnswer: -14*r + 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1079 (b) -2\/11 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -836612, -836727, -836842, -836957?\nAnswer: -837072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pippppppppippppppi. What is prob of picking 2 i?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6489324 or 6489317?\nAnswer: 6489324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4 - 2 - 2 + 2 + 10*c. Suppose 2*r - 11 + 3 = 0. What are the prime factors of j(r)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 163.9 + -164. Which is the fourth smallest value? (a) 12 (b) 4 (c) y (d) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4575, 9141, 13697, 18243, 22779, 27305?\nAnswer: 31821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/32, 3\/2, 2\/45 in decreasing order.\nAnswer: 3\/2, 2\/45, -1\/32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t**5 - 36*t**4 + 48*t**3 + 160*t**2\/3 - 224*t\/3 + 64\/3 = 0.\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 smaller than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3600630*q**3 + 4985864*q**2.\nAnswer: 21603780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**4\/5 + 466*w**3\/5 + 544998*w**2\/5 - 26999506*w\/5 + 26454044\/5 = 0?\nAnswer: -446, 1, 47, 631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**2 - 3*y - y + 5*y - 1 + 6*y**2. Let i be c(1). Sort 1, i, -4 in descending order.\nAnswer: i, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-102 - (-13208)\/130)*175?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (4 - (0 + 0 - 1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1059 + -1.47.\nAnswer: -1.5759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zcc when three letters picked without replacement from {r: 1, m: 4, l: 1, x: 2, z: 2, c: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*l**2 + 158 + 3*l + 698*l**4 - 12*l**2 + 154 - 314 as b*l**4 + q + n*l**3 + j*l + r*l**2 and give b.\nAnswer: 698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h + 27. Suppose -4*d + 18 = -42. Let v be j(d). Suppose -4*q + v + 116 = 0. Is q a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -50*s**2 + 29*s - 7. Let g(m) = 28*m**2 - 15*m + 4. Determine 7*g(w) + 4*y(w).\nAnswer: -4*w**2 + 11*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-271*x + 722*x + 263*x - 3)*(-2 - 4*x - 4 + 3*x + 3 + x - 3 + 0*x + 2*x + 0*x + (1 - 7 + 4)*(-x + 2*x - 2*x)) in the form o*x + r*x**2 + w and give r.\nAnswer: 2856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13496 and 27700540.\nAnswer: 55401080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 10. Solve n = 2*p + 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43343.\nAnswer: 89, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w - 377 + 2708 = 357. Solve w*g = -20*g + 684 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -41405*a**3\/3 - 842205*a**2 - 18505*a - 305\/3 = 0.\nAnswer: -61, -1\/91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 20*k. Let p(s) = 2*s - 37. What is p(i(b))?\nAnswer: 40*b - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7964 + -5144. What are the prime factors of j?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2060?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6076\/8)\/7*2. Suppose 3*g - 589 = -4*j, 4*j = 2*g - a + 811. Suppose -3*o + j = 5*q, 3*o + q + 3*q = 143. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33430?\nAnswer: 2, 5, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**3 - 53*t**2 - 344*t + 9. What is n(-15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 + (5 - (-56 + 13))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 3*z - 14. Let x be (3\/z)\/((-21)\/448). Suppose 4*w + 30 + x = 2*i, 3*i - 4*w - 85 = 0. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 3*h + 27294 - 27234 = 0, 60 = 3*h for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 11 - 52 = -11*p, 5*p = -2*x + 6480 - 6462 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a tonne in kilograms?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**3 - 26*h**2 - 161*h - 10. What is the units digit of m(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3385 is divided by 3380.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -6*n**2 + 137*n + 1299. Give k(30).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -215443552 by -62.\nAnswer: 3474896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 58.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 - (-6 - (-49 - -100)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - c**2 + c + 2. Let r be k(0). Find the second derivative of 3*y**5 - y + 5*y + r*y**5 - y**5 wrt y.\nAnswer: 80*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3410 - -24?\nAnswer: 3434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*m + 10*m - 46 - m + 0*m - 2*m**2 as t + k*m + d*m**2 and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -0.2 (b) 2\/7 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/4)\/(42\/(-16))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 + 63. Let t be ((-284)\/(-12) - 9)*m\/8. Solve 2*q = 4*x + 18, 3*x = x - 3*q + t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 6*u**2 - 3 + (-2*u**2 + 3*u**2 - 2*u**2)*(1 - 4 + 4) + 3 - u**2 - 3)*(35205 - 213*u**3 - 35205).\nAnswer: -852*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8+5.1\nAnswer: 13.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*m + 87*m = -48. Suppose -2*o + 10 = 2. Let y = o + m. Solve -4*a = -3*a - 5*w - y, -4*a - 2*w = -14 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -311747702 divided by 44535386.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21020241 - 101004?\nAnswer: -21121300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (-20)\/3*-15. Let v = -526 + 519. Let o = n - v. What are the prime factors of o?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.16 and 2177.\nAnswer: 2177.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*v - 4652 = 0, -3*j - 2*v - 6998 = -3*v. Is -2336 greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1159331808.\nAnswer: 2, 3, 383, 31531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -1105\nAnswer: 1105.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.52 + -0.72. Round z to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -c + 2582. Suppose -2*u + c = 4*n, -n + 2*u = -0*u - 670. Suppose 0 = 2*d - 5*d + n. Does 39 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-392)\/364)\/(102\/1989)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 234, 1 in decreasing order.\nAnswer: 234, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-12) - (-506)\/(-8). Let u = o + 314. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -64. Let d = i + -18. Let x = 33 + -23. Calculate the remainder when d is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2*t + 12 = 0, t = -5*b + 5*t + 29. Suppose b*w + 5 = 5. Solve 4 = -5*j + 3*h - w, 5*j - 2*h = -6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddlddlddddddld. Give prob of picking 2 l.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 102 - k**4 + 3*k**3 + 5*k - k**2 - 32 - 37 - 35 to y*k**4 + c + x*k**2 + u*k**3 + z*k and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -4\/11 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 145681\/36020 + 10\/1801. Calculate the common denominator of d and 59\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4 = -6*l. Solve -5*n + 2*k = -19, 2 = -3*k - l for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1350946\/3 or 450315?\nAnswer: 1350946\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39995.4897 - 39991. Round f to one decimal place.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -35?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 150*d - 1272. Give q(8).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 2 - (-3 - 0)) + 51 - (-14 + 23)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3003296*t**2 + 32516*t - 8129. Let r(l) = -739*l**2 - 8*l + 2. What is -8129*r(f) - 2*u(f)?\nAnswer: 739*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -175 - -241. Let i be 2\/(1 + 4\/(-6)). What is the highest common divisor of s and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*s - 8*s + 8*s)*(-4*s**3 - 3*s**3 + 5*s**3).\nAnswer: -36*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17953584 by 5514.\nAnswer: 3256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 8*p**2 - 85*p - 529. Calculate r(-6).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 97514.75 decades?\nAnswer: 11701770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 2*w - 1. Suppose 2*q - 12 = 32. Suppose -2*f + 3*b = 0, 2*f + 5*b = 6 - q. Calculate v(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -77 < 343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*g - 3*g + 28*g to j*g + f and give j.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3\/4 + 4990451*g**2\/4 + 518845650052*g - 172948688641.\nAnswer: (g + 831742)**2*(3*g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, p: 4, w: 2}. What is prob of picking 1 w and 3 g?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -18.77 * -0.3\nAnswer: 5.631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*b**2\/3 - 39302*b\/3 + 11228\/3.\nAnswer: 2*(b - 2807)*(7*b - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**5 - 30*s**4 + 52*s**3.\nAnswer: 2*s**3*(s - 13)*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v + 6. Let u be b(5). Suppose 3*k - 3*q - 3 = 0, 4*k - 5*q + 1 - 3 = 0. Suppose -k*w + u = -5. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*f**2 - 394*f + 19*f**2 + 682*f - 288*f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + 968\/33*(-42)\/(-2). Let h = -619 + w. Solve -o = 4*d - 6*d + 2, -h*o - 10 = 2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 6:16 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9266003.\nAnswer: 17, 47, 11597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxmm when four letters picked without replacement from {x: 2, m: 6}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(304))*5 + -1 + (-2 + 0 + sqrt(304) - 6*(-1 + sqrt(304))))**2*-5.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvnyvvvvvvvnvvvny. Give prob of picking 1 v and 2 n.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (41 - 30 - (0 + 1)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of t**5\/60 + t**4\/12 - 7*t**3\/6 - 6*t**2. Calculate the smallest common multiple of 8 and v(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -5*v + 5070. Suppose -5*k = -2*p - v, -4*k = -2*k - 2*p - 338. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3884 is divided by 3877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 413, 885, 1361, 1841, 2325, 2813, 3305?\n\"Answer: 2*l**2 + 466*l - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1201687g to kilograms.\nAnswer: 0.0001201687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3300 = -250916*m + 250816*m for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*w = 52, -2*v + w - 37 = 2*v. Let n = -8 - v. Suppose 0 = -0*l + n*l - 200. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = p + 34, -39*p + 2*l = -34*p + 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*v + 28. Suppose 0 = y - 2*x - 5, -2*y = -0*y + 5*x - v. Solve 0*q = -3*q - y for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4936*r**3*w**2 + 44*r*w**2 + 279*w**2 - 954*w wrt r?\nAnswer: 14808*r**2*w**2 + 44*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4085118, -8170265, -12255412, -16340559, -20425706?\n\"Answer: -4085147*w + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 5 (c) -5 (d) 3529 (e) 167 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2112\/19 in -1\/4, -0.1, 0.2354, 0.2?\nAnswer: 0.2354","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/2 + 423*l\/2 - 210.\nAnswer: -3*(l - 140)*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5*x - 4. Suppose k + 5 = -4*k - 5*l, 4*k = -l - 13. Does 8 divide m(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.391 + -4.22. Are -2 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -13 + 0 + 40 + -13 - 63?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 960250 = 66*z + 59*z. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6290*h + 13754 = 5232*h for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/17)*u*u**(-4\/7)*((u*(u\/u**(-1\/4))\/u*u)\/u)**14 assuming u is positive.\nAnswer: u**(4239\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-2)\/(-21) + (-1326624)\/(-1638)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 32\/24*45\/(-3). Let k be -2 - (55\/o + 1). Is k less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -2\/7 (c) -5 (d) 3093\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 79 = 90. Is 9 a factor of o\/2*-4 + -5 + 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91463913?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55 - 41. Let i be 21*(2\/(-6) + 1). Calculate the highest common factor of i and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*s**4 + 8445*s**3 + 1950151 wrt s?\nAnswer: -12*s**3 + 25335*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*d = -55*d - 3. What is the common denominator of 4 + (d - (-5)\/30) and -19\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 722.8275 millennia in decades?\nAnswer: 72282.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 - 3. Suppose -2*a - 5*l = -24, -2 = 3*a - 4*l + 8. Suppose a = -j - 1. What are the prime factors of i(j)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 12*u - 63 = -2*y - 183, 26*u = -260 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 507213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 8 - 2*a - 11 + a**2 - a. Let n(b) = b**2 + b + 1. Let s(m) = -m**3 - 11*m**2 - 10*m. Let x(k) = 4*n(k) + s(k). Let g be x(-6). What is v(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 4*d - 2. Let h be -26*((-1)\/d + 0). Let j = -14 + h. Put 5, -2, j in decreasing order.\nAnswer: 5, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.338 rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -685*h - 20265 = -4510 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -12*w. Let c be 2 + (-1 - 1)\/(-2). Let u(h) = c*h - 1 + 1 - h. Calculate u(f(k)).\nAnswer: -24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 20*z**2 - 13 + 5.\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 79988328 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -7 + 5 + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7269, -9673, -7217, 99?\n\"Answer: 2430*w**2 - 9694*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/2*3 - -9) + 0. Which is the closest to -4? (a) -15 (b) -0.2 (c) r (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1068*x - 7 + 534*x + 7 + 535*x - 3.\nAnswer: x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 6:36 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 28449, 114329, 257463, 457851, 715493, 1030389?\n\"Answer: 28627*b**2 - b - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-403 + 5*r**2 + 403 - 79*r)*(-3*r + 3*r + r).\nAnswer: 5*r**3 - 79*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 331521455 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -277, 1022, -8 in ascending order.\nAnswer: -277, -8, 5, 1022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*m**2)*(-m + m - m) - 4*m**3 - 4*m**3 + 0*m**3.\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 7\/7454?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s + 25. Let k(q) = 2*q + 17. Give -7*k(l) + 5*w(l).\nAnswer: l + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -391 or -393?\nAnswer: -393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, s: 6, x: 6, l: 2, d: 2}. What is prob of picking 3 x and 1 l?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 10*z**2 + 4*z - 20. Is f(10) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -1, 37987, -6 in decreasing order.\nAnswer: 37987, -1, -6, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -143449 and 3.\nAnswer: -430347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4238537*b**3*s**6 + 2*b**3*s**2 - 8*b**3*s - 24*b**2*s**2 - 67*b*s**2 + 5*s**2 wrt s.\nAnswer: -508624440*b**3*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10693347?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 115, -2, 1, 5 in descending order.\nAnswer: 115, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 - -11011100000010100010?\nAnswer: 11011100000010101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19008136*u**2 - 70457925 wrt u.\nAnswer: 38016272*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3997 + 0.3997. Which is the third smallest value? (a) w (b) -4 (c) 3 (d) -0.22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 565130351?\nAnswer: 565130351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 12:08 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*a**3*k*x**3 + 5*a**3*k*x**2 - a**3*x**3 + 23*a**2*k*x**2 - 2*a**2*x**3 - 2*a**2*x**2 - 3*a*k*x**2 wrt a?\nAnswer: 84*k*x**3 + 30*k*x**2 - 6*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 + -61. Let u = -0.199 + 4.239. Let q = u + -0.04. Sort p, q, 1 in increasing order.\nAnswer: p, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4073 = 1026*c + 6849 + 609 + 781 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 134 - 132. Suppose 308 = i*o + 300. Solve -2*b = 5*x - 35, 3*x + 25 = 4*b + o*x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, t: 1, x: 1, s: 2, z: 1, n: 1}. What is prob of picking 2 n and 1 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b2a75 (base 16) in base 8?\nAnswer: -16625165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*f + 426. Does 12 divide 6\/(-12) - (-1 - f\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q. Let a(d) = -d. Let m(j) = 5*a(j) + 2*b(j). Let o(g) = -g + 1. Let s(x) = 8*x - 5. Let u(n) = -4*o(n) - s(n). Give 3*m(c) - u(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m + 4. Let j be h(-4). Let t = j + 4. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107695 divided by 7?\nAnswer: 15385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 3:03 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/4 and 49\/247.\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/2 of a microgram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*w + 9*w - 1260 = 0. Solve -6*l + 36 = -w*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 8, 2, 3.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/5, 3, -0.8, 93, 2\/7 in decreasing order.\nAnswer: 93, 3, 6\/5, 2\/7, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 6*r. Suppose 2*j + 3*t - 48 = r, -5*t + 52 = 2*j - t. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 1. Suppose 0 = 3*w - 27 + 12. Suppose -w*c + 27 = 17. What is o(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = 9*h - 4. Let d = 1 + -1. Put d, h, -4 in descending order.\nAnswer: d, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/(-100))\/(-13*15\/(-4290)) + 2. Let q = 6 - 4. Put 0.2, q, 28, o in descending order.\nAnswer: 28, q, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -77 and -75 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.185864211 to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 4*b - 1. Let h(j) = -j**2 - 6*j + 19. Let m be h(-8). Suppose 4*x - 19 + m = -4*q, -2*x = -4*q + 10. Determine y(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25521357.18 rounded to the nearest 10000?\nAnswer: -25520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -6*q**2 + 11*q. Let o(c) = 9*c**2 - 17*c. Let w(a) = -8*j(a) - 5*o(a). Let l be w(2). Suppose -2*p - 6 = -5*p. Solve -m - p*m = l for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y - 3*y + 4*y)*(-92 - 24791*y + 17 + 24776*y) as s + n*y + z*y**2 and give z.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-44)*(-308)\/(-105)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1985 divided by -397.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 - 7 - 61*l**2 - 12 + 529*l**2 to y*l**2 + v + s*l and give y.\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*q - 12*q + 3*z, z - 3 - 7 + 1 - 12 = 4*q - 9 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/352 and -1\/3323144.\nAnswer: 13292576","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -3\/2, -35, 1\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 f when three letters picked without replacement from {f: 4, j: 13, q: 3}.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + -24. What is the third smallest value in -4, 0.12, n, -3?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -144430, -144431, -144432, -144433, -144434, -144435?\nAnswer: -144436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*n - 2*a, 4*a = -4*n + 2*n - 18. Let j(m) be the first derivative of -3*m + 0*m + 7*m**3 - 6*m**3 - n. Differentiate j(h) wrt h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 0 - 9*t - 2 - 2 + 5*t + 5*t. Let h(o) = 5. Determine -2*h(l) - 3*v(l).\nAnswer: -3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2616 (b) 2\/13 (c) 5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7762296 plus 4?\nAnswer: 2.2237704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (100 + -132 - (-27 + -6 + 7)) + (65 - 0).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*u + 75 = 151*u. Suppose u*d - 76*d = -3. Solve 2*b + 3*b + 20 = 5*l, 5*b + d*l - 4 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/4 + 12687*m**2\/4 + 10007460*m - 333709200.\nAnswer: (m - 33)*(m + 6360)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.24700087234 + 4.247. What is w rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) 1 (b) -2\/3 (c) -0.5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 26\/5 of a kilogram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + -4 - (-7)\/((-14)\/(-4)). Sort -17, 0, b.\nAnswer: -17, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q - q + 0*q)*(-q - 1 + 1) - q - 4*q + 2*q**2 + 32*q - 2 in the form w*q**2 + z*q + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by ((-16)\/24)\/((-32)\/7344).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 125 - -25265500?\nAnswer: 25265625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 8*k - 33. Let i be g(5). Suppose 0 = 2*t + 2*p - i*p - 936, 5*t + 4*p - 2373 = 0. What are the prime factors of t?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 2:33 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.07 (b) -3 (c) -55426\/1269\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 47391 - 94789 + 47383 - 106*t as r + x*t and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -35*n**2 + 26. Let h(r) = 23*r**2 - 17. Let i(b) = -5*c(b) - 8*h(b). Differentiate i(m) wrt m.\nAnswer: -18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.11, -1\/21, 2\/17 in descending order.\nAnswer: 2\/17, -1\/21, -0.11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54750, -109490, -164236, -218988, -273746, -328510?\nAnswer: -383280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -7. Let u(b) = -12*b**2 + b - 9. Let h(y) = 3*y**2 + 2. Let z(j) = w*u(j) + 9*h(j). Find the second derivative of z(l) wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11977\/72 - 1496\/9. Let m be 1\/1*(-1)\/(-3). What is the second smallest value in s, m, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 9, 41\/2, -0.01, 5, 17?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l - 20*l = -44. Let k = l - -28. Let h be 0 + (-114)\/((k\/(-8))\/1). Calculate the highest common factor of h and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, h: 4, l: 2, a: 2, r: 1, t: 3}. What is prob of sequence awt?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 3645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3\/3 - 79*j**2\/3 - 47*j\/3 + 190\/3.\nAnswer: -(j + 2)*(j + 19)*(4*j - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + j**2 - 2*j - 3. Let x be k(0). Let q be x\/(-12) - 117\/(-12). What is the common denominator of 492\/45 + (-6)\/q and 15\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 6*t - 600. Suppose b - 54 = -2*f, b + t = 4*f + 24. Solve -7 = y - 3*j, -j = 5*y - 6*j + f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*-138*(-5 + 4 - -2). Let y = k - -485. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**6\/210 - 15*w**5\/14 + 5773*w**4\/84 - 1850*w**3\/7 + 2738*w**2\/7 - 4159*w. Determine m so that j(m) = 0.\nAnswer: 1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 6*j = 10. Solve 0 = -3*v + 17 - j for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10816466.\nAnswer: 2, 5408233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-18)*1422\/4. Let t be 8\/(-36) + -1*q\/27. Put -3, 4, t in decreasing order.\nAnswer: 4, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6762 - -7355. Calculate the remainder when o is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a millennium in years?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3248976 from 1.\nAnswer: 3248977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28\/14 - (1 - 67).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -41756*v. Let x(w) = -w. Determine x(i(f)).\nAnswer: 41756*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 1206 = -47*z. Calculate the remainder when z is divided by (3\/2)\/((-2)\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1816\/20)\/(4\/10)?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-729)*(-479 - -1100)?\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 85 and 0.0877?\nAnswer: 7.4545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 666951 and 1032.\nAnswer: 229431144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((21\/(-8))\/7)\/((-975)\/1040)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46)\/7084 + (-4465)\/154.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 4*p + 5*x + 55000, 0 = -3*p + 4*x - 41250. Let w = -7941 - p. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-110 + 110 + 80*g)*(0*g**3 + 0*g**3 + g**4).\nAnswer: 80*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*m - 5*m - 501774. Let s = 310519 - m. Let j = s + -320261. What is j rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/7 - (-72)\/28. Let f = 34 + -16. Let z(a) = 2*a**2 - 35*a - 6. Let i be z(f). Solve -y*w - w = i for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 3*m = 5*y + 5, 2*m - 18 = -4*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 22\/3763, -4, -4\/3, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -13 (b) -3 (c) 29 (d) -4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1491719 or -1491714?\nAnswer: -1491719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 716*s**4 - 1573*s.\nAnswer: 8592*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*4*14\/(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/3)\/(11\/(-99)). Is 25 a factor of (771 - 1) + (-4)\/h*-9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of m**7\/420 - 5*m**4\/24 + m**3\/3 + 1. Let i(s) be the third derivative of a(s). What is the first derivative of i(p) wrt p?\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - 10. Let u = s - -30.3. Let t = -0.1 - 0. Which is the second smallest value? (a) u (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8.1 (b) -6 (c) 5 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25601201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 209 - 117. Calculate the remainder when n is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 24, 29, 34, 39, 44, 49?\n\"Answer: 5*s + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence os when two letters picked without replacement from {o: 3, s: 9, a: 4, m: 2, r: 1}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 20 = 0, 5*m - 827 + 112 = -n. What is the greatest common factor of m and 216?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x - 21*x + 84 = 0. Let j be 4\/1911*(-42)\/x. Let v = j - -3784\/12103. Which is greater: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*v**2 + 6*v - 6*v)*(-4 + 4 + 2*v**2 + 2) as p*v + y*v**2 + m*v**4 + s + q*v**3 and give m.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42) + (sqrt(252)\/(5*sqrt(6)) - sqrt(42)) - sqrt(42))\/((sqrt(42)*2)\/sqrt(7)).\nAnswer: -2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36.1 + 3.5. Let o = 33 + s. What is the closest to -3 in -1\/3, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2608*q - 2607*q - 28034 = 0, 4*q = -2*p + 14024. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 53 + 12335210?\nAnswer: 12335303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*k - 92*k = -28 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 1179*z - 1180*z + 14, -342 = -21*z - 3*x for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*c**2 + c - c)*(4*c - 3*c + 2*c) + 0*c + 3*c**3 + 0*c)*(5*c - 5*c + 2*c**2 + (1 - 4 + 4)*(-c - c**2 + c)).\nAnswer: -3*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -3. Let v(d) = -4 + 7*d - 8*d + 3 + 0. Let m be v(p). Which is the third biggest value? (a) -1\/2 (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2155259726 - 2155258648.9999269. Let s = t - 1077. Round s to 6 dps.\nAnswer: 0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3\/2 (b) -0.1 (c) 2\/5 (d) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**3\/3 + 3*u**2\/2 - 7*u + 1. Suppose -72 = -4*r - 0*r. Suppose 3*t - 3 = -r. Determine q(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-26)\/22 + (-2)\/(-11). Let d(u) = u**3 + 2*u**2 + u + 7. Let b(f) = -f**2 - f. Let t(i) = z*d(i) + 2*b(i). Is t(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*b + 34 = -v, -946889*v + 14 = -946885*v + b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9512 divided by -29.\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 191*d**5 + 9*d**3 + 124*d - 14. Let x(z) = 96*z**5 + 4*z**3 + 62*z - 6. Let l(h) = -4*w(h) + 9*x(h). What is the second derivative of l(p) wrt p?\nAnswer: 2000*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l**4\/3 - 10*l**3 + 8*l**2\/3 = 0. What is l?\nAnswer: 0, 4\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -6*s + 43. Let j be r(-16). Let d = j + -137. Solve 0 = -2*p - 2, 0 = -d*h + 6*p - p + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1226 and 1455 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - (0 + -2 - -3). Suppose 96 = n*a + 4*c, 4*a - 3*c - 20 = 55. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + n - 1. Let z be i(1). Let w(b) = 0 - z - 2 - 5*b + 0. Let m(h) = -4*h - 2. Calculate -4*m(t) + 3*w(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**6\/12 - 86*h**5\/15 + 163*h**4\/5 - 384*h**3\/5 + 27*h**2 - 25. Factor j(f).\nAnswer: 2*(f - 32)*(5*f - 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (126\/105)\/(2\/85). Find the first derivative of t*u + 11*u + 3*u - 51 wrt u.\nAnswer: 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20944141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z**3 + 4*z**2 + 2454*z - 4387. Let f(o) = -11*o**3 + 15*o**2 + 7363*o - 13159. Let d(v) = 2*f(v) - 7*i(v). Differentiate d(r) with respect to r.\nAnswer: -3*r**2 + 4*r - 2452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2 = i, 4*o + 6 = -7*i + 2*i. Let k be 6*o\/6*5. Solve 3*c - 4*a + 4 = -9, -a = -k*c - 16 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, h: 2, g: 13, b: 3}. What is prob of sequence hhb?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -25. Solve 0 = -3*x - 5*d + 8, b*x - 4*d + d + 20 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -112 (b) 3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -5. Let f(u) = -8*u + 0*u**2 + u**3 - 12 + 2*u**2 + 4*u**2. Let g be f(-7). Put i, -21, g in increasing order.\nAnswer: -21, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 + 828 = -73*w for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1234342 (base 7) to base 9\nAnswer: -263444","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -160 - -135. Let d(i) = -13*i - 6. Let m be d(5). Let j = a - m. What are the prime factors of j?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12522 * 99.9.\nAnswer: 1250947.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 6:50 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -927\/86710 + 2\/667. Find the common denominator of c and -133\/18.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 4 + (-10 - 14 - 6)*(1 - 4 + 2))*(0*k + k - 3*k)*(-51 + 32 - 2*k + 31).\nAnswer: 112*k**2 - 672*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**3 - 2*u**2. Let f(j) = -j**2 + 5*j + 4. Let h be f(5). Suppose 0 = -2*b, -o + h*b + 1 + 1 = 0. Give v(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wl when two letters picked without replacement from dcqwwdcqludw.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*d**3 - 6*d**2 - 73*d**5 - 30*d**5 + 22*d**5 - 108*d**4 = 0. What is d?\nAnswer: -2\/3, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-38)\/57 - (-5770)\/42. Let o = 137 - r. Which is the nearest to 0? (a) -1 (b) 0.5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6458, 6625, 6848, 7133, 7486, 7913, 8420?\n\"Answer: k**3 + 22*k**2 + 94*k + 6341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 4 - 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 93.5 in -0.1, -1, 7917, -2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 154*r**2 + 0 + 3\/190*r**5 + 16\/57*r**3 - 2\/19*r**4 - 1\/1140*r**6 + 0*r. Solve v(h) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 1 - 23. Let z(b) = -7*b**2 - 4*b + 2. Let y(v) = -v**2 - v - 1. Let n(p) = 6*y(p) - z(p). Calculate the remainder when n(6) is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5340\/1780)\/((-742)\/(-4)*-3*(-8)\/(-56)).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -7*v - 4*s + 10, 33 = -4*v + 5*s for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 2*g - 3*g)*(3 - 4*g - 3).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*y - 55 + 55 = 14*y. Solve 14*l = -4*p + 10*l + 4, y = p - 2*l + 14 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r**4 - 21*r**3 - 16*r**2 + 2. Let f(w) = w**2 + 1. Let m(i) = -2*f(i) + t(i). Factor m(u).\nAnswer: -3*u**2*(u + 1)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 - v**4 + v**2)*(-2 + 2 + 2 + 2 + 1 - 4 + (-2 + 1 - 1)*(-1 + 2 + 1) - 2 - 7 + 2)*(-6 + 12 - 9).\nAnswer: -30*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17\/3 + 1\/3*k**4 - 16*k**2 + 14\/3*k**3 + 50\/3*k.\nAnswer: (k - 1)**3*(k + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -11*p + 2 - 4*p - 13 - p**2 + 5*p. Let t be k(-9). Let a(g) = 7*g**2 + g - 1. Calculate the remainder when a(t) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z + 0*z + z)*(-2 - 1 + 1) - 83 + 83 + 11*z to the form l + y*z and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(27) + 5 - (2*(sqrt(240) + sqrt(60) - sqrt(60)))\/sqrt(12)) + 3.\nAnswer: -11*sqrt(5)\/3 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45299680 to the power of 1\/2, to the nearest integer?\nAnswer: 6731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 3*i + 84 = 0, p - 1899*i - 18 = -1896*i - 106 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 3*c + 653, -28*c = -31*c - 3. Calculate the remainder when k is divided by 103.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/(m*m**2*m))\/m**(1\/9)*(m**(2\/5)\/m)**(2\/103))**(3\/20))**(-8\/7) assuming m is positive.\nAnswer: m**(19678\/54075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 575 + -637.9. Let u = 62.5 + q. What is the nearest to 1 in -0.1, -0.05, u?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(70) + (-2*sqrt(70)*-6 - sqrt(70)))\/((sqrt(10) + sqrt(10)*-2)*-2) + (sqrt(448) - sqrt(448)*-2 - (sqrt(7) - sqrt(112)*-1))**2).\nAnswer: 36*sqrt(7) + 15162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 436 - 134. What are the prime factors of u?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t + 7. Let s(i) = -2*i - 22. Let j(w) = 7*c(w) + 2*s(w). Let v be j(9). Solve -2*m - 3*m - 16 = -a, 4*m = -4*a - v for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -41*o - 16. Let k(m) = -20*m - 8. Let i(f) = -2*a(f) + 5*k(f). Let b be i(6). Let g = -929\/8 - b. What is the third biggest value in g, -2\/5, 6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 7*c**2 - 6*c. Let u be b(8). Suppose y = 5*y + u. Let m(n) = n**3 + 3*n**2 - 4*n - 1. What is m(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (-11 - (23 - 73 - 4))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 0, 5, 0.8, -10.89, 0.6?\nAnswer: -10.89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 27*k - 56 = 0. Factor 4\/7*p**3 + 0 - 4\/7*p + 0*p**k.\nAnswer: 4*p*(p - 1)*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - 16. Let p(g) = -3*g**3 + 7*g**2 - 29*g - 3. Let b(k) = k**3 - 2*k**2 + 10*k + 1. Let w(t) = 11*b(t) + 4*p(t). Give w(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**3 + 3*m**2 + 9*m**2 - 3*m**2.\nAnswer: -2*m**3 + 9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 31112440 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 + -33. What is the closest to -1 in 1\/2, -0.3, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4 + 0*i - 3*i + 2. Let a be (-11)\/((-154)\/(-24)) - (-3 - (-69)\/21). What is y(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -1. Let l(f) = -f**2 - 1. Let d(p) = 6*l(p) - 6*m(p). Let h(k) = k**2. Give h(d(o)).\nAnswer: 36*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 16*i + 62. Let h be o(6). Let b(r) = -2*r**2 + 3*r**2 + 0*r**2 + 2*r**h - 2*r**2. Let w(g) = 9*g**2. Calculate b(w(p)).\nAnswer: 81*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**5\/19 - 12*h**4\/19 + 26*h**3\/19 - 24*h**2\/19 + 8*h\/19.\nAnswer: 2*h*(h - 2)**2*(h - 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**5 - 2318*z**4 - 1009188*z**3 - 196107308*z**2 - 14530816538*z - 41854544646 = 0 for z.\nAnswer: -289, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) -5 (c) -0.5 (d) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuoaaauuauouu. Give prob of sequence auoo.\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1614143 and 42094?\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m**2 + 4*m - 80. Let j be z(12). Let f = j - 683. Solve x + 23 = 4*n, 7*x + f = 2*x - 2*n for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-253)\/33 - -9)*(-84)\/(-16). Let p(y) = 11*y - 6 + y**2 - y**2 - y**2. Determine p(z).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence too when three letters picked without replacement from otojotttoojtjottt?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.14785nm in meters?\nAnswer: 0.00000001914785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*g - 2*g**2 - 23*g + 37*g - 9*g**3 in the form m*g**2 + s + r*g + j*g**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*m = -7*m + 15, 0 = 5*g + 4*m - 20. Suppose 25 = -u + 6*u. Let y = g + u. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 10 = -4*h, -4*v - 2 - 1 = -5*h. Let g be (0 - -7)*(0 + 3 + v). Suppose -n - 3*y = -89, 2*n - 5*y = g*n - 415. Is 16 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21600 and 2532?\nAnswer: 4557600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 16 + 36 + 12*g - 11 as q + c*g and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 424410 divided by 241\nAnswer: 424410\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116963820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 660 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 4. Is -4 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, e: 4, d: 10, s: 4}. What is prob of picking 1 d and 1 s?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/20 and 53\/3930.\nAnswer: 7860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*x - 29*x + 15*x**2)*(-5 + 4 + 6)*(-1 - 4*x + 1).\nAnswer: -300*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 4. Is 9254 + (-4 - i) + 4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**5\/9 - 4*x**4\/9 - 14*x**3\/9 - 8*x**2\/9.\nAnswer: 2*x**2*(x - 4)*(x + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 15. Let p be b(13). Suppose k - 3*o = 2*k - 16, -8 = -2*o. Suppose p*n + 301 = 5*m + 28, 0 = m + k*n - 59. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -15 + 16 + -14 + -2. Let s be (22\/(-6) - -3) + (-520)\/k. Let d(j) = 2*j**3 - 3*j**2 + 2*j. Let v be d(3). Is s at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 5. Suppose -z*b + 130 = 3*b. Suppose -4*i - b = -78. Calculate the remainder when i is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(36)*-1)\/sqrt(3) + 3 - (5 + -1*(-4 + sqrt(75))**2)).\nAnswer: -42*sqrt(3) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, q: 3}. What is prob of sequence rq?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -1 + -34 + 73 + -21.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -314887530 and -40.\nAnswer: -314887570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u + 4. Let o be a(-3). Calculate the smallest common multiple of o + (-24 + 4)\/(-1) and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 10, 0*d - 3*d + 10 = 4*u. Let v = u - -5. What is the highest common divisor of v and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 188538 by -1342.\nAnswer: -94269\/671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*m - 12 = 0, -166*m + 14 = -5*k - 163*m. Solve 0 = -r - c - 5, 26 - 54 = 5*r + k*c for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-5) - 36\/20. Let h = m + -5. Let z be h\/(-2)*(-3)\/(-9). What is the third smallest value in -4\/5, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470730 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1073576382 + -0.03?\nAnswer: -1073576382.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/22482132 and -139\/30.\nAnswer: 112410660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 294 and 252.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/sqrt(343) + sqrt(832) + sqrt(832)*-2 + sqrt(13).\nAnswer: -48*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1760156669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-8))\/(6\/16). Let p be (6\/8)\/(y\/8). Suppose 4*g - 26 = p*g. Is g a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*y - 29 = 0, -11*d + 22 = -9*d - 4*y. Solve -6*f = -7*f + d for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2816653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 7*z**2 - 9*z - 16. Let o be j(-8). Let b be 14193\/72 - (-1)\/o. Let l = 27 + b. What is the greatest common factor of l and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -63 in -3, -2\/9, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 9, 0.1, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10908 + -2604?\nAnswer: 8304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 14*c + 243. Let m be u(43). Let x = m - 819. Let j(o) = 27*o - 1. Let z be j(1). Calculate the greatest common factor of z and x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5653 and -0.6?\nAnswer: 5652.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1123\/(-3) - 3\/(-9). Let h = t + 819. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**4 + g**2 - 3*g**4 - 4*g**5 + 3*g**4 + 2*g**5 + 3*g**5 - 6*g**5 + 2*g**5 - 1 + 1 + (-1 + 3 - 3)*(-g**2 - 2*g**5 + g**2).\nAnswer: -g**5 + 2*g**4 + g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*x = 2, 5*h + 3*x + 0*x - 3 = 0. Suppose -6 = -2*z - 2*c, 3*c = 5*z + 1 - 16. Solve h = -0*a - 3*a + z for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/4 and 41\/2508.\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 30, -13, -84, -183?\n\"Answer: -14*i**2 - i + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6.4 and 199122.8041.\nAnswer: 199129.2041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -0*l - 3. Suppose -l*v = v. Suppose v = -4*d + d - 2*m + 175, 4 = -4*m. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*19 + 1 + -1. Let q = h - -53. Suppose -4*f - 5*m + 4 + 51 = 0, 0 = -f - 5*m + 10. Calculate the highest common factor of f and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84, 98, 110, 120, 128, 134, 138?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32933270827964811.99999994 + 32933271405775460. Let j = k - 577810654. Let i = j - -6. What is i rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18014019323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -5*p - 4*j + 1291, 4*p - 1162 = 2*j. Let v = p + -214. What is the greatest common factor of 63 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (32\/3)\/((-112)\/(-7224)). Let z = u + -271. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.502895 litres in millilitres?\nAnswer: 9502.895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18541561007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4355\/(-10452)*(-36)\/(-2) - (2 - 3 - -8)?\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + 0 + -1 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1683 divided by -561?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -78*o + 11. Let i(m) = -233*m + 32. Let d(y) = 2*i(y) - 7*l(y). Suppose 64 = 39*q - 23*q. Is d(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5074638.68210441 - -5075295.6821. Let z = d + -657. Round z to seven decimal places.\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-160)\/400 + 7\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 415 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-120))\/(7\/28).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3770885, -3770872, -3770859, -3770846, -3770833?\n\"Answer: 13*d - 3770898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3115 is divided by 553.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ivmeicmcmevii. Give prob of picking 2 e and 1 i.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (992\/656)\/31 - (-2940)\/246?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 2 - 5)*(-9125 + 5197 + 5316)*(4*m - m + m) to the form k*m + s and give k.\nAnswer: 11104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-371*j + 120*j + 100*j + 117*j)*(3 + 2 - 1) as u*j + b and give u.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 12:34 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0 = 4. Let h(i) = z + 5*i - i - 2*i. Suppose 150*v - 324 = 231*v. Calculate h(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 193639010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*p - 693 = -62*p + 951 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 0.1, -214, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (250\/(-6))\/(((-22)\/(-341))\/((-6)\/(-31)))?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -h**4\/4 + h**3\/6 - 3*h**2 - h. Let s(u) = -4*u**2 + u - 7. Let k(y) = -5*q(y) + 4*s(y). Give k(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 429 times -4\nAnswer: -1716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000737948 to five dps.\nAnswer: 0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -409*h**3 + 680*h**2 wrt h.\nAnswer: -2454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 6*g + 1. Calculate b(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11223201212 (base 4) in base 15?\nAnswer: 1e62b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from ygqggqsqsg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 7444.\nAnswer: -3722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (255\/7)\/1 + 453\/(-1057). Let d be ((-8)\/3)\/((-10)\/15). What is the greatest common factor of d and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 39975881.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*q**3\/5 + 256*q**2\/5 + 56*q\/5 = 0.\nAnswer: -14, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand a - 2 + 2 + (-3 + 5 - 59)*(-6 + 3 + 1)*(-2*a + 0*a - a).\nAnswer: -341*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -11*x - 61. Let l be c(-6). Solve l*q - o = -4, -3*o - 9 = 5*q - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in -0.6791, -0.1, 3\/5?\nAnswer: -0.6791","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -2597037 = -2597038?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*x - 75*x + 3150. Suppose 50*m - x*m + 5681 = 0. List the prime factors of m.\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(9\/((-36)\/(-8))). Suppose 3 = 2*d - 3*q + 30, a = 5*d + q + 42. Let w be 4\/(-6) - 15\/d. Is -4\/13 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30937013\/30 or 1031234?\nAnswer: 1031234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(8)\/sqrt(2)) + -1.\nAnswer: -1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 150 = 2*q - 13*q for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3715093 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: Let d = 3.001 + -0.001. Which is smaller: -2\/9 or d?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 4) to base 10\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 890*n**3 + 2*n**2 + 4*n + 3. Let y be p(-1). Let q = 890 + y. Solve -5*b + 6 = q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1798117*m**3 - 2*m**2 + 64*m - 506 wrt m.\nAnswer: -10788702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {p: 9, x: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-21) - ((-29280)\/(-14))\/(-5). Calculate the greatest common divisor of 114 and s.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11292 and 16158852.\nAnswer: 16158852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z = 23*z + 1872. Let y = z + 427. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w. Let b(j) be the third derivative of j**4\/12 - 5*j**2. Let q(u) = -u. Let t = -59 + 53. Let y(s) = t*b(s) - 13*q(s). Give y(c(d)).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 144271 + -62394. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 16) to base 7.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**4\/12 + 7*m**3\/6 - 9*m**2\/2 - 24*m + 3. What is i(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9728184607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 0*y**6 - 4*y + 1\/30*y**5 - 1\/189*y**7 - 1\/27*y**4 + 0 + 0*y**3 + 0*y**2. What is f in j(f) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w + 1. Let g be f(1). Let l(o) = -6 + 2 + 5*o + 1. Let c be l(g). Solve -3*q = -6*q + c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + -15 + -19 - -10 - 3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 134 and 128 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1833 = 3*l - 9228. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 19*o**2 + 13*o + 106. Let r be g(18). Let n(l) = l**3 + 6*l**2 + 4*l - 1. Let t be n(-4). Let w = r - t. Solve 2*k = -w - 9 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g - 37. Let m be u(20). Suppose -m = 5*q - i - 6, -4*q - 2*i - 6 = 0. Let x be (q\/(-5))\/(0 + 2). What is the second smallest value in x, -4, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1136421321?\nAnswer: 3, 7, 17, 359, 8867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1096 or -1097?\nAnswer: -1097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*m - 2*m**2 - 2*m + 0*m - 1 to the form p*m + v + i*m**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 128188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7944906 litres?\nAnswer: 794.4906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6d61 + 5?\nAnswer: 6d66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -73, -7.4 in increasing order.\nAnswer: -73, -7.4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(13))*-6 - sqrt(78)\/(sqrt(6) + sqrt(24)\/sqrt(4)))**2.\nAnswer: -78*sqrt(13) + 2341\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -122\/15 or -2?\nAnswer: -122\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 347 (base 8) to base 2\nAnswer: 11100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70\/(-37))\/2 - 4*17\/(-68).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b + 3*b - b)*(-9*b**2 - 8*b**2 + 5*b**2 + (4*b + b - 3*b)*(-1 + 1 - 2*b)) as d + t*b + a*b**2 + n*b**3 and give n.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 greater than or equal to 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17\/7*25 + (-12)\/(-126)*3 is divided by 54?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60 - -28. Let m = u + -1668. Let p = 7872\/5 + m. What is the common denominator of p and 43\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 850 = -74. Let a = -246 + g. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*p**5\/13 - 8*p**4 - 108*p**3\/13 + 8*p**2 + 2*p\/13 = 0. Calculate p.\nAnswer: -1, -1\/53, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1165 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3823, 3932, 4149, 4504, 5027, 5748?\nAnswer: 6697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1974230 is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20503*w - 2*w**3 - 20503*w.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.671*5\nAnswer: 3.355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 94999, 96597, 99261, 102991?\n\"Answer: 533*f**2 - f + 94467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 + 37916*j**2 - 151688*j + 151696.\nAnswer: 2*(j - 2)**2*(j + 18962)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 10843*v - 63. List the prime factors of a(1).\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, o: 1, z: 1, t: 9}. What is prob of sequence oz?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 783.29*-2.403.\nAnswer: -1882.24587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -26, 2, 3 in ascending order.\nAnswer: -26, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13\/16 - -267\/368. Which is smaller: d or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2000010101 (base 3) to base 11.\nAnswer: 27710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 7:40 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 780369 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + s + 40 = b, 0 = b - 2*s - 17. Calculate the remainder when 14*b\/(147\/54) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 19 + -14 + (-7 - -13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-32 - 200\/(-20))\/(4\/2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -71136 divided by -36\nAnswer: 1976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 1. Let z(c) = 6*c - 1. Suppose -4*q + 14 = -5*r, 2 = 3*q - 4*r - 9. What is q*z(p) - 4*d(p)?\nAnswer: 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -5*q - 5118. Let y = q + 358. Round y to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u - 10. Let x(z) = -11. Let a(h) = -5*m(h) + 4*x(h). Suppose d + 4*d = d. Let p be a(d). Solve -4*b = 4*t - 8, -t - 1 = -p*b + 4*b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.7264569 milliseconds?\nAnswer: 0.000012107615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(8\/9)\/((g**5*g)\/g))\/((g**(1\/28)\/g)\/(g**(1\/6)*g*g)))**(-30) assuming g is positive.\nAnswer: g**(1235\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2255950 is divided by 1582.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -604296 or -603832?\nAnswer: -603832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2\/7, 33, 5, -3\/7 in descending order.\nAnswer: 33, 5, -0.1, -2\/7, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 116731941 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -158*c. Let k(n) = -168*n**2 - 2. Determine k(f(m)).\nAnswer: -4193952*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -383 + 360 + 13*y**2 + 4*y**2 + 2*y**4 with respect to y.\nAnswer: 8*y**3 + 34*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130.6 - 2\nAnswer: 128.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260093*q + 258218*q - 518313*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/5 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -3621?\nAnswer: -3620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 75856 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 930749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 16*n - 43. Calculate x(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (62\/8 - 3) + (-9)\/(-36). Calculate the highest common factor of h and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 9 = s. Let y be 26\/(-15) + (-3)\/(15\/(-2)). Sort s, y, -1 in ascending order.\nAnswer: y, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6279 and 930.\nAnswer: 1946490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-6 - (-8 + 7 + -4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z - z**2 + 2*z + 596*z**3 + 4 - 597*z**3. What is y(-4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*j + 2 + 28. Let c be (-3 + j)*(8\/6 + -1). Factor c*n + 2\/7*n**4 + 2\/7 + 0*n**3 - 4\/7*n**2.\nAnswer: 2*(n - 1)**2*(n + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.3123244kg?\nAnswer: 312324400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u - 96*f = -18*u - 95*f - 246, -3*u = 4*u + f + 354 for u.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 10*s**2 - 3*s - 28. Let f be b(-10). Suppose -2*n + f*i = -920, -i = -4*n + 686 + 1142. Does 19 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 4*k**4 - 1256*k**3 + 121632*k**2 - 3344152*k - 3467044 = 0.\nAnswer: -1, 49, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 0*y - 3*y)*(-y + 0*y - y) - 3*y**2 - 8*y**2 + 2*y**2 + (-5*y - y + 4*y)*(-2*y + 3*y - 3*y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9, -12, 9, -303?\nAnswer: -303","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r - 1. Let s be j(1). Let c be 736\/160 + (-1)\/((-10)\/4). Suppose -i + c*p + 25 = 0, 0 = -p - 5 + s. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -7*p**3 + 27*p - 9. Let x(s) = -3*s**3 + 13*s - 4. Determine 4*h(z) - 9*x(z).\nAnswer: -z**3 - 9*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 1. Let w be k(6). Suppose -1 = -4*j - w. List the prime factors of j\/1 + (2 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-f - 5 + 5)*(-2 + 4 + 0) - f + 2*f - 3*f + 0 + f + 0 - 3*f + 5*f - 3*f)*(-68 + 68 + 67*f).\nAnswer: -268*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -27. Let w be (l\/(-4))\/(1\/(-2)). Let d be (4\/(-33))\/(-4)*w. Sort 9, -4, d, 2\/9.\nAnswer: -4, d, 2\/9, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 69 = -21*i. What is the third derivative of 60*n**5 + 3*n**2 - i*n + 3*n - n**2 + 67*n**5 wrt n?\nAnswer: 7620*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 6*r - 12*r)*(r**3 + 4*r**3 + 2*r**3).\nAnswer: -77*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 7 in decreasing order.\nAnswer: 7, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**2 + 6*j**2 + 116 + 0*j**2 - 111 to n*j + k + q*j**2 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -126673 divided by 26\nAnswer: -126673\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31\/1546 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006537 to 5 dps.\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -7. Let i be 1 + h + (4 - 5). Let p be 2\/((-12)\/8 + i). What is the closest to 0 in 5, -1\/2, p?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*n**2*s**2 + 2*n*q + 20088*n*s - q*s**2 + 26*q*s - 4*q - 25*s - 16 wrt n?\nAnswer: 6*n*s**2 + 2*q + 20088*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -13. Let w be (-4 - -4)*h\/(-15). What is the biggest value in -4\/7, w, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 7812 = 4*r, 2*r = -6 - 2. Suppose 2*y = -5*z + o, 0 = -2*y + z + 1249 + 718. Is y\/(0 + -1 + 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 + 78. Let g = v + -31. Suppose 3*t = g + 5. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 13, u: 3}. What is prob of picking 1 g and 2 u?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3635 (base 8) in base 11?\nAnswer: -1512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -24. Let d be ((-13)\/(-2))\/((-2)\/(-8)). Suppose k*q - 22 = d. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*p + 31*p + 64614. Let n = p - -1034. Calculate the remainder when n is divided by (-2 + 10)\/(1 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -5, -7, -11?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 533 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y - 2 + 4 - 3 - 1.\nAnswer: 8*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -75*26\/2730*35\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -364*i + 396*i - 160864. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**3 + p**3 - p**3 + (-p**3 + 0*p**3 + 0*p**3)*(-4 + 3 + 3) - p**3 - 3*p + 3*p + (p + p - 4*p)*(-65*p**2 + 35*p**2 - 29*p**2).\nAnswer: 116*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 2*w**2. Let n be q(-2). Let s be 8\/44*3 + n. Which is greater: s or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -17*m**3 + 97*m**2 - 35*m + 79. Let d(x) = 7*x**3 - 48*x**2 + 18*x - 40. Let c(f) = 7*d(f) + 3*l(f). Let u be c(-23). Solve -u*n - 3 = -0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aesl when four letters picked without replacement from {d: 1, s: 2, l: 2, a: 1, j: 4, e: 2}?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34136 divided by -17.\nAnswer: -2008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 279367?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 105608395 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 9*z**2 - 3*z + 117. Let f be q(13). Let k(h) = -4 + 2*h**2 - 4 - 3*h**2 + f*h + 2 - 1600*h. Calculate k(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(sqrt(300)*-2).\nAnswer: -sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c - 48, -4*l + l - 59*c - 16*c = 13*c + 15*c + 1663 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78 by 37872.\nAnswer: 13\/6312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17757, -17766, -17769, -17772, -17781?\nAnswer: -17802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5189507 is divided by 1037901?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f**2 + 1. Let i(v) = -4*v**2 + 1. Let t(g) = -i(g) + u(g). Let m(a) = 461*a. Determine t(m(h)).\nAnswer: 212521*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4265 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6894097 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 51433950229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/8)\/(18\/(-120)). Let c = 179 + -179. Suppose -6*t - 2 + 20 = c. Solve 4 = t*a + 3*f - 2, 3*f = n*a - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 534 - -11?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32.044 - -32. Let f = u - -2.044. What is the smallest value in f, 0.11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 500630 and 2080.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/4*2)\/((-6)\/12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -t**4\/24 - 7*t**2 + 1. Let w(r) = 3*r + 44. Give w(p(y)).\nAnswer: -3*y + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7530.\nAnswer: 2, 3, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22480 by 5620.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.01, 3\/2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-2))\/6 - (-261)\/(-348)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 4 + 1)*(-5 + 4 + 0) + 4 - 1 - 4 + 19 + 42 + 26 - 5 + 5 + 5)*(u + u + u).\nAnswer: 267*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 21\/40 (b) -5 (c) -20 (d) -0.2 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n - 24*n + 23 = -i, 2*n + 3*i - 16 = 0. Solve 0 = -2*p - 2*d - d - 17, -5*p = n*d + 35 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -790 + 799. What is the remainder when 328 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 19862\/12*(-106)\/(-9658). Let k = -37\/838 - -181187\/4046702. Let w = k + z. Calculate the common denominator of w and 37\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*o + 640 - 256, -5*w + 1926 = -4*o. What are the prime factors of w?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1810.17 and 14.\nAnswer: 1824.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m + 0*m + 5*m + (-8 + 1 + 0)*(-2*m - 3*m + 4*m))*(4 + 3 - 5) in the form f*m + d and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 11*w - 9. Is -2\/543 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b1c + 1ba95?\nAnswer: 1af79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*c**4 + 4*c**3 - 218 wrt c?\nAnswer: 72*c**3 + 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8 + 0.4. Let s = -0.2 + u. Let w = -9 + 12. Sort w, -3, s in ascending order.\nAnswer: -3, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 - h**2 + h**2)*(1 - 1 - 1) - 3*h**3 + 2*h**3 + 2*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 551 divide 233098897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 9:08 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - w = -0*w - 6, -454*z - 35*w = -451*z + 198 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -259.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 3.5. Let a = v + -3.5. Let l = -6 + 11. Put a, -0.1, l in descending order.\nAnswer: l, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 7. What is r(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -10. What is the closest to x in 0, -0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 556\/143 - 60\/13. Let j = y - -101\/33. Determine b so that 0 + 5\/3*b**2 - j*b**3 + 2\/3*b = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -237, -1, 70, 4 in decreasing order.\nAnswer: 70, 4, -1, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -27*s - 21*s + 48*s + 3*s**2. Let w(z) be the second derivative of z**4\/6 - z. Determine w(k(y)).\nAnswer: 18*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -19*a**2. Let l(v) be the first derivative of -v**5\/60 + 2*v**3\/3 - 4. Let g(i) be the third derivative of l(i). Calculate g(z(h)).\nAnswer: 38*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4\/10)\/((-9)\/(-50712 - 3) + 0)?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1382.164 millilitres to litres.\nAnswer: 1.382164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -12*d. Let g be r(-1). Suppose -4*t + 16*t = -g. Let n be (((-3)\/(-6))\/t)\/(1\/(-2)). Solve -2*i + n - 11 = -2*w, -4*w = -2*i - 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 q when three letters picked without replacement from fqm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -425 (base 6) in base 3?\nAnswer: -12222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 5810.5599 to the nearest one hundred.\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**2 + 1027964*x**3 - 2*x**2 - 2*x**4 - 1025595*x**3 to v*x + d*x**4 + b*x**2 + k*x**3 + p and give k.\nAnswer: 2369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5\/4)\/o*o*o\/o**(-9)*o*(o**(1\/2))**(2\/15))**(-50) assuming o is positive.\nAnswer: o**(-2945\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(3) + -1) + -1.\nAnswer: -6 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -4*u**3 + 592*u**2 + 11628*u + 53784 = 0.\nAnswer: -9, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 c when four letters picked without replacement from bbcbbbbbcc?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/239, 5, 854.\nAnswer: -4, 2\/239, 5, 854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 127738*k + 4598564. What is j(-36)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 g when two letters picked without replacement from {g: 1, x: 1, r: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**4\/5 + 96*u**3\/5 - 104*u**2\/5 - 96*u\/5 + 20 = 0. Calculate u.\nAnswer: -25, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1445\/(-85) + 100\/6. Put 3.1, q, -0.5, 0.1, 0.5 in ascending order.\nAnswer: -0.5, q, 0.1, 0.5, 3.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -4*l**2 + 229*l - 270. Determine s(56).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) - ((sqrt(539)*-2*5 + sqrt(539))**2 - sqrt(539)) - (-1*1*sqrt(539) + sqrt(539)))*5.\nAnswer: -218295 + 70*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(98)*-1*-1)\/((sqrt(2) - sqrt(6)\/sqrt(12)) + sqrt(2)))\/((sqrt(84)*-3)\/sqrt(12) - (sqrt(70)\/sqrt(5))\/sqrt(2)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -153635 (base 7) in base 5?\nAnswer: -1431121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2375037967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 57308.83207 to the nearest one hundred.\nAnswer: 57300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**5 - 2136*t**4 + 380208*t**3.\nAnswer: 3*t**3*(t - 356)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/6)\/(7\/(-126)). Suppose -c*l = 3 - 1167. What are the prime factors of l?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111057 times 0.2\nAnswer: -22211.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -7*j - 401 + 200 + 201. Let z(h) be the first derivative of -10*h**3\/3 + 112. Calculate z(c(r)).\nAnswer: -490*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 4*q - 24, 3*q = 3*i + 2*q + 13. Let o be (i\/(-8))\/((-1)\/(-4)). Factor 2*v - o*v - 2*v - 3*v**2.\nAnswer: -v*(3*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**26\/u)\/u)\/u*u\/u**45*u**(4\/29)\/(u\/(u**(-48)\/u)) assuming u is positive.\nAnswer: u**(-2055\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -38\/9, -1\/15, -3, 47.1?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/412 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -q**5\/12 + q**4\/24 + 13*q**2. Determine y(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -522334 (base 7) to base 15\nAnswer: -1b89a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-12)*3)\/(20\/8)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 1, -4, 2 in descending order.\nAnswer: 14, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.68 - 0.32. Let v = 162.4 - 162. Which is the closest to k? (a) v (b) 0.2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 - i**2 + 3*i**2)*(0*i**2 + 5*i**2 - 4*i**2) + (11*i + 34*i + 11*i)*(0*i**3 + 2*i**3 + 2*i**3) + 2*i**4 - 4*i**4 + i**4.\nAnswer: 222*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 + 45. What is n rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 120 - 109 - (-8414)\/(-780) and -37\/129.\nAnswer: 16770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/78)\/5 - 0. Let j = 9\/26 - d. Which is the nearest to j? (a) -7 (b) -0.2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - r = -2*y - 1536, -4*y + 2*r + 1536 = 0. Let g = y - -46. Does 36 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(880)\/sqrt(5).\nAnswer: 2 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 796, 1592, 2392, 3196, 4004?\n\"Answer: 2*l**2 + 790*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**(-15))\/y)\/(((y\/y**30)\/y)\/y)*y**(-7)\/y*y**(-7\/6) assuming y is positive.\nAnswer: y**(227\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**7\/3780 + q**6\/1620 + q**5\/270 + q**3 - 6*q**2. Let b(z) be the first derivative of g(z). Factor b(s).\nAnswer: -2*s*(s - 2)*(s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -1 + -12 + 11\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d - 30943 - d + 144104.\nAnswer: -2*d + 113161","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 0 + 3*y**2 + 1\/300*y**6 + 0*y - 1\/75*y**5 + 0*y**3 + 0*y**4. Solve b(x) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 3*j - 162, 10*j = 38*n - 33*n - 240. Suppose x - 27 = f, -54 = -2*x - 0*x - 2*f. Calculate the remainder when n is divided by x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 366208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 8 = -4*s. Differentiate -s - 14*g**4 + 7 - 12*g**4 with respect to g.\nAnswer: -104*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -155 in 0.5, -2\/9, 0.03, -1\/1283?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 21.5, 3\/7?\nAnswer: 21.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/1168629 and 38\/9182085.\nAnswer: 64274595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-36)*3\/(-2). Let s(k) be the third derivative of 0*k + 0 + 0*k**3 + f*k**4 + 2*k**2. Let m(l) = 2*l**2. Give m(s(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52*(-86)\/(-12040)*105?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.36*-443428.\nAnswer: -159634.08","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -134\/333 + -8699\/10656. What is the common denominator of a and -3*(-2)\/(48\/(-340))?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b**2 - 3*b. Let j(n) = -9*n**2 + 5*n. Let i(l) = 5*g(l) + 3*j(l). Let h(t) = -11*t**2. What is i(h(o))?\nAnswer: -242*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -1 - 1*-4. Suppose -2*p - 3 + 1 = 4*n, m*p = 5*n + 9. Let w(v) = -v - 3. Let g be w(-5). Put g, 1, n in descending order.\nAnswer: g, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 527 and 26908.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s + 14. Let m be y(-4). What is the second derivative of -9*i**m + 4*i**2 - i - 5*i - 11*i**2 wrt i?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1139492 rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.10941 to the nearest integer.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30409950581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*v = 98 + 76, 5*d - 435 = 5*v. Let p be (-5)\/25 - d\/15. Let y(l) be the third derivative of l**5\/60 + l**4\/8 - 2*l**3\/3 + 9*l**2. Give y(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/8*-5*6\/10.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.4 + 11.615. What is s rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*d + 55, 3*d + 4*r + 24 - 141 = 0. Let j be 20\/d - 1039\/(-7). Suppose j = 5*f - 1. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.0857 - -1.08563648. What is b rounded to seven decimal places?\nAnswer: -0.0000635","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = r - 52 + 40, -2 = 2*r - 3*y for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -712 divided by 2.\nAnswer: -356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4081121 at most 20405606\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 105 - 104.9. Which is the second smallest value? (a) 4 (b) m (c) 0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1880253, -3760512, -5640771?\nAnswer: -7521030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 82725907010 - 48149392553. Let h = p + -1808005941040811\/52290. Let n = h - -2\/2905. Calculate the common denominator of n and -73\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - f**2 - 2*f + 3. Let b be r(0). Let j = -23 - -42. Solve -i + 5 = -3*s - 3*i, -b*s - j = -5*i for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -211*d**4 + 7*d**3 + 665*d**4 - 268*d - 7*d**3 + 265*d wrt d.\nAnswer: 5448*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -6236.\nAnswer: 3\/6236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61.86 + 61.96. What is the second biggest value in 1064, 0.2, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 467877*0.2\nAnswer: 93575.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16049, 15564, 14931, 14150, 13221?\nAnswer: 12144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 6*l - 30. Let j be y(13). Let x = j - 51. Let t be 424\/20 + x\/15. What is the highest common divisor of 21 and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 14, -2\/3, 2\/21, -4, 5, -12277?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 97958 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**5 - l**5 + 0*l**5)*((1 + 1 - 1)*(0 - 4 + 2) - 1 - 3 + 3).\nAnswer: 12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39102942 to the nearest integer?\nAnswer: 6253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 67882350.\nAnswer: 2\/33941175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21871.1 - -21871. Suppose l - 3 = -5*w + 4*w, 2*w - 2 = 0. Which is the closest to m? (a) l (b) -2\/9 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*i**3*j**3 + 41282258*i**3 - 414564*j**3 - 3*j**2 + 2*j wrt j.\nAnswer: -138*i**3*j - 2487384*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18\/(-300))\/(18\/186). Let c = -963\/100 + o. What is the common denominator of c and 2\/(-5)*(-33)\/(-8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49\/5 - 10. Let t = 2.92 - 3.92. Which is the closest to 2\/3? (a) n (b) -1.5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 2*y + 2. Let a be (-3 + 4)*6*(-4)\/8. What is j(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + 0. Sort -5, s, 0.3.\nAnswer: -5, s, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 4*h**5 + 108*h**4 - 140*h**3 - 780*h**2 + 136*h + 672 = 0.\nAnswer: -28, -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1833409?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-1) + -3 - (-1695)\/75. Which is greater: j or 23?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + p - 3*n - 19, -3*n - 14 = -p. Let l = -511.1 - -490. Let r = 21 + l. Which is the closest to -1? (a) p (b) r (c) -1\/28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r**2 + r - 5. Let d(t) = 3*t**2 - t + 4. Let y be 133\/28 + 1\/4. Let q = y + 0. Suppose 3 = 4*h - q*h. Calculate h*d(p) - 2*k(p).\nAnswer: -p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5355)\/(-210))\/(2\/(-8)) + (15 - -1).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21450389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1327689)\/(-121))\/9 + 4\/(-22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 963296078.\nAnswer: 2, 10313, 46703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4006553899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/365 + 77\/730. Let g = 279 - 280. Is g not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 12 = 3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**2 - 7*x + 3. Let s be f(-4). Are s and 4\/15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4789891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-3 + 3))\/((-6)\/6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**4 - 2*z**4 - z**4 - z + z**4 + z + (0*z**4 + 2*z**4 + 0*z**4)*(3 + 1 - 2) - 1475*z**3 + 1475*z**3 - 64*z**4 + 10*z**4 - 5*z**4 - 19*z**4.\nAnswer: -74*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 445634773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzjljhjlhj. What is prob of picking 2 l and 2 h?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2626, 2504, 2382, 2260, 2138?\nAnswer: 2016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1576\/13685 - 2\/805. Sort 4, -1.3, 0.5, i in decreasing order.\nAnswer: 4, 0.5, i, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/22*-1 - (-14)\/154?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - k**2 - k - 2. Let d = -2 + -132. Let l = d - -132. Calculate x(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/33)\/(-134*10\/(-346390))\nAnswer: 94\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -2*d + 0 + 0*d**2 + 3 + 1 - d**2. What are the prime factors of c(-14)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 20*h**3 + 2*h**2 - 1. Determine g(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + 109 - 61 = -147. Solve t*u + 15 = -r + 12*u, -5*u - 14 = -2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k. Let g(x) = 110*x**2 - 3*x. Let v(i) = -73*i**2 + 7*i. Let u(n) = 5*g(n) + 7*v(n). What is u(q(j))?\nAnswer: 975*j**2 - 170*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - m = -3, -2*m + 4*m - 9 = 5*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114350478 divided by -6.\nAnswer: 19058413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h**2 - 3*h + 10. Let k be c(-5). Let l = k - -201. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (2 + 4) - (5 + -11)) + 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142070 is divided by 609?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -372*v**5 - 14*v**2 + 69*v wrt v?\nAnswer: -22320*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*a - 2265 + 2277 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5726*l**4 - 22*l**3 - 2*l**2 - 197015*l wrt l.\nAnswer: 137424*l - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, c: 1, l: 4}. What is prob of sequence ll?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 26*b**2 + 56*b + 18. What is k(28)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 175*u - 531. Give t(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaa. Give prob of sequence aaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -156*x + 5. Let s be 2\/(4\/(-2 + -2)). Is o(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -6, 2, 3 in ascending order.\nAnswer: -6, 2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 210829 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15867 + -0.4?\nAnswer: 15866.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.08, -2\/7, -2, -37.\nAnswer: -37, -3.08, -2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 4*a + 6. Let z be k(5). Let u(q) be the third derivative of q**5\/12 + q**4\/24 + 14*q**2. What is u(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 1:27 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 1, -2043?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 72794613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3163? (a) 0 (b) 128 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 3*g + g)*(-7*g - 13*g - 14*g + 2).\nAnswer: 136*g**2 - 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1610*d**2 + 2*d**4 - 2*d - 3*d**3 + 1 - 803*d**2 - 806*d**2 to the form f*d**2 + h + l*d**3 + z*d**4 + y*d and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 3:10 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 103711 + -70635. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of d**3\/3 + 2. Let m(o) = -2*o. Calculate m(y(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ergyisisysey. Give prob of picking 1 s and 1 y.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, -12\/11, -0.3, 22.2, 0?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eo when two letters picked without replacement from {e: 2, o: 2, b: 2, h: 1, j: 1, w: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 34*a + 69. Let j be d(-32). Suppose -3*c = 2*m - 1287, -c + 246 = -j*m - 183. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i = -4*i. Let s(o) = o**3 - 3*o**2 + 2*o. Let p = 4 + -2. Let z be s(p). Solve z*x - 5*x + 20 = i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14026*l**3*r**3 - 2*l**3*r**2 - l**3 - 29661*l - 1 wrt r?\nAnswer: 42078*l**3*r**2 - 4*l**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4718\/4 + (-205)\/82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/4 - 12*c**3 - 143*c**2 + 48*c + 576.\nAnswer: -(c - 2)*(c + 2)*(c + 24)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -57867549, -57867552, -57867555, -57867558, -57867561, -57867564?\n\"Answer: -3*d - 57867546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.73 * 2.065.\nAnswer: -1.50745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**4\/12 + 36*s**2 + 2*s - 4. List the prime factors of a(12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -7 - (1 + 0)) + 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 638552.3l to millilitres.\nAnswer: 638552300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 423*k**3 - k + 0*k**6 + 107*k**3 + 177773*k**4 - 177773*k**4 + 2*k**6 - 858*k**2 wrt k?\nAnswer: 240*k**3 + 3180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/3 + (-10)\/(-6). Suppose 13*s - 19*s = 54. Let o = 14 + s. Which is the biggest value? (a) h (b) -0.1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 43147*v**2 + 7*v - 1. Is r(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2077 times 6?\nAnswer: 1.2462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2*u**(-3))**50 assuming u is positive.\nAnswer: u**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -45. Let w be (-4)\/(-6)*(3 + o). Let p = 90 - -86. Calculate the highest common divisor of w and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62\/31*10\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4372 equal to 4373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*r + 73. What is r rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 13 = 27. Calculate the remainder when 38 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 times 16.97?\nAnswer: -2596.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02747593 to five dps.\nAnswer: 0.02748","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 588*d**3*i**3*j**3 - 3*d**3*i - 2*d**2*i**2 + 5*d**2*i*j**2 - 1404*d*i**2*j**3 - 2*i**3*j**3 - 4*i**3*j wrt d?\nAnswer: 3528*i**3*j**3 - 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -33603, -134449, -302529, -537843, -840391, -1210173?\n\"Answer: -33617*v**2 + 5*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2038*q**2 - 1820*q**2 + 1487*q**2 + 583*q**2.\nAnswer: 2288*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1073*h - 2049 + 2049 to the form j + f*h and give f.\nAnswer: -1073","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -53*h**2 - 402*h + 4. What is the remainder when r(-7) is divided by 115?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 7:06 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100111011011011 (base 2) in base 3?\nAnswer: -20000112120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0182085 to four decimal places.\nAnswer: 0.0182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9966, -5, -3, 2, -2, 89 in descending order.\nAnswer: 89, 2, -2, -3, -5, -9966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8788040 rounded to the nearest 1000?\nAnswer: 8788000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4700341.749 rounded to the nearest 10000?\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101101110001 + -10101111111?\nAnswer: 101010111110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4805164?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z - 4. Let l be g(4). Suppose 2*c + 22508 = -5*h, l*h = 3*c - c - 17992. Round h to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9386774 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*f*n**3 - 288747*f*n**2 - 81*n**3 wrt n.\nAnswer: -66*f - 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -q. Suppose -5*k - 75 = -15. Let o be 2\/3 - 16\/k. Solve q = -3*g - o*g + 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9967*a*g**3*j**2 + 24*a*g**3*j - 86*a*g**2*j - 379*a*j - 2*j**2 wrt g.\nAnswer: -59802*a*j**2 + 144*a*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13597, -13601, -13609, -13621, -13637, -13657, -13681?\nAnswer: -13709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-4 + 0) - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -1355, -159.9, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 15 = z, 0 = -24*t + 21*t + 3*z + 3. Suppose 4*j + 77686 = -3*c, t*j = 4*c - 53014 - 24658. Round j to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 1 = 3*u - 3*s, -2*u - 3*s = 13 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 8:25 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66971670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4998*s + 1683*s - 11377*s = 675832 for s.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 210298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*g - 136 + 36 = 6*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c + 3. Let p(a) = a**2 - 3*a - 4. Give -5*m(z) - 4*p(z).\nAnswer: -4*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of f**5\/3 + 7*f**4\/3 - 2*f**3 + 35*f**2. Factor h(b).\nAnswer: 4*(b + 3)*(5*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-6))\/(109\/(-2616))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d\/(d**(-2\/3)\/d))*d*d)**9)**(-4\/33)\/(d**(-5)*d**(-3\/4))**(9\/11) assuming d is positive.\nAnswer: d**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**5\/20 + c**4\/2 + c**3\/6 - 3*c**2 - 33*c. Let p be z(6). Sort p, -9, 5, -2.\nAnswer: -9, -2, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7680 divided by -101\nAnswer: -7680\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 2\/15, -17, 25?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k**2 + 6*k**2 - 5*k**2 + 9*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (70\/(-15))\/(132\/(-792))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*q + 7 = 0, -5*f - 2*q - 2 = -f. Is ((-201)\/6)\/(f\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.51 + 1.71. Let i = 62 + -127\/2. What is the nearest to 0.2 in i, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 31*f**2 - 179*f - 76. Calculate x(23).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265 is divided by 107?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 8*z - 7. Let g be k(9). Factor -a**5 + 2*a**2 + 3*a**5 - 2*a + 2*a**g - 4*a**4.\nAnswer: 2*a*(a - 1)**3*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33042030 (base 5) to base 3\nAnswer: 112102121002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 3*k - 239, -27*m - 3*k - 148 = -23*m. What is the nearest to m in 1\/6, 1\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 18*i**2 - 2*i - 2. What is the units digit of j(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(6776) + sqrt(6776) + (sqrt(6776) - 4*sqrt(6776) - sqrt(6776))*5 + sqrt(6776) - sqrt(6776)))\/((sqrt(800) + 6*sqrt(800)*-4)*-1).\nAnswer: 396*sqrt(7)\/115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-493 - -539) + -13 + -3?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 548839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 49623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -182*i - 10584. What is n(-58)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/11*121\/88?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -264732.913 + -0.2\nAnswer: -264733.113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 40728, 40745, 40780, 40839, 40928, 41053, 41220, 41435?\n\"Answer: m**3 + 3*m**2 + m + 40723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*o + 3*q, 5*q - 4 + 14 = 2*o. Suppose o = 133*t - 130*t - 18. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 8 = 6. Let r(h) = -h**3 - 4*h**2 - 6*h - 6. Calculate the remainder when r(-4) is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-715)\/15 - 3\/9. Let h = m + 24. Is -24 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, y: 5, w: 1, u: 4}. What is prob of picking 4 y?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021 + 2001?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 13*w**3 - 15*w**2 - 57*w - 64. What is n(-5)?\nAnswer: -1779","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -38292*k - 382927. What is f(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h + 5. Let b be q(4). Let y = -2 - b. What is the greatest common divisor of 45 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**3 - 762124*k**2 - 9145920*k - 27438192 = 0. Calculate k.\nAnswer: -6, 190543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*q + 111 = -0*q, 3*q = 4*w - 81. What is the smallest common multiple of 9 and w?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 623014.\nAnswer: -3\/623014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 75768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -302 + 338. Let z be s\/(-36)*(-1)\/(-5). What is the closest to -2 in -0.3, 0, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 140019, 279990, 419961, 559932, 699903, 839874?\n\"Answer: 139971*j + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70487745 to the nearest integer?\nAnswer: 8396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 3 + -4 - -34.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 1. Let v be g(5). Let h(r) = -3*r + 2. Let i(a) = 3*a - 1. Let d(w) = 6*h(w) + 7*i(w). Determine d(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43.8 + 44. Which is the third smallest value? (a) 104 (b) 0.1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100100110111001011111 (base 2) to base 3.\nAnswer: -2021100221011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -51*4\/30 - -2. Let z = q - -52\/15. Is -1 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21)\/(-9)*(-330)\/3080. Sort -1, l, 20, 2\/5, 2\/11.\nAnswer: -1, l, 2\/11, 2\/5, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 13*w - 27. What is the remainder when 67 is divided by t(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28819 (base 13) to base 3.\nAnswer: -10212100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -34588, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 11*z - 2. Let f(a) = -10*a + 3. Let b(w) = 5*c(w) + 6*f(w). Let p be b(2). Does p = -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4 - 289*b**3 + 1476*b**2 + 1764*b.\nAnswer: -b*(b - 6)*(b + 1)*(b + 294)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 235?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 2, 0 in increasing order.\nAnswer: -47, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-1*(5 - 3)). Let a = -3809 + 3812. Solve 5*h - 3*g + 5 = a, -5*h + 5*g = i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -0.19\nAnswer: 0.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 120643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6332.061 months to millennia.\nAnswer: 0.52767175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(41\/4)\/(p**2\/p)*(p\/(p**15*p))**(-6\/29) assuming p is positive.\nAnswer: p**(1433\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/18 + ((-106)\/3)\/((-33)\/9097)?\nAnswer: 2, 5, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 - 23 + 30*x**2 - 18 - x + 60 in the form u*x + s*x**2 + p and give s.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1917 - -2154. Calculate the highest common factor of j and 1106.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -303250 (base 6) in base 5?\nAnswer: -1232303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.1 + -1. Let s = -3.9 - h. Sort 2\/7, s, 0.\nAnswer: s, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6496 times 4?\nAnswer: 2.5984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2\/5 (b) 3 (c) 1441\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (19\/((-95)\/216))\/((-6)\/20)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**4\/9 + 8*h**3\/3 + 4*h**2 - 56*h\/9 = 0. What is h?\nAnswer: -2, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-130)\/(-20)*1*4. Let h be (-4)\/n + -1*(-14)\/(-78). Let t = 2 + -2.5. What is the closest to h in 0.1, t, -3\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -451597, -902237, -1352877, -1803517, -2254157?\n\"Answer: -450640*q - 957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 975198, 1950385, 2925572, 3900759, 4875946?\nAnswer: 5851133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = 8210*g - 8231*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.54 + -0.06. Let a = b - -0.1. What is the third biggest value in 0.4, a, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -4 - 8 - 2*g**2 - 11*g + g**2. Let n be d(-11). What is the units digit of 32\/6 - (-4)\/n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 72 (b) -3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + (-86)\/10)\/((143\/13)\/(-55)) + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 95 = -21. List the prime factors of i.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139292 divided by 718.\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 441 in decreasing order.\nAnswer: 441, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/(-3) + 4 - 0. Let k be 10\/i*(69\/(-45) + 1). Put 3, k, -3 in descending order.\nAnswer: 3, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**2 + 672345*o - 100290410 = 0 for o.\nAnswer: -134618, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 135*z - 4288. Determine b(95).\nAnswer: -488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1647*l**3*t**2 + 29801*l**2*t**3 - 665*l*t**3 - 2*l*t**2 + 14*l - 15*t**3 - 12*t**2 + 2*t wrt l?\nAnswer: -9882*l*t**2 + 59602*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -466357 by 466357.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 461 and -0.196 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 2:42 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115855682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 12:14 PM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 747*t = 511*t + 18172 for t.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 9 = -29. Let r be ((-15)\/10)\/((-2)\/z). Find w such that -5*w**r - 3*w**4 - 3*w**4 + 8*w**3 + 3*w**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3328, 6654, 9980, 13306?\nAnswer: 16632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/4, -0.047, -3, -6\/7?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 6*f + 15. Let s be m(-7). Let d = 26 - s. Solve 5*g + d*i + 21 = -0*g, -4*i = -5*g + 11 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23723)\/9016 + ((-23877)\/504 - -50).\nAnswer: -1\/161","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 20. Suppose 4*z = -4*c + 5*c - 26, -5*c + m*z + 55 = 0. Suppose -3*d = -0*d - c. Is d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.2, 1, -0.0551, 0 in ascending order.\nAnswer: -0.2, -0.0551, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**4\/3 - 14169*x**3 - 86740877*x**2 - 432946052525*x\/3 = 0.\nAnswer: -35525, -3491, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - v. Let z(a) = 4*a**3 + 8*a + 2. Let y(i) = -8*w(i) - z(i). Let s(g) be the first derivative of y(g). Determine s(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -3\/2, 0.26, 5, -5, -35, -2\/13?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 166550 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - 12) + (43 - 29)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 + -11211?\nAnswer: -11174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 21130827, 21130829, 21130831, 21130833?\n\"Answer: 2*n + 21130825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 443970615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2)*(r + 0*r - 2*r) - 28*r + 149*r - 126*r - 1845 in the form y + u*r and give y.\nAnswer: -1845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = c + 122, -5*l + 0*l - 194 = -3*c. Let o = l + 40. Sort o, -7, 3 in descending order.\nAnswer: 3, o, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -5.2, -0.2, -47, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38365.\nAnswer: 5, 7673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 4*v - 22 = 0, 383 = -5*h - 3*v + 361 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-3)*((-834)\/9 - 2). Let f = o + -42. Is -326 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49142 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 12 = 4*u, -2*u + 12 = 2*u + 2*v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*m + 3874, 6*z + 1949 = 7*z + 5*m. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 5*m - 9. Let w be 2\/11 - (-375)\/55. Give p(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1561 + -1538. Solve 10*t = c*t - 26 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -3725*x**7\/42 + 509*x**3\/3 - 3*x**2\/2 + 11*x + 6. Find the second derivative of a(u) wrt u.\nAnswer: -74500*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 1702608.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50*k**2*m*y**2 - 7*k**2*y**2 - 7*k**2*y + 2*k*y**2 - 2*k - 2*m*y + 9*y wrt y.\nAnswer: 100*k**2*m - 14*k**2 + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 35 - 17 = 0. Let p(h) = 0*h + 15 + 4*h - 6. What is the remainder when p(7) is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -230\/3 - -2077\/6. Let i = -22103\/82 + d. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 19*f**4\/2 - 2189*f**3\/2 - 15228*f**2 - 41472*f = 0.\nAnswer: -9, -72\/19, 0, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 91\/9 - 21\/189. Calculate the remainder when 98 is divided by (-44)\/l*(-145)\/58.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24834153 to the power of 1\/2, to the nearest integer?\nAnswer: 4983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -52 divided by -3185076\nAnswer: 13\/796269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 - -35. Suppose -154 = -z - 6*q + 3*q, -f*q - 462 = -3*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 841 greater than or equal to -0.4472?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o + 21 - 117 - o.\nAnswer: -5*o - 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 4*u + 1 - 3, -2*u = 4*j + 2. Let m(f) = -11*f**3. What is the least common multiple of m(j) and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}